Feat: importation des tools
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tools/examples/chapter/1B_premier_bilan.tex
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tools/examples/chapter/1B_premier_bilan.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\title{Étude de la fonction logarithme}
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\tribe{Terminale TESL}
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\date{Mai 2020}
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\begin{document}
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\maketitle
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\section{Représentation graphique}
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La \textbf{fonction logarithme} notée $\ln$ est définie sur $\R^{+*}=\intOO{0}{+\infty}$ par $\ln :x \mapsto ln(x)$.
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\begin{minipage}{0.5\textwidth}
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\begin{itemize}
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\item Elle est continue et dérivable sur $\R^{+*}$
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\item Elle est négative sur $\intOO{0}{1}$
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\item Elle est positive sur $\intOO{1}{+\infty}$
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\item $\ln(1) = 0$ et $\ln(e) = 1$
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\end{itemize}
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\begin{tikzpicture}
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\tkzTabInit[lgt=2,espcl=5]{$x$/1,$f(x)$/2}%
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{$0$, $+\infty$}%
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\tkzTabVar{D-/$-\infty$, +/$+\infty$}%
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\end{tikzpicture}
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\end{minipage}
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\hfill
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\begin{minipage}{0.4\textwidth}
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\begin{tikzpicture}[yscale=0.8, xscale=1]
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\tkzInit[xmin=0,xmax=6,xstep=1,
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ymin=-3,ymax=3,ystep=1]
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\tkzGrid
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\tkzAxeXY[up space=0.5,right space=.5]
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\tkzFct[domain = 0.01:6, line width=1pt]{log(x)}
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\tkzText[draw,fill = brown!20](5,-2.5){$f(x)=\ln(x)$}
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\end{tikzpicture}
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\end{minipage}
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\section{Dérivée de $\ln$}
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\subsection*{Propriété}
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La dérivée de la fonction logarithme est la fonction inverse
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\[
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\forall x \in \intOO{0}{+\infty} \qquad \ln'(x) = \frac{1}{x}
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\]
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On en déduit, pour tout $x > 0$:
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\begin{itemize}
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\item $\ln'(x) = \dfrac{1}{x}$ et $\dfrac{1}{x} > 0$ alors la fonction logarithme est \dotfill
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\item $\ln''(x) = \makebox[2cm]{\dotfill}$ et $\makebox[2cm]{\dotfill}$ alors la fonction logarithme est \dotfill
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\end{itemize}
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\subsection*{Exemples de calculs}
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Calcul de la dérivée de $f(x) = 2x + 1 - 4\ln(x)$
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\afaire{}
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Calcul de la dérivée de $f(x) = (2x+1)\ln(x)$
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\afaire{}
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Calcul de la dérivée de $f(x) = \dfrac{2x+1}{\ln(x)}$
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\afaire{}
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\end{document}
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tools/examples/chapter/1E_premiers_exercices.pdf
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tools/examples/chapter/1E_premiers_exercices.pdf
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tools/examples/chapter/1E_premiers_exercices.tex
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tools/examples/chapter/1E_premiers_exercices.tex
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\title{Lorem lorem}
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\tribe{Lorem}
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\date{Mai 2020}
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\pagestyle{empty}
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\geometry{left=10mm,right=10mm, top=10mm}
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\DeclareExerciseCollection{banque}
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\xsimsetup{
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step=1,
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}
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\begin{document}
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\input{exercises.tex}
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\printcollection{banque}
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\end{document}
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12
tools/examples/chapter/cours.tex
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tools/examples/chapter/cours.tex
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\collectexercises{banque}
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\begin{exercise}[subtitle={lorem - cours}, step={1}, topics={lorem}]
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{exercise}
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\begin{exercise}[subtitle={lorem lorem - cours}, step={2}, topics={lorem}]
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{exercise}
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\collectexercisesstop{banque}
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33
tools/examples/chapter/exercises.tex
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tools/examples/chapter/exercises.tex
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\collectexercises{banque}
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\begin{exercise}[subtitle={lorem}, step={1}, topics={Logarithme}, origin={Inspiré de 23p201}]
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{exercise}
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\begin{solution}
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{solution}
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\begin{exercise}[subtitle={lorem lorem}, step={1}, topics={Logarithme}, origin={Création}]
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{exercise}
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\begin{solution}
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{solution}
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\begin{exercise}[subtitle={lorem lorem lorem}, step={2}, topics={Logarithme}, origin={BAC ES 2017 AN sept EX3}]
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{exercise}
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\begin{solution}
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
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\end{solution}
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\collectexercisesstop{banque}
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