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authorKarl Berry <karl@freefriends.org>2009-03-02 17:12:31 +0000
committerKarl Berry <karl@freefriends.org>2009-03-02 17:12:31 +0000
commit86350e092bc3d5102158f1108a9877dfdd758376 (patch)
tree26c851f694a2fce482c1bb44a9322fe7739ff2b9 /Master/texmf-dist/doc/latex/tkz-tab
parent19fea6b94da44b2a4ba7a3f301c8c9bf453cfe39 (diff)
new tikz package tkz-tab
git-svn-id: svn://tug.org/texlive/trunk@12287 c570f23f-e606-0410-a88d-b1316a301751
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-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-adapt.tex517
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex451
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex181
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex192
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex103
-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-sign.tex292
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-slope.tex39
-rw-r--r--Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex172
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+% 23 / 02 /2009 v1.0c TKZdoc-tab-adapt
+\section{Personnalisation des tableaux}\label{pers}
+
+\subsection{\texttt{\textcolor{red}{help}} : option commune aux principales macros}
+
+\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{tikzpicture}
+ \tkzTabInit[deltacl=1,espcl=8,help]%
+ {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}%
+ {$0$,$+\infty$}%
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+\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{tikzpicture}
+ \tkzTabInit[deltacl=1,espcl=8]%
+ {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/2}%
+ {$0$,$+\infty$}%
+ \tkzTabLine[help]{,,}%
+% \tkzTabVar {D-/ $-\infty$, +/$+\infty$ }
+ \end{tikzpicture}
+\end{tkzexample}
+
+\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{tikzpicture}
+ \tkzTabInit[deltacl=1,espcl=8]%
+ {$x$/1,Signe\\ de $\dfrac{1}{x}$/1.5/1.5,Variation\\ de $\ln$/1.5}%
+ {$0$,$+\infty$}%
+ \tkzTabLine{d,+,}%
+ \tkzTabVar [help]{D-/ $-\infty$, +/$+\infty$ }
+ \end{tikzpicture}
+\end{tkzexample}
+
+Voici un exemple plus complexe
+
+\begin{tkzexample}[very small]
+ \begin{tikzpicture}
+ \tkzTabInit
+ {$x$ /1,
+ $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5,
+ ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
+ {$-\infty$ ,$0$ , $+\infty$}%
+ \tkzTabLine{t,-,d,-,t}
+ \tkzTabVar[help]{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }%
+ \end{tikzpicture}
+\end{tkzexample}
+
+ce qui donne
+\begin{tkzexample}[very small]
+ \begin{tikzpicture}
+ \tkzTabInit
+ {$x$ /1,
+ $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5,
+ ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
+ {$-\infty$ ,$0$ , $+\infty$}%
+ \tkzTabLine{t,-,d,-,t}
+ \tkzTabVar{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }%
+ \end{tikzpicture}
+\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}
+
+La macro \tkzname{tkzTabInit} définit les principaux \tkzname{nodes}. Ce sont les arguments de cette macro qui déterminent le nombre de nodes.
+
+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{tikzpicture}
+ \tkzTabInit[color=false,espcl=4,lgt=3]{%
+ \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F0$}} / 1,%
+ \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F1$}} / 1,%
+ \colorbox{red}{\textcolor{white}{$\scriptscriptstyle F2$}} / 1}%
+ { , }%
+ \foreach \ligne in {0,...,3}{%
+ \foreach \colonne in {0,1,2}{%
+ \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}}
+ \draw (T00) node[above right=4pt] {\scriptsize T00};
+ \draw (T01) node[above right=4pt] {\scriptsize T01};
+ \draw (T02) node[above right=4pt] {\scriptsize T02};
+ \draw (T03) node[above right=4pt] {\scriptsize T03};
+ \draw (T20) node[above right=4pt] {\scriptsize T20};
+ \draw (T21) node[above right=4pt] {\scriptsize T21};
+ \draw (T22) node[above right=4pt] {\scriptsize T22};
+ \draw (T23) node[above right=4pt] {\scriptsize T23};
+ \draw (T10) node[above right=4pt] {\scriptsize T10};
+ \draw (T13) node[above right=4pt] {\scriptsize T13};
+ \draw (T11) node[above right=3pt] {\scriptsize T11};
+ \draw (T12) node[above right=3pt] {\scriptsize T12};
+ \tikzset{bluesty/.style={fill=blue,<-,>=latex,shorten <=2pt}}
+ \draw[bluesty] (T20) -- +(2,0) node[right,blue]{ligne $0$};
+ \draw[bluesty] (T21) -- +(2,0) node[right,blue]{ligne $1$};
+ \draw[bluesty] (T22) -- +(2,0) node[right,blue]{ligne $2$};
+ \draw[bluesty] (T23) -- +(2,0) node[right,blue]{ligne $3$};
+ \draw[bluesty] (T03) -- +(0,-2) node[midway,above,sloped,blue]{colonne $0$};
+ \draw[bluesty] (T13) -- +(0,-2) node[midway,above,sloped,blue]{colonne $1$};
+ \draw[bluesty] (T23) -- +(0,-2) node[midway,above,sloped,blue]{colonne $2$};
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+Ainsi la structure principale de ce tableau possède exactement trois filets verticaux et quatre horizontaux. Soient \tkzname{12} points principaux définis par les intersections et trois nodes $F0$, $F1$ et $F2$.
+
+\subsubsection{La structure interne}
+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{tikzpicture}
+ \tkzTabInit[color=false,espcl=4,lgt=3]{%
+ \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F0$}} / 1,
+ \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F1$}} / 1,
+ \colorbox{red} {\textcolor{white}{$\scriptscriptstyle F2$}} / 1}{%
+ \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L1$}},
+ \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L2$}},
+ \colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L3$}}}%
+ \foreach \ligne in {0,...,3}{%
+ \foreach \colonne in {0,1,2}{%
+ \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}}
+ \foreach \colonne in {1,2,3}{%
+ \draw[fill=red] (N\colonne 0) circle(2pt)%
+ node[above,red] {\scriptsize N{\colonne 0}};}
+ \foreach \ligne in {1,2,3}{%
+ \foreach \colonne in {1,2,3}{%
+ \draw[fill=red] (N\colonne\ligne) circle(2pt)%
+ node[above,red] {\scriptsize N\colonne\ligne};}}
+ \foreach \ligne in {0,1,2,3}{%
+ \foreach \colonne in {1,2}{%
+ \draw[fill=green] (M\colonne\ligne) circle(2pt)
+ node[below right,green] {\scriptsize M\colonne\ligne};}}
+ \tikzset{redsty/.style={fill=red,<-,>=latex,shorten <=2pt}}
+ \draw[redsty] (T20) -- +(2,0) node[right,red]{ligne $0$};
+ \draw[redsty] (T21) -- +(2,0) node[right,red]{ligne $1$};
+ \draw[redsty] (T22) -- +(2,0) node[right,red]{ligne $2$};
+ \draw[redsty] (T23) -- +(2,0) node[right,red]{ligne $3$};
+ \draw[redsty] (N13) -- +(0,-2) node[midway,above,sloped,red]{colonne $1$};
+ \draw[redsty] (N23) -- +(0,-2) node[midway,above,sloped,red]{colonne $2$};
+ \draw[redsty] (N33) -- +(0,-2) node[midway,above,sloped,red]{colonne $3$};
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+\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{tikzpicture}
+ \tkzTabInit
+ {$x$ /1,
+ $\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5,
+ ${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
+ {$-\infty$ ,$0$ , $+\infty$}%
+ \tkzTabLine[help]{t , - , d , - , t}
+ \tkzTabVar[help]{ + / $1$ ,-CD+ / $0$ / $+\infty$ , - / $1$ }%
+ \end{tikzpicture}
+\end{tkzexample}
+\subsubsection{Conclusion}
+\begin{tikzpicture}
+
+\tkzTabInit[color=false,espcl=4,lgt=3,deltacl=1]{%
+\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F0$}} / 1,
+\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F1$}} / 2,
+\colorbox{red}{\textcolor{white} {$\scriptscriptstyle F2$}} / 2}{%
+\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L1$}} ,
+\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L2$}} ,
+\colorbox{blue}{\textcolor{white}{$\scriptscriptstyle L3$}} }
+\foreach \ligne in {0,...,3}{%
+ \foreach \colonne in {0,1,2}{%
+ \draw[fill=blue] (T\colonne\ligne) circle(2pt) ;}}
+\draw (T00) node[left = 4pt] {\scriptsize T00};
+\draw (T01) node[left = 4pt] {\scriptsize T01};
+\draw (T02) node[left = 4pt] {\scriptsize T02};
+\draw (T03) node[left = 4pt] {\scriptsize T03};
+\draw (T20) node[right = 4pt] {\scriptsize T20};
+\draw (T21) node[right = 4pt] {\scriptsize T21};
+\draw (T22) node[right = 4pt] {\scriptsize T22};
+\draw (T23) node[right = 4pt] {\scriptsize T23};
+\draw (T10) node[above = 4pt] {\scriptsize T10};
+\draw (T13) node[below = 4pt] {\scriptsize T13};
+\draw (T11) node[above left= 3pt] {\scriptsize T11};
+\draw (T12) node[above left= 3pt] {\scriptsize T12};
+ \foreach \colonne in {1,2,3}
+ {\draw[fill=red] (N\colonne 0) circle(2pt)%
+ node[above right] {\scriptsize N{\colonne 0}};}
+\foreach \ligne in {1,2,3}
+{ \foreach \colonne in {1,2,3}
+ {\draw[fill=red] (N\colonne\ligne) circle(2pt)%
+ node[below right] {\scriptsize N\colonne\ligne};}}
+\foreach \ligne in {0,1,2,3}
+{ \foreach \colonne in {1,2}
+ {\draw[fill=green] (M\colonne\ligne) circle(2pt)%
+ node[below right] {\scriptsize M\colonne\ligne};}}
+\foreach \colonne in {1,2}
+ {\path (M\colonne 1) to (M\colonne 2)%
+ node[midway](S\colonne 1) {};
+ \draw[fill=yellow] (S\colonne 1) circle(2pt)%
+ node[below right] {\scriptsize S\colonne 1};}
+\foreach \colonne in {1,2,3}
+ {\path (N\colonne 1) to (N\colonne 2)%
+ node[midway](Z\colonne 1) {};
+ \draw[fill=yellow] (Z\colonne 1) circle(2pt)%
+ node[below right] {\scriptsize Z\colonne 1};}
+\end{tikzpicture}
+
+\bigskip
+\begin{tabular}{ccllc}
+\hline
+type & notation & repère & conditions & utilisation\\
+\hline
+\tikz \draw[fill=red] (0,0) rectangle (0.3,0.3) node(X) {}; & Fj & ligne & $0\leq j\leq p$ & expressions,formules \\
+\hline
+\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
+\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
+\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
+\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
+\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
+\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
+\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{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{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{scale}} permet d'ajuster la taille d'un tableau}
+\index{scale}
+
+
+\begin{tkzexample}[width=7cm,very small]
+\begin{tikzpicture}[scale=.8]
+ \tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2}
+ { $0$ , $+\infty$ }
+\end{tikzpicture}\end{tkzexample}
+
+Il est aussi possible d'utiliser \tkzname{xscale} et \tkzname{yscale}.
