Feat: DS2 pour les 5e
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\title{DS 2}
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\tribe{Cinquième}
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\date{7 juin 2019}
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\sujet{1}
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\begin{document}
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%\competencesStatement
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\maketitle
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\bigskip
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\begin{exercise}[subtitle={Reperage}]
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% à partir de http://pysa.free.fr/pedagogie/5RE04reperes.pdf
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Le milliardaire Pythagorapoulos a invité ses amis à participer à un rallye.
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\begin{enumerate}
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\item Quelles sont les coordonnées de l’extrémité de La Pointe à Pitre ? $(\ldots ; \ldots)$
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\end{enumerate}
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Un requin nage dans une baie au point (5 ; -1).
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\hspace{-1.5cm}
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\begin{minipage}{0.5\textwidth}
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\begin{enumerate}
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\setcounter{enumi}{1}
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\item Quel est le nom de cette baie ? \\[0.2cm] .\dotfill
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\item Un des invités s’est caché dans un monument dont l’ordonnée est 4.
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\begin{enumerate}
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\item Quelle est son abscisse ? \dotfill
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\item Quel est le nom du monument ? \\[0.2cm] .\dotfill
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\end{enumerate}
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\item Écrire les coordonnées des points suivants :
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\[
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A (\ldots ; \ldots) \qquad B(\ldots ; \ldots) \qquad C(\ldots ; \ldots)
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\]
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\[
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D(\ldots ; \ldots) \qquad E(\ldots ; \ldots) \qquad F(\ldots ; \ldots)
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\]
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\end{enumerate}
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\end{minipage}
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\begin{minipage}{0.5\textwidth}
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\includegraphics[scale=1]{./fig/carte}
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\end{minipage}
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\end{exercise}
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\begin{exercise}[subtitle={Propriétés géométriques}]
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Les quadrilatères ci-dessous, sont-ils des parallélogrammes? Si oui, expliquer pourquoi. Si non, trouver un contre-exemple.
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Les figures ci-dessous sont des croquis, vous ne pouvez vous fier qu'au codage.
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\begin{enumerate}
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\item
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\begin{minipage}{0.25\textwidth}
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\includegraphics[scale=1]{./fig/para_1}
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\end{minipage}
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\begin{minipage}{0.4\textwidth}
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{minipage}
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\begin{minipage}{0.3\textwidth}
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\end{minipage}
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\bigskip
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\item
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\begin{minipage}{0.25\textwidth}
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\includegraphics[scale=1]{./fig/npara_1}
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\end{minipage}
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\begin{minipage}{0.4\textwidth}
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{minipage}
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\begin{minipage}{0.3\textwidth}
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\end{minipage}
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\end{enumerate}
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\end{exercise}
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\pagebreak
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\begin{exercise}[subtitle={Constructions}]
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Sur la figure ci-contre, placer:
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\begin{minipage}{0.5\textwidth}
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\begin{enumerate}
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\item Le point $D$ tel que $ABCD$ soit un parallélogramme que l'on tracera.
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\item Le point $E$ tel que $ABEC$ soit un parallélogramme que l'on tracera.
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\end{enumerate}
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\end{minipage}
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\begin{minipage}{0.5\textwidth}
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\includegraphics[scale=1]{./fig/contru}
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\end{minipage}
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\begin{enumerate}
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\item Trouver 3 segments qui ont la même longueur.
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Probabilité}]
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\begin{enumerate}
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\item En lançant un dé, qu'est-ce qui est le plus facile à obtenir, un 2 ou un 6?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\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?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\item Devant Bob, il y a deux boites avec des bonbons tous emballés de la même façon.
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\fbox{
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\begin{minipage}{0.3\textwidth}
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Boite 1
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\begin{itemize}
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\item 10 à la menthe
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\item 14 à la fraise
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\end{itemize}
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\end{minipage}
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}
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\hfill
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\fbox{
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\begin{minipage}{0.3\textwidth}
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Boite 2
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\begin{itemize}
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\item 14 à la menthe
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\item 18 à l'abricot
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\end{itemize}
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\end{minipage}
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}
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\bigskip
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Bob ne peut piocher qu’une seule fois un bonbon. Il préfère les bonbons à la menthe.
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Dans quelle boite doit-il piocher son bonbon pour avoir le plus de chance d’avoir son
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goût préféré ? Expliquer.
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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Binary file not shown.
