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authorKarl Berry <karl@freefriends.org>2011-06-06 17:19:18 +0000
committerKarl Berry <karl@freefriends.org>2011-06-06 17:19:18 +0000
commit1f6bce2a4b0fd5635fe362e71a7f4cdb1a64d2ab (patch)
treec7154971525dd33d30e7cda156dd1053ef621896
parentf1d06fce2319ea434c6a7721760307eb22570c93 (diff)
tkz-tab (5jun11)
git-svn-id: svn://tug.org/texlive/trunk@22834 c570f23f-e606-0410-a88d-b1316a301751
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/README63
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-main.tex92
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf9402
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/doctab.ist7
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZ-doc-tab-faq.tex1
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-adapt.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-adapt.tex)103
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-bac.tex206
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-examples.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex)40
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-image.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex)48
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-init.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex)126
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-install.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex)12
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-main.tex161
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-sign.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-sign.tex)204
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-slope.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-slope.tex)12
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-style.tex292
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tangente.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex)77
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tv.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tv.tex)28
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-valeurs.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex)97
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-variation.tex (renamed from Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex)245
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab.ist6
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt26
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdfbin48436 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.tex28
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/tkz-tab-screen.pdfbin0 -> 426080 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdfbin40463 -> 0 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/var-latin1.tex35
-rw-r--r--Master/texmf-dist/tex/latex/tkz-tab/tkz-tab.sty45
27 files changed, 1336 insertions, 10020 deletions
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/README b/Master/texmf-dist/doc/latex/tkz-tab/README
new file mode 100644
index 00000000000..606e09d2852
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/README
@@ -0,0 +1,63 @@
+A. Purpose
+
+The 'tkz-tab' package is built on top of PGF and its associated front-end, TikZ and is a (La)TeX-friendly drawing package. The aim is to provide some useful macros to build tables showing variations of functions as they are used in France.
+These macros may be used by only LaTeX TeX users. The documentation is in French.
+
+B. Features
+ -- works with utf8 and pdflatex
+ -- provides 'help' option,
+ -- allows to draw tables of variations with a "forbidden zone",
+ -- allows to use TikZ.
+
+C. Licence
+
+You may freely use and distribute this package under the terms of lppl and/or gpl.
+
+Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete documentation
+
+D. Contents of the folder (encoding utf8)
+
+ -- README (this file)
+ -- inputs: tkz-tab.sty
+ -- doc: TKZdoc-tab.pdf,
+ tkz-doc.cls,
+ tkzexample.sty,
+ doctab.ist,
+ TKZdoc-tab-adapt.tex
+ TKZdoc-tab-examples.tex,
+ TKZdoc-tab-images.tex,
+ TKZdoc-tab-init.tex,
+ TKZdoc-tab-install.tex,
+ TKZdoc-tab-main.tex
+ TKZdoc-tab-sign.tex,
+ TKZdoc-tab-slope.tex,
+ TKZdoc-tab-tangente.tex,
+ TKZdoc-tab-tv.tex,
+ TKZdoc-tab-valeurs.tex,
+ TKZdoc-tab-variation.tex
+ var-latin1.tex ( example with latin1)
+ var-latin1.pdf
+ sign-latin1.tex( example with latin1)
+ sign-latin1.pdf
+
+tkz-doc.cls is a class (beta version) to make the documentation. You need also the
+tkzexample.sty package (beta version) and KOMA-Script 2009/01/24 v3.02b to
+ compile the documentation.
+
+E. Installation
+
+If you need to install it by yourself, a TDS compliant zip archive is
+provided (tkz-tab.zip). Just download that file, and unpack it in
+your TDS directory (~/texmf for Unix-like systems). If you only need to use
+ 'tkz-tab.sty' then you have to copy 'tkz-tab.sty' into '~/texmf/tex/latex'.
+ If you want also to compile the documentation then you need to copy tkz-doc.cls and tkzexample.sty in the same folder and you need to use pdf(e)tex.
+
+With MiKTeX, copy folder 'tkz-tab.sty' into 'C:\texmf\tex\latex', then
+run 'MiKTeX Options'. In the 'File name database' section, click on
+'Refresh now'.
+
+F. The author of the 'tkz-tab.sty' package is Alain Matthes.
+--
+Alain Matthes, <al.ma@mac.com>
+February, 24th, 2009
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-main.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-main.tex
deleted file mode 100644
index f7357026bfb..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-main.tex
+++ /dev/null
@@ -1,92 +0,0 @@
-% 25 / 02 /2009 v1.0c TKZdoc-tab-main 11h
-\documentclass[DIV=14,fontsize=11,headinclude=false,index=totoc,footinclude=false,headings=small]{tkz-doc}
-\usepackage{tkz-tab}
-\usepackage[frenchb]{babel}
-\usepackage[np,autolanguage]{numprint}
-\RequirePackage{microtype}
-\DisableLigatures{encoding = T1, family = tt*}
-
-\gdef\nameofpack{Tkz-Tab}
-\gdef\versionofpack{1.0c}
-\gdef\dateofpack{2009/02/22}
-\gdef\nameofdoc{doc-tkz-tab}
-\gdef\dateofdoc{2009/02/25}
-\gdef\authorofpack{Alain Matthes}
-\gdef\adressofauthor{}
-\RequirePackage{shortvrb}
-\makeatletter
-\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4em}}
-\makeatother
-\AtBeginDocument{\MakeShortVerb{\|}}
-
-\colorlet{graphicbackground}{white}
-\colorlet{codebackground}{Peach!20}
-\newcommand*{\E}{\ensuremath{\mathrm{e}}}
-
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\begin{document}
-
-\title{\nameofpack}
-\date{\today}
-\clearpage
-\thispagestyle{empty}
-\maketitle
-\clearpage
-
-\nameoffile{\nameofpack}
-\defoffile{\textbf{tkz-tab.sty} est un package pour créer à l'aide de TikZ des tableaux de signes et de variations le plus simplement possible. Il est dépendant de TikZ et fera partie d'une série de packages ayant comme point commun, la création de dessins utiles dans l'enseignement des mathématiques. La lecture de cette documentation va, je l'espère vous permettre d'apprécier la simplicité d'utilisation de TikZ et vous permettre de commencer à le pratiquer.}
-
-\presentation
-
-\vfill
-\lefthand\ Je remercie \tkzimp{Till Tantau} pour nous permettre d'utiliser \tkzname{\TIKZ}.
-
-\lefthand\ Je remercie \tkzimp{Michel Bovani} pour nous permettre d'utiliser \tkzname{fourier} et \tkzname{utopia} avec \LaTeX.
-
-\lefthand\ Je remercie également \tkzimp{Jean-Côme Charpentier}, \tkzimp{Manuel Pégourié-Gonnard}, \tkzimp{Franck Pastor}, \tkzimp{Ulrike Fischer} et \tkzimp{Josselin Noirel} pour les différentes idées et conseils qui m'ont permis de faire ce package, ainsi que \tkzimp{Herbert Vo\ss } pour son document \tkzname{mathmode.pdf}.
-
-\medskip
-\begin{center}
- \begin{tikzpicture}[decoration=snake,color=Peach,line width=1pt]
- \draw[decorate] (0,0)--(\textwidth-1cm,0);
- \end{tikzpicture}
-\end{center}
-
-\clearpage
-\tableofcontents
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}}
-\newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}}
-\newcommand*{\vbo}{\colorbox{blue!50} {$\scriptscriptstyle V_{b1}$}}
-\newcommand*{\vbt}{\colorbox{yellow!50}{$\scriptscriptstyle V_{b2}$}}
-\newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}}
-\newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}}
-\newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}}
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\include{TKZdoc-tab-install}
-\include{TKZdoc-tab-init}
-\include{TKZdoc-tab-sign}
-\include{TKZdoc-tab-variation}
-\include{TKZdoc-tab-tv}
-\include{TKZdoc-tab-valeurs}
-\include{TKZdoc-tab-image}
-\include{TKZdoc-tab-tangente}
-\include{TKZdoc-tab-slope}
-\include{TKZdoc-tab-adapt}
-\include{TKZdoc-tab-examples}
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\printindex
-\end{document}
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-
-
-
-
-
-
-
-
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf
deleted file mode 100644
index 823bc329cff..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf
+++ /dev/null
@@ -1,9402 +0,0 @@
-%PDF-1.4
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+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZ-doc-tab-faq.tex
@@ -0,0 +1 @@
+dans la commande tkzTabVar, emplois de ’/’ qui me semblent superflus avec la nouvelle syntaxe. Il serait bon, je pense, de préciser que, dans le cas d’un tableau comportant plusieurs lignes de variations, le placement de la commande tkzTabVal doit venir juste après la commande tkzTab- Var définissant la ligne de variations sur laquelle on souhaite placer les valeurs intermédiaires. \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-adapt.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-adapt.tex
index 4b4d9989168..01b926f9e3b 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-adapt.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-adapt.tex
@@ -1,4 +1,9 @@
-% 23 / 02 /2009 v1.0c TKZdoc-tab-adapt
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
+% $Id$
+% v1.0c TKZdoc-tab-adapt
+%
+% Created by Alain Matthes on 2010-02-23.
+% Copyright (c) 2010 __Collège Sévigné__. All rights reserved.
\section{Personnalisation des tableaux}\label{pers}
\subsection{\texttt{\textcolor{red}{help}} : option commune aux principales macros}
@@ -6,7 +11,7 @@
\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabInit}}
Cette option permet de connaître la structure d'un tableau. \tkzname{deltacl=1} permet d'espacer un peu les points et les labels
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit[deltacl=1,espcl=8,help]%
{$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}%
@@ -17,7 +22,7 @@ Cette option permet de connaître la structure d'un tableau. \tkzname{deltacl=1}
\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabLine}}
Afin de mieux voir les labels il est préférable de pas employer l'option \tkzname{help} en même temps sur toutes les macros.
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit[deltacl=1,espcl=8]%
{$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}%
@@ -29,7 +34,7 @@ Afin de mieux voir les labels il est préférable de pas employer l'option \tkzn
\subsubsection{\texttt{\textcolor{red}{help}} : option de \addbs{tkzTabVar}}
Cette option montre les nodes qui sont utilisés pour le tracé des flèches de variations. Afin de ne pas multiplier les labels de nodes, seuls les nodes utilisés ont été nommés. Une flèche débute par un node nommé \tkzname{FR} (right = droite du node) et se termine par un node nommé \tkzname{FL} (left gauche du node)
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit[deltacl=1,espcl=8]%
{$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/1.5}%
@@ -41,7 +46,7 @@ Cette option montre les nodes qui sont utilisés pour le tracé des flèches de
Voici un exemple plus complexe
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit
{$x$ /1,
@@ -54,7 +59,7 @@ Voici un exemple plus complexe
\end{tkzexample}
ce qui donne
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit
{$x$ /1,
@@ -67,7 +72,7 @@ ce qui donne
\end{tkzexample}
La connaissance de tous ces points et nodes permet de personnaliser les tableaux. Quelques explications supplémentaires sont données dans le paragraphe suivant.
-\newpage
+
\subsection{Les structures}
\subsubsection{La structure principale}
@@ -75,7 +80,7 @@ La macro \tkzname{tkzTabInit} définit les principaux \tkzname{nodes}. Ce sont
Par exemple, si le tableau comporte 3 lignes alors les nodes $T00$, $T01$, $T02$, $T10$, $T11$, $T12$, $T03$, $T13$ et $T23$ sont créés, ainsi que $F0$, $F1$ et $F2$. $Tij$ représente un point de la colonne $i$ et de la ligne $j$. Pourquoi cet ordre ? je n'en sais rien
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[color=false,espcl=4,lgt=3]{%
\colorbox{red}{\textcolor{white}{$\scriptscriptstyle F0$}} / 1,%
@@ -115,7 +120,7 @@ Ainsi la structure principale de ce tableau possède exactement trois filets ver
J'appelle structure interne, l'ensemble des points et nodes qui vont être définis par les antécédents dans la partie droite du tableau. Le second argument de la macro \tkzname{tkzTabInit} définit cette structure. Cet argument donne le nombre de labels (antécédents) qui vont être placés sur la première ligne et qui vont être les repères pour les lignes de signes et de variations.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[color=false,espcl=4,lgt=3]{%
\colorbox{red} {\textcolor{white}{$\scriptscriptstyle F0$}} / 1,
@@ -153,7 +158,7 @@ J'appelle structure interne, l'ensemble des points et nodes qui vont être défi
\subsubsection{La structure secondaire}
Les points $Zij$, $Sij$ sont définis à partir de la structure interne (voir le tableau précédent) mais seulement avec l'usage de la macro \tkzcname{tkzTabLine}. Les points $FRij$ et $FLij$ eux sont définis avec l'usage de la macro \tkzcname{tkzTabVar}
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit
{$x$ /1,
@@ -214,36 +219,36 @@ Les points $Zij$, $Sij$ sont définis à partir de la structure interne (voir le
\bigskip
\begin{tabular}{ccllc}
-\hline
+\toprule
type & notation & repère & conditions & utilisation\\
-\hline
+\midrule
\tikz \draw[fill=red] (0,0) rectangle (0.3,0.3) node(X) {}; & Fj & ligne & $0\leq j\leq p$ & expressions,formules \\
-\hline
+\midrule
\tikz \draw[fill=blue] (0,0) rectangle (0.3,0.3)node(X) {}; & Li & colonne& $1\leq i\leq n$ & valeurs significatives pour les variations \\
-\hline
+\midrule
\tikz \draw[fill=blue] circle (2pt)node(X) {}; &%
Tij & colonne& $0\leq i\leq 2$ ;& structure principale du tableau\\
& & ligne &$0\leq j\leq p$ & il existe une ligne $0$ et une colonne $0$\\
-\hline
+\midrule
\tikz \draw[fill=green] circle (2pt)node(X) {}; & Nij &colonne &$1\leq i\leq n$ & structure interne du tableau \\
& & ligne &$0\leq j\leq p$ & \\
-\hline
+\midrule
\tikz \draw[fill=green] circle (2pt)node(X) {}; & Mij &colonne &$1\leq i\leq n$ & structure interne du tableau \\
& & ligne &$0\leq j\leq p$ & \\
-\hline
+\midrule
\tikz \draw[fill=yellow] circle (2pt)node(X) {}; & Sij &colonne &$1\leq i\leq n$ & structure secondaire du tableau \\
& & ligne &$1\leq j\leq q$ & \\
-\hline
+\midrule
\tikz \draw[fill=yellow] circle (2pt)node(X) {};& Zij &colonne &$1\leq i\leq n$ & structure secondaire du tableau \\
& & ligne &$1\leq j\leq q$ & \\
-\hline
+\midrule
\end{tabular}
-\newpage
+
\subsection{Ajustement des dimensions}
Nous avons vu précédemment que l'on pouvait modifier certaines dimensions à l'aide de l'emploi d'options. Le code du tableau suivant utilise les structures du tableau
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit
{$x$ / 1}
@@ -267,25 +272,27 @@ Nous avons vu précédemment que l'on pouvait modifier certaines dimensions à l
\index{scale}
-\begin{tkzexample}[width=7cm,very small]
+\begin{tkzexample}[width=7cm,small]
\begin{tikzpicture}[scale=.8]
\tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2}
{ $0$ , $+\infty$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
Il est aussi possible d'utiliser \tkzname{xscale} et \tkzname{yscale}.
-\begin{tkzexample}[width=7cm,very small]
+\begin{tkzexample}[width=7cm,small]
\begin{tikzpicture}[xscale=.8,yscale=1.5]
\tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2}
{ $0$ , $+\infty$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Exemples d'utilisation}
\subsubsection{Une croix sur un tableau}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab{$x$ / 1, $f'(x)$ / 1.5, $f(x)$ / 3}%
{$-5$ , $-2$ , $1$ , $+\infty$}%
@@ -296,13 +303,14 @@ Il est aussi possible d'utiliser \tkzname{xscale} et \tkzname{yscale}.