+
+\begin{tkzexample}[width=7cm,very small]
+\begin{tikzpicture}[xscale=.8,yscale=1.5]
+ \tkzTabInit[lgt=3]{ $x$ / 1 , $\ln(x)$ /2}
+ { $0$ , $+\infty$ }
+\end{tikzpicture}\end{tkzexample}
+
+
+\subsection{Exemples d'utilisation}
+\subsubsection{Une croix sur un tableau}
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tkzTab{$x$ / 1, $f'(x)$ / 1.5, $f(x)$ / 3}%
+ {$-5$ , $-2$ , $1$ , $+\infty$}%
+ {d,+,0,-,0,+,}
+ { D-/ / $-\infty$ ,%
+ +/ $\dfrac{2}{3}$ / ,%
+ -/ $0$ / ,%
+ +/ $+\infty$ / }%
+ \draw[line width=2pt,red] (T00) to (T23);
+ \draw[line width=2pt,red] (T03) to (T20);
+\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{tikzpicture}
+\tkzTabInit%
+ {$x$ /1,
+ $x^2-3x+2$ /1,
+ $(x-\E)\ln x$ /1}
+ {$0$ , $\E$ , $+\infty$}
+ \draw[red] (T12) -- (T23);
+ \draw[red] (T13) -- (T22);
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{Mise en évidence de signes}
+\medskip
+On peut ainsi placer des signes sur la seconde ligne qui n'a pas été mise en forme par \tkzname{tkzTabLine} mais en connaissant un peu la programmation à l'aide de \TIKZ.
+
+ \begin{tkzexample}[code only]
+ \path (M11)--(M12) node[midway,draw,fill=red!10] {-};
+ \path (M31)--(M32) node[midway,draw,fill=blue!10] {+};
+ \end{tkzexample}
+
+ \begin{tkzexample}[very small]
+ \begin{tikzpicture}
+ \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+ \path (M11)--(M12) node[midway,draw,fill=red!10] {-};
+ \path (M31)--(M32) node[midway,draw,fill=blue!10] {+};
+ \end{tikzpicture}
+ \end{tkzexample}
+
+mais on peut aussi utiliser un node de la structure secondaire pour cela on utilise
+\begin{tkzexample}[]
+ \tkzname{tkzTabLine}[help] \end{tkzexample}
+
+\begin{tikzpicture}
+ \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+ \tkzTabLine[help]{,,,,,,}
+\end{tikzpicture}
+
+Ensuite il reste à créer des nodes
+\begin{tkzexample}[code only]
+ \node[draw,fill=red!10] at (S11) {-};
+ \node[draw,fill=red!10] at (S31) {+}; \end{tkzexample}
+
+
+
+\begin{tkzexample}[very small]
+\begin{tikzpicture}
+ \tkzTabInit{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+ \tkzTabLine{,,,,,,}
+ \node[draw,fill=red!10] at (S11) {-};
+ \node[draw,fill=red!10] at (S31) {+};
+\end{tikzpicture}
+\end{tkzexample}
+
+\subsubsection{Structure principale : hachurer une zone}
+
+On veut par exemple hachurer une zone mais vous ne connaissez pas la notation des nodes. Il suffit de passer \tkzname{help} en option. On obtient ainsi l'emplacement et les noms des nodes.
+
+\begin{tkzexample}[code only]
+ \begin{tikzpicture}
+ \tkzTabInit[help,deltacl=1]{$x$ / 1, $\dfrac{2x}{x^2-1}$ /1,$\ln{(x^2-1)}$/1}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+\medskip
+On peut hachurer un rectangle par
+
+ \begin{tkzexample}[code only]
+ \pattern[pattern=north west lines] (N21) rectangle (N33);
+ \end{tkzexample}
+
+
+\begin{tkzexample}[very small]
+\begin{tikzpicture}
+ \tkzTabInit{$x$ / 1 , $\ln{(x^2-1)}$/1}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+ \pattern[pattern=north west lines] (N21) rectangle (N32);
+\end{tikzpicture}
+\end{tkzexample}
+
+
+
+\subsubsection{Mise en évidence de certaines zones}
+
+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{tikzpicture}
+ \tkzTabInit[deltacl=1,lgt=3,espcl=2]%
+ {$x$ /1,$x^2-3x+2$ /1}%
+ {$-\infty$ , $1$ , $2$, $+\infty$}%
+ \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}
+
+\subsubsection{Mise en évidence de valeurs}
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+\tkzTab
+{$x$ /1,
+$\dfrac{-1}{x^2}\ {\E}^{\left(\dfrac{1}{x}\right)}$ /1.5,
+${\E}^{\left(\dfrac{1}{x}\right)}$ /2}%
+{$-\infty$ ,$0$ , $+\infty$}%
+{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}
+
+\subsubsection{Mise en évidence de limites}
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=8]%
+ {$x$/1 , Variation\\ de $\ln$/2}%
+ {$0$,$+\infty$}%
+ \tkzTabVar {D-/ $-\infty$, +/$+\infty$ }
+ \draw[opacity=.3,fill=red] (FR11) circle (10pt);
+ \draw[opacity=.3,fill=red] (FL21) circle (10pt);
+ \end{tikzpicture}\end{tkzexample}
+
+
+\subsubsection{Décoration}
+Il est nécessaire de charger une librairie de \TIKZ\footnote{pgf/tikz version 2.00} qui permet des actions de décoration. \NameLib{decorations.pathreplacing}
+
+\begin{tkzexample}[code only]
+ \usetikzlibrary{decorations.pathreplacing}
+ \ldots
+ \draw[decoration={brace,amplitude=12pt},
+ decorate,line width=2pt,red] (T10) -- (T20);\end{tkzexample}
+
+
+\begin{tkzexample}[very small]
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=3,espcl=1.5]
+ {$x$ /1,
+ $x^2-3x+2$ /1,
+ $(x-\E)\ln x$ /1}%
+ {$0$,$1$,$2$,$\E$,$+\infty$}%
+ \draw[fill=Orange,opacity=.3] (N10) rectangle (N53.west);
+ \draw[decoration={brace,amplitude=12pt},
+ decorate,line width=2pt,red] (T10) -- (T20);
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+\subsubsection{Avec de la couleur}
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tkzTabInit[color,colorC = blue!30,colorL = orange!50,
+ colorT = green!30,colorV = red!50,espcl=8]
+ {$x$/1,Signe\\ de $\dfrac{1}{x}$ /1.5,Variation\\ de $\ln$ /3}
+ {$0$,$+\infty$}%
+ \tkzTabLine{d,+,}%
+ \tkzTabVar[color=red]{D-/$-\infty$ , +/$+\infty$}
+ \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}
+
+
+\subsubsection{Écrire dans un tableau}
+
+Aucune restriction au niveau de l'écriture, l'exemple suivant :
+
+\medskip
+\begin{tikzpicture}
+\tkzTabInit[lgt=5,espcl=3]%
+ { $x$ /1,%
+ Il est parfois possible d'obtenir les variations d'une fonction sans déterminer sa dérivée /2,%
+ $\ln (x) +x$ /1%
+ }%
+ { $0$ , $1$ , $+\infty$ }%
+\end{tikzpicture}
+
+\begin{tkzexample}[code only]
+\begin{tikzpicture}
+\tkzTabInit[lgt=3,espcl=4]%
+ { $x$ /1,%
+ Il est parfois ... /2,%
+ $\ln (x) +x$ /1%
+ }%
+ { $0$ , $1$ , $+\infty$ }%
+\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{tikzpicture}
+ \tkzTabInit[espcl=0.5]{ $x$/1,$f(x)$ /1}%
+ {1,,2,,3,,4,,5,,6}%
+ \tkzTabLine{5,,,,10,,,,15,,,,20,,,,25,,,,30}%
+ \makeatletter
+ \foreach \x in {1,...,5}{%
+ \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x}
+ \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center);}
+ \makeatother
+ \begin{scope}[->,red,line width=1pt,>=latex']
+ \draw (M20) to [bend left] node[above]{$\times 3$} (7.5,0);
+ \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}
+\endinput
+
+
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex
new file mode 100644
index 00000000000..082bd65f208
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-examples.tex
@@ -0,0 +1,451 @@
+% 24 / 02 /2009 v1.00c TKZdoc-tab-examples
+\section{Galerie}
+\subsection{Tableaux de signes}
+L'exemple suivant provient de la documentation de l'excellent \tkzname{tablor.sty}.
+Voici le code complet
+
+\medskip
+\begin{center}
+\begin{tkzexample}[code only]
+\documentclass{article}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{ifthen,fp}
+\usepackage{tikz,tkz-tab}
+\usepackage{amsmath,amssymb}
+\usepackage[frenchb]{babel}
+
+\begin{document}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=3]
+ {$x$ /1,
+ Signe de\\ $-2+3$ /1.5,
+ Signe de\\ $-x+5$ /1.5,
+ Signe de\\ $(-2x+3)(-x+5)$ /1.5 }%
+ {$-\infty$,$\dfrac{3}{2}$,$5$,$+\infty$}%
+ \tkzTabLine { ,+,z,-,t,-, }
+ \tkzTabLine { ,+,t,+,z,-, }
+ \tkzTabLine { ,+,z,-,z,+, }
+\end{tikzpicture}
+\end{document}\end{tkzexample}
+\end{center}
+
+\begin{tikzpicture}
+ \tkzTabInit[lgt=3]
+ {$x$ /1,
+ Signe de\\ $-2+3$ /1.5,
+ Signe de\\ $-x+5$ /1.5,
+ Signe de\\ $(-2x+3)(-x+5)$ /1.5 }%
+ {$-\infty$,$\dfrac{3}{2}$,$5$,$+\infty$}%
+ \tkzTabLine { ,+,z,-,t,-, }
+ \tkzTabLine { ,+,t,+,z,-, }
+ \tkzTabLine { ,+,z,-,z,+, }
+\end{tikzpicture}
+
+
+Quelques remarques sur ce code. Le codage utilisé n'a pas d'importance, si vous préférez \tkzname{latin1}, alors remplacez \tkzname{utf8} par \tkzname{latin1}, bien évidemment \tkzname{tkz-tab} est essentielle. Si vous utilisez \tkzname{fourier} alors vous pouvez supprimer \tkzcname{usepackage[T1]\{fontenc\}} et \tkzcname{usepackage\{ammsymb\}}.
+
+\subsection{Variations de fonctions}
+ \subsubsection{Variation d'une fonction rationnelle}
+
+ Cet exemple a été cité dans la documentation du package \tkzname{tabvar}
+
+ Étude de la fonction $f~:~ x \longmapsto \frac{x^3+2}{2x}$ sur $]-\infty~;~+\infty[$
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tkzTabInit[]
+ {$x$ /1, $f'(x)$ /1,$f$ /3}
+ {$-\infty$ , $0$ , $1$ , $+\infty$}
+\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}
+
+
+\subsubsection{Variation d'une fonction irrationnelle}
+
+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{tikzpicture}
+ \tkzTabInit[]
+ {$x$ /1, $f'(x)$ /1,$f$ /3}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+\tkzTabLine{,+,d,h,d,+, }
+\tkzTabSlope{ 3/ /+\infty}
+\tkzTabVar{-/$1$ ,+DH/$+\infty$ ,-/$0$, +/$1$}
+\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{tikzpicture}
+ \tkzTabInit[]
+ {$x$ /1, $f'(x)$ /1,$f$ /3}
+ {$-\infty$ , $-1$ , $1$ , $+\infty$}
+\tkzTabLine{,+,d,0,d,+, }
+\tkzTabSlope{ 3/ /+\infty}
+\tkzTabVar{-/$1$ ,+D-/$+\infty$/$0$ ,-/$0$, +/$1$}
+\end{tikzpicture}\end{tkzexample}
+
+
+\subsection{Fonctions trigonométriques}
+\NameFonct{Fonctions trigonométriques}
+ \subsubsection{Variation de la fonction tangente}
+ \NameFonct{Fonction tangente}
+ Étude de la fonction $f~:~ x \longmapsto \tan{x}$ sur $[0~;\pi]$
+
+ \begin{tkzexample}[vbox]
+\begin{tikzpicture}
+\tkzTabInit[espcl=6]{$x$ / 1,Signe de\\f'(x)/1, Variations de\\ $f$ / 3}%
+ {$0$ ,$\frac{\pi}{2}$ , $\pi$}%
+\tkzTabLine{ ,+,d,+, }
+\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}
+
+\subsubsection{Variation de la fonction cosinus}
+ \NameFonct{Fonction cosinus}
+ Étude de la fonction $f~:~ x \longmapsto \cos{x}$ sur $[-\pi~;~+\pi]$
+
+ \begin{tkzexample}[vbox]
+\begin{tikzpicture}
+\tkzTabInit[espcl=6]{$x$ / 1,Signe de\\f'(x)/1, Variations de\\ $f$ / 3}%
+ {$0$ , $\pi$}%
+\tkzTabLine{ , + , }
+\tkzTabVar{+/$1$ , -/$-1$ }
+\tkzTabVal{1}{2}{0.5}{$\frac{\pi}{2}$}{$0$}
+\end{tikzpicture}\end{tkzexample}
+
+\subsection{Fonctions paramétrées et trigonométriques}
+\NameFonct{Fonctions paramétrées} \NameFonct{Fonctions trigonométriques}
+
+Étude sur $\left[0~;~\frac{\pi}{2}\right]$
+ \begin{equation*}
+\left\{%
+\begin{array}{l}
+ x(t) = \cos(3t)\\
+ y(t) = \sin(4t)
+\end{array}\right.
