2019-2020/TES/Continuite_convexite/Etude_Graphique/1E_tableau.tex

61 lines
2.1 KiB
TeX

\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\title{Graphiques et tableaux}
\tribe{Terminale ES}
\date{Septembre 2019}
\pagestyle{empty}
\begin{document}
\begin{exercise}[subtitle={Tableaux}]
Tracer le tableau de variation et le tableau de signe des fonctions représentées ci-dessous.
\begin{minipage}{0.4\textwidth}
\begin{tikzpicture}[scale=0.6, baseline=(a.north)]
\repere{-5}{5}{-5}{5}
\draw[very thick, color=red] plot [smooth,tension=0.5, mark=*] coordinates{(-4, -2) (-3.5, -3) (-3, 0) (-2, 1) (-1, 0) (0, -2) (1, -1) (2, -2) (2.5,0) (3, 2) (4, 3)};
\draw (4,3) node[above right] {$\mathcal{C}_f$};
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[baseline=(a.north), yscale=0.7, xscale=2, yscale=0.8]
\tkzInit[xmin=-0.2,xmax=0.2,xstep=.1,
ymin=-12,ymax=6,ystep=2]
\tkzGrid
\tkzAxeXY
\draw (-1,3) node[below left] {$\mathcal{C}_g$};
\tkzFct[domain = -.1:.2,color=red,very thick]%
{-5+x*(0.5+4*x*x*(-2+x))}
\end{tikzpicture}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Graphique}]
Pour chaque tableau ci-dessous, tracer le graphique d'une fonction qui pourrait convenir.
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[baseline=(a.north)]
\tkzTabInit[lgt=1,espcl=1]{$x$/1,$f(x)$/1}{-10, -3, -2 , -1, 6, 10}
\tkzTabLine{,+, z, -, z, +, z, -, z, +, }
\end{tikzpicture}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{tikzpicture}[baseline=(a.north)]
\tkzTabInit[lgt=1,espcl=1]{$x$/1,$g(x)$/1}{$-\infty$, -2, 1, 4, $+\infty$}
\tkzTabLine{,+, z, -, z, -, z, -, }
\end{tikzpicture}
\end{minipage}
\begin{tikzpicture}[baseline=(a.north)]
\tkzTabInit[lgt=1,espcl=2]{$x$/1,$h(x)$/1}{-5, -3, 0, 3, $+\infty$}
\tkzTabVar{+/ 2, -/ -2, +/ -1, -/ -3, +/ }
\end{tikzpicture}
\end{exercise}
\printexercise{exercise}{1}
\printexercise{exercise}{2}
\end{document}