+/ $+\infty$ / }%
\draw[line width=2pt,red] (T00) to (T23);
\draw[line width=2pt,red] (T03) to (T20);
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Une croix sur une case}
L'intérêt est de faciliter la personnalisation d'un tableau. Par exemple, si nous souhaitons ajouter un tracé comme une croix dans une case, on peut procéder ainsi :
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit%
{$x$ /1,
@@ -311,7 +319,8 @@ L'intérêt est de faciliter la personnalisation d'un tableau. Par exemple, si n
{$0$ , $\E$ , $+\infty$}
\draw[red] (T12) -- (T23);
\draw[red] (T13) -- (T22);
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Mise en évidence de signes}
\medskip
@@ -322,7 +331,7 @@ On peut ainsi placer des signes sur la seconde ligne qui n'a pas été mise en f
\path (M31)--(M32) node[midway,draw,fill=blue!10] {+};
\end{tkzexample}
- \begin{tkzexample}[very small]
+ \begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1}
{$-\infty$ , $-1$ , $1$ , $+\infty$}
@@ -348,7 +357,7 @@ Ensuite il reste à créer des nodes
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1}
{$-\infty$ , $-1$ , $1$ , $+\infty$}
@@ -378,7 +387,7 @@ On peut hachurer un rectangle par
\end{tkzexample}
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit{$x$ / 1 , $\ln{(x^2-1)}$/1}
{$-\infty$ , $-1$ , $1$ , $+\infty$}
@@ -392,7 +401,7 @@ On peut hachurer un rectangle par
Afin de mettre en évidence le signe d'une expression du second degré, il est possible de mettre en couleur les parties extérieures. \tkzcname{draw[fill=Red!80,opacity=0.4](N11) rectangle (N22);}. La syntaxe est celle de \TIKZ. Un rectangle est défini par deux sommets opposés.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[deltacl=1,lgt=3,espcl=2]%
{$x$ /1,$x^2-3x+2$ /1}%
@@ -400,10 +409,11 @@ Afin de mettre en évidence le signe d'une expression du second degré, il est p
\tkzTabLine {t,+,0,-,0,+,t}
\draw[fill=Red!80,opacity=0.4](N11) rectangle (N22);
\draw[fill=Red!80,opacity=0.4](N31) rectangle (N42);
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Mise en évidence de valeurs}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab
{$x$ /1,
@@ -413,11 +423,12 @@ ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
{t,-, ,-,t}
{ + / $1$ , -CD+ / \colorbox{red}{\textcolor{white}{$0$}} / $+\infty$ , - / $1$ }%
\node[draw,inner sep=2pt,circle,fill=yellow] at (Z21) {$0$} ;
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Mise en évidence de limites}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=8]%
{$x$/1 , Variation\\ de $\ln$/2}%
@@ -425,7 +436,8 @@ ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
\tkzTabVar {D-/ $-\infty$, +/$+\infty$ }
\draw[opacity=.3,fill=red] (FR11) circle (10pt);
\draw[opacity=.3,fill=red] (FL21) circle (10pt);
- \end{tikzpicture}\end{tkzexample}
+ \end{tikzpicture}
+\end{tkzexample}
\subsubsection{Décoration}
@@ -438,7 +450,7 @@ Il est nécessaire de charger une librairie de \TIKZ\footnote{pgf/tikz version 2
decorate,line width=2pt,red] (T10) -- (T20);\end{tkzexample}
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=1.5]
{$x$ /1,
@@ -453,7 +465,7 @@ Il est nécessaire de charger une librairie de \TIKZ\footnote{pgf/tikz version 2
\subsubsection{Avec de la couleur}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[color,colorC = blue!30,colorL = orange!50,
colorT = green!30,colorV = red!50,espcl=8]
@@ -464,7 +476,8 @@ Il est nécessaire de charger une librairie de \TIKZ\footnote{pgf/tikz version 2
\tkzTabVal[draw]{1}{2}{0.3}{\textcolor{red}{$\text{1}$}}{\textcolor{blue}{$0$}}
\tkzTabVal[draw]{1}{2}{0.6}{\textcolor{red}{$\text{\large e}$}}{\textcolor{blue}{$1$}}%
\draw[fill=gray,opacity=0.6] (T11) rectangle (N13);
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Écrire dans un tableau}
@@ -489,13 +502,14 @@ Aucune restriction au niveau de l'écriture, l'exemple suivant :
$\ln (x) +x$ /1%
}%
{ $0$ , $1$ , $+\infty$ }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Tableau de proportionnalité}
On utilise ici un compteur interne \tkzname{tkz@cnt@pred} du package. l' arrobase \tkzname{@} devient une lettre ordinaire à l'aide des macros \tkzname{makeatletter} et \tkzname{makeatother}. Ce compteur va servir à tracer des filets verticaux afin de séparer les antécédents et les images.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=0.5]{ $x$/1,$f(x)$ /1}%
{1,,2,,3,,4,,5,,6}%
@@ -510,7 +524,8 @@ On utilise ici un compteur interne \tkzname{tkz@cnt@pred} du package. l' arrobas
\draw (M22) to [bend right] node[below]{$\times 3$} (7.5,-2);
\draw (8,-0.25) to [post,bend left=60] node[midway,above,sloped] {$\times 5$} (8,-1.75);
\end{scope}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\endinput
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-bac.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-bac.tex
new file mode 100644
index 00000000000..27ba75a82b5
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-bac.tex
@@ -0,0 +1,206 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
+\section{Exemples avec alterqcm.sty et tkz-fct}\label{prof}%
+Dans ce chapitre, les exemples sont encore des sujets de Baccalauréat ES utilisant le module \tkzname{alterqcm.sty} mais aussi les modules dérivés de tikz, \tkzname{tkz-fct.sty} et bien évidemment \tkzname{tkz-tab.sty}.
+Vous trouverez des exemples accompagnant cette documentation avec un \textcolor{red}{|préambule minimum|}.
+\vfill
+\example{Baccalauréat Centres Étrangers ES 2006 }\label{bac1}
+
+\medskip
+\begin{alterqcm}[lq=70mm,pre=true]
+
+\AQmessage{ Soit $f$ une fonction définie et dérivable sur l'intervalle $]-5~;~+\infty[$ dont le tableau de variations est donné ci-dessous :
+\begin{center}
+\begin{tikzpicture}
+\tkzTabInit[espcl=1.75]{$x$/1,$f(x)$/3}
+ {$-5$,$-1$,$0$,$2$,$+\infty$}
+\tkzTabVar{-/$-\infty$ /,%
+ +/$-3$/,%
+ -/$-5$/,%
+ +/4 /,%
+ -/{4,5}/}
+\end{tikzpicture}
+\end{center}
+ On désigne par $\mathcal{C}$ la courbe représentative de $f$.}
+
+
+\AQquestion{Sur l'intervalle $]-5~;~+\infty[$, l'équation $f(x) = -2$ admet }
+{{une seule solution},
+{deux solutions},
+{quatre solutions}
+}
+\AQquestion{Sur l'intervalle $]-5~;~+\infty[$ la courbe $\mathcal{C}$ admet : }
+{%
+{\begin{minipage}{6cm}\small une seule asymptote la droite d'équation $x = -5$%
+\end{minipage}},
+{\begin{minipage}{6cm}\small exactement deux asymptotes, les droites d'équations $x = -4,5$ et $y = -5$%
+\end{minipage}},
+{\begin{minipage}{6cm}\small exactement deux asymptotes, les droites d'équations $y = -4,5$ et $x = -5$%
+\end{minipage}}%
+}
+\AQquestion{On sait que $f'(2) = 0$. L'équation de la tangente à $\mathcal{C}$ au point d'abscisse $2$ est : }
+{{$y = 4$},
+{$y = 4(x -2)$},
+{$y = 4(x -2)$}
+}
+\AQquestion{On sait que l'équation de la tangente à $\mathcal{C}$ au point de coordonnées (1 ; 2) est $y = 3x - 1$. On a :}
+{{$f(2) = 1$},
+{$f'(1) = -1$},
+{$f'(1) = 3$}
+}
+\AQquestion{Sur l'intervalle $]2~;~+\infty[$, la fonction $g$ définie par $g(x) =\text{e}^{-f(x)}$ }
+{{est croissante},
+{est décroissante},
+{n'est pas monotone.}
+}
+\AQquestion{On pose $h(x) = \ln \left[f(x) + 5\right]$. Alors la fonction $h$ : }
+{{$\mathbb{R}$},
+{$]0~;~+\infty[$},
+{$[0~;~+\infty[$}
+}
+\end{alterqcm}
+
+
+\vfill
+\example{Baccalauréat ES Antilles juin 2004 }\label{bac2}
+
+\medskip
+
+\begin{alterqcm}[lq=110mm,pre=true]
+
+\AQmessage{ La figure 1. donne la représentation graphique d'une fonction $f$ définie sur $\mathbf{R}^+$ et la figure 2 celle d'une primitive de $f$ sur $\mathbf{R}^+$.
+\begin{center}
+ \begin{tikzpicture}[xscale=2.25,yscale=1]
+ \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6]
+ \tkzX
+ \tkzY
+ \tkzFct[label=false,samples=100](-1..2.2){x+exp(x-1)}
+ \tkzPoint[noname,coord](1,2){pt1}
+ \tkzPoint[noname,coord,label,xlabel={},%
+ ylabel=$\text{e}+2$,posylabel=10pt]%
+ (2,2+e){pt2}
+ \tkzRep
+ \end{tikzpicture}
+\end{center}
+\begin{center}
+ \begin{tikzpicture}[xscale=2.25,yscale=1]
+ \tkzInit[xmin=-2,xmax=3,ymin=-1,ymax=6]
+ \tkzX
+ \tkzY
+ \tkzFct(-2..2.2){x*x/2+exp(x-1)}
+ \tkzPoint[noname,coord,label,xlabel={},ylabel=$3/2$](1,1.5){pt1}
+ \tkzPoint[noname,coord,label,xlabel={},%
+ ylabel=$\text{e}+2$,posylabel=10pt]%
+ (2,2+e){pt2}
+ \tkzRep
+ \end{tikzpicture}
+\end{center}
+}
+
+\AQquestion{Quelle est l'aire, en unités d'aire, de la partie du plan limitée par la représentation graphique de la fonction $f$, l'axe des abscisses et les
+droites d'équation $x = 1$ et $x = 2$ ? }
+{{$\text{e} + \cfrac{3}{4}$},
+{$\text{e} + \cfrac{1}{2}$},
+{$1$}
+}
+
+\end{alterqcm}
+
+\medskip
+\hfill Tournez la page s.v.p.
+
+
+\begin{alterqcm}[lq=70mm,pre=false,numbreak=1]
+\AQmessage{La fonction $k$ définie et strictement positive sur $\mathbf{R}^+$ est connue par son tableau de variations.
+\begin{center}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$k(x)$/1.5}
+ {$0$,$1$,$3$,$+\infty$}
+ \tkzTabVar{-/ /,%
+ +/ /,%
+ -/ /,%
+ +/ $+\infty$ /}%
+ \end{tikzpicture}
+\end{center}%
+}
+
+\AQquestion{Pami les tableaux suivants, quel est le tableau de variations de la fonction $g$ définie sur
+$\mathbf{R}^+$ par \[g(x) = \cfrac{1}{k(x)}\ ? \]}
+{{Tableau A},
+{Tableau B},
+{Tableau C}
+}
+
+\AQmessage{%
+\begin{center}
+Tableau A\\
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5}
+ {$0$,$1$,$3$,$+\infty$}
+ \tkzTabVar{-/ /,%
+ +/ /,%
+ -/ /,%
+ +/ $+\infty$ /}%
+ \end{tikzpicture}
+\end{center}
+\begin{center}
+Tableau B\\
+\begin{tikzpicture}\activoff
+ \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5}
+ {$0$,$1$,$3$,$+\infty$}
+ \tkzTabVar{+/ /,%
+ -/ /,%
+ +/ /,%
+ -/ $-\infty$ /}%
+ \end{tikzpicture}
+\end{center}
+\begin{center}
+Tableau C\\
+\begin{tikzpicture}\activoff
+ \tkzTabInit[lgt=1,espcl=2]{$x$/0.5,$g(x)$/1.5}
+ {$0$,$1$,$3$,$+\infty$}
+ \tkzTabVar{-/ /,%
+ +/ /,%
+ -/ /,%
+ +/ $0$ /}%
+ \end{tikzpicture}
+\end{center}
+}
+
+\AQquestion{Soit $h$ la fonction définie sur $\mathbf{R}$ par $h(x) = \text{e}^x - x + 1$.
+On note $\mathcal{C}$ la courbe représentative de $h$ dans un repère
+orthonormal $O;\vec{\imath};\vec{\jmath}$.}
+{{%
+\begin{minipage}{5cm}\small
+ La droite d'équation $y = 1$ est
+ asymptote à $\mathcal{C}$%
+\end{minipage}
+},
+{\begin{minipage}{5cm}\small
+ La droite d'équation $x = 0$ est
+asymptote à $\mathcal{C}$
+\end{minipage}},
+{\begin{minipage}{5cm}\small
+ La droite d'équation $y = -x + 1$ est
+asymptote à $\mathcal{C}$
+\end{minipage}}
+}
+\AQquestion[pq=5mm]{%
+En économie, le coût marginal est le coût occasionné par la
+production d'une unité supplémentaire, et on considère que le coût
+marginal est assimilé à la dérivée du coût total.\\
+Dans une entreprise, une étude a montré que le coût marginal
+$C_{m}(q)$ exprimé en millliers d'euro en fonction du nombre $q$
+d'articles fabriqués est donné par la relation :
+\[C_{m}(q) = 3q^2 - 10q + \cfrac{2}{q} + 20.\]
+}
+{%
+{$C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q + 9984$},
+{$C_{r}(q) = q^3 - 5q^2 + 2\ln q + 20q - 6$},
+{$C_{r}(q) = 6q - 10 - \cfrac{2}{q^2}$}
+}
+
+\end{alterqcm}
+
+\vfill
+
+\endinput
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-examples.tex
index 082bd65f208..f7ffabafe36 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-examples.tex
@@ -27,7 +27,8 @@ Voici le code complet
\tkzTabLine { ,+,t,+,z,-, }
\tkzTabLine { ,+,z,-,z,+, }
\end{tikzpicture}
-\end{document}\end{tkzexample}
+\end{document}
+\end{tkzexample}
\end{center}
\begin{tikzpicture}
@@ -52,7 +53,7 @@ Quelques remarques sur ce code. Le codage utilisé n'a pas d'importance, si vous
Étude de la fonction $f~:~ x \longmapsto \frac{x^3+2}{2x}$ sur $]-\infty~;~+\infty[$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[]
{$x$ /1, $f'(x)$ /1,$f$ /3}
@@ -60,7 +61,8 @@ Quelques remarques sur ce code. Le codage utilisé n'a pas d'importance, si vous
\tkzTabLine{,-,d,-,z,+,}
\tkzTabVar{+/$+\infty$ ,-D+/$-\infty$ / $+\infty$ ,-/$\frac{3}{2}$, +/$+\infty$}
\tkzTabVal{1}{2}{0.4}{$ -\sqrt[3]{2}$}{$0$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Variation d'une fonction irrationnelle}
@@ -69,7 +71,7 @@ Autre exemple cité dans la documentation du package \tkzname{tabvar}
Étude de la fonction $f~:~ x \longmapsto \sqrt{\frac{x-1}{x+1}}$ sur $]-\infty~;~-1[\cup ]1~;~+\infty[$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[]
{$x$ /1, $f'(x)$ /1,$f$ /3}
@@ -77,11 +79,12 @@ Autre exemple cité dans la documentation du package \tkzname{tabvar}
\tkzTabLine{,+,d,h,d,+, }
\tkzTabSlope{ 3/ /+\infty}
\tkzTabVar{-/$1$ ,+DH/$+\infty$ ,-/$0$, +/$1$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors le tableau deviendrait
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[]
{$x$ /1, $f'(x)$ /1,$f$ /3}
@@ -89,7 +92,8 @@ Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors l
\tkzTabLine{,+,d,0,d,+, }
\tkzTabSlope{ 3/ /+\infty}
\tkzTabVar{-/$1$ ,+D-/$+\infty$/$0$ ,-/$0$, +/$1$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Fonctions trigonométriques}
@@ -106,7 +110,8 @@ Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors l
\tkzTabVar{-/$0$ , +D-/$+\infty$/$-\infty$ , +/$0$ }
\tkzTabVal{1}{2}{0.5}{$\frac{\pi}{4}$}{$1$}
\tkzTabVal{2}{3}{0.5}{$\frac{3\pi}{4}$}{$1$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Variation de la fonction cosinus}
\NameFonct{Fonction cosinus}
@@ -119,7 +124,8 @@ Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors l
\tkzTabLine{ , + , }
\tkzTabVar{+/$1$ , -/$-1$ }
\tkzTabVal{1}{2}{0.5}{$\frac{\pi}{2}$}{$0$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Fonctions paramétrées et trigonométriques}
\NameFonct{Fonctions paramétrées} \NameFonct{Fonctions trigonométriques}
@@ -133,7 +139,7 @@ Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors l
\end{array}\right.
\end{equation*}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[ lgt=3 , espcl=3]%
{$t$ /1,
@@ -154,7 +160,7 @@ Un prolongement par continuité pourrait être : $f(x)=0$ sur $[-1~;~1]$ alors l
\end{tikzpicture}
\end{tkzexample}
-\newpage
+
\subsection{Baccalauréat Asie ES 1998}
\index{Baccalauréat}
Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la liste pour obtenir un zéro centré sur un trait en pointillés. Si on veut que le zéro soit sans le trait , il suffit de remplacer \tkzname{z} par \tkzname{0}. Celui-ci n'est pas un symbole reconnu, il est donc traiter comme une chaîne normale.
@@ -204,7 +210,7 @@ Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la lis
informations obtenues en 2.b)
\end{enumerate}
-\begin{tkzexample}[code only,very small]
+\begin{tkzexample}[code only,small]
Soit $f$ la fonction de variable réelle $x$, définie sur $\mathbf{R}$ par :
\[
f(x)=\E^x(\E^x+a)+b
@@ -252,9 +258,6 @@ Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la lis
\end{tkzexample}
-
-
-\vfill\newpage\null
\subsection{Baccalauréat}
\index{Baccalauréat}
On considère la fonction $f$ définie sur $]-\infty~;~0[$ :
@@ -292,7 +295,7 @@ Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la lis
\end{enumerate}
\end{enumerate}
-\begin{tkzexample}[very small,code only]
+\begin{tkzexample}[small,code only]
On considère la fonction $f$ définie sur $]-\infty~;~0[$ :
\[
@@ -331,9 +334,6 @@ Une petite astuce, en principe \tkzname{z} est le symbole à mettre dans la lis
-\newpage
-
-
\subsection{Baccalauréat Guyane ES 1998 }
\index{Baccalauréat}
C'est cet exemple qui m'a obligé à penser aux commandes du style $+V+$. Sans doute, voulait-on ne pas influencer les élèves avec la vision d'une double barre (trop souvent associée à la présence d'une asymptote).