+\end{equation*}
+
+\begin{tkzexample}[vbox,very small]
+ \begin{tikzpicture}
+ \tkzTabInit[ lgt=3 , espcl=3]%
+ {$t$ /1,
+ Signe de\\ $x'(t)$ /1.5,
+ Variations de\\ $x$ /3,
+ Variations de\\ $y$ /3,
+ Signe de\\ $y'(t)$ /1.5}
+ {$0$ , $\frac{\pi}{8}$ , $\frac{\pi}{3}$ ,
+ $\frac{3\pi}{8}$ , $\frac{\pi}{2}$ }%
+ \tkzTabLine {z , - ,-3\sin\left(\frac{3\pi}{8}\right) , - , z , + ,%
+ 3\sin\left(\frac{\pi}{8}\right),+,3}
+ \tkzTabVar { +/$1$ , R/ , -/$-1$/ , R/ , +/$0$ }
+ \tkzTabIma{1}{3}{2}{$\cos\left(\frac{3\pi}{8}\right)$}
+ \tkzTabIma{3}{5}{4}{$-\cos\left(\frac{\pi}{8}\right)$}
+ \tkzTabVar { -/$0$ , +/$1$ , R/ , -/$-1$ , +/$0$ }
+ \tkzTabIma{2}{4}{3}{$\frac{-\sqrt{3}}{2}$}
+ \tkzTabLine {4 , + , z , - , -2 , - , z ,+,4}
+ \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.
+
+ Soit $f$ la fonction de variable réelle $x$, définie sur $\mathbf{R}$ par :
+ \[
+ f(x)=\E^x(\E^x+a)+b
+ \]
+ où $a$ et $b$ sont deux constantes réelles.
+
+ Les renseignements connus sur $f$ sont donnés dans le tableau de variation ci-dessous.
+
+ \medskip
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzTab[lgt=3,espcl=4]{$x$/1,Signe de $f'(x)$ /1,Variations de $f$ /2}%
+ {$-\infty$,$0$,$+\infty$}%
+ {,, z ,,}%
+ {+/ $-3$ ,
+ -/ ,
+ +/ }
+ \end{tikzpicture}
+ \end{center}
+
+ \medskip
+ \begin{enumerate}
+ \item Calculer $f'(x)$ en fonction de $a$ ($f'$ désigne la fonction dérivée de $f$).
+ \item \begin{enumerate}
+ \item déterminer $a$ et $b$ en vous aidant des informations contenues dans le
+ tableau ci-dessus.
+ \item Calculer $f(0)$ et calculer la limite de $f$ en $+\infty$.
+ \item Compléter, après l'avoir reproduit, le tableau de variations de $f$.
+ \end{enumerate}
+ \item Résoudre dans $\mathbf{R}$ l'équation
+ \[
+ \E^x(\E^x-2)-3=0
+ \]
+ (on pourra pose $X=\E^x$).
+ \item Résoudre dans $\mathbf{R}$ les inéquations :
+ \[
+ \E^x(\E^x-2)-3\geq -4
+ \]
+ \[
+ \E^x(\E^x-2)-3 \leq 0
+ \]
+ (On utilisera le tableau de variations donné ci-dessus et en particulier les
+ informations obtenues en 2.b)
+ \end{enumerate}
+
+\begin{tkzexample}[code only,very small]
+ Soit $f$ la fonction de variable réelle $x$, définie sur $\mathbf{R}$ par :
+ \[
+ f(x)=\E^x(\E^x+a)+b
+ \]
+ où $a$ et $b$ sont deux constantes réelles.
+
+ Les renseignements connus sur $f$ sont donnés dans le tableau de variation ci-dessous.
+
+ \medskip
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzTab[lgt=3,espcl=4]{$x$/1,Signe de $f'(x)$ /1,Variations de $f$ /2}%
+ {$-\infty$,$0$,$+\infty$}%
+ {,, z ,,}%
+ {+/ $-3$ ,
+ -/ ,
+ +/ }
+ \end{tikzpicture}
+ \end{center}
+
+ \medskip
+ \begin{enumerate}
+ \item Calculer $f'(x)$ en fonction de $a$ ($f'$ désigne la fonction dérivée de $f$).
+ \item \begin{enumerate}
+ \item déterminer $a$ et $b$ en vous aidant des informations contenues dans le
+ tableau ci-dessus.
+ \item Calculer $f(0)$ et calculer la limite de $f$ en $+\infty$.
+ \item Compléter, après l'avoir reproduit, le tableau de variations de $f$.
+ \end{enumerate}
+ \item Résoudre dans $\mathbf{R}$ l'équation
+ \[
+ \E^x(\E^x-2)-3=0
+ \]
+ (on pourra pose $X=\E^x$).
+ \item Résoudre dans $\mathbf{R}$ les inéquations :
+ \[
+ \E^x(\E^x-2)-3\geq -4
+ \]
+ \[
+ \E^x(\E^x-2)-3 \leq 0
+ \]
+ (On utilisera le tableau de variations donné ci-dessus et en particulier les
+ informations obtenues en 2.b)
+ \end{enumerate}
+\end{tkzexample}
+
+
+
+
+\vfill\newpage\null
+\subsection{Baccalauréat}
+\index{Baccalauréat}
+ On considère la fonction $f$ définie sur $]-\infty~;~0[$ :
+
+ \[
+ f(x)=ax+b+\ln(-2x)
+ \]
+ où $a$ et $b$ sont deux réels donnés.
+
+ \begin{enumerate}
+ \item Calculer $f'(x)$ en fonction de $a$ et $b$.
+ \item Le tableau ci-dessous représente les variations d'une fonction particulière $f$.
+
+ \medskip
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzTab[]%
+ {$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/1.5}%
+ {$-\infty$,$\dfrac{-1}{2}$,$0$}%
+ {,+,$0$,-,}%
+ {-//,
+ +/$2$/,
+ -//}
+ \end{tikzpicture}
+ \end{center}
+
+ \medskip
+ \begin{enumerate}
+ \item En utilisant les données du tableau déterminer les valeurs $a$ et $b$ qui caractérisent
+ cette fonction.
+ \item Pour cette fonction particulière $f$, déterminer
+ $\displaystyle \lim_{x \xrightarrow[x<0]{} 0} f(x)$.
+ \item Montrer que, dans l'intervalle $\Big[\dfrac{-1}{2}~;~0,01\Big]$, l'équation $f(x)=0$
+ admet une solution unique. En donner une valeur approchée à $10^{-3}$ près.
+ \end{enumerate}
+ \end{enumerate}
+
+\begin{tkzexample}[very small,code only]
+ On considère la fonction $f$ définie sur $]-\infty~;~0[$ :
+
+ \[
+ f(x)=ax+b+\ln(-2x)
+ \]
+ où $a$ et $b$ sont deux réels donnés.
+
+ \begin{enumerate}
+ \item Calculer $f'(x)$ en fonction de $a$ et $b$.
+ \item Le tableau ci-dessous représente les variations d'une fonction particulière $f$.
+
+ \medskip
+ \begin{center}
+ \begin{tikzpicture}
+ \tkzTab[]%
+ {$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/1.5}%
+ {$-\infty$,$\dfrac{-1}{2}$,$0$}%
+ {,+,$0$,-,}%
+ {-//,
+ +/$2$/,
+ -//}
+ \end{tikzpicture}
+ \end{center}
+
+ \medskip
+ \begin{enumerate}
+ \item En utilisant les données du tableau déterminer les valeurs $a$ et $b$ qui caractérisent
+ cette fonction.
+ \item Pour cette fonction particulière $f$, déterminer
+ $\displaystyle \lim_{x \xrightarrow[x<0]{} 0} f(x)$.
+ \item Montrer que, dans l'intervalle $\Big[\dfrac{-1}{2}~;~0,01\Big]$, l'équation $f(x)=0$
+ admet une solution unique. En donner une valeur approchée à $10^{-3}$ près.
+ \end{enumerate}
+ \end{enumerate}
+\end{tkzexample}
+
+
+
+\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).
+
+\textbf{Le sujet :}
+
+{\parindent=0pt
+On considère une fonction $f$ de la variable $x$, dont on donne le tableau de variations :
+
+\begin{center}
+\begin{tikzpicture}
+\tkzTab[lgt=3]%
+{$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/2.5}
+{$-\infty$,$\dfrac{-1}{2}$,$1$,$+\infty$}
+{,-,$0$,+, ,-,}
+{+/ $1$ , -/$\dfrac{-1}{3}$ , +V+/ $+\infty$ /$+\infty$ , -/$1$}
+\end{tikzpicture}
+\end{center}
+
+On appelle (C) la courbe représentative de $f$ dans un repère Le plan est muni d'un repère orthonormé $(O;\vec{\imath};\vec{\jmath})$ (unités graphiques 2 cm sur chaque axe)
+
+\vspace{6pt}
+\textbf{Première partie}
+
+En interprétant le tableau donné ci-dessus :%
+
+ \begin{enumerate}
+ \item Préciser l'ensemble de définition de $f$.
+ \item Placer dans le repère $(O;\vec{\imath};\vec{\jmath})$ :
+ \begin{enumerate}
+ \item l'asymptote horizontale (D);
+ \item l'asymptote verticale (D');
+ \item le point $A$ où la tangente à (C) est horizontale.
+ \end{enumerate}
+ \end{enumerate}
+
+\textbf{Seconde partie}
+
+On donne maintenant l'expression de $f$ :
+\[
+f(x)=1 + \dfrac{4}{(x-1)} + \dfrac{3}{(x-1)^2}
+\]
+\begin{enumerate}
+ \item Résoudre les équations $f(x)=0$ et $f(x)=1$.
+ \item Au moyen de votre calculatrice, remplir le tableau suivant
+ ( recopier ce tableau sur votre copie).
+\end{enumerate}
+\begin{tikzpicture}
+ \tkzTabInit[deltacl=1,espcl=1]{ $x$/1 , $f(x)$ /1}%
+ {-1,,{-0,75},,{0,5},,2,,3,,4}%
+ \tkzTabLine{,,,,,,,,,,,,,,,,,,,,}%
+ \makeatletter
+ \foreach \x in {1,...,5}
+ \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x}
+ \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center);
+\end{tikzpicture}
+}
+
+
+\begin{tkzexample}[code only,very small]
+On considère une fonction $f$ de la variable $x$, dont on donne le tableau de variations :
+
+\begin{center}
+\begin{tikzpicture}
+\tkzTab[]%
+{$x$/1.25,Signe de\\ $f'(x)$/1.5, Variations\\ de $f$/2.5}
+{$-\infty$,$\dfrac{-1}{2}$,$1$,$+\infty$}
+{,-,$0$,+, ,-,}
+{+/ $1$ , -/$\dfrac{-1}{3}$ , +V+/ $+\infty$ /$+\infty$ , -/$1$}
+\end{tikzpicture}
+\end{center}
+
+ \vspace{6pt}
+On appelle (C) la courbe représentative de $f$ dans un repère. Le plan est muni d'un repère%
+ orthonormal $(O;\vec{\imath};\vec{\jmath})$ (unités graphiques 2 cm sur chaque axe)%
+
+\textbf{Première partie}
+
+En interprétant le tableau donné ci-dessus :%
+
+ \begin{enumerate}
+ \item Préciser l'ensemble de définition de $f$.
