2019-2020/TES/Continuite_convexite/Etude_Graphique/3E_convexite.tex

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2020-05-05 07:53:14 +00:00
\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\title{Autour de la notion de convexité}
\tribe{Terminale ES}
\date{Octobre 2019}
\pagestyle{empty}
\newcommand\lesgraphiques{%
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.3]{./fig/C_f_QCM_liban2018}
\begin{center}
Représentation graphique de la fonction $f$
\end{center}
\end{minipage}
\hfill
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[xscale=0.8, yscale=]
\tkzInit[xmin=-5,xmax=5,xstep=1,
ymin=-4,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -5:5,color=red,very thick]%
{0.25*x**4-1.5*x**2-x+1}
\draw (3, 2) node [color=black, below right] {$\matcal{C}_g$}
\end{tikzpicture}
\begin{center}
Représentation graphique de la fonction $g$
\end{center}
\end{minipage}
\vfill
\begin{minipage}{0.3\textwidth}
\begin{tikzpicture}[xscale=0.5, yscale=1]
\tkzInit[xmin=0,xmax=10,xstep=1,
ymin=0,ymax=3,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = 0:10,color=red,very thick]%
{(2*x+1)*2.7**(-0.5*x)}
\draw (9, 1) node [color=black, below] {$\matcal{C}_h$}
\end{tikzpicture}
\end{minipage}
\hfill
\begin{minipage}{0.3\textwidth}
\begin{tikzpicture}[xscale=0.5, yscale=1]
\tkzInit[xmin=0,xmax=10,xstep=1,
ymin=-1,ymax=2,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = 0:10,color=red,very thick]%
{(-x+1.5)*2.7**(-0.5*x)}
\draw (9, 1) node [color=black, below] {$\matcal{C}_{h'}$}
\end{tikzpicture}
\end{minipage}
\hfill
\begin{minipage}{0.3\textwidth}
\begin{tikzpicture}[xscale=0.5, yscale=1]
\tkzInit[xmin=0,xmax=10,xstep=1,
ymin=-2,ymax=1,ystep=1]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = 0:10,color=red,very thick]%
{(0.5*x-1.75)*2.7**(-0.5*x)}
\draw (9, 1) node [color=black, below left] {$\matcal{C}_{h''}$}
\end{tikzpicture}
\end{minipage}
\begin{center}
Représentations graphiques de la fonction $h$ et de ses dérivées
\end{center}
}
\begin{document}
\lesgraphiques
\vfill
\lesgraphiques
\end{document}