@@ -393,7 +393,7 @@ f(x)=1 + \dfrac{4}{(x-1)} + \dfrac{3}{(x-1)^2}
}
-\begin{tkzexample}[code only,very small]
+\begin{tkzexample}[code only,small]
On considère une fonction $f$ de la variable $x$, dont on donne le tableau de variations :
\begin{center}
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-image.tex
index 16e0c4319d6..15cf2335e9f 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-image.tex
@@ -7,14 +7,14 @@ Ces macros permettent de placer une valeur sur une flèche de la ligne des varia
\begin{NewMacroBox}{tkzTabIma}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}}
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IargName{tkzTabIma}{Début} & |no default| & rang de l'origine de la flèche \\
-\IargName{tkzTabIma}{Fin} & |no default| & rang de l'extrémité de la flèche \\
-\IargName{tkzTabIma}{Position} & |no default| & rang de l'antécédent correspondant à l'image \\
+\toprule
+\IargName{tkzTabIma}{Début} & |no default|& rang de l'origine de la flèche \\
+\IargName{tkzTabIma}{Fin} & |no default|& rang de l'extrémité de la flèche \\
+\IargName{tkzTabIma}{Position} & |no default| & rang de l'antécédent correspondant à l'image \\
\IargName{tkzTabIma}{Image} & |no default| & valeur de l'image si nécessaire \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -22,12 +22,12 @@ Ces macros permettent de placer une valeur sur une flèche de la ligne des varia
\medskip
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IoptName{tkzTabIma}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
\IoptName{tkzTabIma}{remember}& |lastval|& définit un node personnalisé \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -38,21 +38,21 @@ Ces macros permettent de placer une valeur sur une flèche de la ligne des varia
Il y a plusieurs possibilités mais la suivante est préférable. L'antécédent est de rang $2$.
La fonction est monotone entre les valeurs de rang $1$ et $3$. Voici comment faire apparaître l'image par $f$ de $\sqrt\E$.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=6]%
{$x$/1,$f'(x)$/1, $f(x)$/2}{$0$,$\sqrt\E$,$+\infty$}%
\tkzTabLine{d,+,0,+,}%
\tkzTabVar{D- /$-\infty$ , R / ,+ / $0$ }%
\tkzTabIma{1}{3}{2}{-5}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\Iopt{tkzTabVal}{draw}
Une autre possibilité est d'utiliser la macro \tkzcname{tkzTabImaFrom} ainsi que les nodes créés pour construire le tableau ; voir la section \og personnalisation \fg\ (\ref{pers}) et la fin de ce chapitre.
-\newpage
\subsubsection{Exemple avec plusieurs lignes de variations}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=4]
@@ -81,11 +81,10 @@ Une autre possibilité est d'utiliser la macro \tkzcname{tkzTabImaFrom} ainsi qu
\end{tkzexample}
-\newpage
\subsubsection{Fonctions paramétrées}
\NameFonct{Fonctions paramétrées}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[ lgt=4, deltacl=1, espcl=2]%
{$t$ /1,
@@ -116,14 +115,14 @@ Cette macro ressemble à la précédente mais elle permet de placer une image re
\begin{NewMacroBox}{tkzTabImaFrom}{\oarg{local options}\{Début\}\{Fin\}\{From\}\{Image\}}
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IargName{tkzTabImaFrom}{Début} & |no default| & rang de l'origine de la flèche \\
\IargName{tkzTabImaFrom}{Fin} & |no default| & rang de l'extrémité de la flèche \\
\IargName{tkzTabImaFrom}{From} & |no default| & nom d'un point \\
\IargName{tkzTabImaFrom}{Image} & |no default| & valeur de l'image \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -131,12 +130,12 @@ Cette macro ressemble à la précédente mais elle permet de placer une image re
\medskip
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IoptName{tkzTabImaFrom}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
\IoptName{tkzTabImaFrom}{remember}& |lastval|& définit un node personnalisé \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -147,7 +146,7 @@ Cette macro ressemble à la précédente mais elle permet de placer une image re
\subsubsection{Utilisation d'un node défini par la macro \addbs{tkzTabInit}}
Il s'agit ici de \tkzname{N21}. C'est un node, plus exactement un point situé sous la seconde valeur $\sqrt\E$ et sur le premier filet horizontal sous cette valeur. Voir le chapitre \tkzname{personnalisation} et en particulier l'option \tkzname{help} qui permet d'afficher différents points de construction.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=6]%
{$x$/1,$f'(x)$/1, $f(x)$/3}{$0$,$\sqrt\E$,$+\infty$}%
@@ -157,12 +156,13 @@ Il s'agit ici de \tkzname{N21}. C'est un node, plus exactement un point situé s
\draw[opacity=0.4,fill=red!30] (N21) circle(3ex);
\draw[fill=red] (N21) circle(2pt);
\node[above right= 12pt,red](txt) at (N21) {$N21$};
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\Iopt{tkzTabImaFrom}{draw}
\subsubsection{Utilisation d'un point défini par l'utilisateur avec \texttt{\textcolor{red}{remember}}}
-\begin{tkzexample}[vbox, num,very small]
+\begin{tkzexample}[vbox, num,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=6]{ $x$/1, $f'(x)$/1, $f(x)$/3,/3 }%
{ $a$ , $d$ ,$e$}
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-init.tex
index a88ff816a16..634a4fe82e3 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-init.tex
@@ -1,3 +1,4 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 21 / 02 /2009 v1.00c TKZdoc-tab-init 18 h
\section{Initialisation d'un tableau : \addbs{tkzTabInit} }
\subsection{Définition}
@@ -6,12 +7,12 @@
{\oarg{local options}\var{e(1)/h(1),...,e(p)/h(p)}\var{a(1),...,a(n)}}
\begin{tabular}{lllc}
-\hline
-\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IargName{tkzTabInit}{liste1} & |no default| & \var{e(1)/h(1),...,e(p)/h(p)} \\
-\IargName{tkzTabInit}{liste2} & |no default| & \var{a(1),...,a(n)} \\
-\hline
+\toprule
+arguments & défaut & définition \\
+\midrule
+\TAline{liste1} {no default } {\var{e(1)/h(1),...,e(p)/h(p)} }
+\TAline{liste2} {no default } {\var{a(1),...,a(n)}}
+\bottomrule
\end{tabular}
\medskip
@@ -21,26 +22,26 @@
\item Liste 1 : \emph{les éléments de la première liste sont des paires \tkzname{e(i)/h(i)} où \tkzname{/} est un séparateur entre d'une part, une expression \tkzname{e(1)} et d'autre part, un nombre exprimé en \tkzname{centimètres}. \tkzname{h(i)} est pour tout $i$ un nombre décimal qui fait référence à la hauteur en \tkzname{cm} de la ligne qui contient l'expression \tkzname{e(i)}. Les nombres décimaux utilisent le point comme séparateur.}
-\item Liste 2 : \emph{On ne peut pas utiliser les symboles \og \tkzname{/} \fg\ et \og \tkzname{,} \fg\ dans \tkzname{e(i)} sauf si on les protège dans un groupe\protect\footnotemark. La protection de la virgule par une paire d'accolades |\{4,5\}| peut avantageusement être remplacée par une commande comme \tkzcname{numprint\{4,5\}} ou encore \tkzcname{np\{4,5\}}\protect\footnotemark.}
+\item Liste 2 : \emph{On ne peut pas utiliser les symboles \og \tkzname{/} \fg\ et \og \tkzname{,} \fg\ dans \tkzname{e(i)} sauf si on les protège dans un groupe\protect\footnotemark. La protection de la virgule par une paire d'accolades |\{4,5\}| peut avantageusement être remplacée par une commande comme \tkzcname{numprint\{4,5\}} ou encore \tkzcname{np\{4,5\}}\protect\footnotemark.}
\end{itemize}
-\NamePack{numprint}
+\NamePack{numprint}
+
\medskip
\begin{tabular}{lllc}
-\hline
-\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IoptName{tkzTabInit}{espcl} & |2 cm| & espacement entre deux valeurs \\
-\IoptName{tkzTabInit}{lgt} & |2 cm| & largeur de la première colonne \\
-\IoptName{tkzTabInit}{deltacl} & |0.5 cm|& marge avant le premier antécédent et après le dernier \\
-\IoptName{tkzTabInit}{lw} &|0.4 pt| & épaisseur des lignes du tableau \\
-\IoptName{tkzTabInit}{nocadre} & |false| & par défaut, on encadre le tableau \\
-\IoptName{tkzTabInit}{color} & |false| & booléen autorise la couleur\protect\footnotemark \\
-\IoptName{tkzTabInit}{colorC} & |white| & couleur de la première colonne \\
-\IoptName{tkzTabInit}{colorL} & |white| & couleur de la première ligne \\
-\IoptName{tkzTabInit}{colorT} & |white| & couleur de la partie centrale \\
-\IoptName{tkzTabInit}{colorV} & |white| & couleur de la case de la variable \\
-\IoptName{tkzTabInit}{help} & |false| & affiche les noms des points de construction \\
-\hline
+\toprule
+options & défaut & définition \\
+\midrule
+\TOline{espcl} {2 cm}{espacement entre deux valeurs }
+\TOline{lgt} { 2 cm}{largeur de la première colonne }
+\TOline{deltacl}{0.5 cm}{marge avant le premier et le dernier antécédent}
+\TOline{lw} {0.4 pt}{épaisseur des lignes du tableau }
+\TOline{nocadre}{false}{par défaut, on encadre le tableau }
+\TOline{color} {false}{booléen autorise la couleur\protect\footnotemark}
+\TOline{colorC} {white}{couleur de la première colonne }
+\TOline{colorL} {white}{couleur de la première ligne }
+\TOline{colorT} {white}{couleur de la partie centrale }
+\TOline{colorV} {white}{couleur de la case de la variable }
+\TOline{help} {false}{affiche les noms des points de construction} \bottomrule
\end{tabular}
\medskip
@@ -58,53 +59,55 @@ Exemple : \begin{tkzexample}[code only]\tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$
\medskip
\begin{center}
- \tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$0$ , $+\infty$};
+ \tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$0$ , $+\infty$};
\end{center}
\subsubsection{Ajout de lignes et de colonnes}
La première liste permet d'obtenir trois lignes qui ont pour hauteur $1$ cm. La seconde liste comporte trois antécédents qui déterminent deux intervalles (zones). Il sera possible de placer des filets verticaux sous ces antécédents.
-\begin{tkzexample}[width=10cm,very small]
+\begin{tkzexample}[width=10cm,small]
\begin{tikzpicture}
\tkzTabInit
{$x$ /1,
$f(x)$ /1,
$g(x)$ /1}
{$0$,$\E$,$+\infty$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
Il est à noter l'utilisation de la macro \tkzcname{E} \footnote{\tkzcname{E} est définie ainsi \BS newcommand*\{\BS E\}\{\BS ensuremath\{\BS mathrm\{e\}\}\}.}
\subsubsection{Tableau minimum}
\index{Tableau minimum}
Le premier argument est \tkzname{ /1}, c'est l'argument minimum. L'argument est une liste avec comme séparateur le symbole \tkzname{/}. Celui-ci est précédé d'un blanc ou d'un vide. La première case de la ligne sera vide. Le \tkzname{$1$} signifie \tkzname{$1$ cm} car une dimension en cm est obligatoire pour donner la hauteur de la ligne. Le deuxième argument est constitué de deux éléments vides ou bien de deux blancs séparés par une virgule. Cet argument doit contenir au minimum deux éléments. Ces deux éléments sont les bornes d'un intervalle.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit{ / 1}
{ , }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Utilisation des options}
Tout d'abord on peut modifier certaines dimensions concernant les colonnes. Voyons les valeurs par défaut.
\begin{center}
- \begin{tikzpicture}
- \tkzTabInit
- {$x$ / 1}
- {$a_1$ , $a_2$ , $a_3$}
- \begin{scope}[arstyle/.style={>=latex,#1,<->}]
- \draw[arstyle=blue] (N10) to node[above,color=blue]%
- {\scriptsize $ espcl = 2$ cm} (N20);
- \draw[arstyle=blue] (N20) to node[above,color=blue]%
- {\scriptsize $ espcl = 2$ cm} (N30);
- \draw[arstyle=red] (T10) to node[above=12pt,color=red]%
- {\scriptsize $ deltacl = 0,5$ cm} (N10);
- \draw[arstyle=red] (N30) to node[above=12pt,color=red]%
- {\scriptsize $ deltacl = 0,5$ cm} (T20);
- \draw[arstyle=blue] (T00) to node[above,color=blue]%
- {\scriptsize $ lgt = 2$ cm} (T10);
- \end{scope}
- \end{tikzpicture}
+ \begin{tikzpicture}
+ \tkzTabInit
+ {$x$ / 1}
+ {$a_1$ , $a_2$ , $a_3$}
+ \begin{scope}[arstyle/.style={>=latex,#1,<->}]
+ \draw[arstyle=blue] (N10) to node[above,color=blue]%
+ {\scriptsize $ espcl = 2$ cm} (N20);
+ \draw[arstyle=blue] (N20) to node[above,color=blue]%
+ {\scriptsize $ espcl = 2$ cm} (N30);
+ \draw[arstyle=red] (T10) to node[above=12pt,color=red]%
+ {\scriptsize $ deltacl = 0,5$ cm} (N10);
+ \draw[arstyle=red] (N30) to node[above=12pt,color=red]%
+ {\scriptsize $ deltacl = 0,5$ cm} (T20);
+ \draw[arstyle=blue] (T00) to node[above,color=blue]%
+ {\scriptsize $ lgt = 2$ cm} (T10);
+ \end{scope}
+ \end{tikzpicture}
\end{center}
@@ -112,48 +115,53 @@ Tout d'abord on peut modifier certaines dimensions concernant les colonnes. Voyo
Par défaut la largeur de cette première colonne est de $2$ cm. L'unité est toujours le \tkzname{cm}.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3]{ $x$ / 1}
{ $1$ , $3$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{espcl}} : modification de l'espacement entre deux valeurs}\Iopt{tkzTabInit}{espcl}
-\begin{tkzexample}[width=9cm,very small]
+\begin{tkzexample}[width=9cm,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=4]%
{ $x$ / 1}
{ $1$ , $4$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{deltacl}} : modification des espacements aux extrémités}\Iopt{tkzTabInit}{deltacl}
-\begin{tkzexample}[width=9cm,very small]
+\begin{tkzexample}[width=9cm,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,deltacl=1]%
{ $x$ / 1}
{ $1$ , $4$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{lw}} : épaisseur des lignes du tableau}
\Iopt{tkzTabInit}{lw}
Ce n'est pas recommandé. Il est préférable que tous les traits d'un document aient la même épaisseur qui par défaut est de $\np{0,4}$ pt.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[lw=2pt]{ / 1}
{ , }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{nocadre}} : suppression du cadre externe}
\Iopt{tkzTabInit}{nocadre}
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[nocadre]{ / 1, /1, /1}
{ , }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{color}} : utilisation de la couleur dans un tableau}
\Iopt{tkzTabInit}{color}\NamePack{amsmath}
@@ -161,7 +169,7 @@ Ce n'est pas recommandé. Il est préférable que tous les traits d'un document
\tkzname{tkzTabInit\{[color]\}} signifie que le booléen color est à vrai.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[color,
colorT = yellow!20,
@@ -169,7 +177,8 @@ Ce n'est pas recommandé. Il est préférable que tous les traits d'un document
colorL = green!20,
colorV = lightgray!20]
{ /1 , /1}{ , }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\begin{tkzexample}[width=8cm]
\begin{tikzpicture}
@@ -182,7 +191,8 @@ Ce n'est pas recommandé. Il est préférable que tous les traits d'un document
espcl = 2.5]%
{$t$/1,$a$/1,$b$/1,$c$/1,$d$/1}%
{$\alpha$,$\beta$,$\gamma$}%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{help}} : Affiche la structure du tableau}
\Iopt{tkzTabInit}{help}
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-install.tex
index 07abe4ca049..d45add9bbba 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-install.tex
@@ -1,7 +1,9 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 20 / 02 /2009 v1.00c TKZdoc-tab-install
-\section{Installation}\label{ins}
+\section{Installation}
Il est possible que lorsque vous lirez ce document, \tkzname{tkz-tab} soit présent sur le serveur du \tkzname{CTAN}\footnote{\tkzname{tkz-tab} ne fait pas encore partie de \tkzname{TeXLive} mais il sera bientôt possible de l'installer avec \emph{tlmgr}}. Si \tkzname{tkz-tab} ne fait pas encore partie de votre distribution, ce chapitre vous montre comment l'installer.
-\subsection{Avec TeXLive sous OS X et Linux}\NameDist{TeXLive}
+
+\subsection{Avec TeXLive sous OS X, Linux et Windows}\NameDist{TeXLive}
Créer un dossier \tikz[remember picture,baseline=(n1.base)]\node [fill=green!50,draw] (n1) {prof}; avec comme chemin : \colorbox{blue!50}{ texmf/tex/latex/prof}.
\colorbox{blue!50}{texmf} est un dossier personnel, voici les chemins de ce dossier sur mes deux ordinateurs:
@@ -11,7 +13,9 @@ Créer un dossier \tikz[remember picture,baseline=(n1.base)]\node [fill=green!50
\item sous OS X\NameSys{OS X} \colorbox{blue!30}{\textbf{/Users/ego/Library/texmf}};
-\item sous Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!30}{\textbf{/home/ego/texmf}}.
+\item sous Ubuntu\NameSys{Linux Ubuntu} \colorbox{blue!30}{\textbf{/home/ego/texmf}};
+
+\item sous Windows je ne connais pas cette distribution sous ce système mais je suppose que l'installation doit ressembler à ce qui se passe sous Linux et OS X.