+ \item Placer dans le repère $(O;\vec{\imath};\vec{\jmath})$ :
+ \begin{enumerate}
+ \item l'asymptote horizontale (D);
+ \item l'asymptote verticale (D');
+ \item le point $A$ où la tangente à (C) est horizontale.
+ \end{enumerate}
+ \end{enumerate}
+
+\textbf{Seconde partie}
+
+On donne maintenant l'expression de $f$ :
+\[
+f(x)=1 + \dfrac{4}{(x-1)} + \dfrac{3}{(x-1)^2}
+\]
+\begin{enumerate}
+ \item Résoudre les équations $f(x)=0$ et $f(x)=1$.
+ \item Au moyen de votre calculatrice, remplir le tableau suivant
+ ( recopier ce tableau sur votre copie).
+ \begin{tikzpicture}
+ \tkzTabInit[deltacl=1,espcl=1]{ $x$/1,$f(x)$ /1}%
+ {-1,,{-0,75},,{0,5},,2,,3,,4}%
+ \tkzTabLine{,,,,,,,,,,,,,,,,,,,,}%
+ \makeatletter
+ \foreach \x in {1,...,5}
+ \setcounter{tkz@cnt@pred}{\x}\addtocounter{tkz@cnt@pred}{\x}
+ \draw (N\thetkz@cnt@pred 0.center) to (N\thetkz@cnt@pred 2.center);
+ \end{tikzpicture}
+\end{enumerate}
+
+\vfill
+\end{tkzexample}
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex
new file mode 100644
index 00000000000..16e0c4319d6
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-image.tex
@@ -0,0 +1,181 @@
+% 20 / 02 /2009 v1.00c TKZdoc-tab-image
+\section{Ajout d'images \addbs{tkzTabIma} et \addbs{tkzTabImaFrom}}
+Ces macros permettent de placer une valeur sur une flèche de la ligne des variations. On ne peut placer une valeur que dans un intervalle où la fonction est \tkzname{monotone}, de plus l'image est celle d'un antécédent déjà défini dans la première ligne. La première macro est \tkzcname{tkzTabIma}.
+
+\subsection{Définition de \addbs{tkzTabIma}}
+
+\begin{NewMacroBox}{tkzTabIma}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}}
+
+\begin{tabular}{lllc}
+\hline
+\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 \\
+\IargName{tkzTabIma}{Image} & |no default| & valeur de l'image si nécessaire \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Ceci mérite quelques commentaires : Il s'agit de savoir sur quelle flèche, on va positionner l'image. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Image} est la valeur que l'on veut placer. \tkzname{Position} est un nombre entier qui est le rang de l'antécédent.}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabIma}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
+\IoptName{tkzTabIma}{remember}& |lastval|& définit un node personnalisé \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.}
+\end{NewMacroBox}
+
+\subsubsection{Ajout de valeurs intermédiaires à partir d'un antécédent donné}
+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{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}
+\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{tikzpicture}
+
+ \tkzTabInit[espcl=4]
+ { $x$ /1,
+ $f''(x)$ /1,
+ $f'$ /2,
+ Signe de\\ $f'(x)$ /2,
+ $f$ /3}%
+ { $0$ , $1$ , $\alpha$,$+\infty$ }%
+ \tkzTabLine {d , + , z , - , , - }%
+ \tkzTabVar
+ {- / $1$ ,
+ + / ,
+ R / ,
+ - / $-\infty$ }
+ \tkzTabIma[draw]{2}{4}{3}{$0$}
+ % ou bien \tkzTabVal[draw]{2}{4}{0.5}{}{0} obsolète
+ \tkzTabLine { , + , , + , z , - }%
+ \tkzTabVar
+ {- / $-\infty$ ,
+ R / ,
+ + / $1$ ,
+ - / $0$ }
+ \tkzTabIma[draw]{1}{3}{2}{$0$}
+ \end{tikzpicture}
+\end{tkzexample}
+
+
+\newpage
+\subsubsection{Fonctions paramétrées}
+\NameFonct{Fonctions paramétrées}
+
+\begin{tkzexample}[vbox,very small]
+ \begin{tikzpicture}
+ \tkzTabInit[ lgt=4, deltacl=1, espcl=2]%
+ {$t$ /1,
+ Signe de\\ $x'(t)$ /1.5,
+ Variations de\\ $x$ /3,
+ Variations de\\ $y$ /3,
+ Signe de\\ $y'(t)$ /1.5}
+ { $-\infty$ , $-4$ , $-1$ , $0$, $2$ , $+\infty$}%
+
+ \tkzTabLine { , - , z , + , d , + , z , - , d , - , }
+
+ \tkzTabVar {+/$1$ , -/$ \frac{8}{9}$ ,+D-/$+\infty$/$-\infty$ ,
+ +/$0$/ ,-D+ /$-\infty$/ $+\infty$ , -/$1$ / }
+
+ \tkzTabVar {+/$+\infty$ , R/ ,-D+/$-\infty$/$+\infty$ ,
+ -/$0$ ,R / , +/$+\infty$ }
+
+ \tkzTabIma{1}{3}{2}{$\frac{32}{3}$}
+ \tkzTabIma{4}{6}{5}{$\frac{16}{3}$}
+
+ \tkzTabLine{ , - , \frac{-64}{9} , - , d , - , z , + , \frac{44}{9} , + , }
+ \end{tikzpicture}
+\end{tkzexample}
+
+\subsection{Définition de \addbs{tkzTabImaFrom}}
+Cette macro ressemble à la précédente mais elle permet de placer une image relativement à une autre image ou relativement à un point quelconque du tableau auquel on a attribué un nom.
+
+\begin{NewMacroBox}{tkzTabImaFrom}{\oarg{local options}\{Début\}\{Fin\}\{From\}\{Image\}}
+
+\begin{tabular}{lllc}
+\hline
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\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
+\end{tabular}
+
+\medskip
+\noindent\emph{Comme pour \tkzcname{tkzTabVal}, \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Image} est la valeur que l'on veut placer. \tkzname{From} est le nom du node qui correspond à l'antécédent.}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabImaFrom}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
+\IoptName{tkzTabImaFrom}{remember}& |lastval|& définit un node personnalisé \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.}
+
+\end{NewMacroBox}
+
+\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{tikzpicture}
+\tkzTabInit[espcl=6]%
+ {$x$/1,$f'(x)$/1, $f(x)$/3}{$0$,$\sqrt\E$,$+\infty$}%
+ \tkzTabLine{d,+,0,+,}%
+ \tkzTabVar{D-/ $-\infty$, R/ , +/$0$ }
+ \tkzTabImaFrom[draw]{1}{3}{N21}{-5}
+ \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}
+\Iopt{tkzTabImaFrom}{draw}
+
+\subsubsection{Utilisation d'un point défini par l'utilisateur avec \texttt{\textcolor{red}{remember}}}
+
+\begin{tkzexample}[vbox, num,very small]
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=3,espcl=6]{ $x$/1, $f'(x)$/1, $f(x)$/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}{}{$0$}
+ \tkzTabImaFrom[draw]{1}{3}{vc}{$-1$}
+ \tkzTabImaFrom[draw]{1}{3}{vb}{$-2$}
+ \end{tikzpicture}
+\end{tkzexample}
+\Iopt{tkzTabImaFrom}{remember}
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex
new file mode 100644
index 00000000000..a88ff816a16
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-init.tex
@@ -0,0 +1,192 @@
+% 21 / 02 /2009 v1.00c TKZdoc-tab-init 18 h
+\section{Initialisation d'un tableau : \addbs{tkzTabInit} }
+\subsection{Définition}
+
+\begin{NewMacroBox}{tkzTabinit}%
+{\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
+\end{tabular}
+
+\medskip
+\noindent\emph{Les arguments obligatoires de cette macro sont deux listes dont les éléments sont séparés par des virgules. La première contient $p$ éléments qui définissent $p$ lignes dans le tableau. La seconde liste contient $n$ éléments qui définissent $n$ antécédents. À un antécédent correspond une colonne.}
+
+ \begin{itemize}
+
+\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.}
+ \end{itemize}
+\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
+\end{tabular}
+
+\medskip
+\noindent\emph{Le tableau ci-dessus décrit les options actuelles de la macro. Les trois premières sont essentielles pour l'esthétisme de votre tableau, ainsi que pour ses dimensions finales. Il reste cependant une possibilité car on peut encore jouer avec les options de l'environnement \tkzname{tikzpicture} qui sont \tkzname{scale}, \tkzname{xscale} et \tkzname{yscale}.}
+\end{NewMacroBox}
+
+\footnotetext[3]{expression entre accolades.}
+\footnotetext[4]{Voir la documentation du package \tkzname{numprint}.}
+\footnotetext[5]{Il est préférable de charger le package \tkzname{xcolor} avec des options comme \tkzname{usenames}, \tkzname{dvipsnames} ou encore \tkzname{pdftex}.}
+\NamePack{xcolor}
+\subsection{Utilisation des arguments}
+\subsubsection{Tableau simple}
+\medskip
+Exemple : \begin{tkzexample}[code only]\tikz \tkzTabInit{$x$ /.8 , $f(x)$ /.8}{$0$ , $+\infty$}; \end{tkzexample}crée un tableau de \tkzname{deux} lignes. La première ligne fait $\np{0.8}$ cm de hauteur, ainsi que la seconde. La colonne de droite a pour bornes $0$ et $+\infty$.
+
+\medskip
+\begin{center}
+ \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{tikzpicture}
+\tkzTabInit
+ {$x$ /1,
+ $f(x)$ /1,
+ $g(x)$ /1}
+ {$0$,$\E$,$+\infty$}
+\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{tikzpicture}
+ \tkzTabInit{ / 1}
+ { , }
+\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}
+\end{center}
+
+
+\subsubsection{\texttt{\textcolor{red}{lgt}} : modification de la largeur de la première colonne}\Iopt{tkzTabInit}{lgt}
+
+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{tikzpicture}
+ \tkzTabInit[lgt=3]{ $x$ / 1}
+ { $1$ , $3$ }
+\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{tikzpicture}
+ \tkzTabInit[lgt=3,espcl=4]%
+ { $x$ / 1}
+ { $1$ , $4$ }
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{deltacl}} : modification des espacements aux extrémités}\Iopt{tkzTabInit}{deltacl}
+
+\begin{tkzexample}[width=9cm,very small]
+\begin{tikzpicture}
+ \tkzTabInit[lgt=3,deltacl=1]%
+ { $x$ / 1}
+ { $1$ , $4$ }
+\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{tikzpicture}
+ \tkzTabInit[lw=2pt]{ / 1}
+ { , }
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{nocadre}} : suppression du cadre externe}
+\Iopt{tkzTabInit}{nocadre}
+
+\begin{tkzexample}[width=8cm,very small]
+\begin{tikzpicture}
+ \tkzTabInit[nocadre]{ / 1, /1, /1}
+ { , }
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{color}} : utilisation de la couleur dans un tableau}
+\Iopt{tkzTabInit}{color}\NamePack{amsmath}
+\tkzname{color} est un booléen et indique que l'on veut utiliser la couleur. Pour cela, il faut donner les couleurs attribuées à la première ligne \tkzname{colorL}, la première colonne \tkzname{colorC}, à la case de la variable \tkzname{colorV} et aux lignes \tkzname{colorT}. Il est possible d'attribuer une couleur pour une ligne particulière.
