69 lines
1.7 KiB
TeX
69 lines
1.7 KiB
TeX
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\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/tools/style/classDS}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/Archive/2014-2015/2014_2015}
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% Title Page
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\titre{septembre 1}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\premiereS}
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\date{18 septembre 2014}
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%\duree{1 heure}
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\sujet{\Var{infos.num}}
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% DS DSCorr DM DMCorr Corr
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\typedoc{DM}
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\begin{document}
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\huge
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\maketitle
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Vous collerez le sujet sur votre copie.
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\begin{Exo}
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Développer puis simplifier les expressions suivantes
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\Block{set A = RdExpression("(x + {a})(x - {b})", ["{a} > 0", "{b} > 0"])()}
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\Block{set B = RdExpression("(x + {a})^2", ["{a} > 0"])()}
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\Block{set C = RdExpression("(x + {a})(x - {b})", ["{a} > 0", "{b} > 0"])()}
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\begin{enumerate}
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\item $A = \Var{ A }$
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\item $B = \Var{ B }$
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\item $C = \Var{ C }$
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\end{enumerate}
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\end{Exo}
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\begin{Exo}
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\Block{set f = RdExpression("{a}x^2 + {b}", ["{b} > 0"])()}
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Soit $f : x \mapsto \Var{f}$.
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Calculer les quantités suivantes (simplifier quand c'est possible)
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\begin{enumerate}
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\item $f(1)$
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\item $f(1 + h)$
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\item $f(h - 2)$
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\end{enumerate}
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\end{Exo}
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\begin{Exo}
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Factoriser les quantités suivantes
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\Block{set A = RdExpression("{a} x^2 + {b}x", ["{b} > 0"])()}
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\Block{set B = RdExpression("{c}({a}x + {b}) + ({a}x + {b})({c}x + {d})", ["{b} > 0", "{d} > 0"])()}
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\Block{set C = RdExpression("{a} x^2 - {b}x", ["{b} > 0"])()}
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\begin{enumerate}
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\item $A = \Var{ A }$
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\item $B = \Var{ B }$
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\item $C = \Var{ C }$
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\end{enumerate}
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\end{Exo}
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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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