Import work from year 2013-2014

2017-06-16 09:46:40 +03:00
commit 32262a4ecf
1788 changed files with 113187 additions and 0 deletions
--- a/4e/Geometrie/Thales/exo/exo1.pdf
+++ b/4e/Geometrie/Thales/exo/exo1.pdf
--- a/4e/Geometrie/Thales/exo/exo1.tex
+++ b/4e/Geometrie/Thales/exo/exo1.tex
@@ -0,0 +1,94 @@
+\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
+\usepackage{tikz}
+\usetikzlibrary{calc}
+
+% Title Page
+\title{Thalès- Exercices}
+\author{}
+\date{}
+
+\fancyhead[L]{Quatrième}
+\fancyhead[C]{\Thetitle}
+\fancyhead[R]{\thepage}
+
+
+\begin{document}
+\thispagestyle{fancy}
+
+\textbf{Calcul de la hauteur d'une pyramide, une légende}
+\includegraphics[scale=0.45]{./fig/pyramide}
+
+\vfill
+
+Dimensions observées par Thalès (en coudées, 1 coudées $\approx$ 52.5cm)
+ \begin{itemize}
+     \item Côté de la pyramide: 442 coudées
+     \item Taille de l'ombre de la pyramide: 404 coudées.
+     \item Taille du baton: 5 coudées.
+     \item Taille de l'ombre du baton: 11 coudées.
+ \end{itemize}
+
+ \textbf{La légende dit que, grâce à ces informations, Thalès, lors d'un voyage en Égypte, a réussi à mesurer la hauteur de la pyramide.}
+
+\vfill
+\eject
+
+\begin{Exo}
+    Calculer les longueurs manquantes sur les dessins suivants.
+    \begin{enumerate}
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/ABCMN.pdf}
+            \end{minipage}
+            \begin{minipage}{0.15\textwidth}
+                \begin{itemize}
+                    \item $(BC) // (MN)$
+                    \item $AN = 3$
+                    \item $AC = 6$
+                    \item $MN = 4$
+                    \item $AM = 5$
+                \end{itemize}
+            \end{minipage}
+
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/IJKLM.pdf}
+            \end{minipage}
+            \begin{minipage}{0.2\textwidth}
+                \begin{itemize}
+                    \item $(JK) // (LM)$
+                    \item $IM = 6$
+                    \item $IL = 6$
+                    \item $LM = 5$
+                    \item $JK = 9$
+                \end{itemize}
+            \end{minipage}
+
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/USTXY.pdf}
+            \end{minipage}
+            \begin{minipage}{0.2\textwidth}
+                \begin{itemize}
+                    \item $(YX) // (ST)$
+                    \item $US = 10$
+                    \item $ST = 11$
+                    \item $UT = 5$
+                    \item $YX = 10$
+                \end{itemize}
+            \end{minipage}
+    \end{enumerate}
+
+    Le coefficent de proportionnalité des longueurs des triangles est appelé rapport de réduction (ou d'agrandissement). Calculer ce rapport pour tous les triangles.
+
+\end{Exo}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/4e/Geometrie/Thales/exo/exo2.pdf
+++ b/4e/Geometrie/Thales/exo/exo2.pdf
--- a/4e/Geometrie/Thales/exo/exo2.tex
+++ b/4e/Geometrie/Thales/exo/exo2.tex
@@ -0,0 +1,92 @@
+\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
+\usepackage{tikz}
+\usetikzlibrary{calc}
+
+% Title Page
+\title{Thalès- Exercices}
+\author{}
+\date{}
+
+\fancyhead[L]{Quatrième}
+\fancyhead[C]{\Thetitle}
+\fancyhead[R]{\thepage}
+
+
+\begin{document}
+\thispagestyle{fancy}
+
+\textbf{Évacuation d'un téléphérique}
+Le téléphérique qui lie Chamonix au sommet du Mont Blanc va être construit. Le constructeur pense avant tout à la sécurité. Il veut installer une corde dans le téléphérique pour évacuer les personnes en cas de panne. \textbf{De quelle longueur devra être cette corde?}
+\includegraphics[scale=0.45]{./fig/Telepherique}
+
+\vfill
+
+Dimensions enregistrées pour les travaux:
+ \begin{itemize}
+     \item Différence d'altitude entre Chamonix et le Mont Blanc: 3815m.
+     \item Longueur du téléphérique: 10km.
+     \item Distance parcourue par le téléphérique avant d'atteindre le pied de la montagne: 3km
+ \end{itemize}
+
+\vfill
+\eject
+
+\begin{Exo}
+    Calculer les longueurs manquantes sur les dessins suivants.