+
+\tkzname{tkzTabInit\{[color]\}} signifie que le booléen color est à vrai.
+
+\begin{tkzexample}[width=8cm,very small]
+\begin{tikzpicture}
+ \tkzTabInit[color,
+ colorT = yellow!20,
+ colorC = orange!20,
+ colorL = green!20,
+ colorV = lightgray!20]
+ { /1 , /1}{ , }
+\end{tikzpicture}\end{tkzexample}
+
+\begin{tkzexample}[width=8cm]
+\begin{tikzpicture}
+ \tkzTabInit[color,
+ colorT = yellow!20,
+ colorC = red!20,
+ colorL = green!20,
+ colorV = lightgray!20,
+ lgt = 1,
+ espcl = 2.5]%
+ {$t$/1,$a$/1,$b$/1,$c$/1,$d$/1}%
+ {$\alpha$,$\beta$,$\gamma$}%
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{help}} : Affiche la structure du tableau}
+\Iopt{tkzTabInit}{help}
+Voir la section \og personnalisation \fg\ (\ref{pers}).
+\endinput
+
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex
new file mode 100644
index 00000000000..07abe4ca049
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-install.tex
@@ -0,0 +1,103 @@
+% 20 / 02 /2009 v1.00c TKZdoc-tab-install
+\section{Installation}\label{ins}
+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}
+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:
+
+\medskip
+\begin{itemize}\setlength{\itemsep}{10pt}
+
+\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}}.
+\end{itemize}
+
+\medskip
+\begin{enumerate}
+\item Placez \tikz[remember picture,baseline=(n2.base)]\node [fill=orange,draw] (n2) {tkz-tab.sty}; dans le dossier \colorbox{green!50}{prof}.
+\item Ouvrir un terminal, puis faire \colorbox{red!50}{|sudo texhash|}
+\item Vérifier que \tkzname{xkeyval}\index{xkeyval} version 2.5 minimum et \tkzname{Ti\emph{k}Z 2.00}\index{TikZ@Ti\emph{k}Z} sont installés car ils sont obligatoires, pour le bon fonctionnement de tkz-tab.
+\end{enumerate}
+Mon dossier texmf est structuré ainsi : \emph{Attention, la présence dans mon dossier texmf, des fichiers de \PGF, s'explique par l'utilisation de la version CVS de \PGF}.
+
+\medskip
+\begin{tikzpicture} [remember picture,rotate=90]
+
+\node (texmf) at (4,2) [draw,fill=blue!30 ] {texmf};
+
+\node (tex) at (6,0) [draw ] {tex};
+\node (doc) at (0,0) [draw ] {doc};
+
+\node (generic) at (7,-4) [draw ] {generic};
+\node (docgen) at (0,-4) [draw ] {generic};
+
+\node (latex) at (4,-4) [draw ] {latex};
+
+\node (pgf1) at (7,-7) [draw,fill=orange] {pgf};
+
+\node (pgf2) at (5,-7) [draw,fill=orange] {pgf};
+\node (prof) at (4,-7) [draw,fill=green ] {{prof}};
+\node (etc) at (3,-7) [draw ] {etc...};
+\node (dpgf) at (0,-7) [draw,fill=orange] {pgf};
+
+\node (qcm) at (7,-11) [draw,fill=green ] {alterqcm.sty};
+\node (fonc) at (6,-11) [draw,fill=orange] {tkz-graph.sty};
+\node (esp) at (5,-11) [draw,fill=orange] {tkz-berge.sty};
+\node (tab) at (4,-11) [draw,fill=orange] {tkz-tab.sty};
+\node (tuk) at (3,-11) [draw,fill=orange] {tkz-tukey.sty};
+\node (base) at (2,-11) [draw,fill=orange] {tkz-base.sty};
+\node (gra) at (1,-11) [draw,fill=orange] {tkz-fct.sty};
+
+\draw (doc.west) |- (4, 1);
+\draw (tex.west) |- (4, 1);
+
+\draw (latex.west) |- (6,-2);
+\draw (generic.west) |- (6,-2);
+
+\draw (pgf2.west) |- (4,-6);
+\draw (prof.west) |- (4,-6);
+\draw (etc.west) |- (4,-6);
+
+\draw (qcm.west) |- (4,-9);
+\draw (fonc.west) |- (6,-9);
+\draw (esp.west) |- (5,-9);
+\draw (tuk.west) |- (4,-9);
+\draw (tab.west) |- (3,-9);
+\draw (base.west) |- (2,-9);
+\draw (gra.west) |- (4,-9);
+
+
+\draw[-open triangle 90] (pgf1.west) -- (generic.east);
+\draw[-open triangle 90] (4,1) -- (texmf.east);
+\draw[-open triangle 90] (6,-2) -- (tex.east);
+\draw[-open triangle 90] (4,-6) -- (latex.east);
+\draw[-open triangle 90] (4,-9) -- (prof.east);
+\draw[-open triangle 90] (dpgf.west) -- (docgen.east);
+\draw[-open triangle 90] (docgen.west) -- (doc.east);
+\end{tikzpicture}
+
+\begin{tikzpicture}[remember picture,overlay]
+ \path[->,thin,red,>=latex] (n1) edge [bend left] (latex);
+ \path[->,thin,red,>=latex] (n2) edge [bend left] (prof);
+\end{tikzpicture}
+
+\subsection{Avec MikTeX sous Windows XP}\NameDist{MikTeX}\NameSys{Windows XP}
+
+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}}:
+
+\begin{itemize}\setlength{\itemsep}{10pt}
+ \item ajouter un dossier \tkzname{prof} dans le dossier
+ \colorbox{blue!30}{\texttt{[MiKTeX-dir]/latex/tex}}
+ \item copier \tkzname{tkz-tab.sty} dans ce dossier,
+ \item mettre à jour MiKTeX, pour cela dans shell DOS lancer la commande \colorbox{red!50}{|mktexlsr -u|}
+
+ ou bien encore, choisir \colorbox{red!50}{|Start/Programs/Miktex/Settings/General|}
+
+ puis appuyer sur le bouton \colorbox{red!50}{|Refresh FNDB|}.
+\end{itemize}
+
+\vfill \ No newline at end of file
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
new file mode 100644
index 00000000000..f7357026bfb
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-main.tex
@@ -0,0 +1,92 @@
+% 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-sign.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-sign.tex
new file mode 100644
index 00000000000..b8ad3f23dde
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-sign.tex
@@ -0,0 +1,292 @@
+% 22 / 02 /2009 v1.0c TKZdoc-tab-sign 10h
+\section{Création d'une ligne de signes : \addbs{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 \\
+\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
+\end{tabular}
+
+
+\medskip
+\noindent\emph{\tkzcname{tkzTabLine} accepte comme argument une liste constituée de symboles. Dans une utilisation \tkzname{normale}, les symboles font partie de deux catégories; les symboles de rang impair et les symboles de rang pair. Cette distinction est due au fait que les symboles de rang impair sont en général des traits (filets) et ceux pour les places de rang pair sont en général des signes \og $+$ ou $-$ \fg. Les symboles de rang impair agissent graphiquement, et permettent de tracer des filets verticaux. L'argument de \tkzcname{tkzTabLine} en contient \tkzname{$n$} si on suppose que le deuxième argument de \tkzcname{tkzTabInit} possède \textcolor{red}{$n$} éléments (antécédents). Les symboles de rang pair permettent d'obtenir un signe \og $+$ ou $-$ \fg\ ou bien une zone interdite (hachurée ou colorée). Chaque ligne de signes en contient \tkzname{$n-1$} et contiendra donc un total de \tkzname{$2n-1$} éléments, c'est à dire \tkzname{$2n-2$} virgules !\\
+Les différents symboles "reconnus" sont donnés dans le tableau ci-dessus, mais vous devez savoir que l'on peut mettre pratiquement n'importe quoi. Cependant attention! la virgule \textcolor{red}{(,)} est le séparateur de liste aussi vous devez prendre des précautions pour introduire un nombre à virgule. Vous avez plusieurs possibilités~:
+\begin{itemize}
+\item[--] \{4,5\} on place le nombre entre des accolades.
+\item[--] \tkzcname{numprint\{4,5\}} ou encore \tkzcname{np\{4,5\}}, ce qui nécessite de charger l'excellent package \tkzname{numprint}\NamePack{numprint} avec l'option \tkzname{np} pour le raccourci.
+\end{itemize}}
+
+\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 \\
+\end{tabular}
+
+\medskip
+\noindent\emph{Il est possible de changer localement le style des filets verticaux et il est possible d'avoir des renseignements sur la structure de la ligne.}
+\end{NewMacroBox}
+
+\subsection{Nombre d'arguments utilisés.}
+La syntaxe générale est :
+
+\begin{center}
+\begin{tkzexample}[code only]
+ \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}
+
+\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.
+
+ Les principaux symboles utilisés sont : \tkzname{z} pour un zéro placé sur un trait, \tkzname{t} pour un trait correspondant à un zéro d'une autre ligne, \tkzname{d} pour une valeur pour laquelle l'expression n'est pas définie.
+
+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}
+\end{center}
+
+Pour obtenir cette ligne, il faut entrer
+\begin{tkzexample}[code only]\tkzTabLine{ $1$ , $2$ , $3$ , $4$ , $5$}\end{tkzexample}
+
+
+
+
+
+\subsection{Emploi minimum}
+La deuxième ligne est vide mais l'argument \tkzcname{tkzTabLine} doit comporter \tkzname{$4$} virgules. C'est en effet une liste comportant \tkzname{$5 = 2\times3-1$} valeurs.
+
+\begin{tkzexample}[code only]
+ \tkzTabLine{,,,,} ou \tkzTabLine{ , , , , }\end{tkzexample}
+
+\begin{tkzexample}[width=8cm,very small]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=1.5]
+ {$x$ / 1 ,$f(x)$ /1 }%
+ {$v_1$ , $v_2$ , $v_3$ }%
+ \tkzTabLine{ , , , , }
+\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{tikzpicture}
+ \tkzTabInit[espcl=1.5]
+ {$x$ / 1 ,$f(x)$ /1 }%
+ {$v_1$ , $v_2$ , $v_3$ }%
+ \tkzTabLine{ t, , t , ,t }
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{z}} : ajout d'un zéro sur un trait vertical}
+\begin{tkzexample}[width=8cm,very 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}
+
+\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{tikzpicture}
+ \tkzTabInit[espcl=1.5]%
+ {$x$ / 1,$g(x)$ / 1}%
+ {$0$,$1$,$2$}%
+\tkzTabLine{d,+,0,-,d}
+\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{tikzpicture}
+ \tkzTabInit[lgt=1.5,espcl=1.75]%
+ {$x$ / 1,$f'(x)$ / 1}%
+ {$-\infty$,$0$,$+\infty$}%
+ \tkzTabLine{,+,d,-,}
+\end{tikzpicture}\end{tkzexample}
+
+\subsection{Utilisation des symboles de rang pair}
+
+Pour un tableau de signe, en principe les symboles de rang pair mais il est possible de détourner l'emploi de base de cette macro. L'exemple suivant montre un cas classique d'une zone du tableau qui correspond à des valeurs interdites. par défaut avec le symbole \tkzname{h}, la zone est grisée mais on peut hachurer cette zone si on préfère.
+Le dernier exemple montre comment détourner l'usage principal.
+
+\subsubsection{\texttt{\textcolor{red}{h}} : zone interdite}
+
+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{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}
+
+\subsection{Utilisation des options}
+
+\subsubsection{\texttt{\textcolor{red}{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}
+ \tkzTabInit[espcl=1.5]
+ {$x$ / 1 ,$f(x)$ /1 }%
+ {$v_1$ , $v_2$ , $v_3$ }%
+ \tkzTabLine{ t, , t , ,t }
+\end{tikzpicture}\end{tkzexample}
+
+ \tikzset{t style/.style = {style = densely dashed}}
+\begin{tkzexample}[width=8cm,very 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}
+
+\subsubsection{\texttt{\textcolor{red}{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}
+\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{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}
+\end{tikzpicture}
+\end{tkzexample}
+
+
+Cette fois la zone est hachurée.