\end{itemize}
\medskip
@@ -87,7 +91,7 @@ Mon dossier texmf est structuré ainsi : \emph{Attention, la présence dans mon
Je ne connais pas grand-chose à ce système mais un utilisateur de mes packages \textbf{Wolfgang Buechel} a eu la gentillesse de me faire parvenir ce qui suit~:
-Pour ajouter \tkzname{tkz-tab.sty} à MiKTeX\footnote{Essai réalisé avec la verion \tkzname{2.7}}:
+Pour ajouter \tkzname{tkz-tab.sty} à MiKTeX\footnote{Essai réalisé avec la version \tkzname{2.7}}:
\begin{itemize}\setlength{\itemsep}{10pt}
\item ajouter un dossier \tkzname{prof} dans le dossier
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-main.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-main.tex
new file mode 100644
index 00000000000..e9ffc3a560a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-main.tex
@@ -0,0 +1,161 @@
+
+% 25 / 02 /2009 v1.0c TKZdoc-tab-main 11h
+% $Id: TKZdoc-tab-main.tex alain matthes $
+% encoding : utf8
+% linknodesdoc.tex
+% Created by Alain Matthes on 2008-01-19.
+% Copyright (C) 2009 Alain Matthes
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License , either version 1.3
+% of this license or (at your option) any later version and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.%
+% See http://www.latex-project.org/lppl.txt for details.
+%
+%
+% ``TKZdoc-tab-main '' is the french doc of tkz-tab
+%
+%
+\documentclass[DIV=14,fontsize=10,headinclude=false,index=totoc,footinclude=false,headings=small]{tkz-doc}
+
+\usepackage{tkz-tab}
+\usetikzlibrary[petri]
+\usepackage[frenchb]{babel}
+\usepackage[np,autolanguage]{numprint}
+
+\usepackage[pdftex,unicode,
+ colorlinks=true,
+ pdfpagelabels,
+ urlcolor=blue,
+ filecolor=pdffilecolor,
+ linkcolor=blue,
+ breaklinks =false,
+ hyperfootnotes=false,
+ bookmarks=false,
+ bookmarksopen=false,
+ linktocpage=true,
+ pdfsubject={qcm},
+ pdfauthor={Alain Matthes},
+ pdftitle={alterqcm},
+ pdfkeywords={qcm, mathematics, table},
+ pdfcreator={LaTeX}
+ ]{hyperref}
+\usepackage{url}
+\def\UrlFont{\small\ttfamily}
+\usepackage[protrusion = true,
+ expansion,
+ final,
+ verbose = false,
+ babel = true]{microtype}
+
+
+\DisableLigatures{encoding = T1, family = tt*}
+\usepackage[parfill]{parskip}
+
+
+
+\gdef\urlauthorcom{http://altermundus.com}
+
+\gdef\nameofpack{Tkz-Tab}
+\gdef\versionofpack{1.1c}
+\gdef\dateofpack{2010/02/24}
+\gdef\nameofdoc{doc-tkz-tab}
+\gdef\dateofdoc{2010/02/24}
+\gdef\authorofpack{Alain Matthes}
+\gdef\adressofauthor{}
+\gdef\namecollection{AlterMundus}
+\gdef\urlauthor{http://altermundus.fr}
+\gdef\urlauthor{http://altermundus.com}
+
+\usepackage{shortvrb}
+\makeatletter
+\renewcommand*\l@subsubsection{\bprot@dottedtocline{3}{3.8em}{4em}}
+\makeatother
+\AtBeginDocument{\MakeShortVerb{\|}}
+
+\pdfcompresslevel=9
+\pdfinfo{
+ /Title (doc-tkz-tab.pdf)
+ /Creator (TeX)
+ /Producer (pdfeTeX)
+ /Author (Alain Matthes)
+ /CreationDate (13 mars 2009)
+ /Subject (Documentation du package tkz-tab v 1.1c)
+ /Keywords (pdfeTeX, tab, variations, function, sign, maths, pdflatex) }
+
+\colorlet{graphicbackground}{white}
+\colorlet{codebackground}{Peach!20}
+\newcommand*{\E}{\ensuremath{\mathrm{e}}}
+\usepackage{tkzexample}
+%<--------------------------------------------------------------------------->
+\begin{document}
+
+
+\title{\nameofpack}
+\date{\today}
+\clearpage
+\thispagestyle{empty}
+\maketitle
+\clearpage
+
+\definecolor{fondpaille}{cmyk}{0,0,0.1,0}
+\colorlet{graphicbackground}{fondpaille}
+\colorlet{codebackground}{brown!15}
+\colorlet{codeonlybackground}{brown!15}
+\colorlet{textcodecolor}{Maroon}
+\pagecolor{fondpaille}
+\color{Maroon}
+\tkzTabColors[backgroundcolor=fondpaille,color=Maroon]
+
+\nameoffile{\nameofpack}
+\defoffile{\textbf{tkz-tab.sty} est un package pour créer à l'aide de \TIKZ des tableaux de signes et de variations le plus simplement possible. Il est dépendant de \TIKZ et fera partie d'une série de packages ayant comme point commun, la création de dessins utiles dans l'enseignement des mathématiques. La lecture de cette documentation va, je l'espère vous permettre d'apprécier la simplicité d'utilisation de \TIKZ et vous permettre de commencer à le pratiquer.}
+
+\presentation
+
+\vfill
+\lefthand\ Je remercie \tkzimp{Till Tantau} pour nous permettre d'utiliser \tkzname{\TIKZ}.
+
+\lefthand\ Je remercie \tkzimp{Michel Bovani} pour nous permettre d'utiliser \tkzname{fourier} et \tkzname{utopia} avec \LaTeX.
+
+\lefthand\ Je remercie \tkzimp{Henri-Claude Dufresne } pour sa lecture approfondie de la documentation et ses propositions de correction.
+
+henri-claude Dufresne
+\lefthand\ Je remercie également \tkzimp{Jean-Côme Charpentier}, \tkzimp{Manuel Pégourié-Gonnard}, \tkzimp{Franck Pastor}, \tkzimp{Ulrike Fischer} et \tkzimp{Josselin Noirel} pour les différentes idées et conseils qui m'ont permis de faire ce package, ainsi que \tkzimp{Herbert Vo\ss } pour son document \tkzname{mathmode.pdf}.
+
+
+
+\clearpage
+\tableofcontents
+%<--------------------------------------------------------------------------->
+\newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}}
+\newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}}
+\newcommand*{\vbo}{\colorbox{blue!50} {$\scriptscriptstyle V_{b1}$}}
+\newcommand*{\vbt}{\colorbox{yellow!50}{$\scriptscriptstyle V_{b2}$}}
+\newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}}
+\newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}}
+\newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}}
+%<--------------------------------------------------------------------------->
+\tkzTabColors[backgroundcolor=fondpaille,color=Maroon]
+
+\include{TKZdoc-tab-install}
+\include{TKZdoc-tab-init}
+\include{TKZdoc-tab-sign}
+\include{TKZdoc-tab-variation}
+\include{TKZdoc-tab-tv}
+\include{TKZdoc-tab-valeurs}
+\include{TKZdoc-tab-image}
+\include{TKZdoc-tab-tangente}
+\include{TKZdoc-tab-slope}
+\include{TKZdoc-tab-style}
+\include{TKZdoc-tab-adapt}
+\include{TKZdoc-tab-examples}
+%<-------------------------------------------------------------------------->
+\printindex
+\end{document}
+%<------------------------------------------------------------------------->
+
+
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-sign.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-sign.tex
index b8ad3f23dde..3d898779df7 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-sign.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-sign.tex
@@ -1,31 +1,34 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 22 / 02 /2009 v1.0c TKZdoc-tab-sign 10h
-\section{Création d'une ligne de signes : \addbs{tkzTabLine}}
+\section{Création d'une ligne de signes : \tkzcname{tkzTabLine}}
\subsection{Définition}
\begin{NewMacroBox}{tkzTabLine}{\oarg{local options}\var{s(1),...,s(2n-1)}}
$n$ est le nombre d'éléments du second argument de \tkzname{tkzTabInit}.
\medskip
-\begin{tabular}{ll}
-\hline
-symbole de rang impair & définition \\
-\hline
-\IargName{tkzTabLine}{z} & place un trait en pointillés et un zéro centré \\
-\IargName{tkzTabLine}{t} & place un trait en pointillés centré \\
-\IargName{tkzTabLine}{d} & place une double barre centrée \\
-\tkzname{\textvisiblespace}& tout comme l'absence de symbole, aucune action \\
+\begin{tabular}{lll}
+\toprule
+symbole de rang impair & & définition \\
+\midrule
+\TAline{z} {} {place un trait en pointillés et un zéro centré}
+\TAline{t} {} {place un trait en pointillés centré}
+\TAline{d} {} {place une double barre centrée}
+\TAline{\BS textvisiblespace}{} {aucune action }
+\bottomrule
\end{tabular}
\medskip
-\begin{tabular}{ll}
-\hline
-symbole de rang pair & définition \\
-\hline
-\IargName{tkzTabLine}{h} & zone interdite \\
-\IargName{tkzTabLine}{+} & le signe $+$ \\
-\IargName{tkzTabLine}{-} & le signe $-$ \\
-\tkzname{\textvisiblespace}& tout comme l'absence de symbole, aucune action \\
-\hline
+\begin{tabular}{lll}
+\toprule
+symbole de rang pair & & définition \\
+\midrule
+\TAline{h} {} {zone interdite}
+\TAline{+} {} {le signe $+$}
+\TAline{-} {} {le signe $-$}
+\TAline{\BS textvisiblespace}{} {aucune action }
+\bottomrule
+
\end{tabular}
@@ -39,11 +42,12 @@ Les différents symboles "reconnus" sont donnés dans le tableau ci-dessus, mai
\medskip
\begin{tabular}{lllc}
-\hline
-\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IoptName{tkzTabLine}{style} & |dotted|& style des traits verticaux \\
-\IoptName{tkzTabLine}{help} & no default & affiche la structure d'une ligne de signes \\
+\toprule
+options & défaut & définition \\
+\midrule
+\TOline{style} {dotted } {style des traits verticaux }
+\TOline{help} {no default} {affiche la structure d'une ligne de signes}
+\bottomrule
\end{tabular}
\medskip
@@ -53,12 +57,12 @@ Les différents symboles "reconnus" sont donnés dans le tableau ci-dessus, mai
\subsection{Nombre d'arguments utilisés.}
La syntaxe générale est :
-\begin{center}
-\begin{tkzexample}[code only]
+\begin{tkzltxexample}[]
\tkzTabInit{ e(1),...,e(i),...,e(p)} % tableau à p lignes.
{ a(1),...,a(i),...,a(n)} % n antécédents
- \tkzTabLine{ s(1),...,s(i),...,s(2n-1)}\end{tkzexample}
-\end{center}
+ \tkzTabLine{ s(1),...,s(i),...,s(2n-1)}
+\end{tkzltxexample}
+
\medskip
Si on utilise \tkzname{$n$} antécédents pour la première ligne alors il y aura \tkzname{$n$} symboles de rang impair et \tkzname{$n-1$} symboles de rang pair, soit \tkzname{$2n-1$} symboles.
@@ -68,24 +72,25 @@ Si on utilise \tkzname{$n$} antécédents pour la première ligne alors il y aur
Voyons une illustration simple : trois antécédents $a_1$, $a_2$, et $a_3$ permettront de mettre $2\times3 -1 =5$ symboles. Les $3$ valeurs de la première ligne impliquent pour l'argument de \tkzcname{tkzTabLine} de posséder {$2\times 3-1=5$} éléments c'est-à-dire être une liste comportant $3$ symboles de rang impair et $2$ symboles de rang pair, soit un total de $5$ symboles qui seront séparés par $4$ virgules.
\begin{center}
- \begin{tikzpicture}
- \tkzTabInit[espcl=3,lgt=2]%
- {\colorbox{red!40}{\textcolor{white}{$x$}} / 1,%
- \colorbox{red!40}{\textcolor{white}{$f(x)$}} / 1}%
- {\colorbox{blue!40}{\textcolor{white}{ $a_1$}},%
- \colorbox{blue!40}{\textcolor{white}{ $a_2$}},%
- \colorbox{blue!40}{\textcolor{white}{ $a_3$}}}%
- \path (N11)--(N12) node[circle,draw, fill= lightgray,midway] {1};
- \path (N12)--(N21) node[midway] {$,$};
- \path (N21)--(N22) node[circle, draw, fill= lightgray,midway] {3};
- \path (N31)--(N32) node[circle,draw, fill= lightgray,midway] {5};
- \path (M11)--(M12) node[circle, draw, fill= orange!30,midway] {2};
- \path (M21)--(M22) node[circle,draw, fill= orange!30,midway] {4};
- \end{tikzpicture}
+ \begin{tikzpicture}
+ \tkzTabInit[espcl=3,lgt=2]%
+ {\colorbox{red!40}{\textcolor{white}{$x$}} / 1,%
+ \colorbox{red!40}{\textcolor{white}{$f(x)$}} / 1}%
+ {\colorbox{blue!40}{\textcolor{white}{ $a_1$}},%
+ \colorbox{blue!40}{\textcolor{white}{ $a_2$}},%
+ \colorbox{blue!40}{\textcolor{white}{ $a_3$}}}%
+ \path (N11)--(N12) node[circle,draw, fill= lightgray,midway] {1};
+ \path (N12)--(N21) node[midway] {$,$};
+ \path (N21)--(N22) node[circle, draw, fill= lightgray,midway] {3};
+ \path (N31)--(N32) node[circle,draw, fill= lightgray,midway] {5};
+ \path (M11)--(M12) node[circle, draw, fill= orange!30,midway] {2};
+ \path (M21)--(M22) node[circle,draw, fill= orange!30,midway] {4};
+ \end{tikzpicture}
\end{center}
Pour obtenir cette ligne, il faut entrer
-\begin{tkzexample}[code only]\tkzTabLine{ $1$ , $2$ , $3$ , $4$ , $5$}\end{tkzexample}
+\begin{tkzexample}[code only]\tkzTabLine{ $1$ , $2$ , $3$ , $4$ , $5$}
+\end{tkzexample}
@@ -97,54 +102,59 @@ La deuxième ligne est vide mais l'argument \tkzcname{tkzTabLine} doit comporter
\begin{tkzexample}[code only]
\tkzTabLine{,,,,} ou \tkzTabLine{ , , , , }\end{tkzexample}
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[espcl=1.5]
{$x$ / 1 ,$f(x)$ /1 }%
{$v_1$ , $v_2$ , $v_3$ }%
\tkzTabLine{ , , , , }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{t}} : ajout d'un trait}
Cette option place un simple trait verticalement.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[espcl=1.5]
{$x$ / 1 ,$f(x)$ /1 }%
{$v_1$ , $v_2$ , $v_3$ }%
\tkzTabLine{ t, , t , ,t }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{z}} : ajout d'un zéro sur un trait vertical}
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm,small]
\begin{tikzpicture}
\tkzTabInit[espcl=1.5]
{$x$ / 1 ,$f(x)$ /1 }%
{$v_1$ , $v_2$ , $v_3$ }%
\tkzTabLine{ z, , z , ,z }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{d}} : double barre}
On peut aussi avoir le cas d'une fonction non définie en $0$ et en $2$ mais s'annulant en $1$. On place à chaque extrémité le symbole |d|.
-\begin{tkzexample}[width=7cm,very small]
+\begin{tkzexample}[width=7cm,small]
\begin{tikzpicture}
\tkzTabInit[espcl=1.5]%
{$x$ / 1,$g(x)$ / 1}%
{$0$,$1$,$2$}%
\tkzTabLine{d,+,0,-,d}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
On peut aussi avoir le cas d'une fonction admettant une dérivée à droite différente de la dérivée à gauche
-\begin{tkzexample}[width=7cm,very small]
+\begin{tkzexample}[width=7cm,small]
\begin{tikzpicture}
\tkzTabInit[lgt=1.5,espcl=1.75]%
{$x$ / 1,$f'(x)$ / 1}%
{$-\infty$,$0$,$+\infty$}%
\tkzTabLine{,+,d,-,}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Utilisation des symboles de rang pair}
@@ -155,60 +165,65 @@ Le dernier exemple montre comment détourner l'usage principal.
Une fonction peut ne pas être définie sur un intervalle, ici $[1~;~2]$. La partie du tableau qui correspond à cet intervalle sera hachurée ou bien colorée (par défaut, la zone est grisée). Des options permettant de personnaliser seront offertes. Pour l'exemple suivant, il suffit de placer |h| entre les deux |d| qui correspondent aux valeurs interdites\index{valeurs interdites} $1$ et $2$.
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm, small]
\begin{tikzpicture}
\tkzTabInit[color,espcl=1.5]
{$x$ / 1,$g(x)$ / 1}
{$0$,$1$,$2$,$3$}%
\tkzTabLine{z, + , d , h , d , - , t}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Utilisation des options}
-\subsubsection{\texttt{\textcolor{red}{t style}} : modification du style des traits verticaux}
+\subsubsection{\tkzname{t style} : modification du style des traits verticaux}
\Istyle{tkzTabLine}{t style}
- \tikzset{t style/.style = {style = dashed}}
-\begin{tkzexample}[width=8cm,very small]
-\begin{tikzpicture}
+
+\begin{tkzexample}[width=8cm, small]
+\begin{tikzpicture}
+\tikzset{t style/.style = {style = dashed}}
\tkzTabInit[espcl=1.5]
{$x$ / 1 ,$f(x)$ /1 }%
{$v_1$ , $v_2$ , $v_3$ }%
\tkzTabLine{ t, , t , ,t }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
+
- \tikzset{t style/.style = {style = densely dashed}}
-\begin{tkzexample}[width=8cm,very small]
+\begin{tkzexample}[width=8cm, small]
+ \tikzset{t style/.style = {style = densely dashed}}
\begin{tikzpicture}
\tkzTabInit[espcl=1.5]
{$x$ / 1 ,$f(x)$ /1 }%
{$v_1$ , $v_2$ , $v_3$ }%
\tkzTabLine{ z, , z , ,z }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
-\subsubsection{\texttt{\textcolor{red}{help}} : Affiche la structure du tableau}
+\subsubsection{\tkzname{help} : Affiche la structure du tableau}
\Iopt{tkzTabLine}{help}
Voir la section \og personnalisation \fg\ (\ref{pers}).
