Feat: ajoute des exercices de calcul de distance
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@ -69,7 +69,7 @@
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\begin{enumerate}
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\item
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\begin{tikzpicture}[rotate=0, scale=0.6]
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\draw[fill=blue!50]
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\draw[fill=blue!20]
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(-2,0) -- node[midway, left]{3cm}
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(-2,-3) -- node[midway, below]{4cm}
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(3,-3) --
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@ -77,20 +77,20 @@
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\draw (-2, -3) rectangle (-1.8, -2.8);
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\end{tikzpicture}
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\item
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\begin{tikzpicture}[rotate=30, scale=0.6]
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\draw[fill=blue!50]
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(-2,0) -- node[midway, left]{8cm}
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(-2,-3) -- node[midway, right below]{15cm}
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\begin{tikzpicture}[rotate=30, scale=0.6, transform shape]
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\draw[fill=blue!20]
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(-2,0) -- node[sloped, midway, below]{\LARGE 8cm}
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(-2,-3) -- node[sloped, midway, below]{\LARGE 15cm}
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(3,-3) --
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cycle;
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\draw (-2, -3) rectangle (-1.8, -2.8);
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\end{tikzpicture}
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\item
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\begin{tikzpicture}[rotate=170, scale=0.6]
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\draw[fill=blue!50]
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(-2,0) -- node[midway, right]{28cm}
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\begin{tikzpicture}[rotate=170, scale=0.6, transform shape]
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\draw[fill=blue!20]
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(-2,0) -- node[sloped, midway, below]{\LARGE 28cm}
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(-2,-3) --
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(3,-3) -- node[midway, left]{53cm}
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(3,-3) -- node[sloped, midway, above]{\LARGE 53cm}
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cycle;
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\draw (-2, -3) rectangle (-1.8, -2.8);
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\end{tikzpicture}
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@ -107,16 +107,193 @@
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% ----
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\begin{exercise}[subtitle={Calcul du 3e côté}, step={3}, origin={MEpC}, topics={ Pythagore reciproque }, tags={ Pythagore, géométrie }]
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\begin{tikzpicture}[rotate=0, scale=0.4]
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\draw[fill=blue!20]
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(0,0) -- node[sloped, midway, left]{3cm}
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(-6,0) -- node[midway, below]{4cm}
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(-6,4) --
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cycle;
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\draw (-6, 0) rectangle ++(0.2, 0.2);
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\draw (0, 0) rectangle ++(-6, -6);
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\draw (-6, 0) rectangle ++(-4, 4);
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\draw (0, 0) -- (4, 6) -- (-2, 10) -- (-6, 4) -- cycle;
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\end{tikzpicture}
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Pour chacun des triangles déterminer la longueur du côté manquant
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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=(a.north west), rotate=0, scale=0.7]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, sloped, below]{3cm}
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(-3,0) -- node[midway, sloped, above]{2cm}
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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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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=30, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, below, sloped]{\large 36cm}
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(-3,0) -- node[midway, above, sloped]{\large 77cm}
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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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\item
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\begin{tikzpicture}[baseline=(a.north west), 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 48m}
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(-3,0) -- node[midway, above, sloped]{\large 55m}
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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{enumerate}
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\end{multicols}
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\begin{multicols}{4}
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\begin{enumerate}
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\setcounter{enumi}{3}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=50, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, sloped, below]{\large 7cm}
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(-3,0) -- node[midway, sloped, above]{\large 24cm}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=40, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, below, sloped]{\large 1,6cm}
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(-3,0) -- node[midway, above, sloped]{\large 63cm}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=100, 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 6.5m}
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(-3,0) -- node[midway, above, sloped]{\large 72m}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=0, 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 2m}
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(-3,0) -- node[midway, above, sloped]{\large 1m}
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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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\end{tikzpicture}
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\end{enumerate}
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\end{multicols}
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\begin{multicols}{2}
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\begin{enumerate}
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\setcounter{enumi}{7}
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\item Triangle $ABC$ rectangle en $A$ tel que \\ $AB = 60mm$ et $AC=91mm$
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\item Triangle $IJK$ rectangle en $K$ tel que \\ $AB = 13m$ et $AC=84m$
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\item Triangle $LMN$ rectangle en $L$ tel que \\ $AB = 3cm$ et $AC=7m$
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\item Triangle $EFG$ rectangle en $E$ tel que \\ $AB = 6m$ et $AC=12m$
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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={Calcul d'un petit côté}, step={3}, origin={MEpC}, topics={ Pythagore reciproque }, tags={ Pythagore, géométrie }]
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Pour chacun des triangles déterminer la longueur du côté manquant
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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=(a.north west), rotate=0, scale=0.7]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, sloped, below]{3cm}
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(-3,0) -- node[midway, sloped, above]{2cm}
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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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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=30, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, below, sloped]{\large 36cm}
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(-3,0) -- node[midway, above, sloped]{\large 77cm}
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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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\item
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\begin{tikzpicture}[baseline=(a.north west), 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 48m}
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(-3,0) -- node[midway, above, sloped]{\large 55m}
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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{enumerate}
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\end{multicols}
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\begin{multicols}{4}
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\begin{enumerate}
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\setcounter{enumi}{3}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=50, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, sloped, below]{\large 7cm}
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(-3,0) -- node[midway, sloped, above]{\large 24cm}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=40, scale=0.7, transform shape]
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\draw[fill=blue!20]
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(0,0) -- node[ midway, below, sloped]{\large 1,6cm}
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(-3,0) -- node[midway, above, sloped]{\large 63cm}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=100, 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 6.5m}
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(-3,0) -- node[midway, above, sloped]{\large 72m}
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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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\end{tikzpicture}
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\item
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\begin{tikzpicture}[baseline=(a.north west), rotate=0, 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 2m}
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(-3,0) -- node[midway, above, sloped]{\large 1m}
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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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\end{tikzpicture}
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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