+ \index{hachures}
+\begin{tkzexample}[very small]
+\begin{tikzpicture}
+ \tikzset{h style/.style =
+ {pattern=north west lines}}
+ \tkzTabInit[color,espcl=1.5]%
+ {$x$ / 1,$g(x)$ / 1}%
+ {$0$,$1$,$2$,$3$}%
+ \tkzTabLine{z,+,,h,d,-,t}
+\end{tikzpicture}
+\end{tkzexample}
+
+
+
+\subsection{Exemples}
+
+\subsubsection{Simplification d'une expression comportant une valeur absolue }
+
+\begin{tkzexample}[width=7cm,very 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}
+
+\subsubsection{Tableau de signes}
+
+\begin{tkzexample}[,very 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}
+
+
+\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{tikzpicture}
+ \tkzTabInit[color,lgt=5,espcl=3]%
+ {$x$ / .8,$\Delta>0$\\ Le signe de\\ $ax^2+bx+c$ /1.5}%
+ {$-\infty$,$x_1$,$x_2$,$+\infty$}%
+ \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}
+ 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{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}
+
+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{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}
+
+
+\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/TKZdoc-tab-slope.tex
new file mode 100644
index 00000000000..e2b44ff1fa3
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-slope.tex
@@ -0,0 +1,39 @@
+% 20 / 02 /2009 v1.00c TKZdoc-tab-slope
+\section{Nombres dérivés : \addbs{tkzTabSlope}}
+
+\begin{NewMacroBox}{tkzTabSlope}{\{Liste\}}
+
+\begin{tabular}{lllc}
+\hline
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IargName{tkzTabSlope}{Liste} & |no default| & $i$/eg($i$)/ed($i$) \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{$i$ est compris entre $1$ et $n$, $n$ étant le nombre de valeurs de la première ligne.
+Cette macro permet de personnaliser les signes d'une fonction dérivée en indiquant par exemples des limites, les valeurs d'une dérivée à droite, à gauche. $i$ est le rang de l'antécédent qui correspond à la valeur de la dérivée, \tkzname{eg} et \tkzname{ed} sont les expressions que l'on veut placer soit à gauche et soit à droite.}
+\end{NewMacroBox}
+
+\subsection{Ajout de nombres dérivés}
+\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{tikzpicture}
+\tkzTabInit[lgt=3]%
+ {$x$/1,%
+ Signe\\ de $f'(x)$ /1,%
+ Variations\\ de\\ $\sqrt {x(x-1)^2}$ /4}%
+ {$0$ , $\dfrac{1}{3}$ , $1$ , $4$}%
+\tkzTabLine{d ,+, 0 ,-, d ,+, }
+\tkzTabSlope{1//+\infty,3/-1 /+1}
+\tkzTabVar %
+ {- / $0$ ,
+ + / $\dfrac{2\sqrt3}{9}$ ,
+ - / $0$ ,
+ + / $6$ }
+\end{tikzpicture}\end{tkzexample}
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex
new file mode 100644
index 00000000000..48f39e2612b
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tangente.tex
@@ -0,0 +1,172 @@
+% 20 / 02 /2009 v1.00c TKZdoc-tab-tangente
+\section{Tangente horizontale : \addbs{tkzTabTan} et \addbs{tkzTabTanFrom}}
+\subsection{Définition de \textcolor{red}{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 \\
+\IargName{tkzTabTan}{Position} & |no default| & rang de l'antécédent \\
+\IargName{tkzTabTan}{Image} & |no default| & valeur de l'image \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Il s'agit de savoir sur quelle flèche, on va positionner la tangente. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Position} est le rang de la valeur qui correspond à la tangente. \tkzname{Image} est la valeur que l'on peut joindre à la tangente (ordonnée du point de contact).}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Il existe une option \tkzname{pos} qui permet de positionner cette valeur sous la tangente.\\}
+
+\end{NewMacroBox}
+
+
+\subsection{Utilisation des arguments}
+
+\subsubsection{Palier}
+La flèche débute pour la valeur initiale $0$ donc de rang $1$ et se termine pour $+\infty$, valeur de rang $3$. La tangente est ici en $x=1$ soit la valeur de rang $2$.
+
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \tkzTab[espcl=6]{$x$/1,$f'(x)$ /1, $f$/3}%
+ {$0$ , $1$ , $+\infty$}%
+ {d , + , 0 , + , }
+ {D- / $-\infty$ , R / , +/ $+\infty$}%
+ \tkzTabTan{1}{3}{2}{\scriptsize $2$}
+\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.
+
+La valeur $0$ de l'image de $1$ par $f$ n'est pas indiquée dans \tkzcname{tkzTabVar}. Elle serait sous les flèches représentant la tangente, aussi elle est passée comme argument de \tkzcname{tkzTabTan} avec l'option \tkzname{pos=below}.
+
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=6]{$x$ /1,$f'(x)$/1,$f$/2}{$0$,$1$,$+\infty$}%
+ \tkzTabLine{t , + , z , - , }%
+ \tkzTabVar{-/ $-1$ , +/ , -/$-\infty$ }
+ \tkzTabTan[pos=below]{1}{2}{2}{$0$}
+\end{tikzpicture}\end{tkzexample}
+
+\subsection{Utilisation des options}
+
+\subsubsection{\texttt{\textcolor{red}{pos}} : position de la valeur}
+
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=5]{$x$/1,$f''{x}$/1,$f'(x)$/2,$f(x)$/2}{$0$,$1$,$+\infty$}%
+ \tkzTabLine{d,+,0,-,}%
+ \tkzTabVar{-/ $-\infty$ ,+/ ,-/$-\infty$}
+ \tkzTabTan[pos=below]{1}{2}{2}{$0$}
+ \tkzTabVar{+/ $+\infty$ , R/ , -/ $0$}
+ \tkzTabTan{1}{3}{2}{$1$}
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{Variations imbriquées}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=3]
+ {$x$ /1,
+ $f''(x)$ /1,
+ $f'$ /3,
+ $f$ /3}%
+ {$0$ , $\alpha$ , $1$ , $\beta$, $+\infty$ }%
+ \tkzTabLine {d , +, , + , z , - , , - }%
+ \tkzTabVar {-/ $-1$ / , R/ ,+/ , R/ , -/ $-\infty$ }
+ \tkzTabIma[draw]{1}{3}{2}{0}
+ \tkzTabIma[draw]{3}{5}{4}{0}
+ \tkzTabTan[pos]{1}{3}{3}{$2$}
+ \tkzTabVar{+/ $+\infty$ , - / , R/,+/ , -/ $0$ }
+ \tkzTabTan[]{1}{2}{2}{$1$}
+ \tkzTabTan[pos=below]{2}{4}{4}{$2$}
+\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
+\end{tabular}
+
+\medskip
+\noindent\emph{La position est donnée par le nom d'un point ou d'un node.}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabTan}{pos} & |below| & position de la valeur \\
+\hline
+\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{tikzpicture}
+\tkzTabInit[ espcl=6]
+{ $x$ /1,
+ $f'(x)$ /1,
+ $f$ /3}
+{ $0$ , $\alpha$ , $+\infty$ }%
+\tkzTabLine { , ,+, , }%
+\tkzTabVar{-/ $-1$ , R , +/ $+1$ /}%
+\tkzTabTanFrom[pos=below]{1}{3}{N21}{$0$}
+\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{tikzpicture}
+\tkzTabInit[ espcl=4]
+{ $x$ /1,
+ $f''(x)$ /1,
+ $f'$ /2,
+ Signe de $f'(x)$ /2,
+ $f$ /3}
+{ $0$ , $1$ , $\alpha$ , $+\infty$ }%
+\tkzTabLine {d,+,0,-, ,- }%
+\tkzTabVar
+{-/ $1$ ,
+ +/ ,
+ R/ ,
+ -/ $-\infty$ }%
+\tkzTabTan[pos,remember=v1]{1}{2}{2}{$2$}%
+\tkzTabVal[remember=v2]{2}{4}{0.5}{}{0}%
+\tkzTabLine { ,, +,, z,- }%
+\tkzTabVar
+{-/ $-\infty$ ,
+ R/ ,
+ +/ ,
+ -/ $0$ }
+\tkzTabImaFrom[]{1}{3}{v1}{0}%
+\tkzTabImaFrom[]{3}{4}{v2}{}%
+\tkzTabTanFrom[pos=below]{3}{4}{v2}{$1$}
+\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/TKZdoc-tab-tv.tex
new file mode 100644
index 00000000000..99f49c42597
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-tv.tex
@@ -0,0 +1,83 @@
+% 20 / 02 /2009 v1.00c TKZdoc-tab-tv
+\section{Création d'un tableau de variations : \addbs{tkzTab}}
+\subsection{Définition}
+\begin{NewMacroBox}{tkzTab}%
+{\oarg{local options}\var{liste1}\var{liste2}\var{liste3}\var{liste4}}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\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
+\end{tabular}
+
+\medskip
+\noindent\emph{La macro \emph{\tkzcname{tkzTab}} est un raccourci pour enchaîner \tkzcname{tkzTabInit}, \tkzcname{tkzTabLine} et \tkzcname{tkzTabVar}. Les \tkzname{options} sont identiques à celles de \tkzcname{tkzTabInit}. Ces tableaux ne concernent que les tableaux à trois lignes pour la variable, le signe de la dérivée et les variations de la fonction.}
+\end{NewMacroBox}
+
+\medskip
+
+\begin{tkzexample}[code only]
+ \tkzTab{ e(1) / h(1) ,
+ ... ,
+ e(p) / h(p)}
+ { v(1), ... ,v(n) }
+ { a(1),...,a(2n-1)}
+ { s(1) / eg(1) / ed(1), ... ,s(n) / eg(n) / ed(n)}
+\end{tkzexample}
+
+\subsection{Exemple 1}
+
+Étude de la fonction $f~:~ x \longmapsto x^2$ sur $[-5~;~7]$
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+\tkzTab[lgt=3,espcl=5]{ $x$ / 1,
+ $f'(x)$ / 1,
+ Variations de \\$f$ / 2}
+ { $-5$ , $0$ ,$7$}
+ { ,-,z,+,}
+ { +/$25$ , -/$0$ , +/ $49$}%
+\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{tikzpicture}
+ \tkzTab[espcl=5,lgt=3]{$x$ / 1, Signe de \\$\ln x +1$ / 1.5,%
+ Variations de \\$f$ / 3}%
+ {$0$ ,$1/\E$ , $+\infty$}{d,-,z,+,}
+ {D+/ $0$,%
+ -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}} ,%
+ +/ $+\infty$ }%
+\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{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}
+
+\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{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}
+\endinput
+
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex
new file mode 100644
index 00000000000..b267b92b69e
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-valeurs.tex
@@ -0,0 +1,161 @@
+% 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.
