From 4f67c97e98fea48e6a20642e3608bcc29ecf652e Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Fri, 6 Oct 2017 20:21:46 +0000 Subject: na-position (6oct17) git-svn-id: svn://tug.org/texlive/trunk@45489 c570f23f-e606-0410-a88d-b1316a301751 --- Master/texmf-dist/doc/xelatex/na-position/README | 44 ++ .../doc/xelatex/na-position/na-position.pdf | Bin 0 -> 462158 bytes .../doc/xelatex/na-position/na-position.tex | 527 +++++++++++++++++++++ 3 files changed, 571 insertions(+) create mode 100644 Master/texmf-dist/doc/xelatex/na-position/README create mode 100644 Master/texmf-dist/doc/xelatex/na-position/na-position.pdf create mode 100644 Master/texmf-dist/doc/xelatex/na-position/na-position.tex (limited to 'Master/texmf-dist/doc/xelatex') diff --git a/Master/texmf-dist/doc/xelatex/na-position/README b/Master/texmf-dist/doc/xelatex/na-position/README new file mode 100644 index 00000000000..01bd40b5062 --- /dev/null +++ b/Master/texmf-dist/doc/xelatex/na-position/README @@ -0,0 +1,44 @@ +************* README file for na-postion ********************** + +********************* ENGLISH ***************************** +This package facilitates, in most cases, the creation of tables +of relative positions of a curve and its asymptote or a curve +and a tangent in one of its points. + +It depends on the two packages "tkz-tab" and "listofitems". + +This package has to be used with polyglossia and XeLaTeX to produce +documents in Arabic. + +License : +--------- +This package can be redistributed and/or modified under the terms of the LaTeX +Project Public License (see ctan:/macros/latex/base/lppl.txt). + + + +********************* FRENCH ***************************** + +Ce paquetage facilite la création de tableaux d'études de la postion relative +d'une courbe et de son asymptote ou d'une courbe et de sa tangente en un +de ses points dans la majeure partie des cas. +Il appuie sur les deux paquetages "tkz-tab" et "listofitems". + +Cette extension est à utiliser avec l'extension "polyglossia" pour +produire des documents en arabe via "XeLaTeX". + + + +Licence +------- + +L'extension peut être redistribuée et/ou modifiée sous les termes +de la licence LaTeX Project Public (voir macros/latex/base/lppl.txt). + +Documentation +------------- + +La documentation de l'extension se trouve dans le fichier ZIP ou +dans dans le répertoire /doc/. + +Merci d'utiliser na-postion.sty. diff --git a/Master/texmf-dist/doc/xelatex/na-position/na-position.pdf b/Master/texmf-dist/doc/xelatex/na-position/na-position.pdf new file mode 100644 index 00000000000..263b1955a25 Binary files /dev/null and b/Master/texmf-dist/doc/xelatex/na-position/na-position.pdf differ diff --git a/Master/texmf-dist/doc/xelatex/na-position/na-position.tex b/Master/texmf-dist/doc/xelatex/na-position/na-position.tex new file mode 100644 index 00000000000..4cc03e85d1d --- /dev/null +++ b/Master/texmf-dist/doc/xelatex/na-position/na-position.tex @@ -0,0 +1,527 @@ +\documentclass[a4paper,12pt,openany]{article} +\input{listingcode} +\ybannernewstyle{test}{ + color = Aqua} +\begin{document} +\title{\begin{center} +\yBanner[contour=true][test]{\begin{minipage}{6cm} +\LARGE +\textarabic{الحزمة +\texttt{na-position} +}\\ +\centerline{\texttt{version1.0}} +\end{minipage} } +\end{center}} +\author{\mos{\tikz{ + \draw (0,0) node {\resizebox {17cm}{1cm}{\contour{black}{ \color{white}{\textarabic{ \yagding[ark]{76} لرسم جداول الوضعية النسبية بين منحنى و مستقيم }}}}}}}} + +\date{$20$/$08$/$2017$} + +\maketitle + +\vspace{-1cm} +\hrulefill +\thispagestyle{empty} +\begin{center} +\scalebox{2.2}{ +\begin{tikzpicture} + \draw[decorate,decoration={text along path,text={|\color{red!50}|$na-position. package - na-position-$ ||}, text align={fit to path stretching spaces}}] (0.2\paperwidth , -0.11\paperheight ) circle (1.15); +\node (A) at (0.2\paperwidth , -0.11\paperheight )[red!50!black] {بو سليم}; +\node (B) at (0.2\paperwidth , -0.09\paperheight )[green!50!black] { محمد}; +\node (C) at (0.2\paperwidth , -0.125\paperheight )[green!50!black] { ناعم}; +\draw[red!50] (0.2\paperwidth , -0.11\paperheight ) circle (0.8); +\draw[red!50] (0.2\paperwidth , -0.11\paperheight ) circle (1.3); + \end{tikzpicture}} +\end{center} +\pagestyle{empty} +\begin{tcolorbox}[breakable,enhanced jigsaw,title={ \tikz{ + \draw (0,0) node {\resizebox {!}{0.5cm}{\contour{black}{ \color{white}{\leter h}}}}}}, + colback=yellow!10!white,colframe=red!50!black, + interior style={fill overzoom image=goldshade.png,fill image opacity=0.25}, + colbacktitle=yellow!10!white, coltitle=red!56!black, + enlargepage flexible=\baselineskip,pad at break*=3mm, + watermark color=blue!35!red!25, + watermark text={\bfseries\Large \leter h}, + attach boxed title to top center={yshift=-0.25mm-\tcboxedtitleheight/2,yshifttext=2mm-\tcboxedtitleheight/2}, + boxed title style={enhanced,boxrule=0.5mm, + frame code={ \path[tcb fill frame] ([xshift=-4mm]frame.west) -- (frame.north west) + -- (frame.north east) -- ([xshift=4mm]frame.east) + -- (frame.south east) -- (frame.south west) -- cycle; }, + interior code={ \path[tcb fill interior] ([xshift=-2mm]interior.west) + -- (interior.north west) -- (interior.north east) + -- ([xshift=2mm]interior.east) -- (interior.south east) -- (interior.south west) + -- cycle;} }, + drop fuzzy shadow] +\small \tableofcontents +\end{tcolorbox} +\newpage +\pagestyle{fancy} +\cfoot{} +\lhead{} + \rhead{\resizebox {!}{0.8cm}{\naams{ + \thepage}}} +\lfoot{\naams{ + \thepage}} +\onecolumn +\setcounter{page}{1} +\pagenumbering{arabic} +\begin{paperbox}{مقدمة} +{\color{green!50!black}\centerline{ \LARGE \bantise 0}} +\begin{arab} +\color{red!40!black} +lqd wfqnA alalh t`AlY l-'in^sA' .hzmT smmyt +{\color{blue!50!black}\texttt{na-position}} , thtm brsm mxtlf jdAwl alw.d`yyT alnnsbyyT byn mn.hnY w mstqymh almqArb , 'aw byn mn.hnY w mamAssh. \\ +'in rsm jdAwl alw.d`yyT alnnsbyyT yt.tlb brmjyAt mxtlfT m_tl \texttt{GeoGebra} +w .gyyrhA w_dlk qd yst.grq wqtA w jhdA m`tbrA , lkn h_dh al.hzmT stxt.sr lk alwqt bqdr kbyr fy rsm tlk aljdAwl w ytm _dlk bmjrrd ktAbT t`lymAt bsy.tT , snf.s.sl fyhA fymA b`d +.