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Feat: DS2 pour les 5e

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Bertrand Benjamin
2019-06-06 15:35:00 +02:00
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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\title{DS 2}
\tribe{Cinquième}
\date{7 juin 2019}
\sujet{1}
\begin{document}
%\competencesStatement
\maketitle
\bigskip
\begin{exercise}[subtitle={Reperage}]
% à partir de http://pysa.free.fr/pedagogie/5RE04reperes.pdf
Le milliardaire Pythagorapoulos a invité ses amis à participer à un rallye.
\begin{enumerate}
\item Quelles sont les coordonnées de l’extrémité de La Pointe à Pitre ? $(\ldots ; \ldots)$
\end{enumerate}
Un requin nage dans une baie au point (5 ; -1).
\hspace{-1.5cm}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\setcounter{enumi}{1}
\item Quel est le nom de cette baie ? \\[0.2cm] .\dotfill
\item Un des invités s’est caché dans un monument dont l’ordonnée est 4.
\begin{enumerate}
\item Quelle est son abscisse ? \dotfill
\item Quel est le nom du monument ? \\[0.2cm] .\dotfill
\end{enumerate}
\item Écrire les coordonnées des points suivants :
\[
A (\ldots ; \ldots) \qquad B(\ldots ; \ldots) \qquad C(\ldots ; \ldots)
\]
\[
D(\ldots ; \ldots) \qquad E(\ldots ; \ldots) \qquad F(\ldots ; \ldots)
\]
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=1]{./fig/carte}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Propriétés géométriques}]
Les quadrilatères ci-dessous, sont-ils des parallélogrammes? Si oui, expliquer pourquoi. Si non, trouver un contre-exemple.
Les figures ci-dessous sont des croquis, vous ne pouvez vous fier qu'au codage.
\begin{enumerate}
\item
\begin{minipage}{0.25\textwidth}
\includegraphics[scale=1]{./fig/para_1}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{minipage}
\begin{minipage}{0.3\textwidth}
\end{minipage}
\bigskip
\item
\begin{minipage}{0.25\textwidth}
\includegraphics[scale=1]{./fig/npara_1}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{minipage}
\begin{minipage}{0.3\textwidth}
\end{minipage}
\end{enumerate}
\end{exercise}
\pagebreak
\begin{exercise}[subtitle={Constructions}]
Sur la figure ci-contre, placer:
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Le point $D$ tel que $ABCD$ soit un parallélogramme que l'on tracera.
\item Le point $E$ tel que $ABEC$ soit un parallélogramme que l'on tracera.
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=1]{./fig/contru}
\end{minipage}
\begin{enumerate}
\item Trouver 3 segments qui ont la même longueur.
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{enumerate}
\end{exercise}
\begin{exercise}[subtitle={Probabilité}]
\begin{enumerate}
\item En lançant un dé, qu'est-ce qui est le plus facile à obtenir, un 2 ou un 6?
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\item Jean a lancé un pièce de monnaie et a obtenu 5 fois de suite FACE. On veut relancer la pièce, peut-on prévoir si ce sera PILE ou FACE?
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\item Devant Bob, il y a deux boites avec des bonbons tous emballés de la même façon.
\fbox{
\begin{minipage}{0.3\textwidth}
Boite 1
\begin{itemize}
\item 10 à la menthe
\item 14 à la fraise
\end{itemize}
\end{minipage}
}
\hfill
\fbox{
\begin{minipage}{0.3\textwidth}
Boite 2
\begin{itemize}
\item 14 à la menthe
\item 18 à l'abricot
\end{itemize}
\end{minipage}
}
\bigskip
Bob ne peut piocher qu’une seule fois un bonbon. Il préfère les bonbons à la menthe.
Dans quelle boite doit-il piocher son bonbon pour avoir le plus de chance d’avoir son
goût préféré ? Expliquer.