+
+\subsection{Définition de \addbs{tkzTabVal}}
+
+\begin{NewMacroBox}{tkzTabVal}{\oarg{local options}\{Début\}\{Fin\}\{Position\}\{Antécédent\}\{Image\}}
+
+\begin{tabular}{lllc}
+\hline
+\texttt{arguments} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\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
+\end{tabular}
+
+\medskip
+\noindent\emph{Ceci mérite quelques commentaires : Il s'agit de savoir sur quelle flèche, on va positionner l'image. \tkzname{Début} et \tkzname{Fin} sont les rangs des valeurs qui déterminent les extrémités de la flèche. \tkzname{Antécédent} \tkzname{Image} sont les valeurs que l'on veut placer. \tkzname{Position} est un nombre qui est obligatoirement compris entre $0$ et $1$. C'est une abscisse en prenant comme origine \tkzname{Début} et comme extrémité \tkzname{Fin}.}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabVal}{draw} & |true| & dessin d'une flèche entre l'antécédent et son image \\
+\IoptName{tkzTabVal}{remember}& |lastval|& définit un node personnalisé \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{Si vous voulez une flèche entre l'antécédent et l'image, il vous suffit de passer en option \tkzname{draw}. Si vous voulez référencer le point où se situe l'image alors il faut utiliser l'option \tkzname{remember}.}
+\end{NewMacroBox}
+
+\subsubsection{Ajout de valeurs intermédiaires}
+
+Le premier exemple montre des valeurs remarquables pour la fonction $\ln$. Il s'agit de mettre en évidence des valeurs importantes pour la fonction. La fonction est monotone entre les valeurs de rang $1$ ($0$) et $2$ ($+\infty$), ainsi les deux premiers arguments sont $1$ et $2$. Les coefficients utilisés pour \tkzname{Position} sont des nombres \tkzname{décimaux} ici $0.33$ et $0.66$. Les antécédents n'étaient pas présents dans la première ligne aussi leurs valeurs sont passées dans les arguments.
+
+\begin{tkzexample}[code only]
+ \tkzTabVal{1}{2}{0.33}{1}{0}
+ \tkzTabVal{1}{2}{0.66}{\E}{1} \end{tkzexample}
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+\tkzTabInit[lgt=3,espcl=10] {$x$ /1, Signe\\ de $\dfrac{1}{x}$ /1.5,%
+ Variation\\ de $\ln$ /2} {$0$ , $+\infty$}%
+ \tkzTabLine{d,+,}%
+ \tkzTabVar[color=red]{ D- / $-\infty$, + / $+\infty$ }
+ \tkzTabVal{1}{2}{0.33}{1}{0}
+ \tkzTabVal{1}{2}{0.66}{\E}{1}
+\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{tikzpicture}
+ \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}
+
+\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}[vbox,very 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}
+
+
+\subsubsection{Valeurs intermédiaires et plusieurs lignes de variations }
+\Iopt{tkzTabVal}{draw}
+
+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}
+
+
+ \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{tikzpicture}
+ \tkzTabInit[lgt=3,espcl=10]{$x$ /1,
+ Signe\\ de $\dfrac{1}{x}$ /2,
+ Variation\\ de $\ln$ /3}
+ {$0$ , $+\infty$ }%
+ \tkzTabLine {d,+ , }%
+ \tkzTabVar[color=red]{D-/ $-\infty$ , +/$+\infty$}%
+ \tkzTabVal[draw]{1}{2}{0.24}{\scriptsize $1-h$}{$<0$}%
+ \tkzTabVal[draw]{1}{2}{0.3}{$1$}{$0$}%
+ \tkzTabVal[draw]{1}{2}{0.36}{\scriptsize $1+h$}{$>0$}%
+ \tkzTabVal[draw]{1}{2}{0.64}{$2,7$}{$<$}%
+ \tkzTabVal[draw]{1}{2}{0.7}{$\E$}{$1$}%
+ \tkzTabVal[draw]{1}{2}{0.76}{$2,8$}{$>$}%
+\end{tikzpicture}
+\end{tkzexample}
+
+
+\newpage
+\subsubsection{\texttt{\textcolor{red}{remember}} : attribuer un nom à un point ou un node.}
+\Iopt{tkzTabVal}{remember}
+
+Cette option permet d'utiliser \tkzcname{tkzTabImaFrom} mais il est possible de récupérer les noms des nodes et de les traiter avec par exemple du code de \TIKZ.
+
+\begin{tkzexample}[code only]
+ \draw[opacity=0.4,fill=red!20] (vb) circle(3ex);
+ \draw[opacity=0.4,fill=blue!20] (vc) circle(3ex);
+\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}{}{$0$}
+
+ \draw[opacity=0.4,fill=red!20] (vb) circle(3ex);
+ \draw[opacity=0.4,fill=blue!20] (vc) circle(3ex);
+ \end{tikzpicture}
+\end{tkzexample}
+
+\medskip
+Il faut remarquer que $b$ et $c$ sont des valeurs intermédiaires car le tableau a été défini avec $a$, $d$ et $e$.
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex
new file mode 100644
index 00000000000..9afa44a7cf0
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab-variation.tex
@@ -0,0 +1,783 @@
+% 22 / 02 /2009 v1.0c TKZdoc-tab-variation 10h
+\section{Création d'une ligne de variations : \addbs{tkzTabVar}}
+\subsection{Définition}
+
+\begin{NewMacroBox}{tkzTabVar}{\oarg{local options}\var{el($1$),\dots,el($n$)}}
+ avec \tkzname{el($i$) = s($i$) / e($i$)} ou bien \tkzname{el($i$) = s($i$) / eg($i$) / ed($i$)}.
+
+\noindent\tkzname{s($i$)} est une série de symboles à choisir dans le tableau ci-dessous. \tkzname{eg($i$)} et \tkzname{ed($i$)} sont des expressions mathématiques qui se placent à gauche et à droite des filets verticaux. \tkzname{e($i$)} est une expression centrée sur un filet.
+
+\medskip
+ \begin{tabular}{llrl}
+\hline
+ Groupe 1& \emph{avec un seul signe} &&\\
+\hline
+\tkzname{s($i$)} & Position des expressions & \tkzname{el($i$)} & \\
+\hline
+\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 $&$(/) $ \\
+\IargName{tkzTabVar}{$-C$} & prolongement par continuité en bas, centrée & $-C $&$/e $ \\
+\IargName{tkzTabVar}{$+C$} & prolongement par continuité en haut, centrée& $+C $&$/e $ \\
+\IargName{tkzTabVar}{$-H$} & expression en bas et centrée puis zone interdite & $-H $&$/e $ \\
+\IargName{tkzTabVar}{$+H$} & expression en haut et centrée puis zone interdite & $+H $&$/e $ \\
+\IargName{tkzTabVar}{$+D~~$}& discontinuité, expression en haut à gauche & $+D $&$/e $ \\
+\IargName{tkzTabVar}{$-D~~$}& discontinuité, expression en bas à gauche & $-D $&$/e $ \\
+\IargName{tkzTabVar}{$~D+~$}& discontinuité, expression en haut et à droite & $D+ $&$/e $ \\
+\IargName{tkzTabVar}{$~D-~$}& discontinuité, expression en bas et droite & $D- $&$/e $ \\
+\IargName{tkzTabVar}{$+DH$} & discontinuité à gauche et en haut puis zone interdite& $+DH $&$/e $ \\
+\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
+ Groupe 2& \emph{avec deux signes}& &\\
+\hline
+\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$ \\
+\IargName{tkzTabVar}{$-D-$} & discontinuité, \dots \hfill soit en haut, soit en bas&$-D- $&$/eg/ed$ \\
+\IargName{tkzTabVar}{$+CD+$}& prolongement par continuité à gauche et & $+CD+$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$-CD-$}& \dots \hfill deux expressions qui sont & $-CD-$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$+CD-$}& \dots \hfill soit à gauche ,soit à droite & $+CD-$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$-CD+$}& \dots \hfill soit en haut, soit en bas & $-CD+$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$+DC+$}& prolongement par continuité à droite et & $+DC+$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$-DC-$}& \dots \hfill deux expressions qui sont & $-DC-$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$+DC-$}& \dots \hfill soit à gauche ,soit à droite & $+DC-$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$-DC+$}& \dots \hfill soit en haut, soit en bas & $-DC+$&$/eg/ed$ \\
+\IargName{tkzTabVar}{$+V+$} & comme une discontinuité mais sans double barre et& $+V+ $&$/eg/ed$ \\
+\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
+\tkzname{\textvisiblespace} & laisse la place vide dans certains cas& & \\
+\hline
+\end{tabular}
+
+\medskip
+\noindent\emph{La macro \tkzcname{tkzTabVar} nécessite un argument qui est une liste. Cette liste contient \tkzname{$n$} éléments correspondant aux \tkzname{$n$} antécédents de la première ligne. Chaque élément donne la position d'une ou de deux expressions par rapport à la ligne avec un signe $+$ (en haut) ou bien un signe $-$ (en bas). Ces expressions sont, soit des images, soit des limites.}
+
+\noindent\emph{Les éléments \tkzname{el($i$)} ont pour forme~:\\
+ soit \mbox{\tkzname{\{ s($i$)/ e($i$)\}}} ou bien \mbox{\tkzname{\{ s($i$)/ e($i$) / \}}}, soit \mbox{\tkzname{\{ s($i$)/ eg($i$) / ed($i$)\}}}.}
+
+\noindent\emph{La première forme correspond aux symboles qui ne possèdent qu'un signe \tkzname{$+$} ou \tkzname{$-$} et qui placent une seule expression; la seconde correspond aux symboles qui possèdent deux signes et qui placent deux expressions. Les expressions sont des valeurs prises à gauche \tkzname{ eg($i$)\}} ou bien à droite \tkzname{ed($i$)} par la fonction ou encore des limites mais les expressions peuvent être vides. Un signe \tkzname{$+$} ou \tkzname{$-$} à gauche (resp. à droite) des symboles correspond à \tkzname{eg($i$)} (resp. à \tkzname{ed($i$)}).}
+
+\medskip
+\begin{tabular}{lllc}
+\hline
+\texttt{options} & \texttt{défaut} & \texttt{définition} \\
+\hline
+\IoptName{tkzTabVar}{color} & |black| & couleur des flèches \\
+\IoptName{tkzTabVar}{help} & affiche la structure d'une ligne de variations \\
+ \hline
+\end{tabular}
+
+\end{NewMacroBox}
+
+ \medskip
+Un schéma étant parfois plus simple qu'un long discours \dots
+
+ \begin{center}
+\begin{tikzpicture}
+\tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}%
+{$0$,$1$,$2$,$+\infty$}%
+\tkzTabLine{t,-,d,-,z,+,}%
+\tkzTabVar{}%
+\node[below =3pt] (FN12) at (N12){};
+\node[below =3pt] (FN22) at (N22){};
+\node[below =3pt] (FN32) at (N32){};
+\node[below =3pt] (FN42) at (N42){};
+
+\node[above =3pt] (FN13) at (N13){};
+\node[above =3pt] (FN23) at (N23){};
+\node[above =3pt] (FN33) at (N33){};
+\node[above =3pt] (FN43) at (N43){};
+
+\node[below right=3pt] (FRN12) at (N12){};
+\node[below right=3pt] (FRN22) at (N22){};
+\node[below right=3pt] (FRN32) at (N32){};
+\node[below right=3pt] (FRN42) at (N42){};
+
+\node[above right=3pt] (FRN13) at (N13){};
+\node[above right=3pt] (FRN23) at (N23){};
+\node[above right=3pt] (FRN33) at (N33){};
+
+\node[below left=3pt] (FLN22) at (N22){};
+\node[below left=3pt] (FLN32) at (N32){};
+\node[below left=3pt] (FLN42) at (N42){};
+
+\node[above left=3pt] (FLN13) at (N13){};
+\node[above left=3pt] (FLN23) at (N23){};
+\node[above left=3pt] (FLN33) at (N33){};
+\node[above left=3pt] (FLN43) at (N43){};
+
+\draw[fill=red!50] (FN12) circle(2pt) node[below=2pt,text=red!50] {\small e} node[left=1cm,red] {$+$};
+\draw[fill=red!50] (FN22) circle(2pt);
+\draw[fill=red!50] (FN32) circle(2pt);
+\draw[fill=red!50] (FN42) circle(2pt);
+
+\draw[fill=red!50] (FN13) circle(2pt) node[left=1cm,red] {$-$};
+\draw[fill=red!50] (FN23) circle(2pt);
+\draw[fill=red!50] (FN33) circle(2pt) node[above=2pt,text=red!50] {\small e};
+\draw[fill=red!50] (FN43) circle(2pt);
+
+\draw[fill=blue!30] (FRN12) circle(2pt);
+\draw[fill=blue!30] (FRN22) circle(2pt) node[below right=2pt,text=blue!30] {\small ed};
+\draw[fill=blue!30] (FRN32) circle(2pt);
+\draw[fill=blue!30] (FRN13) circle(2pt);
+\draw[fill=blue!30] (FRN23) circle(2pt);
+\draw[fill=blue!30] (FRN33) circle(2pt);
+
+\draw[fill=green!50] (FLN22) circle(2pt);
+\draw[fill=green!50] (FLN32) circle(2pt);
+\draw[fill=green!50] (FLN42) circle(2pt) node[below left =2pt,text=green!50] {\small eg};
+\draw[fill=green!50] (FLN23) circle(2pt) node[above left =2pt,text=green!50] {\small eg};
+\draw[fill=green!50] (FLN33) circle(2pt);
+\draw[fill=green!50] (FLN43) circle(2pt);
+\end{tikzpicture}
+\end{center}
+
+\medskip
+Pour les besoins de certains tableaux , j'ai employé les macros suivantes~:
+
+\begin{tkzexample}[code only]
+ \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} {$\scriptscriptstyle V_e$}}
+\end{tkzexample}
+
+\medskip
+ \begin{center}
+\begin{tikzpicture}
+\tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}%
+{$0$,$1$,$2$,$+\infty$}%
+ \tkzTabLine{t,-,d,-,z,+,}%
+ \tkzTabVar{+/\va , -D+/\vb/\vc,-/\vd, +D/\ve}%
+\end{tikzpicture}
+\end{center}
+
+\begin{tkzexample}[code only]
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=2,espcl=3]{$x$/1,$f'(x)$/1,$f(x)$/3}%
+ {$0$,$1$,$2$,$+\infty$}%
+\tkzTabLine{t,-,d,-,z,+,}%
+ \tkzTabVar{+/\va , -D+/\vb/\vc,-/\vd, +D/\ve}%
+\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.
