From 8135bc6b00dd463d0b24dad7b948e2ca9073b429 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 11 Oct 2021 10:32:12 +0200 Subject: [PATCH] Feat: ajout d'un exo --- 2nd/Evaluations/DS_2021-10-11/exercises.tex | 56 +++++++++++------- .../fig/formule_energie_cinetique.png | Bin 0 -> 206640 bytes 2nd/Evaluations/DS_2021-10-11/sujet.pdf | Bin 79225 -> 339189 bytes 3 files changed, 36 insertions(+), 20 deletions(-) create mode 100644 2nd/Evaluations/DS_2021-10-11/fig/formule_energie_cinetique.png diff --git a/2nd/Evaluations/DS_2021-10-11/exercises.tex b/2nd/Evaluations/DS_2021-10-11/exercises.tex index d1df609..2c5454a 100644 --- a/2nd/Evaluations/DS_2021-10-11/exercises.tex +++ b/2nd/Evaluations/DS_2021-10-11/exercises.tex @@ -54,7 +54,7 @@ \end{enumerate} \end{solution} -\begin{exercise}[subtitle={Calculs avec les fractions}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=6] +\begin{exercise}[subtitle={Calculs avec les fractions}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=5] Calculer les quantités suivantes et donner le résultat sous forme de fraction irréductible. \vfill \begin{enumerate}[label={\Alph*}] @@ -66,33 +66,49 @@ \vfill \item $= \dfrac{1}{a} + \dfrac{4}{3a}$ \vfill - - \item $= \dfrac{9}{10} \times 5$ - \vfill + %\item $= \dfrac{9}{10} \times 5$ + % \vfill \item $= \dfrac{16}{21} \times \dfrac{6}{10}$ \vfill \end{enumerate} \end{exercise} \begin{solution} - \begin{enumerate}[label={\Alph*}] - \item $= \dfrac{4}{15} + \dfrac{21}{15} = \dfrac{25}{15} = \dfrac{5}{3}$ - \vfill - \item $= \dfrac{4}{6} - \dfrac{7}{4} = \dfrac{8}{12} -\dfrac{21}{12} = \dfrac{-13}{12}$ - \vfill - \item $= 3 - \dfrac{5}{8} = \dfrac{24}{8} - \dfrac{5}{8} = \dfrac{19}{8}$ - \vfill - \item $= \dfrac{1}{a} + \dfrac{4}{3a} = \dfrac{3}{3a} + \dfrac{4}{3a} = \dfrac{7}{3a}$ - \vfill - - \item $= \dfrac{9}{10} \times 5 = \dfrac{9 \times 5}{10} = \dfrac{9 \times 5}{2 \times 5} = \dfrac{9}{2}$ - \vfill - \item $= \dfrac{16}{21} \times \dfrac{6}{10} = \dfrac{16 \times 6}{21 \times 10} = \dfrac{2 \times 8 \times 3\times 2}{3 \times 7 \times 2 \times 5} = \dfrac{16}{35}$ - \vfill - \end{enumerate} + \begin{enumerate}[label={\Alph*}] + \item $= \dfrac{4}{15} + \dfrac{21}{15} = \dfrac{25}{15} = \dfrac{5}{3}$ + \vfill + \item $= \dfrac{4}{6} - \dfrac{7}{4} = \dfrac{8}{12} -\dfrac{21}{12} = \dfrac{-13}{12}$ + \vfill + \item $= 3 - \dfrac{5}{8} = \dfrac{24}{8} - \dfrac{5}{8} = \dfrac{19}{8}$ + \vfill + \item $= \dfrac{1}{a} + \dfrac{4}{3a} = \dfrac{3}{3a} + \dfrac{4}{3a} = \dfrac{7}{3a}$ + \vfill + %\item $= \dfrac{9}{10} \times 5 = \dfrac{9 \times 5}{10} = \dfrac{9 \times 5}{2 \times 5} = \dfrac{9}{2}$ + % \vfill + \item $= \dfrac{16}{21} \times \dfrac{6}{10} = \dfrac{16 \times 6}{21 \times 10} = \dfrac{2 \times 8 \times 3\times 2}{3 \times 7 \times 2 \times 5} = \dfrac{16}{35}$ + \vfill + \end{enumerate} \end{solution} -\begin{exercise}[subtitle={Lecture de graphiques}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=6] +\begin{exercise}[subtitle={Énergie cinétique}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=2] + \begin{minipage}{0.5\linewidth} + La formule de l'énergie cinétique est rappelée ci-contre. + \begin{enumerate} + \item Calculer l'énergie cinétique d'une voiture de $1200kg$ qui roule à $300m.s^{-1}$. + \item Calculer l'énergie cinétique d'un grain de maïs de $10g$ lancé à $10m.s^{-1}$. + \end{enumerate} + \end{minipage} + \hfill + \begin{minipage}{0.4\linewidth} + \includegraphics[scale=0.25]{./fig/formule_energie_cinetique} + \end{minipage} +\end{exercise} + +\begin{solution} + solution +\end{solution} + +\begin{exercise}[subtitle={Lecture de graphiques}, step={1}, origin={Le chapeau}, topics={Calculs}, tags={Fractions}, points=5] On a représenté ci-contre la fonction $f$ pour $x$ allant -5 à 5. \noindent\begin{minipage}{0.5\linewidth} diff --git a/2nd/Evaluations/DS_2021-10-11/fig/formule_energie_cinetique.png 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