Feat: termine le devoir pour les 4E
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@ -27,12 +27,14 @@
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2\times(3x + 5) =
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\]
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\item Voici la recette de la peinture à la farine pour peindre $11m^2$
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\begin{itemize}
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\item 3L d'eau
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\item 2.5kg de farine
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\item 100g de de sulfate de fer
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\item 400g de pigments
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\end{itemize}
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\begin{multicols}{2}
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\begin{itemize}
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\item 3L d'eau
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\item 2.5kg de farine
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\item 100g de de sulfate de fer
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\item 400g de pigments
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\end{itemize}
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\end{multicols}
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\begin{enumerate}
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\item Quelle quantité d'au a-t-on besoin pour peindre $4m^2$?
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\\[0.2cm].\dotfill
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@ -44,18 +46,6 @@
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Aire et Périmètre}, step={1}, origin={<++>}, topics={ }, tags={ }]
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Calculer ou mesurer l'aire et le périmètre des figures suivantes
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\end{exercise}
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\begin{exercise}[subtitle={Pythagore}, step={1}, origin={<++>}, topics={ }, tags={ }]
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Calculer la longueur du côté manquant
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\begin{enumerate}
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\item
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Équations}, step={1}, origin={<++>}, topics={ }, tags={ }]
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Résoudre les équations suivantes
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\begin{multicols}{2}
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@ -64,12 +54,108 @@
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\[
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3x + 6 = 0
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\]
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\vspace{1cm}
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\item
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\[
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3x - 4 = 5
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\]
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\vspace{1cm}
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\begin{exercise}[subtitle={Aire et Périmètre}, step={1}, origin={<++>}, topics={ }, tags={ }]
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Calculer ou mesurer l'aire et le périmètre des figures suivantes
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\begin{multicols}{3}
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\begin{enumerate}
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\item
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\begin{tikzpicture}[baseline=(current bounding box.north), scale=0.7]
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\draw[fill=blue!20] (1, 1) -- (1, 5) -- (4, 5) -- (4, 4) -- (5, 4) -- (5, 1) -- cycle;
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\draw (0, 0) grid (6, 6);
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\draw[<->, very thick] (3, 0) -- node[midway, sloped, above] {1m} (4, 0);
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\end{tikzpicture}
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Périmètre: \dotfill
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Aire: \dotfill
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\columnbreak
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\item
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\begin{tikzpicture}[baseline=(current bounding box.north), scale=0.7]
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\draw[fill=blue!20] (0, 0) --
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(0, 4) --
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(5, 4) --
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(5, 0) --
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cycle;
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\end{tikzpicture}
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Périmètre: \dotfill
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Aire: \dotfill
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\columnbreak
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\item
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\begin{tikzpicture}[baseline=(current bounding box.north), scale=0.7]
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\draw[fill=blue!20] (0, 0) circle (3);
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\draw (0, 0) node {x} -- node[mideway, above] {5cm} (0, 3);
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\end{tikzpicture}
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Périmètre: \dotfill
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Aire: \dotfill
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\begin{exercise}[subtitle={Pythagore}, step={1}, origin={<++>}, topics={ }, tags={ }]
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Calculer la longueur du côté manquant (vous devrez rédiger correctement au moins une des questions)
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\begin{enumerate}
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\item
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\begin{minipage}{0.3\linewidth}
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\begin{tikzpicture}[baseline=(current bounding box.north), rotate=180, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, above, sloped, rotate=180]{\large 8m}
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(-3,0) -- node[midway, above, sloped]{\large 15m}
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(-3,2) --
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cycle;
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\draw (-3, 0) rectangle ++(0.2, 0.2);
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\draw (0, 0) rectangle ++(-3, -3);
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\draw (-3, 0) rectangle ++(-2, 2);
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\draw (0, 0) -- (2, 3) -- (-1, 5) -- (-3, 2) -- cycle;
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\end{tikzpicture}
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\end{minipage}
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\begin{minipage}{0.7\linewidth}
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\end{minipage}
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\item
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\begin{minipage}{0.3\linewidth}
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\begin{tikzpicture}[baseline=(current bounding box.north), rotate=50, scale=1, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, sloped, below]{\large 4cm}
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(-3,0) --
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(-3,2) -- node[midway, sloped, above]{\large 10cm}
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cycle;
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\draw (-3, 0) rectangle ++(0.2, 0.2);
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\end{tikzpicture}
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\end{minipage}
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\begin{minipage}{0.7\linewidth}
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~\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\end{minipage}
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\item Triangle $LMN$ rectangle en $L$ tel que $LM=28cm$ et $MN=53cm$
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~\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\\[0.5cm].\dotfill
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\end{enumerate}
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\end{exercise}
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@ -17,8 +17,6 @@
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{\large \textbf{Nom prénom:}}
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Le barème est donné à titre indicatif, il pourra être modifié.
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\input{exercises.tex}
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\printcollection{banque}
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\end{document}
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