\subsection{Utilisation des styles}
-\subsubsection{\texttt{\textcolor{red}{h style}} : modification de la couleur d'une zone interdite}
+\subsubsection{\tkzname{h style} : modification de la couleur d'une zone interdite}
\Istyle{tkzTabLine}{h style} \index{zone interdite}
Si vous préférez hachurer une zone du tableau, alors il faut modifier un style.
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
- \tikzset{h style/.style = {fill=red!50}}
- \tkzTabInit[color,espcl=1.5]%
- {$x$ / 1,$g(x)$ / 1}%
- {$0$,$1$,$2$,$3$}%
- \tkzTabLine{z,+,d,h,d,-,t}
+ \tikzset{h style/.style = {fill=red!50}}
+ \tkzTabInit[color,espcl=1.5]%
+ {$x$ / 1,$g(x)$ / 1}%
+ {$0$,$1$,$2$,$3$}%
+ \tkzTabLine{z,+,d,h,d,-,t}
\end{tikzpicture}
\end{tkzexample}
Cette fois la zone est hachurée.
\index{hachures}
-\begin{tkzexample}[very small]
+\begin{tkzexample}[small]
\begin{tikzpicture}
\tikzset{h style/.style =
{pattern=north west lines}}
@@ -225,37 +240,39 @@ Cette fois la zone est hachurée.
\subsubsection{Simplification d'une expression comportant une valeur absolue }
-\begin{tkzexample}[width=7cm,very small]
+\begin{tkzexample}[width=7cm,small]
\begin{tikzpicture}
\tkzTabInit[lgt=2,espcl=1.75]%
{$x$/1,$2-x$/1, $\vert 2-x \vert $/1}%
{$-\infty$,$2$,$+\infty$}%
\tkzTabLine{ , + , z , - , }
\tkzTabLine{ , 2-x ,z, x-2, }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Tableau de signes}
-\begin{tkzexample}[,very small]
+\begin{tkzexample}[ small]
\begin{tikzpicture}
- \tkzTabInit[lgt=3,espcl=1.5]%
- {$x$ /1,
- $x^2-3x+2$ /1,
- $(x-\E)\ln x$ /1,
- $\dfrac{x^2-3x+2}{(x-\E)\ln x}$ /2}
- {$0$ , $1$ , $2$ , $\E$ ,$+\infty$}
- \tkzTabLine{ t,+,z,-,z,+,t,+,}
- \tkzTabLine{ d,+,z,-,t,-,z,+,}
- \tkzTabLine{ d,+,d,+,z,-,d,+,}
-\end{tikzpicture}\end{tkzexample}
-
-
+ \tkzTabInit[lgt=3,espcl=1.5]%
+ {$x$ /1,
+ $x^2-3x+2$ /1,
+ $(x-\E)\ln x$ /1,
+ $\dfrac{x^2-3x+2}{(x-\E)\ln x}$ /2}
+ {$0$ , $1$ , $2$ , $\E$ ,$+\infty$}
+ \tkzTabLine{ t,+,z,-,z,+,t,+,}
+ \tkzTabLine{ d,+,z,-,t,-,z,+,}
+ \tkzTabLine{ d,+,d,+,z,-,d,+,}
+\end{tikzpicture}
+\end{tkzexample}
+
+
\subsubsection{Signe d'une expression du second degré}
Si $\Delta \geq 0$ on peut écrire $\displaystyle ax^2+bx+c=a\left(x-\dfrac{-b-\sqrt{b^2-4ac}}{2a}\right)\left(x-\dfrac{-b+\sqrt{b^2-4ac}}{2a}\right)$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[color,lgt=5,espcl=3]%
{$x$ / .8,$\Delta>0$\\ Le signe de\\ $ax^2+bx+c$ /1.5}%
@@ -263,30 +280,33 @@ Si $\Delta \geq 0$ on peut écrire $\displaystyle ax^2+bx+c=a\left(x-\dfrac{-b
\tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, z
, \genfrac{}{}{0pt}{0}{\text{signe}}{\text{opposé de}\ a}, z
, \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, }
- \end{tikzpicture}\end{tkzexample}
+ \end{tikzpicture}
+\end{tkzexample}
Il faut noter l'emploi de la macro \tkzcname{genfrac}\footnote{\tkzcname{genfrac} est une macro du package \tkzname{amsmath}}.
\medskip
Si $\Delta = 0$ alors on peut écrire $\displaystyle ax^2+bx+c=a\left(x+\dfrac{b}{2a}\right)^2$
-\begin{tkzexample}[vbox,width=7cm,very small]
+\begin{tkzexample}[vbox,width=7cm,small]
\begin{tikzpicture}
\tkzTabInit[color,lgt=5,espcl=3]%
{$x$ / 1 , $\Delta=0$\\ Le signe de\\ $ax^2+bx+c$ / 2}%
{$-\infty$,$\dfrac{-b}{2a}$,$+\infty$}%
\tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{ a} , z
, \genfrac{}{}{0pt}{0}{\text{signe de}}{a}, }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
Si $\Delta < 0$ alors $\displaystyle ax^2+bx+c=a\left[\left(x+\dfrac{b}{2a}\right)^2 -\dfrac{b^2-4ac}{4a^2}\right]$
-\begin{tkzexample}[vbox,width=7cm,very small]
+\begin{tkzexample}[vbox,width=7cm,small]
\begin{tikzpicture}
\tkzTabInit[color,lgt=5,espcl=5]%
{$x$/.8,$\Delta<0$\\ Le signe de\\ $ax^2+bx+c$/2}%
{$-\infty$,$+\infty$}%
\tkzTabLine{ , \genfrac{}{}{0pt}{0}{\text{signe de}}{ a}, }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-slope.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-slope.tex
index e2b44ff1fa3..07eba64a959 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-slope.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-slope.tex
@@ -1,14 +1,15 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 20 / 02 /2009 v1.00c TKZdoc-tab-slope
\section{Nombres dérivés : \addbs{tkzTabSlope}}
\begin{NewMacroBox}{tkzTabSlope}{\{Liste\}}
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IargName{tkzTabSlope}{Liste} & |no default| & $i$/eg($i$)/ed($i$) \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -20,7 +21,7 @@ Cette macro permet de personnaliser les signes d'une fonction dérivée en indiq
\Iaccent{nombres deriv}{nombres dérivés}
Étude de la fonction $f~:~ x \longmapsto \sqrt {x(x-1)^2}$ sur $[0~;~4]$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3]%
{$x$/1,%
@@ -34,6 +35,7 @@ Cette macro permet de personnaliser les signes d'une fonction dérivée en indiq
+ / $\dfrac{2\sqrt3}{9}$ ,
- / $0$ ,
+ / $6$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-style.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-style.tex
new file mode 100644
index 00000000000..4364f117010
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-style.tex
@@ -0,0 +1,292 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
+
+% $Id$
+% TKZdoc-tab-style
+% v 1.0c
+% Created by Alain Matthes on 2010-02-23.
+% Copyright (c) 2010 __Collège Sévigné__. All rights reserved.
+%
+\section{Utilisation des styles}
+\subsection{Définition de \tkzcname{tkzTabSetup}}
+
+Le plus simple est d'utiliser la macro \tkzcname{tkzTabSetup}. Celle-ci permet de modifier les styles principaux.
+
+\begin{NewMacroBox}{tkzTabSetup}{\oarg{local options}}
+
+\begin{tabular}{llc}
+\toprule
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\midrule
+\IargName{tkzTabSetup}{doubledistance} & |1pt| & écart double barre \\
+\IargName{tkzTabSetup}{doublecolor} & |white| & couleur centrale dans la double barre \\
+\IargName{tkzTabSetup}{lw} & |0.4pt| & épaisseur d'un trait \\
+\IargName{tkzTabSetup}{color} & |black| & couleur d'un trait \\
+\midrule
+\IargName{tkzTabSetup}{tstyle} & |dotted| & style des traits verticaux \\
+\IargName{tkzTabSetup}{tcolor } & |black| & couleur des traits verticaux \\
+\IargName{tkzTabSetup}{tanarrowstyle}&|latex'|&style d'une flèche pour une tangente \\
+\IargName{tkzTabSetup}{tanstyle}& |->| & style d'une tangente \\
+\IargName{tkzTabSetup}{tancolor}& |black| & couleur d'une tangente \\
+\IargName{tkzTabSetup}{tanwidth}& |0.4pt|& épaisseur d'une tangente \\
+\IargName{tkzTabSetup}{fromarrowstyle}&|latex'|&style d'une flèche antécédent -> image \\
+\IargName{tkzTabSetup}{fromstyle }& |->| & style antécédent -> image \\
+\IargName{tkzTabSetup}{fromcolor }& |black| & couleur antécédent -> image \\
+\IargName{tkzTabSetup}{fromwidth }& |0.4pt| & épaisseur antécédent -> image \\
+\IargName{tkzTabSetup}{hcolor } & |gray| & couleur d'une zone interdite \\
+\IargName{tkzTabSetup}{hopacity } & |0.4| & transparence de la couleur d'une zone interdite \\
+\IargName{tkzTabSetup}{crosslines}& |false| & booléen true hachure la zone interdite \\
+\IargName{tkzTabSetup}{arrowcolor}& |black| & couleur d'une flèche de variation \\
+\IargName{tkzTabSetup}{arrowstyle}& |latex'| & style d'une flèche de variation \\
+\IargName{tkzTabSetup}{arrowlinewidth}&|0.4pt|&épaisseur d'une flèche de variation \\
+\bottomrule
+\end{tabular}
+
+\medskip
+\noindent\emph{Cette macro s'utilise dès le début. Les épaisseurs sont en générale donnée en \tkzname{pt}, la valeur par défaut est la plus fréquente. }
+
+\end{NewMacroBox}
+
+\subsubsection{Utilisation de \tkzname{doubledistance} et \tkzname{hcolor}}
+
+\begin{center}
+\begin{tikzpicture}
+ \tkzTabColors[backgroundcolor=fondpaille,%
+ color=Maroon]
+ \tkzTabSetup[doubledistance = 2pt]
+ \tkzTabInit[lgt=2,espcl=1]
+ {$x$ /1, $x^2-3x+2$ /1, $\ln (x^2-1)$ /1, $E(x)$ /1}%
+ {$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}%
+ \tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , }
+ \tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , }
+ \tkzTabLine{ , + , z , - , d , h , d , + ,z , - , z , + , }
+\end{tikzpicture}
+\end{center}
+
+
+\begin{tkzexample}[code only,small]
+\begin{tikzpicture}
+ \tkzTabColors[backgroundcolor=fondpaille,%
+ color=Maroon]
+\tkzTabSetup[doubledistance = 2pt]
+\tkzTabInit[lgt=2,espcl=1]
+{$x$ /1, $x^2-3x+2$ /1, $\ln (x^2-1)$ /1, $E(x)$ /1}%
+{$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}%
+\tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , }
+\tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , }
+\tkzTabLine{ , + , z , - , d , h , d , + ,z , - , z , + , }
+\end{tikzpicture}
+\end{tkzexample}
+
+\subsubsection{Utilisation de \tkzname{fromcolor} et \tkzname{tancolor}}
+
+\begin{center}
+ \begin{tikzpicture}
+ \tkzTabSetup[fromcolor = red, tancolor = blue,,backgroundcolor=fondpaille,%
+ color=Maroon]
+ \tkzTabInit[espcl=4]
+ { $x$ /1, $f''(x)$ /1, $f'$ /3, $f$ /4}%
+ { $0$ , $1$ , $\alpha$,$+\infty$ }%
+ \tkzTabLine {d , + , z , - , , - }%
+ \tkzTabVar
+ {- / $1$ /, + / /, R / /, - / $-\infty$ /}
+
+ \tkzTabVal[draw]{2}{4}{0.5}{}{0}
+ \tkzTabIma[draw]{2}{4}{3}{$0$}
+ \tkzTabTan[pos]{1}{2}{2}{$2$}
+ \tkzTabVar
+ {- / $-\infty$ , R / , + / $1$ , - / $0$ }
+ \tkzTabIma[draw]{1}{3}{2}{$0$}
+ \end{tikzpicture}
+\end{center}
+
+
+\begin{tkzexample}[code only,small]
+\begin{tikzpicture}
+ \tkzTabSetup[fromcolor = red, tancolor = blue,,backgroundcolor=fondpaille,%
+ color=Maroon]
+ \tkzTabInit[espcl=4]
+ { $x$ /1, $f''(x)$ /1, $f'$ /3, $f$ /4}%
+ { $0$ , $1$ , $\alpha$,$+\infty$ }%
+ \tkzTabLine {d , + , z , - , , - }%
+ \tkzTabVar
+ {- / $1$ /, + / /, R / /, - / $-\infty$ /}
+
+ \tkzTabVal[draw]{2}{4}{0.5}{}{0}
+ \tkzTabIma[draw]{2}{4}{3}{$0$}
+ \tkzTabTan[pos]{1}{2}{2}{$2$}
+ \tkzTabVar
+ {- / $-\infty$ , R / , + / $1$ , - / $0$ }
+ \tkzTabIma[draw]{1}{3}{2}{$0$}
+\end{tikzpicture}
+\end{tkzexample}
+
+\subsection{Utilisation de \tkzcname{tikzset} pour modifier les styles}
+
+Voici la liste des styles qui sont utilisés et leurs définitions.
+
+\begin{tabular}{ll}
+\toprule
+\tkzname{node style} & style des nodes utilisé pour les valeurs placées dans le tableau \\
+\tkzname{low left} & valeur située en bas et à gauche d'un trait vertical \\
+\tkzname{low right} & valeur située en bas et à droite d'un trait vertical\\
+\tkzname{hight left} & valeur située en haut et à gauche d'un trait vertical\\
+\tkzname{hight right}& valeur située en haut et à droite d'un trait vertical\\
+\tkzname{low} & valeur située en bas d'un trait vertical \\
+\tkzname{hight } & valeur située en haut d'un trait vertical \\
+\tkzname{on double} & couleur du fond sous une double barre \\
+\tkzname{tan style} & style pour une tangente\\
+\tkzname{arrow style} & style pour les flèches des variations\\
+\tkzname{from style} & style pour la ligne allant d'un antécédent à une image\\
+\tkzname{h style} & style pour une zone interdite\\
+\tkzname{double style} & style pour une double barre\\
+\tkzname{t style} & style pour un trait vertical\\
+\bottomrule
+\end{tabular}
+
+
+Les valeurs par défaut utilisées sont les suivantes :
+\begin{tkzexample}[code only, small]
+\def\tkzTabDefaultWritingColor{black}
+\def\tkzTabDefaultBackgroundColor{white}
+\def\tkzTabDefaultLineWidth{0.4pt}
+\def\tkzTabDefaultArrowStyle{latex'}
+\def\tkzTabDefaultSep{2pt}
+\end{tkzexample}
+
+les principaux styles par défaut sont :
+
+\begin{tkzexample}[code only, small]
+\tikzset{node style/.style = {inner sep = \tkzTabDefaultSep,
+ outer sep = \tkzTabDefaultSep,
+ fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{tan style/.style = {> = \tkzTabDefaultArrowStyle,
+ ->,
+ color = \tkzTabDefaultBackgroundColor}}
+\tikzset{arrow style/.style = {\tkzTabDefaultWritingColor,
+ ->,
+ > = \tkzTabDefaultArrowStyle,
+ shorten > = \tkzTabDefaultSep,
+ shorten < = \tkzTabDefaultSep}}
+\tikzset{from style/.style = {shorten > = \tkzTabDefaultSep,
+ shorten < = \tkzTabDefaultSep,
+ line width = \tkzTabDefaultLineWidth,
+ > = \tkzTabDefaultArrowStyle,
+ ->,
+ draw = \tkzTabDefaultWritingColor,
+ dotted}}
+\tikzset{t style/.style = {style = dotted,
+ draw = \tkzTabDefaultWritingColor}}
+\tikzset{h style/.style = {pattern = north west lines,
+ pattern color = \tkzTabDefaultWritingColor}}
+\tikzset{on double/.style = {fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{double style/.append style = {%
+ draw = \tkzTabDefaultWritingColor,
+ double = \tkzTabDefaultBackgroundColor}}
+\end{tkzexample}
+
+Les couleurs de fond pour les différentes sont définies par les styles :
+\begin{tkzexample}[code only, small]
+\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}}
+\end{tkzexample}
+Enfin les approches des valeurs par les flèches sont :
+\begin{tkzexample}[code only, small]
+\tikzset{low left/.style = {above left = \tkzTabDefaultSep}}
+\tikzset{low right/.style = {above right = \tkzTabDefaultSep}}
+\tikzset{high right/.style = {below right = \tkzTabDefaultSep}}
+\tikzset{high left/.style = {below left = \tkzTabDefaultSep}}
+\tikzset{low/.style = {above = \tkzTabDefaultSep}}
+\tikzset{high/.style = {below = \tkzTabDefaultSep}}
+\end{tkzexample}
+
+\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{h style}}
+
+
+\begin{tkzexample}[latex=7cm,small]
+\begin{tikzpicture}
+ \tkzTabColors[backgroundcolor=fondpaille,%
+ color=Maroon]
+ \tkzTabSetup[doubledistance = 2pt]
+ \tikzset{h style/.style = {fill=red!50}}
+ \tkzTabInit[color,espcl=1.5]%
+ {$x$ / 1,$g(x)$ / 1}%
+ {$0$,$1$,$2$,$3$}%
+ \tkzTabLine{z,+,d,h,d,-,t}
+\end{tikzpicture}
+\end{tkzexample}
+
+\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{h style}}
+
+\begin{tkzexample}[latex=7cm,small]
+\begin{tikzpicture}
+\tikzset{h style/.append style = {%
+ pattern=north east lines}}
+\tkzTabInit[color,espcl=1.5]%
+ {$x$ / 1,$g(x)$ / 1}%
+ {$0$,$1$,$2$,$3$}%
+\tkzTabLine{z,+,,h,d,-,t}
+\end{tikzpicture}
+\end{tkzexample}
+
+\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzname{arrow style}}
+
+\begin{center}
+ \begin{tkzexample}[vbox,small]
+ %\newcommand*{\E}{\ensuremath{\mathrm{e}}}
+ \begin{tikzpicture}
+
+ \tikzset{arrow style/.append style = {red,shorten >=6pt,shorten <=6pt}}
+ \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}%
+ {$0$ ,$1/\E$ , $+\infty$}%
+ \tkzTabLine{d,-,z,+,}
+ \tkzTabVar%
+ { D+/ / $0$ ,%
+ -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,%
+ +/ $+\infty$ / }%
+ \end{tikzpicture}
+ \end{tkzexample}
+\end{center}
+
+
+\subsubsection{Utilisation de \tkzcname{tikzset} et \tkzcname{tkzTabSetup}}
+
+ On remarquera la dernière utilisation de \tkzcname{tkzTabSetup} qui remet les valeurs par défaut.