\\ +al.hzmT 'an^s-'ahA al-'astA_dyn : nA`m m.hmmd w slym bw , hnAk mlA.h.zT mhmmT w hy 'annh 'iqt.srnA `lY rsm jdAwl alw.d`yyT fy al.hAlAt alty ykwn altqA.t` byn almn.hnY w almstqym fy nq.tT 'aw .hAlAt `dm alttqA.t` l-'anh lrsm jdAwl alw.d`yyT `ndmA ykwn alttqA.t` fy 'ak_tr mn nq.tT lys bAl-'amr alhyyn . +\end{arab} +\end{paperbox} +\begin{naam cadre}{نبذة عن الحزمة + \hfill +الحزمة +\texttt{na-position}} +\begin{arab} +al.hzmT \texttt{na-position} t`tmd 'asAsA `lY al.hzmtyn \texttt{tkz-tab} w \texttt{listofitems} +, bm`nY 'Axr lky t`ml h_dh al.hzmT `lyk bt_tbyt al.hzmtyn \texttt{tkz-tab} w \texttt{listofitems} + `lY \texttt{TeX Live} , al.hzmT \texttt{na-position} +t`ml m` al.hzmT \texttt{polyglossia} `nd alm`AljT b-- \texttt{XeLaTeX} +\end{arab} + \end{naam cadre} +\section{حالة التقاطع بين المنحنى و المستقيم في نقطة } +\begin{arab} +ltkn alddAllT $f$ alm`rrfT `lY almjmw`T $(D\sb{f}$ , $(C\sb{f})$ mn.hnAhA albyAny , $(\Delta)$ mstqym (mqArb l-- +$(C\sb{f})$ 'aw mamAs l-- $(C\sb{f})$) , nfr.d 'ann $(C\sb{f})$ w $(\Delta)$ mtqA.t`An fy alnnq.tT $A(\alpha,f(\alpha))$ . +\subsection{حالة $D\sb{f}$ من الشكل $[a,b]$ أو $]-\infty;+\infty[$} +$\triangleleft$ 'idA kAnt $D\sb{f}=[a;b]$ 'aw +$D\sb{f}=]-\infty;+\infty[$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyyT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posaa #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posaa[*\textarabic{الطرف أول + }*,\alpha, *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*){*\textarabic{إحداثيات نقطة التقاطع + }*} +\end{boxlis} +\yagding[ifsymgeowide]{8} +al.trf al-'awwl y`ny al.trf al-'aysr fy mmjmw`T altt`ryf \\ +\yagding[ifsymgeowide]{8} +al.trf al_tAny y`ny al.trf al-'aymn fy mmjmw`T altt`ryf \\ +\yagding[ifsymgeowide]{8} +\LR{\verb# \alpha #} fA.slT nq.tT alttqA.t` \\ +\yagding[ifsymgeowide]{8} +'i^sArT $\pm$ almwjwdT byn qwsyn hy 'i^sArT alw.d`yyT .hsb twAjd +$(C\sb{f})$ bAlnnsbT 'ilY $(\Delta)$ bm`nY 'i_dA kAn $(C\sb{f})$ fwq $(\Delta)$ nktb $+$ w 'i_dA $(C\sb{f})$ t.ht $(\Delta)$ nktb $-$ +\\ +\yagding[ifsymgeowide]{8} al.hA.dntyn al-'axyrtyn fy altt`lymT \LR{\verb# \posaa #} +nktb 'ism nq.tT alttqA.t` w 'i.hdA_tyAthA\\ +\underline{مثال أول}\\ +ltkn alddAllT $f$ alm`rrfT `lY $\mathbb{R}$ +kmA yly $f(x)=e\sp{x}$ w lykn $(\Delta)$ mamAs $(C\sb{f})$ `nd alnnq.tT _dAt alfA.slT $0$ 'ay m`AdlT l-- $(\Delta)$ hy : $y=x+1$ +, n`lm 'ann $(C\sb{f})$ fwq $(\Delta)$ +mn 'ajl kll `dad .hqyqy w $(C\sb{f})$ yq.t` $(\Delta)$ fy alnnq.tT $A(0;1)$ , 'i_dn t`lymT rsm jdwl alw.d`yyT byn $(C\sb{f})$ w $(\Delta)$ tkwn kmA yly : +\begin{boxlis} +\posaa[-\infty,0,+\infty](+,+){A(0;1)} +\end{boxlis} +w nt.h.sl b`d ktAbT tlk altt`lymT w alm`AljT b-- +\texttt{XeLaTeX} (b`d 'an nktb m` al.hzm +\LR{\verb# \usepackage{na-position} #}) +`lY aljdwl alttAly : +\end{arab} +\begin{myboxx} +\posaa[-\infty,0,+\infty](+,+){A(0;1)} +\end{myboxx} +\begin{arab} +\underline{مثال ثاني}\\ +ltkn $f$ dAllT m`rrfT `lY $\mathbb{R}$ 'aw `lY mjAl mn al^s^skl $[a;b]$ , +$(\Delta)$ mstqym mqArb l-- $(C\sb{f})$ +, nfr.d 'ann $(\Delta)$ yq.t` $(C\sb{f})$ +fy alnnq.tT $\Omega(\alpha , f(\alpha))$ , h_dh mxtlf .hAlAt jdAwl alw.d`yyT byn +$(\Delta)$ w $(C\sb{f})$ \\ +\underline{$(1$ .hAlT $D\sb{f}=]-\infty;+\infty[$} +\begin{myboxx} +\posaa[-\infty,\alpha,+\infty](-,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[-\infty,\alpha,+\infty](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[-\infty,\alpha,+\infty](-,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[-\infty,\alpha,+\infty](+,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\underline{$(2$ .hAlT $D\sb{f}=[a;b]$} +\begin{myboxx} +\posaa[a,\alpha, b](-,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[a,\alpha, b](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[a,\alpha, b](-,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posaa[a,\alpha, b](+,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\subsection{حالة $D\sb{f}$ من الشكل $]a,b]$ أو $]a;+\infty[$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]a;+\infty[$ 'aw $]a;b]$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posab #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posab[*\textarabic{الطرف أول + }*,\alpha, *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*){*\textarabic{إحداثيات نقطة التقاطع + }*} +\end{boxlis} +\underline{أمثلة} +\begin{myboxx} +\posab[a,\alpha, +\infty](+,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posab[a,\alpha, +\infty](-,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posab[a,\alpha, +\infty](-,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posab[a,\alpha, +\infty](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posab[a,\alpha, b](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +$f$ dAllT m`rrfT `lY almjAl $]0;+\infty[$ ; +$(C\sb{f})$ tm_tylhA albyAny ; $(\Delta)$ mqArb l-- $(C\sb{f})$ w yq.t`h fy alnnq.tT $A\left( 1,\dfrac{1}{2}\right) $ , jdwl alw.d`yyT w t^sfyrh kmA yly : +\begin{myboxx} +\posab[0,1, +\infty](+,-){A\left( 1 ;\dfrac{1}{2}\right) } +\end{myboxx} +\subsection{حالة $D\sb{f}$ من الشكل $[a,b[$ أو $]-\infty;b[$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]-\infty;b[$ 'aw $[a;b[$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posac #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posac[*\textarabic{الطرف أول + }*,\alpha, *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*){*\textarabic{إحداثيات نقطة التقاطع + }*} +\end{boxlis} +\underline{أمثلة} +\begin{myboxx} +\posac[-\infty,\alpha, b](+,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posac[-\infty,\alpha, b](-,+){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posac[-\infty,\alpha, b](-,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posac[-\infty,\alpha, b](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posac[-\infty,\alpha, b](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +\begin{myboxx} +\posac[a,\alpha, b](+,-){\Omega(\alpha ;f(\alpha))} +\end{myboxx} +$f$ dAllT m`rrfT `lY almjAl $]-\infty;2[$ ; +$(C\sb{f})$ tm_tylhA albyAny ; $(\Delta)$ mqArb l-- $(C\sb{f})$ w yq.t`h fy alnnq.tT $M( 0.5,\sqrt{2}) $ , jdwl alw.d`yyT w t^sfyrh kmA yly : +\begin{myboxx} +\posac[-\infty,0.5, 2](+,-){M(0.5;\sqrt{2})} +\end{myboxx} +\begin{NA}{\bccrayon}{yellow!45}{\leter 3} +al-'i^sArtyn $+$ w $-$ almwjwdT byn qwsyn fy kll altt`lymAt alssAbqT tat`lq bw.d`yyT +$(C\sb{f})$ bAlnnsbT 'ilY $(\Delta)$ , .hy_t 'i_dA kAn $(C\sb{f})$ fwq $(\Delta)$ nktb $+$ +w 'i_dA kAn $(C\sb{f})$ t.ht $(\Delta)$ nktb $-$ .hsb alw.d`yT almtwffrT ldyk. +\end{NA} +\subsection{حالة $D\sb{f}$ من الشكل $[a,b[\cup ]b,c]$ أو $]-\infty;b[\cup ]b,+\infty[$ } +$f$ dAllT `dadyyT m`rrfT `lY almjmw`T +$D\sb{f}=[a,b[\cup ]b,c]$ w fA.slT nq.tT alttqA.t` mn almjAl $[a,b[$ 'aw $D\sb{f}=]-\infty;b[\cup ]b,+\infty[$ w fA.slT nq.tT alttqA.t` mn almjAl $]-\infty;b[$ , fy h_dh al.hAlT lrsm jdwl alw.d`yyT smmythA \LR{\verb# \posad #} , al^s^skl al`Am lh_dh altt`lymT hw +\begin{boxlis} +\posad[*\textarabic{الطرف أول + }*,*\textarabic{فاصلة نقطة التقاطع + }*, *\textarabic{القيمة المحذوفة + }*,*\textarabic{الطرف الثاني + }*](*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*){*\textarabic{إحداثيات نقطة التقاطع + }*} +\end{boxlis} +\yagding[ifsymgeowide]{8} +al.trf al-'awwl y`ny al.trf al-'aysr fy mmjmw`T altt`ryf w hw $a$ fy .hAlT $D\sb{f}=[a,b[\cup ]b,c]$ w hw $-\infty$ \\ fy .hAlT $D\sb{f}=]-\infty;b[\cup ]b,+\infty[$ \\ +\yagding[ifsymgeowide]{8} +alqymT alm.h_dwfT hy $b$ fy .hAlT $D\sb{f}=[a,b[\cup ]b,c]$ 'aw $D\sb{f}=]-\infty;b[\cup ]b,+\infty[$ \\ +\yagding[ifsymgeowide]{8} +al.trf al_tAhy hw $c$ fy .hAlT $D\sb{f}=[a,b[\cup ]b,c]$ w hw $+\infty$ fy .hAlT +$D\sb{f}=]-\infty;b[\cup ]b,+\infty[$\\ +\yagding[ifsymgeowide]{8} +al-'i^sArAt $\pm$ hy al-'i^sArtyn $+$ 'aw $-$ +.hsb w.d` almstqym $(\Delta)$ bAlnnsbT lilmn.hnY $(C\sb{f})$ , .hy_t $+$ `ndmA ykwn +$(C\sb{f})$ fwq $(\Delta)$ w $-$ `ndmA ykwn +$(C\sb{f})$ t.ht $(\Delta)$\\ +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posad[-\infty,\alpha,2,+\infty](-,+,-){\Omega(\alpha;f(\alpha))} +\end{boxe} +\begin{boxe}{مثال ثاني} +\posad[-\infty,-1,0,+\infty](+,-,-){A(-1;f(-1))} +\end{boxe} +\begin{boxe}{مثال ثالث} +\posad[-5,-2,1,5](+,-,-){A(-2;f(-2))} +\end{boxe} +\begin{NA}{\bccrayon}{red!10}{\leter 3} +ymkn t.tbyq altt`lymT \LR{\verb# \posad #} +fy .hAlT $D\sb{f}=[a,b[\cup]b,+\infty[$ m` fA.slT nq.tT alttqA.t` mn almjAl $[a,b[$ , w 'ay.dA fy .hAlT $D\sb{f}=]-\infty,b[\cup]b,a]$ +m` fA.slT nq.tT alttqA.t` mn almjAl $]-\infty,b[$ +\end{NA} +\begin{boxe}{مثال } +\posad[-\infty,-4,1,2](-,-,+){A(-4;f(-4))} +\end{boxe} +\subsection{الوضعية \textfrench{$\setminus$posae}} +$f$ dAllT `dadyyT m`rrfT `lY almjmw`T +$D\sb{f}=[a,b[\cup ]b,c]$ w fA.slT nq.tT alttqA.t` mn almjAl $]b,c[$ 'aw $D\sb{f}=]-\infty;b[\cup ]b,+\infty[$ w fA.slT nq.tT alttqA.t` mn almjAl $]b;+\infty[$ , fy h_dh al.hAlT lrsm jdwl alw.d`yyT smmythA \LR{\verb# \posae #} , al^s^skl al`Am lh_dh altt`lymT hw +\begin{boxlis} +\posae[*\textarabic{الطرف أول + }*, *\textarabic{القيمة المحذوفة + }*,*\textarabic{فاصلة نقطة التقاطع + }*,*\textarabic{الطرف الثاني + }*](*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*,*\textarabic{إشارة $\pm$ + }*){*\textarabic{إحداثيات نقطة التقاطع + }*} +\end{boxlis} +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posae[-\infty,2,\alpha,+\infty](-,+,-){\Omega(\alpha;f(\alpha))} +\end{boxe} +\begin{boxe}{مثال ثاني} +\posae[-\infty,-1,0,+\infty](+,-,-){A(0;f(0))} +\end{boxe} +\begin{boxe}{مثال ثالث} +\posae[-5,-2,1,5](+,-,-){A(1;f(1))} +\end{boxe} +\begin{NA}{\bccrayon}{yellow!45}{\leter 3} +ymkn t.tbyq altt`lymT \LR{\verb# \posae #} +fy .hAlT $D\sb{f}=[a,b[\cup]b,+\infty[$ m` fA.slT nq.tT alttqA.t` mn almjAl $]b,+\infty[$ , w 'ay.dA fy .hAlT $D\sb{f}=]-\infty,b[\cup]b,a]$ +m` fA.slT nq.tT alttqA.t` mn almjAl $]b,a]$ +\end{NA} +\begin{boxe}{مثال } +\posae[-\infty,-4,1,2](-,-,+){A(1;f(1))} +\end{boxe} +\section{حالة عدم التقاطع بين المنحنى و المستقيم } +fy .hAlT `dm alttqA.t` byn almn.hnY +$(C\sb{f})$ w almstqym $(\Delta)$ , smyyt h_dh alw.d`yyT \LR{\verb# \posb #} w fyhA al.hAlAt almwAlyyT .hsb mjmw`T t`ryf alddAllT $f$ +\subsection{حالة $D\sb{f}$ من الشكل $[a,b]$ أو $]-\infty;+\infty[$} +$\triangleleft$ 'idA kAnt $D\sb{f}=[a;b]$ 'aw +$D\sb{f}=]-\infty;+\infty[$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyyT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posba #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posba[*\textarabic{الطرف أول + }* , *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\yagding[ifsymgeowide]{8} +al.trf al-'awwl y`ny al.trf al-'aysr fy mmjmw`T altt`ryf \\ +\yagding[ifsymgeowide]{8} +al.trf al_tAny y`ny al.trf al-'aymn fy mmjmw`T altt`ryf \\ +\yagding[ifsymgeowide]{8} +'i^sArT $\pm$ almwjwdT byn qwsyn hy 'i^sArT alw.d`yyT .hsb twAjd +$(C\sb{f})$ bAlnnsbT 'ilY $(\Delta)$ bm`nY 'i_dA kAn $(C\sb{f})$ fwq $(\Delta)$ nktb $+$ w 'i_dA $(C\sb{f})$ t.ht $(\Delta)$ nktb $-$\\ +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posba[-\infty,+\infty](-) +\end{boxe} +\begin{boxe}{مثال ثاني} +\posba[-\infty,+\infty](+) +\end{boxe} +\begin{boxe}{مثال ثالث} +\posba[a,b](+) +\end{boxe} +\begin{boxe}{مثال رابع} +\posba[a,b](-) +\end{boxe} +\subsection{حالة $D\sb{f}$ من الشكل $]a,b]$ أو $]a;+\infty[$} +$\triangleleft$ 'idA kAnt $D\sb{f}=]a;b]$ 'aw +$D\sb{f}=]a;+\infty[$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyyT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posbb #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posbb[*\textarabic{الطرف أول + }* , *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posbb[a,+\infty](-) +\end{boxe} +\begin{boxe}{مثال ثاني} +\posbb[a,+\infty](+) +\end{boxe} +\begin{boxe}{مثال ثالث} +\posbb[a,b](+) +\end{boxe} +\begin{boxe}{مثال