From 0e264c07861247608d6603d7467144007ec88067 Mon Sep 17 00:00:00 2001
From: Bertrand Benjamin <benjamin.bertrand@opytex.org>
Date: Tue, 21 Nov 2017 09:00:23 +0300
Subject: [PATCH] =?UTF-8?q?D=C3=A9but=20du=20calcul=20litt=C3=A9ral=20avec?=
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---
 .../Developper_reduire/fig/pave_droit.pdf     | Bin 0 -> 1867 bytes
 .../Developper_reduire/fig/pave_droit.svg     | 198 ++++++++++++++++++
 .../Developper_reduire/formule_euler.pdf      | Bin 0 -> 16983 bytes
 .../Developper_reduire/formule_euler.tex      |  69 ++++++
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 create mode 100644 3e/Calcul_litteral/Developper_reduire/fig/pave_droit.svg
 create mode 100644 3e/Calcul_litteral/Developper_reduire/formule_euler.pdf
 create mode 100644 3e/Calcul_litteral/Developper_reduire/formule_euler.tex

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diff --git a/3e/Calcul_litteral/Developper_reduire/formule_euler.tex b/3e/Calcul_litteral/Developper_reduire/formule_euler.tex
new file mode 100644
index 0000000..1d5be30
--- /dev/null
+++ b/3e/Calcul_litteral/Developper_reduire/formule_euler.tex
@@ -0,0 +1,69 @@
+\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}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+