+
+\begin{center}
+ \begin{tkzexample}[vbox,small]
+ % \newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}}
+ % \newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}}
+ % \newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}}
+ % \newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}}
+ % \newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}}
+
+ \begin{tikzpicture}
+ \tkzTabSetup[fromcolor = red,
+ fromstyle = dashed,
+ fromwidth = 1pt,
+ fromarrowstyle = stealth',
+ arrowcolor = green ]
+ \tkzTabInit[lgt=1.5,espcl=5]{ $x$/.7,$f''(x)$/.7,$f'$/3,$f$/3 }%
+ { $a$ , $d$ ,$e$}
+ \tkzTabLine{ z,+ ,z,- ,z }
+ \tkzTabVar {-/\va ,+/\vd , -/ \ve}
+ \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{b}{$1$}
+ \tikzset{from style/.append style = {draw = blue}}
+ \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{c}{$2$}
+ \tkzTabVar{-/$-\infty$ ,R/ , +/ $+\infty$}
+ \tkzTabSetup
+ \tkzTabVal[draw]{1}{3}{0.5}{}{$0$}
+ \draw[opacity=0.5,fill=red!40] (vb) circle(2ex);
+ \draw[opacity=0.5,fill=blue!40] (vc) circle(2ex);
+ \end{tikzpicture}
+ \end{tkzexample}
+\end{center}
+
+
+
+\endinput
+
+
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tangente.tex
index 48f39e2612b..f7d7354d548 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tangente.tex
@@ -1,18 +1,24 @@
-% 20 / 02 /2009 v1.00c TKZdoc-tab-tangente
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
+% $Id$
+% 20 / 02 /2009 v1.00c TKZdoc-tab-tangente
+% Created by Alain Matthes on 2010-02-23.
+% Copyright (c) 2010 __Collège Sévigné__. All rights reserved.
+%
+
\section{Tangente horizontale : \addbs{tkzTabTan} et \addbs{tkzTabTanFrom}}
-\subsection{Définition de \textcolor{red}{tkzTabTan}}
+\subsection{Définition de \tkzcname{tkzTabTan}}
\begin{NewMacroBox}{tkzTabTan}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Image\}}
\begin{tabular}{lllc}
-\hline
-\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IargName{tkzTabTan}{Début} & |no default| & rang de l'origine de la flèche \\
-\IargName{tkzTabTan}{Fin} & |no default| & rang de l'extrémité de la flèche \\
+\toprule
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\midrule
+\IargName{tkzTabTan}{Début}&|no default|&rang de l'origine de la flèche \\
+\IargName{tkzTabTan}{Fin}&|no default|& rang de l'extrémité de la flèche \\
\IargName{tkzTabTan}{Position} & |no default| & rang de l'antécédent \\
\IargName{tkzTabTan}{Image} & |no default| & valeur de l'image \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -20,11 +26,11 @@
\medskip
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -45,7 +51,8 @@ La flèche débute pour la valeur initiale $0$ donc de rang $1$ et se termine po
{d , + , 0 , + , }
{D- / $-\infty$ , R / , +/ $+\infty$}%
\tkzTabTan{1}{3}{2}{\scriptsize $2$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Tangente à l'extrémité d'un intervalle}
Dans l'exemple ci-dessous, la flèche débute pour la valeur initiale $0$ donc de rang $1$ et se termine pour $1$, valeur de rang $2$. La tangente est ici en $x=1$ soit la valeur de rang $2$. Il faut remarquer que la macro \tkzcname{tkzTabTan} s'applique à la ligne de variations qui la précède.
@@ -58,7 +65,8 @@ La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTa
\tkzTabLine{t , + , z , - , }%
\tkzTabVar{-/ $-1$ , +/ , -/$-\infty$ }
\tkzTabTan[pos=below]{1}{2}{2}{$0$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Utilisation des options}
@@ -72,7 +80,8 @@ La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTa
\tkzTabTan[pos=below]{1}{2}{2}{$0$}
\tkzTabVar{+/ $+\infty$ , R/ , -/ $0$}
\tkzTabTan{1}{3}{2}{$1$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Variations imbriquées}
\begin{tkzexample}[vbox]
@@ -91,23 +100,23 @@ La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTa
\tkzTabVar{+/ $+\infty$ , - / , R/,+/ , -/ $0$ }
\tkzTabTan[]{1}{2}{2}{$1$}
\tkzTabTan[pos=below]{2}{4}{4}{$2$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
-\newpage
\subsection{Définition de \textcolor{red}{tkzTabTanFrom}}
\begin{NewMacroBox}{tkzTabTanFrom}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Image\}}
\begin{tabular}{lllc}
-\hline
-\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IargName{tkzTabTanFrom}{Début} & |no default| & rang de l'origine de la flèche \\
-\IargName{tkzTabTanFrom}{Fin} & |no default| & rang de l'extrémité de la flèche \\
-\IargName{tkzTabTanFrom}{Position} & |no default| & nom d'un point \\
-\IargName{tkzTabTanFrom}{Image} & |no default| & valeur de l'image \\
-\hline
+\toprule
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\midrule
+\IargName{tkzTabTanFrom}{Début} & |no default| & rang de l'origine de la flèche \\
+\IargName{tkzTabTanFrom}{Fin} & |no default| & rang de l'extrémité de la flèche \\
+\IargName{tkzTabTanFrom}{Position} & |no default| & nom d'un point \\
+\IargName{tkzTabTanFrom}{Image} & |no default| & valeur de l'image \\
+\bottomrule
\end{tabular}
\medskip
@@ -115,18 +124,18 @@ La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTa
\medskip
\begin{tabular}{lllc}
-\hline
-\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
-\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\
-\hline
+\toprule
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\midrule
+\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\
+\bottomrule
\end{tabular}
\end{NewMacroBox}
\subsection{Le nom est défini par le tableau}
Le nom du node qui correspond à $\alpha$ est ici \tkzname{N21} (antécédent de rang 2, premier filet sous la valeur.)
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[ espcl=6]
{ $x$ /1,
@@ -136,11 +145,12 @@ Le nom du node qui correspond à $\alpha$ est ici \tkzname{N21} (antécédent de
\tkzTabLine { , ,+, , }%
\tkzTabVar{-/ $-1$ , R , +/ $+1$ /}%
\tkzTabTanFrom[pos=below]{1}{3}{N21}{$0$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Le nom est donné par l'utilisateur avec l'option \texttt{\textcolor{red}{remember}}}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[ espcl=4]
{ $x$ /1,
@@ -166,7 +176,8 @@ Le nom du node qui correspond à $\alpha$ est ici \tkzname{N21} (antécédent de
\tkzTabImaFrom[]{1}{3}{v1}{0}%
\tkzTabImaFrom[]{3}{4}{v2}{}%
\tkzTabTanFrom[pos=below]{3}{4}{v2}{$1$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tv.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tv.tex
index 99f49c42597..54a611b7204 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tv.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-tv.tex
@@ -6,14 +6,14 @@
\medskip
\begin{tabular}{lllc}
-\hline
-\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\toprule
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\midrule
\IargName{tkzTab}{liste1} & |no default| & \var{e(1)/h(1),\dots,e(p)/h(p)} première colonne \\
\IargName{tkzTab}{liste2} & |no default| & \var{a(1),\dots,a(n)} antécédents de la première ligne \\
\IargName{tkzTab}{liste3} & |no default| & \var{s(1),\dots,s(2n-1)} symboles de la ligne de signes \\
\IargName{tkzTab}{liste4} & |no default| & \var{s(1)/eg(1)/ed(1),\dots,s($q$)/eg($q$)/ed($q$)} variations \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -35,7 +35,7 @@
Étude de la fonction $f~:~ x \longmapsto x^2$ sur $[-5~;~7]$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab[lgt=3,espcl=5]{ $x$ / 1,
$f'(x)$ / 1,
@@ -43,12 +43,13 @@
{ $-5$ , $0$ ,$7$}
{ ,-,z,+,}
{ +/$25$ , -/$0$ , +/ $49$}%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Exemple 2}
Étude de la fonction $f~:~ x \longmapsto x \ln x $ sur $]0~;~+\infty]$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab[espcl=5,lgt=3]{$x$ / 1, Signe de \\$\ln x +1$ / 1.5,%
Variations de \\$f$ / 3}%
@@ -56,28 +57,31 @@
{D+/ $0$,%
-/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}} ,%
+/ $+\infty$ }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Exemple 3}
Étude de la fonction $f~:~ $x$ \longmapsto \sqrt{x^2-1}$ sur $]-\infty~;~-1] \cup [1~;~+\infty[$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab{ $x$ / 1, $f'(x)$ / 1, $f$ / 2}%
{ $-\infty$, $-1$ ,$1$, $+\infty$}
{ ,-,d,h,d,+, }
{ +/$+\infty$ , -H/$0$, -/$0$ , +/ $+\infty$ }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Exemple 4}
Étude de la fonction $f~:~ $t$ \longmapsto \frac{t^2}{t^2-1}$ sur $[0~;~+\infty[$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab{ $t$ / 1, Signe de\\ $f'(t)$ / 2, Variation de \\$f$ / 2}%
{ $0$, $1$, $+\infty$}
{ z , - , d , - , }
{ +/$0$ , -D+/$-\infty$/$+\infty$, -/ $1$ }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\endinput
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-valeurs.tex
index b267b92b69e..dda8e4a3364 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-valeurs.tex
@@ -1,3 +1,4 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 20 / 02 /2009 v1.00c TKZdoc-tab-valeurs
\section{Valeurs intermédiaires \addbs{tkzTabVal}}
Cette macro permet de placer une valeur sur une flèche de la ligne des variations. Elle doit être employée juste après la commande \tkzcname{tkzTabVar} définissant la ligne de variations sur laquelle on souhaite placer les valeurs intermédiaires. On ne peut placer une valeur que dans un intervalle où la fonction est \tkzname{monotone}. Cette macro permet d'afficher une nouvelle valeur (intermédiaire) dans la première ligne.
@@ -7,15 +8,15 @@ Cette macro permet de placer une valeur sur une flèche de la ligne des variatio
\begin{NewMacroBox}{tkzTabVal}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}}
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IargName{tkzTabVal}{Début} & |no default| & rang de l'origine de la flèche \\
\IargName{tkzTabVal}{Fin} & |no default| & rang de l'extrémité de la flèche \\
\IargName{tkzTabVal}{Position} & |no default| & nombre décimal entre $0$ et $1$ \\
\IargName{tkzTabVal}{Antécédent}& |no default| & valeur de l'antécédent si nécessaire \\
\IargName{tkzTabVal}{Image} & |no default| & valeur de l'image si nécessaire \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -23,12 +24,12 @@ Cette macro permet de placer une valeur sur une flèche de la ligne des variatio
\medskip
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IoptName{tkzTabVal}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
\IoptName{tkzTabVal}{remember}& |lastval|& définit un node personnalisé \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -41,9 +42,10 @@ Le premier exemple montre des valeurs remarquables pour la fonction $\ln$. Il s'
\begin{tkzexample}[code only]
\tkzTabVal{1}{2}{0.33}{1}{0}
- \tkzTabVal{1}{2}{0.66}{\E}{1} \end{tkzexample}
+ \tkzTabVal{1}{2}{0.66}{\E}{1}
+\end{tkzexample}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox, small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=10] {$x$ /1, Signe\\ de $\dfrac{1}{x}$ /1.5,%
Variation\\ de $\ln$ /2} {$0$ , $+\infty$}%
@@ -51,36 +53,41 @@ Le premier exemple montre des valeurs remarquables pour la fonction $\ln$. Il s'
\tkzTabVar[color=red]{ D- / $-\infty$, + / $+\infty$ }
\tkzTabVal{1}{2}{0.33}{1}{0}
\tkzTabVal{1}{2}{0.66}{\E}{1}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Ajout de valeurs intermédiaires avec une fonction non monotone }
On ne peut utiliser la macro que sur un intervalle où la fonction est monotone, ici il y a trois valeurs
\mbox{$0$, $\E$ et $+\infty$}. La fonction est monotone entre les deux premières c'est à dire entre les valeurs de rang $1$ et $2$ ainsi qu'entre les deux dernières de rang $2$ et $3$.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
- \tkzTabInit[espcl=6]{$x$ / 1 , $f'(x)$ / 1, $f(x)$ / 2}
- {$0$, $\E$ , $+\infty$}%
+ \tkzTabInit[espcl=6]{$x$ / 1 , $f'(x)$ / 1, $f(x)$ / 2}
+ {$0$, $\E$ , $+\infty$}%
\tkzTabLine{d,+,0,-,}%
\tkzTabVar{D- / $-\infty$, + / $\E$, - / $0$ }%
\tkzTabVal[draw]{1}{2}{0.6}{$1$}{$\dfrac{1}{\E}$}%
\tkzTabVal[draw]{2}{3}{0.4}{$\E^2$}{$1$}%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Ajout de valeurs intermédiaires avec un palier}
Il ne faut pas s'arrêter au deuxième antécédent. La fonction est monotone mais admet un palier. L'option \tkzname{R} permet d'éviter qu'une flèche s'arrête pour $\sqrt\E$. La flèche va donc de la valeur de rang $1$ à la valeur de rang $3$. Le code est donc :
-\begin{tkzexample}[code only]\tkzTabVal[draw]{1}{3}{0.6}{\E}{$\dfrac{-1}{\E}$} \end{tkzexample}
+\begin{tkzexample}[code only]
+ \tkzTabVal[draw]{1}{3}{0.6}{\E}{$\dfrac{-1}{\E}$}
+\end{tkzexample}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=6]{$x$/1,$f'(x)$/1, $f(x)$/2}
{$0$,$\sqrt\E$,$+\infty$}%
\tkzTabLine{d,+,0,+,}%
\tkzTabVar{D- / $-\infty$,R / ,+ / $0$ }
\tkzTabVal[draw]{1}{3}{0.4}{$1$}{$-\E$}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Valeurs intermédiaires et plusieurs lignes de variations }
@@ -88,26 +95,25 @@ Il ne faut pas s'arrêter au deuxième antécédent. La fonction est monotone m
Les variations de $f$ et $f'$ sont représentées. Pour $f$ la valeur $1$ n'est pas utilisée, on passe donc du rang $1$ au rang $3$.
