From 05e677bb470a8a35e25bdb4d65db4863ede41570 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 7 Oct 2021 11:39:17 +0200 Subject: [PATCH] Feat: sujet 1 pour le devoir des 2nd --- 2nd/Evaluations/DS_2021-10-11/exercises.tex | 100 ++++++++++++++++++ .../DS_2021-10-11/sujet-figure0.md5 | 1 + .../DS_2021-10-11/sujet-figure1.md5 | 1 + 2nd/Evaluations/DS_2021-10-11/sujet.auxlock | 1 + 2nd/Evaluations/DS_2021-10-11/sujet.pdf | Bin 0 -> 52762 bytes 2nd/Evaluations/DS_2021-10-11/sujet.tex | 32 ++++++ 6 files changed, 135 insertions(+) create mode 100644 2nd/Evaluations/DS_2021-10-11/exercises.tex create mode 100644 2nd/Evaluations/DS_2021-10-11/sujet-figure0.md5 create mode 100644 2nd/Evaluations/DS_2021-10-11/sujet-figure1.md5 create mode 100644 2nd/Evaluations/DS_2021-10-11/sujet.auxlock create mode 100644 2nd/Evaluations/DS_2021-10-11/sujet.pdf create mode 100644 2nd/Evaluations/DS_2021-10-11/sujet.tex diff --git a/2nd/Evaluations/DS_2021-10-11/exercises.tex b/2nd/Evaluations/DS_2021-10-11/exercises.tex new file mode 100644 index 0000000..08eff6e --- /dev/null +++ b/2nd/Evaluations/DS_2021-10-11/exercises.tex @@ -0,0 +1,100 @@ +\begin{exercise}[subtitle={Club de sport}, step={1}, origin={Inspiré d'Internet}, topics={ Information Chiffrée }, tags={ Taux évolution, proportion }, points=8] + Un club de sport fait le bilan des activités qu'il propose et de l'évolution du nombre d'adhérents. Quelques valeurs ont été reportées dans le tableau suivant: + + \begin{center} + \begin{tabular}{|c|*{3}{p{2cm}|}} + \hline + Sports & 2010 & 2015 & 2020 \\ + \hline + Musculation & 60 & & 100 \\ + \hline + Natation & & & 55\\ + \hline + Cyclisme & 90 & & 52\\ + \hline + Athlétisme & 150 & 88 & 43\\ + \hline + Total & 325 & 300 & 250\\ + \hline + \end{tabular} + \end{center} + + Les questions suivantes sont indépendantes vous pouvez les traiter dans l'ordre que vous souhaitez. + + \begin{enumerate} + \item Calculer le nombre de personnes qui on fait de la natation en 2010. + \item En 2015, 15\% des adhérents faisaient de la musculation. Calculer le nombre d'inscrit en musculation en 2015. + \item Entre 2010 et 2015, le nombre d'inscrits à la musculation a baissé de 25\% tandis que le nombre d'inscrits en cyclisme a augmenté de 108\%. Déterminer les valeurs manquantes de 2015. + \item Calculer la proportion d'inscrits en musculation en 2020. + \item Calculer le taux d'évolution du nombre total d'inscrits en athlétisme entre 2010 et 2015 puis entre 2015 et 2020. Les résultats seront donnés en pourcentage arrondis à l'unité. + \item (Dure) Le président du club se rappelle que le nombre total d'inscrit avait augmenté de 30\% entre 2005 et 2010. Combien y avait-il d'inscrits en 2005? + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Calculs avec les fractions}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=6] + Calculer les quantités suivantes et donner le résultat sous forme de fraction irréductible. + \vfill + \begin{enumerate}[label={\Alph*}] + \item $= \dfrac{4}{15} + \dfrac{21}{15}$ + \vfill + \item $= \dfrac{4}{6} - \dfrac{7}{4}$ + \vfill + \item $= 3 - \dfrac{5}{8}$ + \vfill + \item $= \dfrac{1}{a} + \dfrac{4}{3a}$ + \vfill + + \item $= \dfrac{9}{10} \times 5$ + \vfill + \item $= \dfrac{16}{21} \times \dfrac{6}{10}$ + \vfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Lecture de graphiques}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=6] + On a représenté ci-contre la fonction $f$ pour $x$ allant -5 à 5. + + \noindent\begin{minipage}{0.5\linewidth} + \begin{enumerate} + \item + Décrire avec une phrase la/les quantité(s) cherchée(s) (représentée par des pointillés) puis la/les déterminer graphiquement (vous laisserez les traits de constructions) + \bigskip + \begin{multicols}{2} + \begin{enumerate} + \item $f(-3) = \dots$ + \item $f(\dots) = -2$ + \item $f(\dots) = 5$ + \item $f(\dots) \geq 3$ + \end{enumerate} + \end{multicols} + + \item Expliquer si la phrase suivante est vraie ou fausse. Vous illustrerez vos réponses avec un croquis. + \begin{center} + Une image peut avoir seulement 1 ou 2 antécédents. + \end{center} + \end{enumerate} + + \end{minipage} + \begin{minipage}{0.5\linewidth} + \begin{tikzpicture}[scale=0.8] + \tkzInit[xmin=-5,xmax=5,xstep=1, + ymin=-5,ymax=5,ystep=1] + \tkzGrid + \tkzAxeXY + \draw[very thick, color=red] plot [smooth,tension=0.5] coordinates{% + (-5, 1) + (-4, 3) + (-3, 4) + (-2, 3) + (-1, 0) + (0, -2) + (1, -4) + (2, -3) + (3, -4) + (4, -2) + (5, 0) + }; + \end{tikzpicture} + \end{minipage} +\end{exercise} + diff --git a/2nd/Evaluations/DS_2021-10-11/sujet-figure0.md5 b/2nd/Evaluations/DS_2021-10-11/sujet-figure0.md5 new file mode 100644 index 0000000..db323fa --- /dev/null +++ b/2nd/Evaluations/DS_2021-10-11/sujet-figure0.md5 @@ -0,0 +1 @@ +\def \tikzexternallastkey {5497C941BAD72D22C2B56A94BEFE32D8}% diff --git a/2nd/Evaluations/DS_2021-10-11/sujet-figure1.md5 b/2nd/Evaluations/DS_2021-10-11/sujet-figure1.md5 new file mode 100644 index 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+\DeclareExerciseCollection[step=1]{banque} +\xsimsetup{collect, +} + + +\begin{document} +\maketitle + +Le barème est donné à titre indicatif, il pourra être modifié. + +\input{exercises.tex} +\printcollection{banque} +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: +