From 8c2787f73dde9531fd7af0582a3ad06583490675 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 18 Nov 2021 10:53:18 +0100 Subject: [PATCH] =?UTF-8?q?Feat:=20d=C3=A9but=20du=20DS3=20pour=20les=202n?= =?UTF-8?q?d?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 2nd/Evaluations/DS_2021-11-22/exercises.tex | 82 ++++++++++++++++++++ 2nd/Evaluations/DS_2021-11-22/sujet.pdf | Bin 0 -> 56382 bytes 2nd/Evaluations/DS_2021-11-22/sujet.tex | 31 ++++++++ 3 files changed, 113 insertions(+) create mode 100644 2nd/Evaluations/DS_2021-11-22/exercises.tex create mode 100644 2nd/Evaluations/DS_2021-11-22/sujet.pdf create mode 100644 2nd/Evaluations/DS_2021-11-22/sujet.tex diff --git a/2nd/Evaluations/DS_2021-11-22/exercises.tex b/2nd/Evaluations/DS_2021-11-22/exercises.tex new file mode 100644 index 0000000..6a5cce5 --- /dev/null +++ b/2nd/Evaluations/DS_2021-11-22/exercises.tex @@ -0,0 +1,82 @@ +\begin{exercise}[subtitle={Lectures graphiques}, step={1}, origin={Ma tête}, topics={Analyse}, tags={ Lecture graphique }] + 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 }] + 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} + \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{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{exercise} + diff --git a/2nd/Evaluations/DS_2021-11-22/sujet.pdf b/2nd/Evaluations/DS_2021-11-22/sujet.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b244560cc085a3381285be40628c16bf73a1b5c9 GIT binary patch literal 56382 zcmce-W2`7m+aYN+qP}nwr$(rxnIn@$v4T&pXceMJCzHST3OYV z?pjxo$_tCqGSaa^kUe-9H(|B(JKnNCd1|2`1^EQ0?U5N!WG5dX~Fe+dZY z|H;IEE#GVmtc?G;e*fQ>?<*|{8xr>9?hDnyDXLuJNiR%YI$kSm(@7CJgX7)v0GhIL z)>(z3p{q2Vot*=;J~bvL=0iFQ0t`AMChb^H{J+;&jP$anx!S`3B=*l$>%BBv<$|Qc zr=6hr8qe<8X9B(t$J>J(`Hpvu6|s^@*3pz4K6V+mv64a8StRR}T*}l;iH{ro&ev5* z4_x^CGDS#c+H0uSqhLfKc3`|XQ=hRFCSALLf{n|HXfhO?L{$)q%IbvA}_+r1hh%PsS z_&QShR1)$q%18bb_`Rgu$8d)IrDI!$dG7g`rge^+7EY?=g!79m#TR@ljOkxI#%{aaQWvkx&R5jWyPgbjk=Aa>+Sgc`Evo) zD=tr1GSLUiJEeq%%*VUiyAo6rv&VX8>Q}Dh|sxWP66$c7-&o@Ji 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+\usepackage{pgfplots} +\pgfplotsset{compat = newest} +\usepgfplotslibrary{external} +\tikzexternalize + +% Title Page +\title{ DS3 \hfill } +\tribe{2nd} +\date{2021-11-22} +\duree{1h} + +\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: +