-\begin{tkzexample}[vbox,very small]
- \begin{tikzpicture}
- \tkzTabInit[espcl=6]{$x$/1,$f''(x)$/1,$f'(x)$/3,$f(x)$/3}
- {$0$,$1$,$+\infty$}%
- \tkzTabLine{d,+,0,-, }%
- \tkzTabVar{-/ $-\infty$ /,+/ /,-/ $-\infty$ /}
- \tkzTabVal[draw]{1}{2}{0.3}{$0,3$}{$-2$}
- \tkzTabVal[draw]{2}{3}{0.6}{$4$}{$-1$}
- \tkzTabVar{+/ $+\infty$/,R/ /,-/ $-1$/}
- \tkzTabVal[draw]{1}{3}{0.6}{$2$}{$0$}
-\end{tikzpicture}\end{tkzexample}
+\begin{tkzexample}[vbox,small]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=6]{$x$/1,$f''(x)$/1,$f'(x)$/3,$f(x)$/3}
+ {$0$,$1$,$+\infty$}%
+ \tkzTabLine{d,+,0,-, }%
+ \tkzTabVar{-/ $-\infty$ ,+/ ,-/ $-\infty$ }
+ \tkzTabVal[draw]{1}{2}{0.3}{$0,3$}{$-2$}
+ \tkzTabVal[draw]{2}{3}{0.6}{$4$}{$-1$}
+ \tkzTabVar{+/ $+\infty$,R ,-/ $-1$}
+ \tkzTabVal[draw]{1}{3}{0.6}{$2$}{$0$}
+\end{tikzpicture}
+\end{tkzexample}
-
- \newpage
\subsection{Utilisation des options}
\subsubsection{\texttt{\textcolor{red}{draw}} : ajout d'une flèche vers la valeur ajoutée}\Iopt{tkzTabVal}{draw}
L'option a déjà été utilisée dans les exemples précédents, en voici un autre.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[lgt=3,espcl=10]{$x$ /1,
Signe\\ de $\dfrac{1}{x}$ /2,
@@ -125,7 +131,6 @@ L'option a déjà été utilisée dans les exemples précédents, en voici un au
\end{tkzexample}
-\newpage
\subsubsection{\texttt{\textcolor{red}{remember}} : attribuer un nom à un point ou un node.}
\Iopt{tkzTabVal}{remember}
@@ -137,23 +142,23 @@ Cette option permet d'utiliser \tkzcname{tkzTabImaFrom} mais il est possible de
\end{tkzexample}
-\begin{tkzexample}[,very small]
- \begin{tikzpicture}
- \tkzTabInit[lgt=3,espcl=6]{ $x$/1,/1,/3,/3 }%
- { $a$ , $d$ ,$e$}
- \tkzTabLine{ z,+ ,z,- ,z }
- \tkzTabVar {-/\va ,+/\vd , -/ \ve}
-
- \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{$b$}{$0$}
- \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{$c$}{$1$}
-
- \tkzTabVar{-/\va ,R/ , +/ \ve}
-
- \tkzTabVal[draw]{1}{3}{0.5}{}{$0$}
-
+\begin{tkzexample}[,small]
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=3,espcl=6]{ $x$/1,/1,/3,/3 }%
+ { $a$ , $d$ ,$e$}
+ \tkzTabLine{ z,+ ,z,- ,z }
+ \tkzTabVar {-/\va ,+/\vd , -/ \ve}
+
+ \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{$b$}{$0$}
+ \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{$c$}{$1$}
+
+ \tkzTabVar{-/\va ,R/ , +/ \ve}
+
+ \tkzTabVal[draw]{1}{3}{0.5}{}{$0$}
+
\draw[opacity=0.4,fill=red!20] (vb) circle(3ex);
\draw[opacity=0.4,fill=blue!20] (vc) circle(3ex);
- \end{tikzpicture}
+ \end{tikzpicture}
\end{tkzexample}
\medskip
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-variation.tex
index 9afa44a7cf0..9faa02ec665 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab-variation.tex
@@ -1,3 +1,4 @@
+%!TEX root = /Users/ego/Boulot/TKZ/tkz-tab/doc/TKZdoc-tab-main.tex
% 22 / 02 /2009 v1.0c TKZdoc-tab-variation 10h
\section{Création d'une ligne de variations : \addbs{tkzTabVar}}
\subsection{Définition}
@@ -9,11 +10,11 @@
\medskip
\begin{tabular}{llrl}
-\hline
+\toprule
Groupe 1& \emph{avec un seul signe} &&\\
-\hline
-\tkzname{s($i$)} & Position des expressions & \tkzname{el($i$)} & \\
-\hline
+\midrule
+\tkzname{s($i$)} & Position des expressions & \tkzname{el($i$)} & \\
+\midrule
\IargName{tkzTabVar}{$-~~~$}& expression unique et centrée en bas eg=ed & $- $&$/e $ \\
\IargName{tkzTabVar}{$+~~~$}& expression unique et centrée en haut eg=ed & $+ $&$/e $ \\
\IargName{tkzTabVar}{$~R~~$}& rien, on passe à l'expression suivante & $~R $&$(/) $ \\
@@ -29,9 +30,9 @@
\IargName{tkzTabVar}{$-DH$} & discontinuité à gauche et en bas puis zone interdite & $-DH $&$/e $ \\
\IargName{tkzTabVar}{$+CH$} & prolongement par continuité puis zone interdite & $+CH $&$/e $ \\
\IargName{tkzTabVar}{$-CH$} & idem mais expression en bas et à gauche & $-CH $&$/e $ \\
-\hline
+\midrule
Groupe 2& \emph{avec deux signes}& &\\
-\hline
+\midrule
\IargName{tkzTabVar}{$+D-$} & discontinuité,\hfill deux expressions & $+D- $&$/eg/ed$ \\
\IargName{tkzTabVar}{$-D+$} & discontinuité, \dots \hfill qui sont & $-D+ $&$/eg/ed$ \\
\IargName{tkzTabVar}{$+D+$} & discontinuité, \dots \hfill soit à gauche ,soit à droite &$+D+ $&$/eg/ed$ \\
@@ -48,9 +49,9 @@
\IargName{tkzTabVar}{$-V-$} & \dots \hfill deux expressions qui sont & $-V- $&$/eg/ed$ \\
\IargName{tkzTabVar}{$+V-$} & \dots \hfill soit à gauche ,soit à droite & $+V- $&$/eg/ed$ \\
\IargName{tkzTabVar}{$-V+$} & \dots \hfill soit en haut, soit en bas & $-V+ $&$/eg/ed$ \\
-\hline
+\midrule
\tkzname{\textvisiblespace} & laisse la place vide dans certains cas& & \\
-\hline
+\bottomrule
\end{tabular}
\medskip
@@ -63,12 +64,12 @@
\medskip
\begin{tabular}{lllc}
-\hline
+\toprule
\texttt{options} & \texttt{défaut} & \texttt{définition} \\
-\hline
+\midrule
\IoptName{tkzTabVar}{color} & |black| & couleur des flèches \\
\IoptName{tkzTabVar}{help} & affiche la structure d'une ligne de variations \\
- \hline
+ \bottomrule
\end{tabular}
\end{NewMacroBox}
@@ -135,7 +136,7 @@ Un schéma étant parfois plus simple qu'un long discours \dots
\draw[fill=green!50] (FLN43) circle(2pt);
\end{tikzpicture}
\end{center}
-
+
\medskip
Pour les besoins de certains tableaux , j'ai employé les macros suivantes~:
@@ -165,7 +166,8 @@ Pour les besoins de certains tableaux , j'ai employé les macros suivantes~:
{$0$,$1$,$2$,$+\infty$}%
\tkzTabLine{t,-,d,-,z,+,}%
\tkzTabVar{+/\va , -D+/\vb/\vc,-/\vd, +D/\ve}%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité de la flèche en haut ou en bas de la ligne. Ensuite, en présence d'un seul signe, une seule expression est nécessaire. La position par rapport à la colonne est donnée par la position du signe par rapport aux autres symboles (voir \tkzname{$+D$}). \tkzname{$-D+$} nécessite deux expressions.
@@ -175,7 +177,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\bgroup\parindent=0pt
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+ /\va , -/\vb }\end{tkzexample}
+ {+ /\va , -/\vb }
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -185,7 +188,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{-/\va , +/\vb}\end{tkzexample}
+ {-/\va , +/\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -195,7 +199,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , +/\vb}\end{tkzexample}
+ {+/\va , +/\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -205,7 +210,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{-/\va , -/\vb}\end{tkzexample}
+ {-/\va , -/\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -215,7 +221,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , -C / \vb}\end{tkzexample}
+ {+/\va , -C / \vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -235,7 +242,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
- {+C / \va , -C / \vb} \end{tkzexample}
+ {+C / \va , -C / \vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -245,7 +253,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
- {-C /\va , +C /\vb}\end{tkzexample}
+ {-C /\va , +C /\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -255,17 +264,19 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{ D+ /\va , -/\vb} \end{tkzexample}
+ { D+ /\va , -/\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
-{ D+ /\va , -/\vb}
+ { D+ /\va , -/\vb}
\end{tikzpicture}
\end{minipage}
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{ D- /\va , +/\vb} \end{tkzexample}
+ { D- /\va , +/\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar
@@ -275,7 +286,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , -D / \vb} \end{tkzexample}
+ {+/\va , -D / \vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -285,17 +297,19 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{-/\va , +D / \vb }\end{tkzexample}
+ {-/\va , +D / \vb }
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
{-/\va , +D / \vb }
\end{tikzpicture}
\end{minipage}
-%
+
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
- {D+ / \va , -D / \vb }\end{tkzexample}
+ {D+ / \va , -D / \vb }
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -305,7 +319,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
- {D- /\va , +D /\vb}\end{tkzexample}
+ {D- /\va , +D /\vb}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
\tkzTabVar%
@@ -315,7 +330,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/ \va , -/ \vb , +/ \vc}\end{tkzexample}
+ {+/ \va , -/ \vb , +/ \vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/ \va , -/ \vb ,+/ \vc}
@@ -324,7 +340,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/ \va ,-C/ \vb , +/ \vc/ }\end{tkzexample}
+ {+/ \va ,-C/ \vb , +/ \vc/ }
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/ \va ,-C/ \vb , +/ \vc/ }
@@ -333,7 +350,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{- /\va , R , +/\vc}\end{tkzexample}
+ {- /\va , R , +/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -343,7 +361,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{- /\va , R , +/\vc}\end{tkzexample}
+ {- /\va , R , +/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2}{ a , b , c }
\tkzTabVar%
@@ -353,7 +372,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , +DH/\vbo/ , }\end{tkzexample}
+ {D-/\va , +DH/\vbo/ , }
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -363,7 +383,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , -DH/\va/\vb , D+/}\end{tkzexample}
+ {D-/\va , -DH/\va/\vb , D+/}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -373,7 +394,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , +D-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+ {D-/\va , +D-/\vbo/\vbt , +D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -383,7 +405,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , +D-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+ {D-/\va , +D-/\vbo/\vbt , +D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -393,7 +416,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , -D- / \vbo/\vbt , +/\vc}\end{tkzexample}
+ {+/\va , -D- / \vbo/\vbt , +/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/ \va , -D- /\vbo/\vbt,+/\vc }
@@ -402,7 +426,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+ /\va,-DC- /\vbo/\vbt,+ /\vc}\end{tkzexample}
+ {+ /\va,-DC- /\vbo/\vbt,+ /\vc}
+\end{tkzexample}
\begin{tikzpicture}\tikzset{low/.style = {above = 15pt}}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+ /\va ,-DC- /\vbo/\vbt ,+ /\vc}
@@ -411,7 +436,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va, +DC-/\vbo/\vbt, +D/\vc}\end{tkzexample}
+ {D-/\va, +DC-/\vbo/\vbt, +D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -421,7 +447,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D+/\va , +DC-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+ {D+/\va , +DC-/\vbo/\vbt , +D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -431,7 +458,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , +CD-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+ {D-/\va , +CD-/\vbo/\vbt , +D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -441,7 +469,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D-/\va , +CD-/\vbo/\vbt ,+D/\vc}\end{tkzexample}
+ {D-/\va , +CD-/\vbo/\vbt ,+D/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -451,7 +480,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va, -DC+ /\vbo/\vbt, - /\vc}\end{tkzexample}
+ {+/\va, -DC+ /\vbo/\vbt, - /\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+ /\va ,-DC+ /\vbo/\vbt , -/\vc}
@@ -460,7 +490,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{D- /\va, -DC- /\vbo/\vbt,+D/\vc}\end{tkzexample}
+ {D- /\va, -DC- /\vbo/\vbt,+D/\vc}
+\end{tkzexample}
\begin{tikzpicture}\tikzset{low/.style = {above = 15pt}}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -470,7 +501,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , -CH /\vbo/\vbt , D+/}\end{tkzexample}
+ {+/\va , -CH /\vbo/\vbt , D+/}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -480,7 +512,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+ /\va , -CH/\vb, //}\end{tkzexample}
+ {+ /\va , -CH/\vb, //}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar%
@@ -490,7 +523,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/\va , -V- /\vbo /\vbt, +/\vc}\end{tkzexample}
+ {+/\va , -V- /\vbo /\vbt, +/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/\va,-V- /\vbo /\vbt, +/\vc}
@@ -499,7 +533,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/ \va ,-V+ / \vbo/ \vbt ,-/ \vc}\end{tkzexample}
+ {+/ \va ,-V+ / \vbo/ \vbt ,-/ \vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/ \va ,-V+ / \vbo/ \vbt ,-/ \vc}
@@ -508,7 +543,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{+/ \va ,+V- /\vbo/ \vbt , -/\vc}\end{tkzexample}
+ {+/ \va ,+V- /\vbo/ \vbt , -/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {+/ \va ,+V- / \vbo/ \vbt , -/\vc}
@@ -517,7 +553,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\hfill
\begin{minipage}{7cm}
\begin{tkzexample}[code only]
-{-/ \va, +V+ / \vbo/\vbt, -/\vc}\end{tkzexample}
+ {-/ \va, +V+ / \vbo/\vbt, -/\vc}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
\tkzTabVar {-/ \va ,+V+ / \vbo / \vbt, -/\vc}
@@ -526,7 +563,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{16cm}
\begin{tkzexample}[code only]
-{-/ \va ,+H/\vb,-/\vc, +/ \vd}\end{tkzexample}
+ {-/ \va ,+H/\vb,-/\vc, +/ \vd}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d }
\tkzTabVar {-/ \va ,+H/\vb,-/\vc, +/ \vd}
@@ -535,7 +573,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{16cm}
\begin{tkzexample}[code only]
-{+/ \va ,-H/\vb,-/\vc, +/ \vd}\end{tkzexample}
+ {+/ \va ,-H/\vb,-/\vc, +/ \vd}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d }
\tkzTabVar {+/ \va ,-H/\vb,-/\vc, +/ \vd}
@@ -544,7 +583,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{16cm}
\begin{tkzexample}[code only]
-{-/ \va , R , R , R , +/ \ve}\end{tkzexample}
+ {-/ \va , R , R , R , +/ \ve}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e}
\tkzTabVar {-/ \va ,R,R,R, +/ \ve}
@@ -553,7 +593,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{16cm}
\begin{tkzexample}[code only]
- {-/ \va , +/\vb , -DH/\vc , -/\vd , +/ \ve}\end{tkzexample}
+ {-/ \va , +/\vb , -DH/\vc , -/\vd , +/ \ve}
+ \end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e}
\tkzTabVar {-/ \va ,+/\vb ,-DH/\vc,-/\vd, +/ \ve}
@@ -562,7 +603,8 @@ Commentaires : Les signes $+$ et $-$ permettent de positionner une extrémité d
\begin{minipage}{16cm}
\begin{tkzexample}[code only]
-{D-/ \va , +DH/\vb/ , D-/\vc , +/\vd , +D/\ve}\end{tkzexample}
+ {D-/ \va , +DH/\vb/ , D-/\vc , +/\vd , +D/\ve}
+\end{tkzexample}
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=3]{ /0.5,/2 }{ a , b , c , d , e}
\tkzTabVar {D-/ \va ,+DH/\vb/,D-/\vc,+/\vd, -D/\ve}
@@ -587,7 +629,7 @@ Commentaires
\subsubsection{\texttt{\textcolor{red}{color}} : modification de la couleur des flèches}
Il est possible de personnaliser le tableau à l'aide de styles.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox, small]
\begin{tikzpicture}
\tkzTabInit[color,espcl=8]%
{$x$ /1,%
@@ -597,7 +639,8 @@ Il est possible de personnaliser le tableau à l'aide de styles.
\tkzTabLine{d,+,}%
\tkzTabVar[color=red]%
{D-/ / $-\infty$,+/ $+\infty$ /}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{help}} : affiche la structure du tableau}
\Iopt{tkzTabVar}{help}
@@ -609,46 +652,52 @@ Voir le chapitre personnalisation\ref{pers}
Si vous préférez hachurer une zone du tableau, alors il faut modifier un style.
