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Import work from year 2013-2014

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Benjamin Bertrand
2017-06-16 09:46:40 +03:00
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\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
\usepackage{tikz}
% Title Page
\titre{Projet le nouveau terrain de sport}
% \quatreC \quatreD \troisB \troisPro
\classe{\troisPro $\quad$ Groupe A}
\date{2013-2014}
\renewcommand{\arraystretch}{2}
\begin{document}
\maketitle
%\section*{Répartition des taches}
%
%\begin{itemize}
% \item Plan du bateau: Ricardo - Youssef - Nicolas - Jérome
% \item Déterminer la route du bateau: Quentin - Delphine - Léo
% \item Gestion de la cuisine: Intissar - Manon - Samuel - Amine
% \item Gestion des activités: Delphine - Amine
% \item Gestion du personnel: Delphine
% \item Gestion des ventes: Yousseff
%\end{itemize}
André Dupont est chargé de la peinture et de l'équipement du nouveau terrain de foot. Il va devoir faire la commande du revêtement synthétique du sol ainsi que de la peinture pour faire les marques. Comme le budget est serré, il doit commander juste ce qui est nécessaire, pas plus.
Voici le plan du terrain de foot (toutes les distances sont en mètres)
\begin{tikzpicture}
\coordinate (D) at (0,0);
\coordinate (A) at (0,9);
\coordinate (B) at (12,9);
\coordinate (C) at (12,0);
\coordinate (E) at (0,2.5);
\coordinate (F) at (0,6.5);
\coordinate (G) at (12,6.5);
\coordinate (H) at (12,2.5);
\coordinate (I) at (6,9);
\coordinate (J) at (6,0);
\coordinate (K) at (6,4.5);
\draw (A) -- (B) -- (C) -- (D) -- cycle;
\draw (I) -- (J);
\draw (K) circle (0.9);
\draw (E) --++ (1.65, 0) --++ (0,4) -- (F) -- cycle;
\draw (G) --++ (-1.65, 0) --++ (0,-4) -- (H) -- cycle;
\draw[<->] (-0.5, 0) --++ (0,9) node[midway, above , sloped] {90m};
\draw[<->] (2, 2.5) --++ (0,4) node[midway, below, sloped] {40m};
\draw[<->] (0, 9.5) --++ (12,0) node[midway, above , sloped] {120m};
\draw[<->] (0, 2) --++ (1.65,0) node[midway, below, sloped] {16,5m};
\draw[<->] (6,4.5) --++ (-45:0.9) node[midway, above, sloped] {9m};
\end{tikzpicture}
\section{Installation permanente}
\begin{enumerate}
\item \textbf{Revêtement synthétique:} Pour le revêtement, le fournisseur vend des carrés de 2m par 2m. Combien de carré doit-il commander?
\\[0.5cm]
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\item \textbf{Marquage au sol:} La peinture est vendue en bombe. Une bombe permet tracer 50 de ligne blanche. Combien de bombe faudra-t-il acheter?
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\end{enumerate}
\section{Avant match}
Pour la préparation du match, le président du club veut mettre le terrain aux couleurs du club. Il veut peindre le cercle central en rouge et les rectangles devant les buts en jaune.
\begin{enumerate}
\item Avec un pot de peinture rouge on peut peindre $36m^2$ (l'équivalent d'un carré de 6m de coté) Combien de pot de peinture rouge devra-t-il commander?
\\[0.5cm]
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.\dotfill
\\[0.5cm]
\item Avec un pot de peinture jaune on peut peindre $25m^2$(l'équivalent d'un carré de 5m de coté). Combien de pot de peinture jaune devra-t-il commander?
\\[0.5cm]
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\end{enumerate}
\section{Bilan et facture}
\begin{enumerate}
\item Un carré de 2m par 2m de revêtement coûte 10\euro et les bombes blanches coûtent 25\euro. Combien va coûter l'équipement l'installation permanente?
\\[0.5cm]
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\item Les pots de peintures rouge et jaune coûtent le même prix: 40\euro le pot. Combien va coûter la peinture pour le préparation d'un match?
\\[0.5cm]
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\item Quel sera le prix total de l'équipement du terrain si l'on peint le terrain une seule fois?
\\[0.5cm]
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\\[0.5cm]
\end{enumerate}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
\usepackage{tikz}
% Title Page
\titre{Thalès}
% \quatreC \quatreD \troisB \troisPro
\classe{\troisPro}
\date{2013-2014}
\renewcommand{\arraystretch}{2}
\begin{document}
\maketitle
%\section*{Répartition des taches}
%
%\begin{itemize}
% \item Plan du bateau: Ricardo - Youssef - Nicolas - Jérome
% \item Déterminer la route du bateau: Quentin - Delphine - Léo
% \item Gestion de la cuisine: Intissar - Manon - Samuel - Amine
% \item Gestion des activités: Delphine - Amine
% \item Gestion du personnel: Delphine
% \item Gestion des ventes: Yousseff
%\end{itemize}
\section{Calcul de la hauteur d'une pyramide, une légende}
\hspace{-2cm}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.35]{./fig/pyramide}
\end{minipage}
\hspace{1cm}
\begin{minipage}{0.5\textwidth}
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}
\end{minipage}
\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.}
\begin{enumerate}
\item Reporte les distances observer par Thalès sur le dessin et donne des noms au points qui te semblent importants.
\item Grâce au théorème de Thales, calcule la hauteur de la pyramide.
\begin{tabular}{|c|*{3}{p{3cm}|}}
\hline
Petit triangle & & & \\
\hline
Grand triangle & & & \\
\hline
\end{tabular}
\\[0.5cm]
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\end{enumerate}
\clearpage
\section{Hauteur de la tour de Pise}
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 Reporte les mesures sur le dessin et donne des noms au points qui te semblent importants.
\item Calcule la hauteur de la tour de Pise.
\begin{tabular}{|c|*{3}{p{3cm}|}}
\hline
Petit triangle & & & \\
\hline
Grand triangle & & & \\
\hline
\end{tabular}
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\end{enumerate}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur 10eProj
#################
:date: 2014-07-01
:modified: 2014-07-01
:tags:
:category: 3ePro
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers 10eProj_2.tex <10eProj_2.tex>`_
`Lien vers 10eProj.pdf <10eProj.pdf>`_
`Lien vers 10eProj.tex <10eProj.tex>`_
`Lien vers 10eProj_2.pdf <10eProj_2.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>`_