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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,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
% Title Page
\titre{2}
% \quatreC \quatreD \troisB \troisPro
\classe{\quatreD}
\date{4 novembre 2013}
%\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Corr
\typedoc{DS}
\duree{1 heure}
\begin{document}
\maketitle
Le barème est donné à titre indicatif, il pourra être modifié.
\begin{Exo}[5]
Charles a un cerf-volant du même type que celui schématisé ci-dessous. Malheureusement, quand il y a beaucoup de vent, son cerf-volant est trop fragile pour voler. Il voudrait donc le renforcer avec une baguette joignant $E$ et $F$ les milieux respectifs de $[AD]$ et $[CD]$. On donne $OB = 3cm$, $OD = 8cm$ et $AC=6cm$.
\begin{minipage}{0.4\textwidth}
\includegraphics[scale=0.3]{./fig/cerf-volant.pdf}
\end{minipage}
\begin{minipage}{0.6\textwidth}
\begin{enumerate}
\item Quelle sera la longueur de cette baguette?
\item Expliquez pourquoi $(EF)$ et $(AC)$ sont parallèles.
\item Où Charles va-t-il devoir fixer la baguette entre $D$ et $O$?
\item Expliquez pourquoi $(EF)$ et $(OD)$ seront alors perpendiculaires.
\end{enumerate}
\end{minipage}
\end{Exo}
\begin{Exo}[5]
$ABCD$ est un quadrilatère quelconque. $E$ est le milieu de $[AD]$ et $F$ le milieu de $[CD]$. La droite passant par $E$ et parallèle à $(AB)$ coupe $(BD)$ en $P$.
\begin{enumerate}
\item Faire une figure en prenant bien soin de faire un quadrilatère \textbf{quelconque} et en la codant.
\item Démontrer que $P$ est le milieu de $[BD]$.
\item Démontrer que $(PF)$ et $(BC)$ sont parallèles.
\end{enumerate}
\end{Exo}
\begin{Exo}[4]
Marie a tracé un triangle $ABC$ mais les points $B$ et $C$ sont en dehors de la feuille. Le point $J$ est le milieu de $[CB]$.
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.2]{./fig/triangle_cache.pdf}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Construire les points $I$ et $K$ milieux, respectifs de $[AB]$ et de $[AC]$en laissant les traits de construction.
\item Énoncer le théorème qui vous a permis de faire ces constructions.
\end{enumerate}
\end{minipage}
\end{Exo}
\begin{Exo}[6]
Aujourd'hui à la cantine c'est petits pois. Tous les élèves décident de compter le nombre de petits pois et comparer leurs assiettes. Voici le tableau résumant le nombre de petits pois.
\begin{center}
\begin{tabular}{|c|*{9}{c|}}
\hline
Nombre de petits pois& 44 & 46 & 47 & 48 & 49 & 50 & 51 & 52 & 53 \\ \hline
Effectifs & 1 & 2 & 1 & 4 & 8 & 3 & 1 & 2 & 3 \\ \hline
\end{tabular}
\end{center}
\begin{enumerate}
\item Quel est l'effectif total de cette série? Que signifie ce nombre?
\item Calculer la moyenne du nombre de petits pois dans chaque assiette.
\item Tracer le diagramme bâton représentant le nombre de petits pois dans chaque assiette pour cette table (1cm pour une unité horizontalement et 1cm pour une unité verticalement)
\end{enumerate}
\end{Exo}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur 11 milieux stat
#########################
:date: 2014-07-01
:modified: 2014-07-01
:tags: DS
:category: 4e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers 11_milieux_stat.tex <11_milieux_stat.tex>`_
`Lien vers 11_milieux_stat.pdf <11_milieux_stat.pdf>`_
`Lien vers fig/triangle_cache.pdf <fig/triangle_cache.pdf>`_
`Lien vers fig/charpente.pdf <fig/charpente.pdf>`_
`Lien vers fig/AB1.pdf <fig/AB1.pdf>`_
`Lien vers fig/AB2.pdf <fig/AB2.pdf>`_
`Lien vers fig/cerf-volant.pdf <fig/cerf-volant.pdf>`_
`Lien vers fig/cerf-volant.png <fig/cerf-volant.png>`_
`Lien vers fig/AB_C.pdf <fig/AB_C.pdf>`_