84 lines
2.6 KiB
TeX
84 lines
2.6 KiB
TeX
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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2014-2015/2014_2015}
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% Title Page
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% \titre{2}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\PSTMG}
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\date{mars 2015}
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%\printanswers
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\begin{document}
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\begin{questions}
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\question
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\begin{parts}
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\part Tracer la une fonction qui correspond au tableau de variation suivant
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\hspace{-1cm}
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\begin{tikzpicture}
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\tkzTabInit[espcl=2]{$x$/1,$f(x)$/2}{-4, -2, 0, 1, 2, 4}
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\tkzTabVar{-/{-4}, +/{1}, -/{-3}, +/{0}, -/{-3}, +/{3}}
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\end{tikzpicture}
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\part Quel est le maximum de la fonction $f$ pour quelle valeur de $x$ est-il atteind?
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\part Quel est le minimum de la fonction $f$ pour quelle valeur de $x$ est-il atteind?
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\end{parts}
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\question
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\begin{parts}
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\part Tracer la une fonction qui correspond au tableau de variation suivant
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\begin{tikzpicture}
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\tkzTabInit[espcl=2]{$x$/1,$g(x)$/2}{$-\infty$, -2, 1, 2, $+\infty$}
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\tkzTabVar{-/{}, +/{1}, -/{-3}, +/{1}, -/{}}
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\end{tikzpicture}
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\part Quel est le maximum de la fonction $g$ pour quelle valeur de $x$ est-il atteind?
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\part Cette fonction a-t-elle un minimum?
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\end{parts}
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\pagebreak
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\question
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Tracer le tableau de variation des fonctions suivantes
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\vfill
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\hspace{-1cm}
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\begin{tikzpicture}[scale=0.8]
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\repere{-4}{4}{-4}{4}
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\clip (-4,-4) rectangle (4,4);
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\draw[very thick, domain=-4:4, color=red] plot (\x, {-\x*\x + 2*\x + 1});
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\end{tikzpicture}
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\hfill
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\begin{tikzpicture}[scale=0.8]
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\repere{-4}{4}{-4}{4}
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\clip (-4,-4) rectangle (4,4);
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\draw[very thick, domain=-2.5:1.5, color=red] plot (\x, {2*\x + 1});
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\end{tikzpicture}
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\vfill
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\hspace{-1cm}
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\begin{tikzpicture}[scale=0.8]
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\repere{-4}{4}{-4}{4}
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\clip (-4,-4) rectangle (4,4);
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\draw[very thick, domain=-4:4, color=red] plot (\x, {\x*\x - 2*\x - 3});
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%\draw[very thick, domain=0.2:4.2, color = red] plot (\x, {1/\x});
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\end{tikzpicture}
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\hfill
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\begin{tikzpicture}[scale=0.8]
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\repere{-4}{4}{-4}{4}
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\clip (-4,-4) rectangle (4,4);
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\draw[very thick, domain=-4:4, color=red] plot [samples=300] (\x, {\x*cos(deg(\x))});
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\end{tikzpicture}
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\vfill
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\end{questions}
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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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