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Import work from year 2014-2015

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Benjamin Bertrand
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\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classDS}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
% Title Page
\titre{DS3}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\seconde}
\date{19 novembre 2014}
\duree{1 heure}
%\sujet{%{{infos.subj%}}}
% DS DSCorr DM DMCorr Corr
\typedoc{DS}
\begin{document}
\maketitle
Le barème est donné à titre indicatif, il pourra être modifié.
\textbf{1 point} est réservé à la rédaction et au respect des notations.
Les diagrammes pourront être fait à la main.
\begin{questions}
\question[1]
Faire le calcul suivant en \textbf{détaillant les étapes}.
\begin{eqnarray*}
E & = & \frac{3}{5} + \frac{6}{7}
\end{eqnarray*}
\question[6]
$(O, I, J)$ est une repère orthonormé du plan. On considère les points suivants:
\begin{center}
\hspace{1cm} $A(-3;0)$ \hfill $B(-1;4)$ \hfill $C(3;2)$ \hfill $D(1;-2)$ \hspace{1cm}
\end{center}
\begin{parts}
\part Placer ces points dans le repère $(O,I,J)$. Quel semble être la nature du quadrilatère $ABCD$?
\part Calculer les distances $AB$, $BC$ et $AC$.
\part En déduire la nature du triangle $ABC$.
\part On suppose que $AD = CD = 4\sqrt{2}$. Déterminer la nature du quadrilatère $ABCD$.
\end{parts}
\question[6]
Lors d'un étude sur l'équipement des foyers français, 130 familles ont été interrogées.
77 familles ont un appareil photo numérique, 100 un ordinateur portable et 26 familles n'ont rien.
\begin{parts}
\part Faire un diagramme pour représenter la situation.
\part Combien de familles ont à la fois un appareil photo numérique et un ordinateur portable?
\part On note $A = \left\{ \mbox{ a un appareil photo numérique } \right\}$ et $B = \left\{ \mbox{ a un ordinateur portable } \right\}$.
\begin{subparts}
\subpart Décrire en français l'ensemble $A\cup B$ et $A \cap B$. Refaire le diagramme, colorier l'ensemble $A\cap B$ et entourer l'ensemble $A \cup B$.
\subpart On choisit au hasard une famille. Calculer $P(A)$, $P(A \cup B)$.
\end{subparts}
\end{parts}
\question[6]
\begin{minipage}{0.5\textwidth}
La mère de la famille Aguisou, fait le bilan de ce qu'il y a dans son caddie. Elle a acheté en tout 122 articles qu'elle a classés en fonction de 3 critères.
\begin{itemize}
\item $A = \left\{ \mbox{ l'article est de la nourriture } \right\}$
\item $B = \left\{ \mbox{ l'article coûte plus de 20 \euro} \right\}$
\item $C = \left\{ \mbox{ l'article a été choisi par sa fille Zoé } \right\}$
\end{itemize}
Ce bilan est représenté sur le diagramme ci-contre.
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.3]{./fig/diag}
\end{minipage}
Vous répondrez aux questions suivantes en justifiant soit avec un calcul soit avec un diagramme soit avec les deux.
\begin{parts}
\part Les évènements $A \cup B$ et $A \cap C$ sont-ils disjoints?
\part Décrire, en français, l'ensemble $\overline{ A \cup B}$ et colorier cet ensemble.
\part Les ensembles $A \cap B$ et $C$ sont-ils disjoints?
\part On choisit au hasard un article dans le caddie. Calculer la probabilité de $\overline{C} \cap B$.
\end{parts}
\end{questions}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur DS_1119
#################
:date: 2015-07-01
:modified: 2015-07-01
:tags: DS, Géométrie Analytique, Proba
:category: 2nd
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers DS_1119.pdf <DS_1119.pdf>`_
`Lien vers DS_1119.tex <DS_1119.tex>`_
`Lien vers fig/diag.pdf <fig/diag.pdf>`_