DS2 pour les 302
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\usepackage{wrapfig}
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\title{DS 2: Fin de l'échauffement}
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\tribe{Troisième}
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\date{28 septembre 2017}
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\begin{document}
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\maketitle
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\begin{exercise}[subtitle={Techniques \Cal}]
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\begin{enumerate}
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\item Faire les calculs en détaillant les étapes
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\begin{eqnarray*}
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A = 16 - 3 \times 10 & \qquad & B = 2 - (23 - 15) \times 45
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\end{eqnarray*}
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\item Trouver tous les diviseurs de 30.
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\item Décomposer 48 en le plus grand produit de facteurs.
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Agrandissement \Mod \Com}]
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Quelles sont les longueurs des côtés du triangle blanc?
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\includegraphics[scale=0.9]{./fig/agrandissement}
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\end{exercise}
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\begin{exercise}[subtitle={Confiseries \Rep \Cal \Rai \Com}]
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Un confiseur lance la fabrication de bonbons au chocolat et de bonbons au
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caramel pour remplir 50 boîtes. Chaque boîte contient 10 bonbons au chocolat et 8 bonbons au caramel.
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\medskip
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\begin{enumerate}
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\item Combien doit-il fabriquer de bonbons de chaque sorte?
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\item Jules prend au hasard un bonbon dans une boite. Quelle est la probabilité qu'il obtienne un bonbon au chocolat?
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\item Jim ouvre une autre boîte et mange un bonbon. Gourmand, il en prend sans regarder un deuxième. Est-il plus probable qu'il prenne alors un bonbon au chocolat ou un bonbon au caramel?
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\item Lors de la fabrication, certaines étapes se passent mal et, au final, le confiseur a 473 bonbons au chocolat et 387 bonbons au caramel.
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\begin{enumerate}
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\item Peut-il encore constituer des boîtes contenant 10 bonbons au chocolat et 8 bonbons au caramel en utilisant tous les bonbons?
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\item Le confiseur décide de changer la composition de ses boîtes. Son objectif est de faire le plus de boîtes identiques possibles en utilisant tous ses bonbons. Combien peut-il faire de boîtes? Quelle est la composition de chaque boîte?
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\end{enumerate}
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Rangement \Cal \Com}]
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La documentaliste veut réorganiser le CDI. Elle a 372 livres à ranger dans des étagères avec 7 étages. Dans chaque étage, elle a compté qu'elle pouvait ranger 10 livres.
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Combien lui faut-il d'étagères pour ranger tous ses livres?
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\end{exercise}
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\end{document}
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