+    \begin{enumerate}
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/ABCMN.pdf}
+            \end{minipage}
+            \begin{minipage}{0.15\textwidth}
+                \begin{itemize}
+                    \item $(BC) // (MN)$
+                    \item $AN = 3$
+                    \item $AC = 6$
+                    \item $MN = 4$
+                    \item $AM = 5$
+                \end{itemize}
+            \end{minipage}
+
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/IJKLM.pdf}
+            \end{minipage}
+            \begin{minipage}{0.2\textwidth}
+                \begin{itemize}
+                    \item $(JK) // (LM)$
+                    \item $IM = 6$
+                    \item $IL = 6$
+                    \item $LM = 5$
+                    \item $JK = 9$
+                \end{itemize}
+            \end{minipage}
+
+        \item 
+            \begin{minipage}{0.2\textwidth}
+                \includegraphics[scale=0.2]{./fig/USTXY.pdf}
+            \end{minipage}
+            \begin{minipage}{0.2\textwidth}
+                \begin{itemize}
+                    \item $(YX) // (ST)$
+                    \item $US = 10$
+                    \item $ST = 11$
+                    \item $UT = 5$
+                    \item $YX = 10$
+                \end{itemize}
+            \end{minipage}
+    \end{enumerate}
+
+    Le coefficent de proportionnalité des longueurs des triangles est appelé rapport de réduction (ou d'agrandissement). Calculer ce rapport pour tous les triangles.
+
+\end{Exo}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/4e/Geometrie/Thales/exo/exo3.pdf
+++ b/4e/Geometrie/Thales/exo/exo3.pdf
--- a/4e/Geometrie/Thales/exo/exo3.tex
+++ b/4e/Geometrie/Thales/exo/exo3.tex
@@ -0,0 +1,67 @@
+\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
+\usepackage{tikz}
+\usetikzlibrary{calc}
+
+% Title Page
+\title{Thalès- Exercices}
+\author{}
+\date{}
+
+\fancyhead[L]{Quatrième}
+\fancyhead[C]{\Thetitle}
+\fancyhead[R]{\thepage}
+
+
+\begin{document}
+\thispagestyle{fancy}
+
+\begin{Exo}
+
+\textbf{Évacuation d'un téléphérique}
+
+Le téléphérique qui lie Chamonix au sommet du Mont Blanc va être construit. Le constructeur pense avant tout à la sécurité. Il veut installer une corde dans le téléphérique pour évacuer les personnes en cas de panne. \textbf{De quelle longueur devra être cette corde?}
+\includegraphics[scale=0.45]{./fig/Telepherique}
+
+\vfill
+
+Dimensions enregistrées pour les travaux:
+ \begin{itemize}
+     \item Différence d'altitude entre Chamonix et le Mont Blanc: 3815m.
+     \item Longueur du téléphérique: 10km.
+     \item Distance parcourue par le téléphérique avant d'atteindre le pied de la montagne: 3km
+ \end{itemize}
+\end{Exo}
+
+\vfill
+\eject
+
+\begin{Exo}
+    Inspiré par l'expérience de Thalès, Tom en voyage à Pise veut mesurer la tour penchée grâce à son ombre. Il se renseigne et apprend qu'elle est penchée de $4,19^o$ comme sur le dessin suivant:
+    \begin{center}
+        \includegraphics[scale=0.4]{./fig/ombre_pise}
+    \end{center}
+    \begin{enumerate}
+        \item Comment doit-il placer son bâton pour pouvoir appliquer le théorème de Thalès? Dessiner le baton sur le dessin.
+
+            Une fois le bâton installé, il mesure les distances suivantes:
+            \begin{itemize}
+                \item Diamètre de la tour: 15.5m.
+                \item Taille du baton 1,5m.
+                \item Taille de l'ombre du baton: 2m
+                \item Taille de l'ombre de la tour: 66,95m
+            \end{itemize}
+        \item Reporter les mesures sur le dessin.
+        \item Calculer la hauteur de la tour de Pise.
+    \end{enumerate}
+
+\end{Exo}
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/4e/Geometrie/Thales/exo/exo3_b.pdf
+++ b/4e/Geometrie/Thales/exo/exo3_b.pdf
--- a/4e/Geometrie/Thales/exo/exo3_b.tex
+++ b/4e/Geometrie/Thales/exo/exo3_b.tex
@@ -0,0 +1,72 @@
+\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
+\usepackage{tikz}
+\usetikzlibrary{calc}
+
+% Title Page
+\title{Thalès- Exercices}
+\author{}
+\date{}
+
+\fancyhead[L]{Quatrième}
+\fancyhead[C]{\Thetitle}
+\fancyhead[R]{\thepage}
+
+
+\begin{document}
+\thispagestyle{fancy}
+\begin{Exo}
+    Inspiré par l'expérience de Thalès, Tom en voyage à Pise veut mesurer la tour penchée grâce à son ombre. Il se renseigne et apprend qu'elle est penchée de $4,19^o$ comme sur le dessin suivant:
+    \begin{center}
+        \includegraphics[scale=0.4]{./fig/ombre_pise}
+    \end{center}
+    \begin{enumerate}
+        \item Comment doit-il placer son bâton pour pouvoir appliquer le théorème de Thalès? Dessiner le baton sur le dessin.