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@ -0,0 +1,157 @@
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\title{DS 2}
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\tribe{Cinquième}
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\date{7 juin 2019}
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\sujet{2}
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\begin{document}
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%\competencesStatement
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\maketitle
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\bigskip
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\begin{exercise}[subtitle={Probabilité}]
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\begin{enumerate}
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\item En lançant un dé, qu'est-ce qui est le plus facile à obtenir, un 2 ou un 6?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\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?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\item Devant Bob, il y a deux boites avec des bonbons tous emballés de la même façon.
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\fbox{
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\begin{minipage}{0.3\textwidth}
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Boite 1
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\begin{itemize}
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\item 14 à la menthe
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\item 16 à la fraise
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\end{itemize}
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\end{minipage}
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}
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\hfill
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\fbox{
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\begin{minipage}{0.3\textwidth}
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Boite 2
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\begin{itemize}
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\item 25 à la menthe
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\item 35 l'abricot
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\end{itemize}
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\end{minipage}
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}
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\bigskip
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Bob ne peut piocher qu’une seule fois un bonbon. Il préfère les bonbons à la menthe.
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Dans quelle boite doit-il piocher son bonbon pour avoir le plus de chance d’avoir son
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goût préféré ? Expliquer.
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\vfill
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\begin{exercise}[subtitle={Constructions}]
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Sur la figure ci-contre, placer:
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\begin{minipage}{0.5\textwidth}
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\begin{enumerate}
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\item Le point $D$ tel que $ABCD$ soit un parallélogramme que l'on tracera.
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\item Le point $E$ tel que $AEBC$ soit un parallélogramme que l'on tracera.
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\end{enumerate}
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\end{minipage}
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\begin{minipage}{0.5\textwidth}
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\includegraphics[scale=1]{./fig/contru}
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\end{minipage}
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\begin{enumerate}
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\item Trouver 3 segments qui ont la même longueur.
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\pagebreak
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\begin{exercise}[subtitle={Reperage}]
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% à partir de http://pysa.free.fr/pedagogie/5RE04reperes.pdf
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Le milliardaire Pythagorapoulos a invité ses amis à participer à un rallye.
|
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|
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\begin{enumerate}
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\item Quelles sont les coordonnées de l’extrémité de La Pointe à Pitre ? $(\ldots ; \ldots)$
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\end{enumerate}
|
||||
|
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Un requin nage dans une baie au point (-2 ; -3).
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|
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\hspace{-1.5cm}
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\begin{minipage}{0.5\textwidth}
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\begin{enumerate}
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\setcounter{enumi}{1}
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\item Quel est le nom de cette baie ? \\[0.2cm] .\dotfill
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\item Un des invités s’est caché dans un lieu dont l'abscisse est 6 représenté par un dessin.
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\begin{enumerate}
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\item Quelle est son ordonnée ? \dotfill
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\item Quel est le nom de ce lieu ? \\[0.2cm] .\dotfill
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\end{enumerate}
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\item Écrire les coordonnées des points suivants :
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\[
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A (\ldots ; \ldots) \qquad B(\ldots ; \ldots) \qquad C(\ldots ; \ldots)
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\]
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\[
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D(\ldots ; \ldots) \qquad E(\ldots ; \ldots) \qquad F(\ldots ; \ldots)
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\]
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\end{enumerate}
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\end{minipage}
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\begin{minipage}{0.5\textwidth}
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\includegraphics[scale=1]{./fig/carte}
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\end{minipage}
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\end{exercise}
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\begin{exercise}[subtitle={Propriétés géométriques}]
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Les quadrilatères ci-dessous, sont-ils des parallélogrammes? Si oui, expliquer pourquoi. Si non, trouver un contre-exemple.
|
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|
||||
Les figures ci-dessous sont des croquis, vous ne pouvez vous fier qu'au codage.
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\begin{enumerate}
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\item
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\begin{minipage}{0.25\textwidth}
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\includegraphics[scale=1]{./fig/npara_2}
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\end{minipage}
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\begin{minipage}{0.4\textwidth}
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{minipage}
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\begin{minipage}{0.3\textwidth}
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\end{minipage}
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\bigskip
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\item
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\begin{minipage}{0.25\textwidth}
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\includegraphics[scale=1]{./fig/para_2}
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\end{minipage}
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\begin{minipage}{0.4\textwidth}
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{minipage}
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\begin{minipage}{0.3\textwidth}
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\end{minipage}
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\end{enumerate}
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\end{exercise}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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Loading…
Reference in New Issue