Début du calcul littéral avec les 302
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3e/Calcul_litteral/Developper_reduire/fig/pave_droit.pdf
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3e/Calcul_litteral/Developper_reduire/formule_euler.pdf
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3e/Calcul_litteral/Developper_reduire/formule_euler.pdf
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3e/Calcul_litteral/Developper_reduire/formule_euler.tex
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3e/Calcul_litteral/Developper_reduire/formule_euler.tex
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\author{}
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\date{Novembre 2017}
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\title{Formule d'Euler}
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\tribe{Troisième}
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\renewcommand{\arraystretch}{1.5}
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\begin{document}
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\maketitle
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Le but de ce problème est d'arriver à prouver un résultat concernant les prismes droits.
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\begin{center}
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\includegraphics[scale=0.7]{./fig/pave_droit}
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\end{center}
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\begin{enumerate}
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\item Complète les 4 premières colonnes du tableau en t'aidant des prismes ci-dessus.
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\hspace{-0.5cm}
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\begin{tabular}{|*{5}{p{3cm}|}}
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\hline
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Nombre de sommets par base (n) & Nombre de sommets (s) & Nombre d'arêtes (a) & Nombre de faces (f) & \dotfill \\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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&&&&\\
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\hline
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\end{tabular}
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\item Explique comment sans avoir à faire un dessin, on pourrait compléter le tableau suivant.
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\hspace{-0.5cm}
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\begin{tabular}{|*{5}{p{3cm}|}}
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\hline
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Nombre de sommets par base & Nombre de sommets & Nombre d'arêtes & Nombre de faces & \dotfill \\
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\hline
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15 &&&&\\
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\hline
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100 &&&&\\
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\hline
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\end{tabular}
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\item Faire une conjecture sur une propriété des prismes droits.
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\item Démontrer la conjecture.
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\end{enumerate}
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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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