Début du calcul littéral avec les 302

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Bertrand Benjamin 2017-11-21 09:00:23 +03:00
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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\author{}
\date{Novembre 2017}
\title{Formule d'Euler}
\tribe{Troisième}
\renewcommand{\arraystretch}{1.5}
\begin{document}
\maketitle
Le but de ce problème est d'arriver à prouver un résultat concernant les prismes droits.
\begin{center}
\includegraphics[scale=0.7]{./fig/pave_droit}
\end{center}
\begin{enumerate}
\item Complète les 4 premières colonnes du tableau en t'aidant des prismes ci-dessus.
\hspace{-0.5cm}
\begin{tabular}{|*{5}{p{3cm}|}}
\hline
Nombre de sommets par base (n) & Nombre de sommets (s) & Nombre d'arêtes (a) & Nombre de faces (f) & \dotfill \\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
&&&&\\
\hline
\end{tabular}
\item Explique comment sans avoir à faire un dessin, on pourrait compléter le tableau suivant.
\hspace{-0.5cm}
\begin{tabular}{|*{5}{p{3cm}|}}
\hline
Nombre de sommets par base & Nombre de sommets & Nombre d'arêtes & Nombre de faces & \dotfill \\
\hline
15 &&&&\\
\hline
100 &&&&\\
\hline
\end{tabular}
\item Faire une conjecture sur une propriété des prismes droits.
\item Démontrer la conjecture.
\end{enumerate}
\end{document}
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