249 lines
8.1 KiB
TeX
249 lines
8.1 KiB
TeX
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\title{Polynômes du 2e degré - Association}
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\tribe{1ST}
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\date{Mars 2020}
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\pagestyle{empty}
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\begin{document}
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Cet exercice est à faire sans la calculatrice.
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\renewcommand{\labelenumi}{$\alph{enumi}(x) = $}
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\begin{multicols}{3}
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\begin{enumerate}
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\item $2x^2$
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\item $5x^2 + 1$
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\item $2(x - 1)(x - 4)$
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\item $-2x^2$
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\item $-2(x + 3)(x - 1)$
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\item $5x^2 - 3$
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\end{enumerate}
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\end{multicols}
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\renewcommand{\labelenumi}{\arabic{enumi}.}
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\begin{enumerate}
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\item Classer les fonctions par "forme".
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\item Associer à chaque fonction le graphique qui lui correspond.
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\item Pour chaque "forme" de fonction, trouver les éléments qui permettent sans calculs de tracer l'allure de leur graphique.
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\item Pour chaque "forme", proposer une nouvelle fonction et tracer l'allure de sa représentation graphique.
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\end{enumerate}
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\begin{center}
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\begin{tabular}{cc}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{5*x*x + 1}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{5*x*x - 3}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{2*x*x}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{-2*x*x}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{2*(x-1)*(x-4)}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{-2*(x+3)*(x-1)}
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\end{tikzpicture}
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\end{tabular}
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\end{center}
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\pagebreak
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Cet exercice est à faire sans la calculatrice.
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\renewcommand{\labelenumi}{$\alph{enumi}(x) = $}
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\begin{multicols}{3}
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\begin{enumerate}
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\item $2x^2 + 3$
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\item $2(x - 2)(x - 4)$
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\item $-0.5x^2$
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\item $0.5x^2$
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\item $2x^2 - 1$
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\item $-2(x + 1)(x - 4)$
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\end{enumerate}
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\end{multicols}
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\renewcommand{\labelenumi}{\arabic{enumi}.}
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\begin{enumerate}
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\item Classer les fonctions par "forme".
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\item Associer à chaque fonction le graphique qui lui correspond.
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|
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\item Pour chaque "forme" de fonction, trouver les éléments qui permettent sans calculs de tracer l'allure de leur graphique.
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\item Pour chaque "forme", proposer une nouvelle fonction et tracer l'allure de sa représentation graphique.
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\end{enumerate}
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\begin{center}
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\begin{tabular}{cc}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{2*x*x + 3}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{2*x*x - 1}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{0.5*x*x}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{-0.5*x*x}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{2*(x-2)*(x-4)}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{-2*(x+1)*(x-4)}
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\end{tikzpicture}
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\end{tabular}
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\end{center}
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\pagebreak
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Cet exercice est à faire sans la calculatrice.
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\renewcommand{\labelenumi}{$\alph{enumi}(x) = $}
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|
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\begin{multicols}{3}
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|
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\begin{enumerate}
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\item $x^2$
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\item $-(x + 3)(x - 3)$
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|
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\item $-2x^2 + 2$
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\item $(x - 3)(x + 4)$
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\item $-2x^2 - 3$
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\item $-x^2$
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\end{enumerate}
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\end{multicols}
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\renewcommand{\labelenumi}{\arabic{enumi}.}
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|
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\begin{enumerate}
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||
|
|
\item Classer les fonctions par "forme".
|
||
|
|
\item Associer à chaque fonction le graphique qui lui correspond.
|
||
|
|
\item Pour chaque "forme" de fonction, trouver les éléments qui permettent sans calculs de tracer l'allure de leur graphique.
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|
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\item Pour chaque "forme", proposer une nouvelle fonction et tracer l'allure de sa représentation graphique.
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\end{enumerate}
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\begin{center}
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\begin{tabular}{cc}
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-10,ymax=5,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 = -5:5, line width=1pt]{-2*x*x + 2}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-10,ymax=5,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 = -5:5, line width=1pt]{-2*x*x - 3}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{x*x}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-10,ymax=5,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 = -5:5, line width=1pt]{-x*x}
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\end{tikzpicture}
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\\
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-13,ymax=2, 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 = -5:5, line width=1pt]{(x-3)*(x+4)}
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\end{tikzpicture}
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&
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\begin{tikzpicture}[yscale=.4, xscale=0.8]
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\tkzInit[xmin=-5,xmax=5,xstep=1,
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ymin=-5,ymax=10,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 = -5:5, line width=1pt]{-(x+3)*(x-3)}
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\end{tikzpicture}
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\end{tabular}
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\end{center}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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