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b/3ePasserelles/Nombres_Calculs/Calcul_litteral/formule_euler.tex new file mode 100644 index 0000000..9f394c0 --- /dev/null +++ b/3ePasserelles/Nombres_Calculs/Calcul_litteral/formule_euler.tex @@ -0,0 +1,70 @@ +\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 & Nombre de sommets & Nombre d'arêtes & Nombre de faces & \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} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/3ePasserelles/Nombres_Calculs/Calcul_litteral/index.rst b/3ePasserelles/Nombres_Calculs/Calcul_litteral/index.rst new file mode 100644 index 0000000..30479ca --- /dev/null +++ b/3ePasserelles/Nombres_Calculs/Calcul_litteral/index.rst @@ -0,0 +1,23 @@ +Découverte du calcul littéral avec les 3e passerelles pour l'année 2017-2018 +########################################################################### + +:date: 2017-11-13 +:modified: 2017-11-13 +:tags: Calcul littéral +:category: 3e +:authors: Bertrand Benjamin +:summary: Redécouverte des fractions et des calculs associés avec les 3ePasserelles pour l'année 2017-2018. + + + +Étape 1 +======= + +Découverte de la `formule d'Euler <./formule_euler.pdf>`_ + +Étape 2 +======= + +Étape 3 +======= +