+
+\subsection{Utilisation des symboles}
+
+\medskip
+\bgroup\parindent=0pt
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+ /\va , -/\vb }\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+ {+ /\va , -/\vb }
+ \end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{-/\va , +/\vb}\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{-/\va , +/\vb}
+ \end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\va , +/\vb}\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{+/\va , +/\vb}
+ \end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{-/\va , -/\vb}\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{-/\va , -/\vb}
+ \end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\va , -C / \vb}\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{+/\va , -C / \vb}
+ \end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{-/\va , +C / \vb }\end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{-/\va , +C / \vb }
+ \end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+ {+C / \va , -C / \vb} \end{tkzexample}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+ {+C / \va , -C / \vb }
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+ {-C /\va , +C /\vb}\end{tkzexample}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+ {-C /\va , +C /\vb}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{ D+ /\va , -/\vb} \end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{ D+ /\va , -/\vb}
+ \end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{ D- /\va , +/\vb} \end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar
+ { D- /\va , +/\vb}
+ \end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\va , -D / \vb} \end{tkzexample}
+ \begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+{+/\va , -D / \vb}
+ \end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{-/\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}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+ {D+ / \va , -D / \vb }
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+ {D- /\va , +D /\vb}\end{tkzexample}
+\begin{tikzpicture}
+ \tkzTabInit[lgt=1]{ /0.5,/2 }{ a , b }
+ \tkzTabVar%
+ {D- /\va , +D /\vb}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/ \va , -/ \vb , +/ \vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar {+/ \va , -/ \vb ,+/ \vc}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/ \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/ }
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{- /\va , R , +/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{- /\va , R, +/\vc}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{- /\va , R , +/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2}{ a , b , c }
+\tkzTabVar%
+{- /\va , R , +/\vc}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , +DH/\vbo/ , }\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , +DH/\vbo/ , }
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , -DH/\va/\vb , D+/}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , -DH/\vbo , D+/}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , +D-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , +D-/\vbo/\vbt , +D/\vc}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , +D-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , -D-/\vbo/\vbt , +D/\vc}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\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 }
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+ /\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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va, +DC-/\vbo/\vbt, +D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , +DC-/\vbo/\vbt ,+D/\vc}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D+/\va , +DC-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D+/\va , +DC-/\vbo/\vbt ,+D/\vc}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , +CD-/\vbo/\vbt , +D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D-/\va , +CD-/\vbo/\vbt , +D/\vc}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{D-/\va , +CD-/\vbo/\vbt ,+D/\vc}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{D+/\va , +CD-/\vbo/\vbt , +D/\vc}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\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}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{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%
+{D- /\va , -DC- /\vbo/\vbt , +D/\vc}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\va , -CH /\vbo/\vbt , D+/}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{+/\va , -CH /\vbo/\vbt , D+/}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+ /\va , -CH/\vb, //}\end{tkzexample}
+\begin{tikzpicture}
+\tkzTabInit[lgt=1,espcl=2.5]{ /0.5,/2 }{ a , b , c }
+\tkzTabVar%
+{+ /\va , -CH/\vb, //}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/\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}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{+/ \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}
+\end{tikzpicture}
+\end{minipage}
+\hfill
+\begin{minipage}{7cm}
+\begin{tkzexample}[code only]
+{-/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{16cm}
+\begin{tkzexample}[code only]
+{-/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{16cm}
+\begin{tkzexample}[code only]
+{+/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{16cm}
+\begin{tkzexample}[code only]
+{-/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{16cm}
+\begin{tkzexample}[code only]
+ {-/ \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}
+\end{tikzpicture}
+\end{minipage}
+
+\begin{minipage}{16cm}
+\begin{tkzexample}[code only]
+{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}
+\end{tikzpicture}
+\end{minipage}
+\egroup
+
+\medskip
+Commentaires
+\begin{itemize}
+ \item on peut employer la syntaxe suivante dans pratiquement tous les cas $s(i)/\ldots/\ldots$ mais alors il faut bien positionner les expressions;
+
+ \item l'argument vide est employé parfois à la fin d'une ligne mais dans ce cas aucune flèche n'est tracée;
+
+ \item $C+$ et $C-$ n'existent pas. $+C$ et $-C$ suffisent car les expressions sont centrées;
+ \item $D+$ et $D-$ existent .
+
+\end{itemize}
+
+
+\subsection{Utilisation des options}
+
+\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{tikzpicture}
+ \tkzTabInit[color,espcl=8]%
+ {$x$ /1,%
+ Signe\\ de $\dfrac{1}{x}$ /1.5,
+ Variation\\ de $\ln$ /1.5}%
+ {$0$,$+\infty$}%
+ \tkzTabLine{d,+,}%
+ \tkzTabVar[color=red]%
+ {D-/ / $-\infty$,+/ $+\infty$ /}
+\end{tikzpicture}\end{tkzexample}
+
+\subsubsection{\texttt{\textcolor{red}{help}} : affiche la structure du tableau}
+\Iopt{tkzTabVar}{help}
+Voir le chapitre personnalisation\ref{pers}
+\subsection{Utilisation des styles}
+
+\subsubsection{Modification de la couleur d'une zone interdite}
+\Istyle{tkzTabvar}{h style}
+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}
+
+Une autre définition peut être :
+
+ \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}
+
+\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}
+ Ce code permet d'hachurer la zone
+
+\begin{tkzexample}[vbox,width=9cm,very 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}
+
+
+\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]
+ \tikzset{arrow style/.style = {\cmdTAB@VA@color,
+ ->,
+ > = latex',
+ shorten > = 2pt,
+ shorten < = 2pt}}\end{tkzexample}
+
+ On limite l'approche des nodes par les arrows. Voici une modification possible du style
+
+\begin{tkzexample}[code only]
+ \tikzset{arrow style/.style = {blue,
+ ->,
+ > = latex',
+ shorten > = 6pt,
+ shorten < = 6pt}}\end{tkzexample}
+
+ La couleur et l'approche des flèches sont modifiées.
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tikzset{arrow style/.style = {blue,
+ ->,
+ > = latex',
+ 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}
+
+\subsubsection{\texttt{\textcolor{red}{node style}} Style des nodes}
+\Istyle{tkzTabVar}{node style}
+Par défaut, Le style des nodes est \tkzname{node style} et il est défini ainsi :
+\begin{tkzexample}[code only]
+\tikzset{node style/.style = {inner sep = 2pt,
+ outer sep = 2pt,
+ fill = \cmdTAB@tbs@colorT}}\end{tkzexample}
+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}
+
+ Par défaut les nodes sont des rectangles non tracés, ils deviennent des disques
+
+\begin{tkzexample}[vbox,very 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}%
+ {$0$ ,$1/\E$ , $+\infty$}%
+ \tkzTabLine{d,-,z,+,}
+ \tkzTabVar%
+ { D+/ / $0$ ,%
+ -/ \colorbox{black}{\textcolor{white}{$\dfrac{-1}{e}$}}/ ,%
+ +/ $+\infty$ / }%
+\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{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}
+
+\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{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}
+
+\subsubsection{Zone interdite}
+
+\begin{tkzexample}[vbox,very 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}
+
+\subsubsection{Zone interdite + prolongement par continuité}
+\index{zone interdite}
+\begin{tkzexample}[vbox,very 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}
+
+\subsubsection{Zone interdite + double prolongement par continuité}
+\index{prolongement par continuité}
+\begin{tkzexample}[vbox]
+\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}
+
+\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{tikzpicture}
+ \tkzTab[nocadre,lgt=3,espcl=4]
+ {$x$ /1,
+ Signe\\ de $f'(x)$ /1.5,
+ Variations\\ de\\ $f$ /2}
+ {$-\infty$, $-2$,$\dfrac{1}{\E}$,$\E$}%
+ {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}
+
+\subsubsection{Double variations}
+
+\begin{tkzexample}[vbox,very small]
+\begin{tikzpicture}
+ \tkzTabInit[espcl=6]
+ {$x$ /1, $f''{x}$ /1,$f'(x)$ /2, $f(x)$ /2}%
+ {$0$ , $1$ , $+\infty$ }%
+ \tkzTabLine{d,+,z,-, }%
+ \tkzTabVar {D-/ /$1$,+/ $\E$ /,-/ $0$ /}%
+ \tkzTabVar {D-/ /$-\infty$ ,R/ $0$ /, +/ $+8$ /}
+\end{tikzpicture}\end{tkzexample}
+
+
+
+\endinput \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf b/Master/texmf-dist/doc/latex/tkz-tab/TKZdoc-tab.pdf
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+startxref
+499899
+%%EOF
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/doctab.ist b/Master/texmf-dist/doc/latex/tkz-tab/doctab.ist
new file mode 100644
index 00000000000..cc1a50fce7a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/doctab.ist
@@ -0,0 +1,7 @@
+headings_flag 1
+heading_prefix "\n \\item {\\bf "
+heading_suffix "} \\hfill \\ "
+symhead_positive "Symboles"
+delim_0 " \\dotfill\\ "
+delim_1 " \\dotfill\\ "
+delim_2 " \\dotfill\\ " \ No newline at end of file
diff --git a/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt b/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt
new file mode 100644
index 00000000000..606e09d2852
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/readme-us.txt
@@ -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/sign-latin1.pdf b/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdf
new file mode 100644
index 00000000000..77791a34084
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.pdf
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
new file mode 100644
index 00000000000..ec142b97fff
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/sign-latin1.tex
@@ -0,0 +1,28 @@
+\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/var-latin1.pdf b/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdf
new file mode 100644
index 00000000000..59ba39836e4
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.pdf
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
new file mode 100644
index 00000000000..9584aa2b2ed
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tkz-tab/var-latin1.tex
@@ -0,0 +1,35 @@
+\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