رابع} +\posbb[a,b](-) +\end{boxe} +\subsection{حالة $D\sb{f}$ من الشكل $[a,b[$ أو $]-\infty;b[$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]-\infty;b[$ 'aw $[a;b[$ .hy_t $a$ w $b$ `dadAn .hqyqyAn , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posbc #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posbc[*\textarabic{الطرف أول + }* , *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\underline{أمثلة} +\begin{myboxe}{مثال أول} +\posbc[-\infty,b](+) +\end{myboxe} +\begin{myboxe}{مثال ثاني} +\posbc[-\infty,b](-) +\end{myboxe} +\begin{myboxe}{مثال ثالث} +\posbc[a,b](-) +\end{myboxe} +\begin{myboxe}{مثال رابع} +\posbc[a,b](+) +\end{myboxe} +\subsection{حالة $D\sb{f}$ من الشكل $]-\infty;a[ \cup ]a;+\infty[$ أو $[a,c[\cup ]c,b]$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]-\infty;a[\cup ]a;+\infty[$ 'aw +$D\sb{f}=[a,c[\cup ]c,b]$ .hy_t $a ,b,c$ 'a`dAd .hqyqyyT , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posbd #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posbd[*\textarabic{الطرف أول + }* ,*\textarabic{القيمة الممنوعة + }* , *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*,*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\yagding[ifsymgeowide]{8} +alqymT almamnw`T hy alqymT al.gyr mwjwdT fy mjmw`T altt`ryf , .hy_t 'i_dA knt +$D\sb{f}=]-\infty;a[\cup ]a;+\infty[$ +f-'inn alqymT almamnw`T hy $a$ w 'i_dA kAnt $D\sb{f}=[a,c[\cup ]c,b]$ f-'inn alqymT almamnw`T hy $c$\\ +\underline{أمثلة} +\begin{myboxe}{مثال أول} +\posbd[-\infty,\alpha,+\infty](+,+) +\end{myboxe} +\begin{myboxe}{مثال ثاني} +\posbd[-\infty,a,+\infty](-,+) +\end{myboxe} +\begin{myboxe}{مثال ثالث} +\posbd[-\infty,a,+\infty](-,-) +\end{myboxe} +\begin{myboxe}{مثال رابع} +\posbd[-\infty,\theta,+\infty](+,-) +\end{myboxe} +\begin{myboxe}{مثال خامس} +\posbd[a,\theta,b](+,-) +\end{myboxe} +\begin{NA}{\bctrombone}{Aquamarine}{\leter 2} +\begin{arab} +ymkn 'ist`mAl altt`lymT \LR{\verb# \posbd #} +'i_dA kAnt 'ay.dA $D\sb{f}$ mn al-'a^skAl alttAlyyT ; $[a,c[\cup ]c;+\infty[$ 'aw +$]-\infty,c[\cup ]c;b]$ .hy_t fy klA mn al.hAltyn alqymT almamnw`T hy $c$ +\end{arab} +\end{NA} +\subsection{حالة $D\sb{f}$ من الشكل $]-\infty;a[ \cup ]b;+\infty[$ أو $[c,a[\cup ]b,d]$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]-\infty;a[\cup ]b;+\infty[$ 'aw +$D\sb{f}=[c,a[\cup ]b,d]$ .hy_t $a ,b,c ,d$ 'a`dAd .hqyqyyT , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posbe #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posbe[*\textarabic{الطرف أول + }* ,*\textarabic{القيمة الممنوعة الأولى + }* ,*\textarabic{القيمة الممنوعة الثانية + }*, *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*,*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\yagding[ifsymgeowide]{8} +alqymT almamnw`T al-'awlY hy $a$ w alqymT almamnw`T al_tAnyyT hy $b$ fy .hAlT +$D\sb{f}=]-\infty;a[\cup ]b ;+\infty[$ 'aw +$D\sb{f}=[c,a[\cup ]b,d]$ \\ +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posbe[-\infty,1,2,+\infty](+,+) +\end{boxe} +\begin{boxe}{مثال