import work from year 2015-2016

3e/Geometrie/Thales_agrandissement/Exo/pise_agrandissement.tex

@@ -0,0 +1,117 @@
+\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
+\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
+
+% Title Page
+\titre{Thalès et agrandissement - Exercices}
+% \seconde \premiereS \PSTMG \TSTMG
+\classe{Troisième}
+\date{Novembre 2015}
+
+
+\begin{document}
+
+\begin{Exo}
+    \begin{enumerate}
+        \item Construit un parallélogramme $RAVI$ tel que $RA = 6cm$, $IV = 4cm$ et $\widehat{RIV} = 130^{o}$.
+        \item Construit un agrandissement de rapport $\dfrac{5}{4}$ du parallélogramme $RAVI$.
+        \item Quel est la nature de la figure obtenue?
+        \item En déduire la mesure des angles de la figure agrandie.
+    \end{enumerate}
+\end{Exo}
+
+\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:
+
+    \hspace{-1cm}
+    \begin{minipage}{0.3\textwidth}
+        \includegraphics[scale=0.3]{./fig/ombre_pise}
+    \end{minipage}
+    \begin{minipage}{0.2\textwidth}
+            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}
+    \end{minipage}
+
+    \begin{enumerate}
+        \item Comment doit-il placer son bâton pour pouvoir appliquer le théorème de Thalès? Dessiner le baton sur le dessin.
+
+        \item Reporter les mesures sur le dessin.
+        \item Calculer la hauteur de la tour de Pise.
+    \end{enumerate}
+
+\end{Exo}
+
+\begin{Exo}
+    Pour ça pièce de théâtre, le metteur en scène a besoin d'un grand arbre de 4m de haut en ombre chinoise. Pour cela, il possède un un patron miniature de cet arbre mesurant 1m qu'il va éclairé avec une lampe. Cet arbre miniature est fixé à 5m de la toile.
+    \begin{enumerate}
+        \item Faire un schéma résumant l'installation.
+        \item Quel devra être la rapport d'agrandissement?
+        \item À quel du sapin devra-t-on placer la lampe pour que l'ombre du sapin soit de la bonne taille?
+    \end{enumerate}
+
+
+\end{Exo}
+
+\setcounter{exo}{0}
+\pagebreak
+
+\begin{Exo}
+    \begin{enumerate}
+        \item Construit un parallélogramme $RAVI$ tel que $RA = 6cm$, $IV = 4cm$ et $\widehat{RIV} = 130^{o}$.
+        \item Construit un agrandissement de rapport $\dfrac{5}{4}$ du parallélogramme $RAVI$.
+        \item Quel est la nature de la figure obtenue?
+        \item En déduire la mesure des angles de la figure agrandie.
+    \end{enumerate}
+\end{Exo}
+
+\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:
+
+    \hspace{-1cm}
+    \begin{minipage}{0.3\textwidth}
+        \includegraphics[scale=0.3]{./fig/ombre_pise}
+    \end{minipage}
+    \begin{minipage}{0.2\textwidth}
+            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}
+    \end{minipage}
+
+    \begin{enumerate}
+        \item Comment doit-il placer son bâton pour pouvoir appliquer le théorème de Thalès? Dessiner le baton sur le dessin.
+
+        \item Reporter les mesures sur le dessin.
+        \item Calculer la hauteur de la tour de Pise.
+    \end{enumerate}
+
+\end{Exo}
+
+\begin{Exo}
+    Pour ça pièce de théâtre, le metteur en scène a besoin d'un grand arbre de 4m de haut en ombre chinoise. Pour cela, il possède un un patron miniature de cet arbre mesurant 1m qu'il va éclairé avec une lampe. Cet arbre miniature est fixé à 5m de la toile.
+    \begin{enumerate}
+        \item Faire un schéma résumant l'installation.
+        \item Quel devra être la rapport d'agrandissement?
+        \item À quel du sapin devra-t-on placer la lampe pour que l'ombre du sapin soit de la bonne taille?
+    \end{enumerate}
+
+
+\end{Exo}
+\pagebreak
+
+
+
+\end{document}
+
+%%% Local Variables: 
+%%% mode: latex
+%%% TeX-master: "master"
+%%% End:
+

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3e/Geometrie/Thales_agrandissement/index.rst

@@ -0,0 +1,43 @@
+Thalès agrandissement de longueur pour les 3e
+#############################################
+
+:date: 2015-10-30
+:modified: 2015-10-30
+:category: 3e
+:tags: Géométrie
+:authors: Bertrand Benjamin
+:summary: Notes sur le premier chapitre autour de Thalès pour les 3e
+
+Liens externes autour de ce chapitre
+
+  - _AGRANDISSEMENT-RÉDUCTION D'UNE FIGURE: `http://www.apmep.fr/IMG/pdf/AG1.pdf`
+
+Dans ce chapitre on mène de front l'activité liée au dessus et un cours classique autour de Thalès.
+
+Séquence 1
+==========
+
+Énoncé du théorème de Thalès (version tableau de proportionnalité) et un exemple.
+
+Exercices techniques autour du théorème de Thalès (pour calculer des longueurs)
+
+Séquence 2
+==========
+
+Projection des images pour définir ce que l'on entend par agrandissement et réduction.
+
+Exercices techniques autour du théorème de Thalès (pour calculer des longueurs)
+
+Séquence 3
+==========
+
+Figures à découper pour découvrir des "familles" de figures agrandis ou réduites.
+
+Exercices techniques autour du théorème de Thalès (pour calculer des longueurs)
+
+Séquence 4
+==========
+
+Cours autour de l'agrandissement.
+
+Exercices autour de Thalès et de l'agrandissement.