Par défaut, \tkzname{h style} est défini ainsi:
- \begin{tkzexample}[code only]
-\tikzset{h style/.style = {fill=gray,opacity=0.4}} \end{tkzexample}
+\begin{tkzexample}[code only]
+ \tikzset{h style/.style = {fill=gray,opacity=0.4}}
+\end{tkzexample}
Une autre définition peut être :
- \begin{tkzexample}[code only]
- \tikzset{h style/.style = {fill=red!50}}\end{tkzexample}
+\begin{tkzexample}[code only]
+ \tikzset{h style/.style = {fill=red!50}}
+\end{tkzexample}
\begin{tkzexample}[vbox,width=9cm]
\begin{tikzpicture}
\tikzset{h style/.style = {fill=red!50}}
\tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}%
\tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{h style}} Zone interdite hachurée}
\Istyle{tkzTabVar}{h style}
- \begin{tkzexample}[code only]
- \tikzset{h style/.style = {pattern=north west lines}} \end{tkzexample}
+\begin{tkzexample}[code only]
+ \tikzset{h style/.style = {pattern=north west lines}}
+\end{tkzexample}
Ce code permet d'hachurer la zone
-\begin{tkzexample}[vbox,width=9cm,very small]
+\begin{tkzexample}[vbox,width=9cm,small]
\begin{tikzpicture}
\tikzset{h style/.style = {pattern=north west lines}}
\tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}%
\tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{arrow style}} style des flèches.}
\Istyle{tkzTabVar}{arrow}
Le style des flèches est \tkzname{arrow style} et il est défini ainsi :
- \begin{tkzexample}[code only]
+\begin{tkzexample}[code only]
\tikzset{arrow style/.style = {\cmdTAB@VA@color,
->,
> = latex',
shorten > = 2pt,
- shorten < = 2pt}}\end{tkzexample}
+ shorten < = 2pt}}
+\end{tkzexample}
On limite l'approche des nodes par les arrows. Voici une modification possible du style
@@ -657,11 +706,12 @@ Le style des flèches est \tkzname{arrow style} et il est défini ainsi :
->,
> = latex',
shorten > = 6pt,
- shorten < = 6pt}}\end{tkzexample}
+ shorten < = 6pt}}
+\end{tkzexample}
La couleur et l'approche des flèches sont modifiées.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tikzset{arrow style/.style = {blue,
->,
@@ -675,7 +725,8 @@ Le style des flèches est \tkzname{arrow style} et il est défini ainsi :
{ D+/ / $0$ ,%
-/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,%
+/ $+\infty$ / }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{\texttt{\textcolor{red}{node style}} Style des nodes}
\Istyle{tkzTabVar}{node style}
@@ -687,11 +738,23 @@ Par défaut, Le style des nodes est \tkzname{node style} et il est défini ainsi
Si on veut apporter des modifications mais conserver une partie de ce style, on peut agir ainsi :
\begin{tkzexample}[code only]
-\tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}}\end{tkzexample}
+ \tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}}
+\end{tkzexample}
Par défaut les nodes sont des rectangles non tracés, ils deviennent des disques
+
+\begin{tikzpicture}
+ \tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}}
+ \tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}%
+ {$0$ ,$1/\E$ , $+\infty$}%
+ \tkzTabLine{d,-,z,+,}
+ \tkzTabVar%
+ { D+/ / $0$ ,%
+ -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,%
+ +/ $+\infty$ / }%
+\end{tikzpicture}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[code only,small]
\begin{tikzpicture}
\tikzset{node style/.append style = {draw,circle,fill=red!40,opacity=.4}}
\tkzTabInit[espcl=5]{$x$ /1, $\ln x +1$ /1.5, $x \ln x$ /2}%
@@ -701,47 +764,52 @@ Si on veut apporter des modifications mais conserver une partie de ce style, on
{ D+/ / $0$ ,%
-/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,%
+/ $+\infty$ / }%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsection{Quelques exemples}
\subsubsection{Fonction inverse}
Étude de la fonction inverse $i~:~ x \longmapsto \frac{1}{x}$ sur $]-\infty~;~0[ \cup ]0~;~+\infty[$
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[lgt=1.5,espcl=6.5]{$x$ /1,$i'(x)$ /1,$i$ /3}
{$-\infty$,$0$,$+\infty$}%
\tkzTabLine{,-,d,-,}
\tkzTabVar{+/ $0$ / ,-D+/ $-\infty$ / $+\infty$ , -/ $0$ /}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Fonction avec des paliers, emploi du symbole \texttt{\textcolor{red}{R}}}
Il est possible avec R de passer plusieurs valeurs.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=4]{$x$ /1,$f'(x)$ /1,$f(x)$ /2}
{$0$ , $1$ ,$2$, $+\infty$}%
\tkzTabLine {d,+ , z,+ , z,+ , }
\tkzTabVar{D-/ / $-\infty$,R/ /,R/ /,+/ $+\infty$ /}%
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Zone interdite}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}%
\tkzTabVar{+/ $1$ / ,-DH/ $-\infty$ / ,D+/ / $+\infty$, -/ $2$ / }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Zone interdite + prolongement par continuité}
\index{zone interdite}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}%
\tkzTabVar{+/ $1$ / ,-CH/ $-2$ /, D+/ / $+\infty$,-/ $2$ / }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Zone interdite + double prolongement par continuité}
\index{prolongement par continuité}
@@ -749,12 +817,13 @@ Il est possible avec R de passer plusieurs valeurs.
\begin{tikzpicture}
\tkzTabInit[lgt=1,espcl=2]{$x$ /1, $f$ /2}{$0$,$1$,$2$,$3$}%
\tkzTabVar{+/ $1$ / , -CH/ $-2$ / , +C/ $5$, -/ $0$ / }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Exemple d'une fonction partiellement constante}
Utilisation de l'option nocadre qui supprime le cadre extérieur, sinon on peut constater que l'on peut mettre pratiquement ce que l'on veut avec la macro \tkzcname{signe}.
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTab[nocadre,lgt=3,espcl=4]
{$x$ /1,
@@ -764,11 +833,12 @@ Utilisation de l'option nocadre qui supprime le cadre extérieur, sinon on peut
{z, <--- 0 --->,d, -, d, \genfrac{}{}{0pt}{0}{\text{signe de}}{ a}, d}
{+/ $\dfrac{2}{3}$, +/ $\dfrac{2}{3}$,
-D-/ $-\infty$ / $-\infty$,+D/ $+\infty$ }
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
\subsubsection{Double variations}
-\begin{tkzexample}[vbox,very small]
+\begin{tkzexample}[vbox,small]
\begin{tikzpicture}
\tkzTabInit[espcl=6]
{$x$ /1, $f''{x}$ /1,$f'(x)$ /2, $f(x)$ /2}%
@@ -776,7 +846,8 @@ Utilisation de l'option nocadre qui supprime le cadre extérieur, sinon on peut
\tkzTabLine{d,+,z,-, }%
\tkzTabVar {D-/ /$1$,+/ $\E$ /,-/ $0$ /}%
\tkzTabVar {D-/ /$-\infty$ ,R/ $0$ /, +/ $+8$ /}
-\end{tikzpicture}\end{tkzexample}
+\end{tikzpicture}
+\end{tkzexample}
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab.ist b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab.ist
new file mode 100644
index 00000000000..935392d700b
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/latex/TKZdoc-tab.ist
@@ -0,0 +1,6 @@
+heading_prefix "{\\bfseries\\hfil "
+heading_suffix "\\hfil}\\nopagebreak\n"
+headings_flag 1
+delim_0 "\\dotfill"
+delim_1 "\\dotfill"
+delim_2 "\\dotfill"
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt b/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt
index 606e09d2852..b8c45875f96 100644
--- a/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt
+++ b/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt
@@ -1,7 +1,14 @@
+% utf8
+% version 1.4 01/06/2011
+
A. Purpose
-The 'tkz-tab' package is built on top of PGF and its associated front-end, TikZ and is a (La)TeX-friendly drawing package. The aim is to provide some useful macros to build tables showing variations of functions as they are used in France.
-These macros may be used by only LaTeX TeX users. The documentation is in French.
+The 'tkz-tab' package is built on top of PGF and its associated front-end,
+ TikZ and is a (La)TeX-friendly drawing package. The aim is to provide some
+ useful macros to build tables showing variations of functions as they are
+ used in France.
+These macros may be used by only LaTeX TeX users. The documentation is in
+ French.
B. Features
-- works with utf8 and pdflatex
@@ -13,7 +20,8 @@ C. Licence
You may freely use and distribute this package under the terms of lppl and/or gpl.
-Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete documentation
+Read file TKZdoc-tab.pdf.pdf in the doc directory, for the complete
+ documentation
D. Contents of the folder (encoding utf8)
@@ -40,9 +48,8 @@ D. Contents of the folder (encoding utf8)
sign-latin1.tex( example with latin1)
sign-latin1.pdf
-tkz-doc.cls is a class (beta version) to make the documentation. You need also the
-tkzexample.sty package (beta version) and KOMA-Script 2009/01/24 v3.02b to
- compile the documentation.
+tkz-doc.cls is a class (beta version) to make the documentation. You need also
+ the tkzexample.sty package (beta version) and KOMA-Script 2009/01/24 v3.02b to compile the documentation.
E. Installation
@@ -58,6 +65,9 @@ run 'MiKTeX Options'. In the 'File name database' section, click on
F. The author of the 'tkz-tab.sty' package is Alain Matthes.
--
-Alain Matthes, <al.ma@mac.com>
-February, 24th, 2009
+ Alain Matthes
+ 5 rue de Valence
+ Paris 75005
+
+ al (dot) ma (at) mac (dot) com
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdf b/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdf
deleted file mode 100644
index 77791a34084..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdf
+++ /dev/null
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.tex b/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.tex
deleted file mode 100644
index ec142b97fff..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.tex
+++ /dev/null
@@ -1,28 +0,0 @@
-\documentclass{article}
-\usepackage[latin1]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{lmodern}
-\usepackage{amsmath}
-\usepackage{tkz-tab}
-
-\parindent=0pt
-
-\begin{document}
-\begin{tikzpicture}
-\tikzset{double style/.style = {double,double distance=1pt}}
-\tkzTabInit[lgt=2,espcl=1]
-{$x$ /1,
-$x^2-3x+2$ /1,
-$\ln (x^2-1)$ /1,
-$E(x)$ /1}%
-{$-\infty$ ,$-\sqrt{2}$, $-1$ , $1$ ,$\sqrt{2}$ , $2$ , $+\infty$}%
-\tkzTabLine{ , + , t , + , t , + , z , - , t , - , z , + , }
-\tkzTabLine{ , + , z , - , d , h , d , - , z , + , t , + , }
-\tkzTabLine{ , + , z , - , d , h , d , + ,z , - , z , + , }
-\end{tikzpicture}
-\end{document}
-
-
-% latin1
-% pdflatex
-% Alain Matthes \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/tkz-tab-screen.pdf b/Master/texmf-dist/doc/latex/tkz-tab/tkz-tab-screen.pdf
new file mode 100644
index 00000000000..2814b10b5cd
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/tkz-tab-screen.pdf
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdf b/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdf
deleted file mode 100644
index 59ba39836e4..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdf
+++ /dev/null
Binary files differ
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.tex b/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.tex
deleted file mode 100644
index 9584aa2b2ed..00000000000
--- a/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.tex
+++ /dev/null
@@ -1,35 +0,0 @@
-\documentclass{article}
-\usepackage[latin1]{inputenc}
-\usepackage[T1]{fontenc}
-\usepackage{lmodern}
-\usepackage{amsmath}
-\usepackage{tkz-tab}
-
-\newcommand*{\va}{\colorbox{red!50} {$\scriptscriptstyle V_a$}}
-\newcommand*{\vb}{\colorbox{blue!50} {$\scriptscriptstyle V_b$}}
-\newcommand*{\vbo}{\colorbox{blue!50} {$\scriptscriptstyle V_{b1}$}}
-\newcommand*{\vbt}{\colorbox{yellow!50}{$\scriptscriptstyle V_{b2}$}}
-\newcommand*{\vc}{\colorbox{gray!50} {$\scriptscriptstyle V_c$}}
-\newcommand*{\vd}{\colorbox{magenta!50}{$\scriptscriptstyle V_d$}}
-\newcommand*{\ve}{\colorbox{orange!50} {$\scriptscriptstyle V_e$}}
-
-\parindent=0pt
-\begin{document}
-
-\begin{tikzpicture}
- \tkzTabInit[lgt=3,espcl=5]{ $x$/1,$f''(x)$/1,$f'$/3,$f$/3 }%
- { $a$ , $d$ ,$e$}
- \tkzTabLine{ z,+ ,z,- ,z }
- \tkzTabVar {-/\va ,+/\vd , -/ \ve}
- \tkzTabVal[draw,remember=vb]{1}{2}{0.333}{b}{$1$}
- \tkzTabVal[draw,remember=vc]{1}{2}{0.666}{c}{$2$}
- \tkzTabVar{-/$-\infty$ ,R/ , +/ $+\infty$}
- \tkzTabVal[draw]{1}{3}{0.5}{}{$0$}
- \draw[opacity=0.5,fill=red!40] (vb) circle(3ex);
- \draw[opacity=0.5,fill=blue!40] (vc) circle(3ex);
-\end{tikzpicture}
-\end{document}
-
-% latin1
-% pdflatex
-% Alain Matthes \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/tkz-tab/tkz-tab.sty b/Master/texmf-dist/tex/latex/tkz-tab/tkz-tab.sty
index 47eb933d973..05aa18acb34 100644
--- a/Master/texmf-dist/tex/latex/tkz-tab/tkz-tab.sty
+++ b/Master/texmf-dist/tex/latex/tkz-tab/tkz-tab.sty
@@ -1,4 +1,3 @@
-% $Id: tkz-tab.sty 2009-02-22 12h22 alain matthes $
% Copyright (C) 2009 Alain Matthes
%
% This file may be distributed and/or modified
@@ -27,7 +26,7 @@
%% Objet : Création de tableaux (signes et variations)
%<----------------------------------------------------------------------------->
\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{tkz-tab}[2011/01/25 v1.3c variations (ctan version) ]
+\ProvidesPackage{tkz-tab}[2011/04/17 v1.4c variations (ctan version) ]
%<----------------------------------------------------------------------------->
\RequirePackage{etex}
\RequirePackage{ifthen}
@@ -38,14 +37,15 @@
%<------------------------------ Initialisation ----------------------------->
%<------------------------------ Styles ----------------------------->
+%<------------------------------ Colors ----------------------------->
\def\tkzTabDefaultWritingColor{black}
\def\tkzTabDefaultBackgroundColor{white}
\def\tkzTabDefaultLineWidth{0.4pt}
\def\tkzTabDefaultArrowStyle{latex'}
\def\tkzTabDefaultSep{2pt}
+\def\cmdTAB@backgroundcolor{white}
+\def\cmdTAB@writecolor{black}
\def\cmdTAB@TTS@doubledistance{1pt}
-\def\cmdTAB@backgroundcolor{fondpaille}
-\def\cmdTAB@writecolor{Maroon}
\def\cmdTAB@TG@hcolor{gray}
\let\cmdTAB@TG@patterncolor\cmdTAB@writecolor
\def\cmdTAB@TG@patternstyle{north west lines}
@@ -53,7 +53,7 @@
\let\cmdTAB@tbs@colorT\cmdTAB@backgroundcolor
\let\cmdTAB@VA@color\cmdTAB@writecolor
\let\cmdTAB@arrowcolor\cmdTAB@writecolor
-
+%<-------------------------------------------------------------------------->
\tikzset{node style/.style = {inner sep = \tkzTabDefaultSep,
outer sep = \tkzTabDefaultSep,
fill = \tkzTabDefaultBackgroundColor}}
@@ -66,7 +66,7 @@
\tikzset{on double/.style = {fill = \tkzTabDefaultBackgroundColor}}
\tikzset{tan style/.style = {> = \tkzTabDefaultArrowStyle,
->,
- color = \tkzTabDefaultBackgroundColor}}
+ color = \tkzTabDefaultWritingColor}}
\tikzset{arrow style/.style = {\tkzTabDefaultWritingColor,
->,
> = \tkzTabDefaultArrowStyle,
@@ -115,18 +115,18 @@
\presetkeys [TAB] {TTC} {color = black,
backgroundcolor = white}{}
\newcommand*{\tkzTabColors}[1][]{%
-\setkeys[TAB]{TTC}{#1}
+\setkeys[TAB]{TTC}{#1}
\let\tkzTabDefaultWritingColor\cmdTAB@TTC@color
\let\tkzTabDefaultBackgroundColor\cmdTAB@TTC@backgroundcolor
-\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}}
-\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}}
-\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}}
-\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}}
\let\cmdTAB@backgroundcolor\cmdTAB@TTC@backgroundcolor
-\let\cmdTAB@writecolor\cmdTAB@TTC@color
+\let\cmdTAB@writecolor\cmdTAB@TTC@color
\let\cmdTAB@doublecolor\cmdTAB@TTC@backgroundcolor
\let\cmdTAB@patterncolor\cmdTAB@TTC@color
\let\cmdTAB@tcolor\cmdTAB@TTC@color
+\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}}
+\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}}
}
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
@@ -331,8 +331,11 @@
\path (\tkz@tab@dx,\tkz@tab@dy) coordinate(F\thetkz@cnt@temp);}%
%
%<--------------------- Colorisation du fond ------------------------------>
-%\clip (T00) rectangle (T2\maxtkz@cnt@lg);
-\ifTAB@tbs@color
+\tikzset{fondC/.style={fill = \cmdTAB@tbs@colorC}}
+\tikzset{fondL/.style={fill = \cmdTAB@tbs@colorL}}
+\tikzset{fondT/.style={fill = \cmdTAB@tbs@colorT}}
+\tikzset{fondV/.style={fill = \cmdTAB@tbs@colorV}}
+\ifTAB@tbs@color
\draw[fondC] (T01) rectangle (T1\maxtkz@cnt@lg);
\draw[fondL] (T11) rectangle (T20);
\draw[fondT] (T11) rectangle (T2\maxtkz@cnt@lg);
@@ -516,7 +519,7 @@
%<--------------------------------------------------------------------------->
\define@boolkey[TAB]{VA}{help}[true]{}
\define@cmdkey[TAB]{VA}{color}{}
-\presetkeys[TAB]{VA}{color = black,
+\presetkeys[TAB]{VA}{color = \tkzTabDefaultWritingColor,
help = false}{}
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabVar}[2][]{%
@@ -879,10 +882,10 @@
% 5----> image
\define@cmdkey [TAB] {TA} {pos}[below]{}
\define@cmdkey [TAB] {TA} {color}{}
-\define@boolkey [TAB] {TA} {draw}[true]{}
+\define@boolkey[TAB] {TA} {draw}[true]{}
\define@cmdkey [TAB] {TA} {remember}{}
\presetkeys [TAB] {TA} {draw = false,
- color = black,
+ color = \tkzTabDefaultWritingColor,
pos = above,
remember = lastval}{}
%<--------------------------------------------------------------------------->
@@ -899,9 +902,7 @@
\path coordinate (\cmdTAB@TA@remember) at (tgt);
\draw[tan style] (tgt) -- ++(.75,0);
\draw[tan style] (tgt) -- ++(-.75,0);
-\ifTAB@TA@draw%
- \draw[from style] (N#41) to (tgt);
-\fi
+\ifTAB@TA@draw \draw[from style] (N#41) to (tgt); \fi
}%
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
@@ -918,9 +919,7 @@
\path coordinate (\cmdTAB@TA@remember) at (tgt);
\draw[arrow style] (tgt) -- ++(.75,0);
\draw[arrow style] (tgt) -- ++(-.75,0);
- \ifTAB@TA@draw
- \draw[from style] (#4) -- (tgt);
- \fi
+ \ifTAB@TA@draw \draw[from style] (#4) -- (tgt); \fi
}%
%<--------------------------------------------------------------------------->
%<---------------------- dérivée droite gauche ------------------------------>