ثاني} +\posbe[-\infty,a,b,+\infty](-,-) +\end{boxe} +\begin{boxe}{مثال ثالث} +\posbe[-\infty,\alpha,\theta,+\infty](-,+) +\end{boxe} +\begin{boxe}{مثال رابع} +\posbe[-\infty,\dfrac{1}{2},\sqrt{2},+\infty](+,-) +\end{boxe} +\begin{NA}{\bctrombone}{DarkSeaGreen1}{\leter 2} +\begin{arab} +ymkn 'ist`mAl altt`lymT \LR{\verb# \posbe #} +'i_dA kAnt 'ay.dA $D\sb{f}$ mn al-'a^skAl alttAlyyT ; $[c,a[\cup ]b;+\infty[$ 'aw +$]-\infty,a[\cup ]b;d]$ .hy_t fy klA mn al.hAltyn almjAl almamnw` hw $[a,b]$ +\end{arab} +\end{NA} +w h_dA m_tAl `n _dlk : +\begin{boxe}{مثال } +\posbe[-\infty,-1,1,2](-,+) +\end{boxe} +\subsection{حالة $D\sb{f}$ من الشكل $]-\infty;a] \cup [b;+\infty[$ أو $[c,a]\cup [b,d]$} +$\triangleleft$ 'idA kAnt +$D\sb{f}=]-\infty;a]\cup [b;+\infty[$ 'aw +$D\sb{f}=[c,a]\cup [b,d]$ .hy_t $a ,b,c ,d$ 'a`dAd .hqyqyyT , f-'in jdwl alw.d`yyT alnnsbyayT byn $(C\sb{f})$ w $(\Delta)$ smyyth alw.d`yyT \LR{\verb# \posbf #}, al^skl al`Am lt`lymT rsmh kmA yly : +\begin{boxlis} +\posbf[*\textarabic{الطرف أول + }* ,*\textarabic{القيمة الأولى + }* ,*\textarabic{القيمة الثانية + }*, *\textarabic{الطرف ثاني + }*](*\textarabic{إشارة $\pm$ }*,*\textarabic{إشارة $\pm$ }*) +\end{boxlis} +\yagding[ifsymgeowide]{8} +alqymT al-'awlY hy $a$ w alqymT al_tAnyyT hy $b$ 'i_dA kAnt $D\sb{f}=]-\infty;a]\cup [b;+\infty[$ 'aw $D\sb{f}=[c,a]\cup [b,d]$\\ +\underline{أمثلة} +\begin{boxe}{مثال أول} +\posbf[-\infty,1,2,+\infty](+,+) +\end{boxe} +\begin{boxe}{مثال ثاني} +\posbf[-\infty,-2,3,+\infty](-,+) +\end{boxe} +\begin{boxe}{مثال ثاني} +\posbf[-\infty,-2,3,+\infty](-,-) +\end{boxe} +\begin{boxe}{مثال ثالث} +\posbf[-5,1,2,5](-,-) +\end{boxe} +\begin{NA}{\bctrombone}{DarkSeaGreen1}{\leter 2} +\begin{arab} +ymkn 'ist`mAl altt`lymT \LR{\verb# \posbf #} +'i_dA kAnt 'ay.dA $D\sb{f}$ mn al-'a^skAl alttAlyyT ; $[c,a]\cup [b;+\infty[$ 'aw +$]-\infty,a]\cup [b;d]$ .hy_t fy klA mn al.hAltyn almjAl almamnw` hw $[a,b]$ +\end{arab} +\end{NA} +\begin{boxe}{مثال } +\posbf[1,1.5,2,+\infty](+,-) +\end{boxe} +\begin{NA}{\bcattention}{Plum1}{\leter 2} +\begin{arab} +fy kll al.hAlAt alssAbqT , lw tlA.h.z kAn 'ism almn.hnY $(C\sb{f})$ w 'ism almstqym $(\Delta)$ , lt.gyyrhmA , fq.t n.dyf altt`lymtyn +\begin{boxlis} +\def\Nplot{*\textarabic{اسم المنحنى + }*} +\def\Nline{*\textarabic{إسم المستقيم + }*} +\end{boxlis} +qbl altt`lymAt \texttt{pos} +\end{arab} +\end{NA} +\begin{boxe}{مثال } +\def\Nplot{C\sb{\ell}} +\def\Nline{T} +\posbf[1,1.5,2,+\infty](+,-) +\end{boxe} +\begin{NA}{\bcfleur}{MistyRose1}{\leter 7} +\begin{arab} +fy al-'axyr , 'aqwl 'ann al.hzmT +\texttt{na-position} tsA`d `lY rsm 'a.glb .hAlAt jdAwl alw.d`yyT byn mn.hnY w mstqymh almqArb 'aw mamAsh , lkn lys kll al.hAlAt , l-ann _dlk al-'amr lil-'asf qd 'ist`.sy `lyyA , ntmnY 'an tkwn h_dh al.hzmT bdAyT l-'in^sA' .hzmT 'a^sml t`.ty kll .hAlAt aljdAwl mhmA t.gyyrt mjmw`T t`ryf alddAlT alty ym_tlhA almn.hnY .\\ +تقبلوا تحيات الأستاذين ناعم محمد و سليم بو +\end{arab} +\end{NA} +\end{arab} + +\end{document} + -- cgit v1.2.3