Révision autour des aires pour les 306
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3ePasserelles/Geometrie/Aire/Geometrie/fig/etagere.pdf
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3ePasserelles/Geometrie/Aire/Geometrie/subject.tex
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3ePasserelles/Geometrie/Aire/Geometrie/subject.tex
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\begin{minipage}{0.5\textwidth}
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Juliette veut installer une étagère composée de 4 tablettes identiques dans un angle de la pièce.
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Chaque tablette a la forme du triangle représenté ci-contre.
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Le triangle ABC est rectangle en A.
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\end{minipage}
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\begin{minipage}{0.6\textwidth}
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\includegraphics[scale=0.8]{./fig/etagere}
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\end{minipage}
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\begin{enumerate}
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\item Elle veut coller une baguette sur les 3 côtés d’une tablette :
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\begin{enumerate}
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\item Calculez la longueur BC arrondie.
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\item Elle décide d’acheter une baguette de 30cm de longueur. Est-ce assez pour faire le tour de la tablette.
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\end{enumerate}
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\item Juliette voudrait mettre une couche de vernis sur les deux faces des 4 tablettes.
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\begin{enumerate}
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\item Calculer l'aire d'une seule tablette.
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\item Vérifier par un calcul que la surface totale à vernir est de $432cm^2$.
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\item Un pot de vernis couvre $500cm^2$. Juliette possède un pot de vernis rempli au $\dfrac{3}{4}$.
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A-t-elle suffisamment de vernis ?
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\end{enumerate}
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\end{enumerate}
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3ePasserelles/Geometrie/Aire/Revi_aire.pdf
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3ePasserelles/Geometrie/Aire/Revi_aire.pdf
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3ePasserelles/Geometrie/Aire/Revi_aire.tex
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3ePasserelles/Geometrie/Aire/Revi_aire.tex
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\usepackage{wrapfig}
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\title{Tache complex: Hockey sur gazon}
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\tribe{Troisème}
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\date{Septembre 2017}
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\begin{document}
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\begin{exercise}[subtitle={Hockey sur gazon\Rep\Cal\Com}]
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Le gérant du camping a installé un grand chapiteau rectangulaire de 5 m par 4 m et un parquet pour abriter le buffet en cas de pluie.
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\begin{enumerate}
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\item Calculer, en $m^2$, l’aire de la surface de parquet nécessaire pour couvrir le sol de la totalité du chapiteau.
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\end{enumerate}
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Le gérant du camping a estimé que pour compenser les découpes, il fallait acheter 10 \% de parquet supplémentaire. Dans un magasin de bricolage il choisit un parquet résistant conditionné en bottes de $1,32m^2$.
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\begin{enumerate}
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\item Calculer combien de bottes de parquet le gérant doit commander pour couvrir le sol de la totalité du chapiteau.
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\end{enumerate}
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Pour assurer l’éclairage de la salle, le gérant souhaite utiliser des tuyaux lumineux de couleurs. Les tuyaux seront accrochés sur la structure du chapiteau comme indiqué ci-dessous.
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\includegraphics[scale=1.2]{./fig/struct_chapi}
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\begin{enumerate}
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\item Les tuyaux lumineux seront accrochés sur les 2 côtés $BC$ et $B'C$. Un magasin spécialisé lui propose de fabriquer les tuyaux lumineux à la dimension souhaitée.
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\item Quelle longueur, en mètres, le gérant doit-il commander pour un élément de structure $BCB'$? Arrondir au cm.
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Étagère}]
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\subimport{./Geometrie/}{subject.tex}
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\end{exercise}
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\begin{exercise}[subtitle={Sculture}]
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\begin{minipage}{0.6\textwidth}
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La sculpture présentée sur la photo ci-contre a été réalisée à l’aide de roues de vélo soudées les unes aux autres, afin de former une sphère de diamètre 1,4 m (les roues utilisées ont été légèrement arquées pour que la sphère soit réalisable). Les roues utilisées ont toutes un rayon de $300 mm$.
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\end{minipage}
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\begin{minipage}{0.4\textwidth}
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\includegraphics[scale=0.8]{./fig/sculture_velo}
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\end{minipage}
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\begin{enumerate}
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\item Calculer l’aire de la sphère en $cm^2$. On rappelle que la formule de l’aire d’une sphère de rayon $r$ est : $A = 4\pi r^2$. Arrondir le résultat à l’unité.
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\item Calculer l’aire d’une roue de vélo en $cm^2$. Arrondir à l’unité.
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\item Les roues de vélo ne se touchant qu’en un seul point, il existe des parties vides. L’aire correspondant aux parties vides est de $\np{16 336} cm^2$. Calculer le nombre de roues de vélos qui ont été nécessaires pour réaliser cette sculpture.
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\end{enumerate}
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\end{exercise}
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\end{document}
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Reference in New Issue
Block a user