From 0780c0dd61c859a359268cb15eb9f015ed7a1a91 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Mon, 22 Nov 2021 10:23:21 +0100 Subject: [PATCH] =?UTF-8?q?Feat:=20Enlev=C3=A9=20un=20exo?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 2nd/Evaluations/DS_2021-11-22/exercises.tex | 195 ++++++++------------ 2nd/Evaluations/DS_2021-11-22/sujet.pdf | Bin 437714 -> 426745 bytes 2nd/Evaluations/DS_2021-11-22/sujet.tex | 1 - 3 files changed, 76 insertions(+), 120 deletions(-) diff --git a/2nd/Evaluations/DS_2021-11-22/exercises.tex b/2nd/Evaluations/DS_2021-11-22/exercises.tex index b41a41c..41c3198 100644 --- a/2nd/Evaluations/DS_2021-11-22/exercises.tex +++ b/2nd/Evaluations/DS_2021-11-22/exercises.tex @@ -1,86 +1,48 @@ -\begin{exercise}[subtitle={Lectures graphiques}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=4] - La justification des questions qui suivent se feront en traçant les traits de constructions. - \medskip - - \noindent - \begin{minipage}{0.5\textwidth} - \begin{enumerate} - \item Déterminer l'image de 3, de 0 puis de -3 par la fonction $f$ représentée ci-dessous. - \end{enumerate} - \begin{tikzpicture}[yscale=0.8, xscale=0.8] - \tkzInit[xmin=-5,xmax=5,xstep=1, - ymin=-4,ymax=5,ystep=1] - \tkzGrid - \tkzAxeXY - \draw[very thick, color=red] plot [smooth,tension=0.5] coordinates{% - (-4,4) (-3.5, 1) (-3,0) (-2, 1) (-1, 0) (0, -2) (1, -3) (2, -2) (2.5, 0) (3, 2) (4, 3) - }; - \draw (4,3) node[above left] {$\mathcal{C}_f$}; - \end{tikzpicture} - \end{minipage} - \begin{minipage}{0.5\textwidth} - \begin{enumerate} - \setcounter{enumi}{1} - \item Déterminer le/les antécédents de -2 puis de 0 par la fonction $g$ représentée ci-dessous. - \end{enumerate} - \begin{tikzpicture}[yscale=0.8, xscale=0.8] - \tkzInit[xmin=-5,xmax=5,xstep=1, - ymin=-4,ymax=5,ystep=1] - \tkzGrid - \tkzAxeXY - \draw[very thick, color=red] plot [smooth,tension=0.5] coordinates{% - (4,4) (3.5, 1) (3,0) (2, 1) (1, 0) (0, -2) (-1, -3) (-2, -2) (-2.5, 0) (-3, 2) (-4, 3) - }; - \draw (4,3) node[above left] {$\mathcal{C}_g$}; - \end{tikzpicture} - \end{minipage} - \begin{enumerate} - \setcounter{enumi}{2} - \item Expliquer comment fait-on pour déterminer les antécédents d'un nombre par une fonction. Vous pourrez illustrer vos explications avec un croquis. - \end{enumerate} -\end{exercise} - -\begin{exercise}[subtitle={Lectures graphiques}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique },points=4] - Sur le graphique ci-dessous, on a tracé la représentation graphique de la fonction: $f(x)$ - - Vous répondrez aux questions suivantes en utilisant le graphique ci-contre. - - \begin{minipage}{0.4\textwidth} +\begin{exercise}[subtitle={Tracé géométrique}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=2] + Faire les tracers demandés avec le plus de précision possible. + \begin{tasks}(2) + \task Le projeté orthogonal de $A$ sur la droite $(d)$ + \task Le projeté orthogonal de $B$ sur la droite $(d')$ + \end{tasks} + \begin{center} \begin{tikzpicture} - \begin{axis}[ - axis lines = center, - %grid = both, - xlabel = {$x$}, - xtick distance=1, - ylabel = {$y$}, - ytick distance=1, - legend entries={$f(x)$, $g(x)$} - ] - \addplot[domain=-3:5,samples=100, color=red, very thick]{4*sin(deg(x)*pi/2)}; - \end{axis} + \draw (-5, 0) -- (5, 0) node [above] {(d)}; + \draw (-5, -2) -- (5, 3) node [above] {(d')}; + \draw (3, -2) node {x} node [above] {A}; + \draw (-4, 2) node {x} node [above] {B}; \end{tikzpicture} - \end{minipage} - \begin{minipage}{0.6\textwidth} - \begin{enumerate} - \item Déterminer graphiquement les quantités suivantes - \begin{tasks}(2) - \task $f(1)$ - \task $f(2)$ - \end{tasks} - \item Résoudre graphiquement les équations suivantes - \begin{tasks}(2) - \task $f(x)=-2$ - \task $f(x)=0$ - \end{tasks} - \item Résoudre graphiquement l'inéquation suivante - \begin{tasks}(2) - \task $f(x)\leq 0$ - \end{tasks} - \end{enumerate} - \end{minipage} + \end{center} \end{exercise} -\begin{exercise}[subtitle={Expressions littérales}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=4] +\begin{exercise}[subtitle={Vrai ou faux?