+
+            Une fois le bâton installé, il mesure les distances suivantes:
+            \begin{itemize}
+                \item Diamètre de la tour: 15.5m.
+                \item Taille du baton 1,5m.
+                \item Taille de l'ombre du baton: 2m
+                \item Taille de l'ombre de la tour: 66,95m
+            \end{itemize}
+        \item Reporter les mesures sur le dessin.
+        \item Calculer la hauteur de la tour de Pise.
+    \end{enumerate}
+
+\end{Exo}
+
+\setcounter{exo}{0}
+
+\eject
+
+\begin{Exo}
+    Inspiré par l'expérience de Thalès, Tom en voyage à Pise veut mesurer la tour penchée grâce à son ombre. Il se renseigne et apprend qu'elle est penchée de $4,19^o$ comme sur le dessin suivant:
+    \begin{center}
+        \includegraphics[scale=0.4]{./fig/ombre_pise}
+    \end{center}
+    \begin{enumerate}
+        \item Comment doit-il placer son bâton pour pouvoir appliquer le théorème de Thalès? Dessiner le baton sur le dessin.
+
+            Une fois le bâton installé, il mesure les distances suivantes:
+            \begin{itemize}
+                \item Diamètre de la tour: 15.5m.
+                \item Taille du baton 1,5m.
+                \item Taille de l'ombre du baton: 2m
+                \item Taille de l'ombre de la tour: 66,95m
+            \end{itemize}
+        \item Reporter les mesures sur le dessin.
+        \item Calculer la hauteur de la tour de Pise.
+    \end{enumerate}
+
+\end{Exo}
+
+\eject
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+
--- a/4e/Geometrie/Thales/exo/fig/ABCMN.pdf
+++ b/4e/Geometrie/Thales/exo/fig/ABCMN.pdf
--- a/4e/Geometrie/Thales/exo/fig/IJKLM.pdf
+++ b/4e/Geometrie/Thales/exo/fig/IJKLM.pdf
--- a/4e/Geometrie/Thales/exo/fig/Telepherique.pdf
+++ b/4e/Geometrie/Thales/exo/fig/Telepherique.pdf
--- a/4e/Geometrie/Thales/exo/fig/Telepherique.svg
+++ b/4e/Geometrie/Thales/exo/fig/Telepherique.svg
@@ -0,0 +1,105 @@
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+++ b/4e/Geometrie/Thales/exo/fig/tour_pise.svg
--- a/4e/Geometrie/Thales/exo/index.rst
+++ b/4e/Geometrie/Thales/exo/index.rst
@@ -0,0 +1,39 @@
+Notes sur divers exercices autour du théorème de Thales
+#######################################################
+
+:date: 2014-07-01
+:modified: 2014-07-01
+:tags: Geometrie,Exo
+:category: 4e
+:authors: Benjamin Bertrand
+:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
+
+
+
+    `Lien vers exo3_b.pdf <exo3_b.pdf>`_
+
+    `Lien vers exo2.pdf <exo2.pdf>`_
+
+    `Lien vers exo1.pdf <exo1.pdf>`_
+
+    `Lien vers exo2.tex <exo2.tex>`_
+
+    `Lien vers exo3_b.tex <exo3_b.tex>`_
+
+    `Lien vers exo1.tex <exo1.tex>`_
+
+    `Lien vers exo3.tex <exo3.tex>`_
+
+    `Lien vers exo3.pdf <exo3.pdf>`_
+
+    `Lien vers fig/ombre_pise.pdf <fig/ombre_pise.pdf>`_
+
+    `Lien vers fig/pyramide.pdf <fig/pyramide.pdf>`_
+
+    `Lien vers fig/USTXY.pdf <fig/USTXY.pdf>`_
+
+    `Lien vers fig/ABCMN.pdf <fig/ABCMN.pdf>`_
+
+    `Lien vers fig/IJKLM.pdf <fig/IJKLM.pdf>`_
+
+    `Lien vers fig/Telepherique.pdf <fig/Telepherique.pdf>`_