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/dev/null +++ b/StLaurentGrandvaux/5e/DS/19_05_22-1.tex @@ -0,0 +1,141 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{DS 1} +\tribe{Cinquième} +\date{22 mai 2018} + +\sujet{1} + +\begin{document} + +%\competencesStatement + +\maketitle +\bigskip +\begin{exercise}[subtitle={Géométrie}] + \hspace{-1cm} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \item Termine le parallélogramme $ABCD$ + \begin{tikzpicture}[scale=0.8] + \draw (8, 0) node[below left] {$A$} + -- (0, 0) node[above left] {$B$} + -- (2, 4) node[above left] {$C$}; + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \setcounter{enumi}{1} + \item Termine le parallélogramme $EFGH$ + \begin{tikzpicture}[scale=0.8] + \draw (0, 0) node[below left] {$E$} + -- (2, 2) node[above left] {$F$} + -- (7, 1) node[above] {$G$}; + \draw [draw=none] (0, -2.5); + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{enumerate} + \setcounter{enumi}{2} + \item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$. + \vspace{4cm} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Problèmes}] + \begin{enumerate} + \item Chez un boucher, 800g de viande coûtent 12\euro. Combien va coûter 600g de viande? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique.Il descend de 25 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Auguste, l'empereur romain, est né en -63 et est décédé en -27. Combien de temps a-t-il vécu? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Relatifs}] + Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises. + + \begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|} + \hline + & Profits & Coûts & Bénéfices \\ + \hline + Gagnepeu & 5 & 10 & \\ + \hline + Bossebien & 45 & 20 & \\ + \hline + Bienfait & 65 & 83 & \\ + \hline + Parletoujours & 5,7 & 8,3 & \\ + \hline + \end{tabular} + \begin{enumerate} + \item Complète le tableau en indiquant les calculs faits. + \item Classe les entreprises par ordre croissant de leurs bénéfices. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Bataille}] + \begin{minipage}{0.5\textwidth} + \begin{tikzpicture}[scale=0.8] + \filldraw[very thick, ->] (-5.5,0) -- (5.5,0); + \filldraw[very thick, ->] (0,-5.5) -- (0,5.5); + \draw[step=1] (-5,-5) grid (5,5); + + \draw (3, 4) node {x} node[above left] {$A$}; + \draw (-3, 1) node {x} node[above left] {$B$}; + \draw (0, -4) node {x} node[above left] {$C$}; + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.4\textwidth} + \begin{enumerate} + \item Décrire précisément la position des points: + \begin{itemize} + \item $A$ \dotfill + \item $B$ \dotfill + \item $C$ \dotfill + \end{itemize} + \item Placer les points sur le repère. + \begin{itemize} + \item $L (4;2)$ + \item $M (-3;-2)$ + \end{itemize} + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Calculs}] + Faire les calculs en détaillant les étapes. + + \vfill + $56 - 8 \times 5 = $ + \vfill + $\dfrac{2}{5} + \dfrac{3}{5} = $ + \vfill + $\dfrac{1}{2} + \dfrac{3}{4} = $ + \vfill +\end{exercise} + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: diff --git a/StLaurentGrandvaux/5e/DS/19_05_22-2.pdf b/StLaurentGrandvaux/5e/DS/19_05_22-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..8cb0917922f1d165ff11f644a07245670bfbdccc GIT binary patch literal 61057 zcmce;bBrj@wl+MrZ5w-R+qU-Dwr$(CZQJ%9+qP%E{k!iy$xZH;yzf8fbkdc=>PkIX 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+\maketitle +\bigskip +\begin{exercise}[subtitle={Relatifs}] + Pour calculer les bénéfices d'une entreprise, on fait la \textbf{différence} entre les profits et les coûts. Voici les données concernant quelques entreprises. + + \begin{tabular}{|c|*{2}{p{2cm}|}p{7cm}|} + \hline + & Profits & Coûts & Bénéfices \\ + \hline + Gagnepeu & 6 & 13 & \\ + \hline + Bossebien & 54 & 30 & \\ + \hline + Bienfait & 74 & 81 & \\ + \hline + Parletoujours & 4,2 & 6,3 & \\ + \hline + \end{tabular} + \begin{enumerate} + \item Complète le tableau en indiquant les calculs faits. + \item Classe les entreprises par ordre croissant de leurs bénéfices. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Bataille}] + \begin{minipage}{0.5\textwidth} + \begin{tikzpicture}[scale=0.8] + \filldraw[very thick, ->] (-5.5,0) -- (5.5,0); + \filldraw[very thick, ->] (0,-5.5) -- (0,5.5); + \draw[step=1] (-5,-5) grid (5,5); + + \draw (1, 2) node {x} node[above left] {$A$}; + \draw (2, -3) node {x} node[above left] {$B$}; + \draw (-3, 0) node {x} node[above left] {$C$}; + \end{tikzpicture} + \end{minipage} + \begin{minipage}{0.4\textwidth} + \begin{enumerate} + \item Décrire précisément la position des points: + \begin{itemize} + \item $A$ \dotfill + \item $B$ \dotfill + \item $C$ \dotfill + \end{itemize} + \item Placer les points sur le repère. + \begin{itemize} + \item $L (3;4)$ + \item $M (3;-2)$ + \end{itemize} + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Problèmes}] + \begin{enumerate} + \item Chez un boucher, 900g de viande coûtent 21\euro. Combien va coûter 600g de viande? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Du haut d’un viaduc, Xavier s’élance dans le vide, les pieds attachés à un élastique. Il descend de 35 m, remonte de 12m, redescend de 8m, remonte de 3m, redescend de 1 m et remonte de 0,5 m. Calculer à combien de mètres sous le viaduc Xavier s’est immobilisé. + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + + \item Alexandre le Grand, est né en -356 et est décédé en -323. Combien d'années a-t-il vécu? + \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + .\dotfill \\[0.2cm] + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Calculs}] + Faire les calculs en détaillant les étapes. + + \vfill + $51 - 7 \times 6= $ + \vfill + $\dfrac{5}{7} + \dfrac{3}{7} = $ + \vfill + $\dfrac{3}{2} + \dfrac{1}{4} = $ + \vfill +\end{exercise} + +\begin{exercise}[subtitle={Géométrie}] + \hspace{-1cm} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \item Termine le parallélogramme $ABCD$ + \begin{tikzpicture}[scale=0.8] + \draw (8, 0) node[below left] {$A$} + -- (0, 0) node[above left] {$B$} + -- (2, 4) node[above left] {$C$}; + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \setcounter{enumi}{1} + \item Termine le parallélogramme $EFGH$ + \begin{tikzpicture}[scale=0.8] + \draw (0, 0) node[below left] {$E$} + -- (2, 2) node[above left] {$F$} + -- (7, 1) node[above] {$G$}; + \draw [draw=none] (0, -2.5); + \end{tikzpicture} + \end{enumerate} + \end{minipage} + \begin{enumerate} + \setcounter{enumi}{2} + \item Tracer le triangle $IJK$ tel que $IJ = 2cm$, $JK=5cm$ et $IK=4cm$. + \vspace{4cm} + \end{enumerate} +\end{exercise} + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: