102 lines
4.0 KiB
TeX
102 lines
4.0 KiB
TeX
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\begin{exercise}[subtitle={Programmes de calculs}, step={1}, origin={D'anciennes choses}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\searchMode}]
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Voici 2 programmes de calculs.
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\medskip
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\setlength\fboxsep{10pt}
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\Ovalbox{%
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\begin{minipage}{0.3\linewidth}
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\textbf{Programme A:} \\
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Choisir un nombre \\
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Multiplier par 4 \\
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Soustraire 1 \\
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Ajouter le nombre de départ \\
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Soustraire 2
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\end{minipage}
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}
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\hfill
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\Ovalbox{%
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\begin{minipage}{0.3\linewidth}
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\textbf{Programme B:} \\
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Choisir un nombre \\
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Multiplier par 5 \\
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Enlever 3
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\end{minipage}
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}
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\medskip
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Bob pense "\textit{Ces 2 programmes donnent toujours le même résultat.}".
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Qu'en pensez vous?
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\end{exercise}
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\begin{exercise}[subtitle={Vrai ou faux}, step={1}, origin={MEpC}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\searchMode}]
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Pour chacune des affirmations, expliquer si elles sont vraies ou fausses.
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\begin{enumerate}
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\item Pour tous les nombres $x$, on a $4+3x = 7x$.
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\item Pour tous les nombres $y$, on a $y^2 = y$.
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\item Pour tous les nombres $z$, on a $2z + z - 8 = 3z - 7 - 1$.
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\item Pour tous les nombres $t$, on a $\dfrac{4t-8}{8} = 4t - 1$.
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\item Pour lous les nombres $t$, on a $3t + 3 + 5 = t + 2t + 4$.
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Aire de rectangles}, step={2}, origin={Classique}, topics={ Fraction Developpement Litteral }, tags={ Fractions, Developpement }, mode={\searchMode}]
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Trouver deux façons différentes de calculer l'aire de ces rectangles
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\begin{multicols}{2}
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\begin{enumerate}
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\item
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\begin{tikzpicture}
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\draw (0, 0) -- node [midway, below] {1}
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(1, 0) coordinate (A) -- node [midway, below] {$x$}
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(3, 0) -- node [midway, right] {3}
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(3, 2) --
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(1, 2) coordinate (B)--
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(0, 2) --
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cycle;
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\draw (A) -- (B);
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\end{tikzpicture}
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\item
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\begin{tikzpicture}
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\draw (0, 0) -- node [midway, below] {$4$}
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(3, 0) -- node [midway, right] {$2$}
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(3, 1.5) coordinate (A) -- node [midway, right] {$x$}
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(3, 2) --
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(0, 2) --
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(0, 1.5) coordinate (B)--
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cycle;
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\draw (A) -- (B);
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\end{tikzpicture}
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\item
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\begin{tikzpicture}
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\draw (0, 0) -- node [midway, below] {$x$}
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(1, 0) coordinate (A) -- node [midway, below] {$1$}
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(3, 0) -- node [midway, right] {$3$}
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(3, 1.5) coordinate (C) -- node [midway, right] {$x$}
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(3, 2) --
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(1, 2) coordinate (B)--
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(0, 2) --
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(0, 1.5) coordinate (D)--
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cycle;
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\draw (A) -- (B);
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\draw (C) -- (D);
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\end{tikzpicture}
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\item
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\begin{tikzpicture}
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\draw (0, 0) -- node [midway, below] {$6x$}
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(1, 0) coordinate (A) -- node [midway, below] {$3$}
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(3, 0) -- node [midway, right] {$2$}
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(3, 1.5) coordinate (C) -- node [midway, right] {$2x$}
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(3, 2) --
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(1, 2) coordinate (B)--
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(0, 2) --
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(0, 1.5) coordinate (D)--
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cycle;
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\draw (A) -- (B);
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\draw (C) -- (D);
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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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