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{enumerate}
\end{exercise}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,12pt]{article}
\usepackage{myXsim}
\title{DS 2}
\tribe{Cinquième}
\date{7 juin 2019}
\sujet{2}
\begin{document}
%\competencesStatement
\maketitle
\bigskip
\begin{exercise}[subtitle={Probabilité}]
\begin{enumerate}
\item En lançant un dé, qu'est-ce qui est le plus facile à obtenir, un 2 ou un 6?
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\item Jean a lancé un pièce de monnaie et a obtenu 5 fois de suite PILE. On veut relancer la pièce, peut-on prévoir si ce sera PILE ou FACE?
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\item Devant Bob, il y a deux boites avec des bonbons tous emballés de la même façon.
\fbox{
\begin{minipage}{0.3\textwidth}
Boite 1
\begin{itemize}
\item 14 à la menthe
\item 16 à la fraise
\end{itemize}
\end{minipage}
}
\hfill
\fbox{
\begin{minipage}{0.3\textwidth}
Boite 2
\begin{itemize}
\item 25 à la menthe
\item 35 l'abricot
\end{itemize}
\end{minipage}
}
\bigskip
Bob ne peut piocher qu’une seule fois un bonbon. Il préfère les bonbons à la menthe.
Dans quelle boite doit-il piocher son bonbon pour avoir le plus de chance d’avoir son
goût préféré ? Expliquer.
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{enumerate}
\end{exercise}
\vfill
\begin{exercise}[subtitle={Constructions}]
Sur la figure ci-contre, placer:
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\item Le point $D$ tel que $ABCD$ soit un parallélogramme que l'on tracera.
\item Le point $E$ tel que $AEBC$ soit un parallélogramme que l'on tracera.
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=1]{./fig/contru}
\end{minipage}
\begin{enumerate}
\item Trouver 3 segments qui ont la même longueur.
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{enumerate}
\end{exercise}
\pagebreak
\begin{exercise}[subtitle={Reperage}]
% à partir de http://pysa.free.fr/pedagogie/5RE04reperes.pdf
Le milliardaire Pythagorapoulos a invité ses amis à participer à un rallye.
\begin{enumerate}
\item Quelles sont les coordonnées de l’extrémité de La Pointe à Pitre ? $(\ldots ; \ldots)$
\end{enumerate}
Un requin nage dans une baie au point (-2 ; -3).
\hspace{-1.5cm}
\begin{minipage}{0.5\textwidth}
\begin{enumerate}
\setcounter{enumi}{1}
\item Quel est le nom de cette baie ? \\[0.2cm] .\dotfill
\item Un des invités s’est caché dans un lieu dont l'abscisse est 6 représenté par un dessin.
\begin{enumerate}
\item Quelle est son ordonnée ? \dotfill
\item Quel est le nom de ce lieu ? \\[0.2cm] .\dotfill
\end{enumerate}
\item Écrire les coordonnées des points suivants :
\[
A (\ldots ; \ldots) \qquad B(\ldots ; \ldots) \qquad C(\ldots ; \ldots)
\]
\[
D(\ldots ; \ldots) \qquad E(\ldots ; \ldots) \qquad F(\ldots ; \ldots)
\]
\end{enumerate}
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=1]{./fig/carte}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Propriétés géométriques}]
Les quadrilatères ci-dessous, sont-ils des parallélogrammes? Si oui, expliquer pourquoi. Si non, trouver un contre-exemple.
Les figures ci-dessous sont des croquis, vous ne pouvez vous fier qu'au codage.
\begin{enumerate}
\item
\begin{minipage}{0.25\textwidth}
\includegraphics[scale=1]{./fig/npara_2}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{minipage}
\begin{minipage}{0.3\textwidth}
\end{minipage}
\bigskip
\item
\begin{minipage}{0.25\textwidth}
\includegraphics[scale=1]{./fig/para_2}
\end{minipage}
\begin{minipage}{0.4\textwidth}
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\\[0.2cm] .\dotfill
\end{minipage}
\begin{minipage}{0.3\textwidth}
\end{minipage}
\end{enumerate}
\end{exercise}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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