}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=8] + \begin{minipage}{0.5\linewidth} + $ABCD$ est un quadrilatère. Ses diagonales se coupent en un point $O$. On nous dit de plus que + \begin{tasks}[style=itemize] + \task $(AB)$ et $(CD)$ sont parallèles + \task $(AD)$ et $(BC)$ sont parallèles + \task $AO=4$ + \task $BO=3$ + \task $AB=DC=5$ + \end{tasks} + Amine a réalisé la figure à main levée ci-contre. + \end{minipage} + \begin{minipage}{0.5\linewidth} + \includegraphics[scale=0.2]{./fig/abcd_o} + + \end{minipage} + + Dire si les informations suivantes sont vraies ou fausses. Chaque réponse devrai être justifié. + \begin{tasks}(2) + \task $AOB$ est un triangle isocèle. + \task $AOB$ est un triangle rectangle. + \task $ABCD$ est un parallélogramme. + \task $ABCD$ est un losange. + \task $ABCD$ est un rectangle. + \task $ACB$ est un triangle isocèle. + \end{tasks} +\end{exercise} + +\begin{exercise}[subtitle={Expressions littérales}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=5] \begin{tasks} \task Démontrer qu'avec n'importe quel nombre de départ les deux programmes de calculs suivants donnent toujours le même résultat. @@ -116,51 +78,46 @@ \[ A = 3x(2x+1) - 5x \qquad B = (2x - 1)(5x - 2) \] - \end{tasks} \end{exercise} -\begin{exercise}[subtitle={Tracé géométrique}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=2] - Faire les tracers demandés avec le plus de précision possible. - \begin{tasks}(2) - \task Le projeté orthogonal de $A$ sur la droite $(d)$ - \task Le projeté orthogonal de $B$ sur la droite $(d')$ - \end{tasks} - \begin{center} +\begin{exercise}[subtitle={Lectures graphiques}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique },points=5] + Sur le graphique ci-dessous, on a tracé la représentation graphique de la fonction: $f(x)$ + + Vous répondrez aux questions suivantes en utilisant le graphique ci-contre. + + \begin{minipage}{0.4\textwidth} \begin{tikzpicture} - \draw (-5, 0) -- (5, 0) node [above] {(d)}; - \draw (-5, -2) -- (5, 3) node [above] {(d')}; - \draw (3, -2) node {x} node [above] {A}; - \draw (-4, 2) node {x} node [above] {B}; + \begin{axis}[ + axis lines = center, + %grid = both, + xlabel = {$x$}, + xtick distance=1, + ylabel = {$y$}, + ytick distance=1, + legend entries={$f(x)$, $g(x)$} + ] + \addplot[domain=-3:5,samples=100, color=red, very thick]{4*sin(deg(x)*pi/2)}; + \end{axis} \end{tikzpicture} - \end{center} -\end{exercise} - -\begin{exercise}[subtitle={Vrai ou faux?}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }, points=6] - \begin{minipage}{0.5\linewidth} - $ABCD$ est un quadrilatère. Ses diagonales se coupent en un point $O$. On nous dit de plus que - \begin{tasks}[style=itemize] - \task $(AB)$ et $(CD)$ sont parallèles - \task $(AD)$ et $(BC)$ sont parallèles - \task $AO=4$ - \task $BO=3$ - \task $AB=DC=5$ - \end{tasks} - Amine a réalisé la figure à main levée ci-contre. \end{minipage} - \begin{minipage}{0.5\linewidth} - \includegraphics[scale=0.2]{./fig/abcd_o} - + \begin{minipage}{0.6\textwidth} + \begin{enumerate} + \item Déterminer graphiquement les quantités suivantes + \begin{tasks}(3) + \task $f(1)$ + \task $f(0)$ + \task $f(2)$ + \end{tasks} + \item Résoudre graphiquement les équations suivantes + \begin{tasks}(2) + \task $f(x)=-2$ + \task $f(x)=0$ + \end{tasks} + \item Résoudre graphiquement l'inéquation suivante + \begin{tasks}(2) + \task $f(x)\leq 0$ + \end{tasks} + \end{enumerate} \end{minipage} - - Dire si les informations suivantes sont vraies ou fausses. Chaque réponse devrai être justifié. - \begin{tasks}(2) - \task $AOB$ est un triangle isocèle. - \task $AOB$ est un triangle rectangle. - \task $ABCD$ est un parallélogramme. - \task $ABCD$ est un losange. - \task $ABCD$ est un rectangle. - \task $ACB$ est un triangle isocèle. - \end{tasks} \end{exercise} - diff --git a/2nd/Evaluations/DS_2021-11-22/sujet.pdf b/2nd/Evaluations/DS_2021-11-22/sujet.pdf index bf5bb2b9e0f1fec5ab6496a597eb6400612be9f6..9afc16d5da5932c416a70cbc182ff7a7a38d1115 100644 GIT binary patch delta 43107 zcmZU4V~{R9(B;^+ZQIrz+qP{#W81cE`;I+#Y}@wCzWZ(M{@JQ@RVUr)%8w*|g{vhI3p)#IvJn^+U|V}LZgU*jZ&l-tIFg#^ z;@qbh6l`$K1Xqj95fAaf_%@i%YLt!4iB1|7;4k0YO`Swy7Aw&W(PWd2rd6Y(p^;0I zMDYqOw-aaiDw)xuN|r)ZiG_fTDNTmEb>07X+g_aBUR=#NNv4aEjGeZ%LoR|`WoBGM zv2k|fp64qIa1e;NuW#>X6QeFRgOJx|D!eoyul~gd>FvY!!xiTHv4Eb7NZ?_{rqm^C zULMy|Cn2RljU?F$+9c`3?R9`E-I4^4%V9p`a!EDYg1zovZb)D@PCb|%qSD62qVEm$ z=mo@^sDnsTcy7RDV+_%4|M0S5E?PNc#qy>FooYM0iS1nplZVd;qm5phU 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