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<++> +\end{exercise} + +\begin{solution} + <++> +\end{solution} diff --git a/2nd/19_Fonctions_de_reference/index.rst b/2nd/19_Fonctions_de_reference/index.rst new file mode 100644 index 0000000..b853da3 --- /dev/null +++ b/2nd/19_Fonctions_de_reference/index.rst @@ -0,0 +1,28 @@ +Fonctions de référence +###################### + +:date: 2023-05-15 +:modified: 2023-05-15 +:authors: Benjamin Bertrand +:tags: Fonction, Cours renversé +:category: 2nd +:summary: Cours expresse sur les fonctions de références sous la forme d'un cours renversé. + + +Éléments du programme +===================== + +Contenus +-------- + +Capacités attendues +------------------- + +Commentaires +------------ + +Progression +=========== + +Étape 1: +-------- diff --git a/2nd/Evaluations/DS_2023-05-17/source.pdf b/2nd/Evaluations/DS_2023-05-17/source.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d4a1e59e7aff0285a5b1ba05630689ed59b9c013 GIT binary patch literal 6281 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z3i`x=wB!sqvZiq|+(CNS$B|?r^t=5(EB|B2!^q0icV`w0IH!9Pr~cXSOsc(sS0MF&F+iC&cY_yQO zHsZV&ad|Kl2%Wq-y}DwV4yJh&vyv2L9*7ME+G;cEp2Xn={uIr3xg^~xijJV!b8l%2 ze-P+;&FkEo-2M2O;nC^4`DcRWQD1y!y!(qb&SL6&)VO7y?ziSqwr>d&*VL21yDKma zzTR*SxujH9d3*`b-wMQD9lQL|Z-C#VX$KVYZ<`tW)M}}MFJV42Sh}Q|Iv}HK-DlkT fnC$R{=Yuq%$(HI({#hJPJo}29Q$j`*cf9`rt#Rut literal 0 HcmV?d00001 diff --git a/2nd/Evaluations/DS_2023-05-17/source.tex b/2nd/Evaluations/DS_2023-05-17/source.tex new file mode 100644 index 0000000..9bcb814 --- /dev/null +++ b/2nd/Evaluations/DS_2023-05-17/source.tex @@ -0,0 +1,445 @@ +\documentclass[a4paper]{article} +\usepackage[francais,bloc,completemulti]{automultiplechoice} +\usepackage{base} +\geometry{left=10mm,right=10mm,top=5mm,bottom=10mm} + +\begin{document} + +\setdefaultgroupmode{withreplacement} + + +% barème question simple +\baremeDefautS{b=1,m=0,e=0,v=0} +% barème question multiple +%\baremeDefautM{b=1,m=0.5,p=0,e=0,v=0} + + +% ---------- Carré + +\element{carre}{ + \begin{question}{carreIntDefinition} + Quelle est l'intervalle de définition de la fonction carrée? + \begin{reponses} + \bonne{$\intOO{-\infty}{+\infty} = \R$} + \mauvaise{$\intFF{-10}{+10}$} + \mauvaise{$\intOO{-10}{+10}$} + \mauvaise{$\intFF{-\infty}{+\infty}$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{carre}{ + \begin{question}{carreFormule} + La fonction carré a pour formule. + \begin{reponses} + \bonne{$x^2$} + \mauvaise{$\sqrt{x}$} + \mauvaise{$\dfrac{1}{x}$} + \mauvaise{$x^3$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{carre}{ + \begin{questionmult}{carreSV1} + Sur l'intervalle $\intFF{4}{10}$ la fonction carré est + \begin{reponses} + \mauvaise{Décroissante} + \bonne{Croissante} + \mauvaise{Négative} + \bonne{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{carre}{ + \begin{questionmult}{carreSV2} + Sur l'intervalle $\intFF{-2}{-1}$ la fonction carré est + \begin{reponses} + \bonne{Décroissante} + \mauvaise{Croissante} + \mauvaise{Négative} + \bonne{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{carre}{ + \begin{questionmult}{carreAntecedant} + Quel(s) est(sont) le(s) antécédent(s) de 1 par la fonction carré? + \begin{reponses} + \bonne{-1} + \bonne{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{Aucune de ces réponses} + \end{reponses} + \end{questionmult} +} + +\element{carre}{ + \begin{question}{carreImage} + Quelle est l'image de 0 par la fonction carré? + \begin{reponses} + \mauvaise{2} + \mauvaise{1} + \mauvaise{$+\infty$} + \bonne{0} + \mauvaise{Aucune de ces réponses} + \end{reponses} + \end{question} +} + +% ---------- Racine + +\element{racine}{ + \begin{question}{racineIntDefinition} + Quelle est l'intervalle de définition de la fonction racine carré? + \begin{reponses} + \mauvaise{$\intOO{-\infty}{+\infty} = \R$} + \bonne{$\intFO{0}{+\infty}$} + \mauvaise{$\intOO{-10}{+10}$} + \mauvaise{$\intOO{0}{+\infty}$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{racine}{ + \begin{question}{racineFormule} + La fonction racine carré a pour formule. + \begin{reponses} + \mauvaise{$x^2$} + \bonne{$\sqrt{x}$} + \mauvaise{$\dfrac{1}{x}$} + \mauvaise{$x^3$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{racine}{ + \begin{questionmult}{racineSV} + Sur l'intervalle $\intFF{4}{10}$ la fonction racine carré est + \begin{reponses} + \mauvaise{Décroissante} + \bonne{Croissante} + \mauvaise{Négative} + \bonne{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{racine}{ + \begin{questionmult}{racineAntecedant1} + Quel(s) est(sont) le(s) antécédent(s) de 1 par la fonction racine carré? + \begin{reponses} + \mauvaise{-1} + \bonne{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{Aucune de ces réponses} + \end{reponses} + \end{questionmult} +} + +\element{racine}{ + \begin{questionmult}{racineAntecedant2} + Quel(s) est(sont) le(s) antécédent(s) de -1 par la fonction racine carré? + \begin{reponses} + \mauvaise{-1} + \mauvaise{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \bonne{-1 n'a pas d'antécédent} + \end{reponses} + \end{questionmult} +} + +\element{racine}{ + \begin{question}{racineImage} + Quelle est l'image de 0 par la fonction racine carré? + \begin{reponses} + \mauvaise{2} + \mauvaise{1} + \mauvaise{$+\infty$} + \bonne{0} + \mauvaise{Aucune de ces réponses, 0 est une valeur interdite} + \end{reponses} + \end{question} +} + +% ------ Inverse + +\element{inverse}{ + \begin{question}{inverseIntDefinition} + Quelle est l'intervalle de définition de la fonction inverse? + \begin{reponses} + \mauvaise{$\intOO{-\infty}{+\infty} = \R$} + \bonne{$\intOO{-\infty}{0} \cup \intOO{0}{+\infty}$} + \mauvaise{$\intOO{-\infty}{0} \cap \intOO{0}{+\infty}$} + \mauvaise{$\intOO{-10}{+10}$} + \mauvaise{$\intOO{0}{+\infty}$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{inverse}{ + \begin{question}{inverseFormule} + La fonction inverse a pour formule. + \begin{reponses} + \mauvaise{$x^2$} + \mauvaise{$\sqrt{x}$} + \bonne{$\dfrac{1}{x}$} + \mauvaise{$x^3$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{inverse}{ + \begin{questionmult}{inverseSV1} + Sur l'intervalle $\intFF{-2}{-1}$ la fonction inverse est + \begin{reponses} + \bonne{Décroissante} + \mauvaise{Croissante} + \bonne{Négative} + \mauvaise{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{inverse}{ + \begin{questionmult}{inverseSV2} + Sur l'intervalle $\intFF{4}{10}$ la fonction inverse est + \begin{reponses} + \bonne{Décroissante} + \mauvaise{Croissante} + \mauvaise{Négative} + \bonne{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{inverse}{ + \begin{questionmult}{inverseAntecedant1} + Quel(s) est(sont) le(s) antécédent(s) de 1 par la fonction inverse? + \begin{reponses} + \mauvaise{-1} + \bonne{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{Aucune de ces réponses} + \end{reponses} + \end{questionmult} +} + +\element{inverse}{ + \begin{questionmult}{inverseAntecedant2} + Quel(s) est(sont) le(s) antécédent(s) de -1 par la fonction inverse? + \begin{reponses} + \bonne{-1} + \mauvaise{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{-1 n'a pas d'antécédent} + \end{reponses} + \end{questionmult} +} + +\element{inverse}{ + \begin{question}{inverseImage} + Quelle est l'image de 0 par la fonction inverse carré? + \begin{reponses} + \mauvaise{2} + \mauvaise{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \bonne{Aucune de ces réponses, 0 est une valeur interdite} + \end{reponses} + \end{question} +} + +% ----------- Cube + +\element{cube}{ + \begin{question}{cubeIntDefinition} + Quelle est l'intervalle de définition de la fonction cube? + \begin{reponses} + \bonne{$\intOO{-\infty}{+\infty} = \R$} + \mauvaise{$\intOO{-\infty}{0} \cup \intFF{0}{+\infty}$} + \mauvaise{$\intOO{-\infty}{0} \cap \intFF{0}{+\infty}$} + \mauvaise{$\intOO{-10}{+10}$} + \mauvaise{$\intOO{0}{+\infty}$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{cube}{ + \begin{question}{cubeFormule} + La fonction cube a pour formule. + \begin{reponses} + \mauvaise{$x^2$} + \mauvaise{$\sqrt{x}$} + \mauvaise{$\dfrac{1}{x}$} + \bonne{$x^3$} + \mauvaise{Aucune des autres réponses.} + \end{reponses} + \end{question} +} + +\element{cube}{ + \begin{questionmult}{cubeSV1} + Sur l'intervalle $\intFF{-2}{-1}$ la fonction cube est + \begin{reponses} + \mauvaise{Décroissante} + \bonne{Croissante} + \bonne{Négative} + \mauvaise{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{cube}{ + \begin{questionmult}{cubeSV2} + Sur l'intervalle $\intFF{4}{10}$ la fonction cube est + \begin{reponses} + \mauvaise{Décroissante} + \bonne{Croissante} + \mauvaise{Négative} + \bonne{Positive} + \mauvaise{Nulle} + \end{reponses} + \end{questionmult} +} + +\element{cube}{ + \begin{questionmult}{cubeAntecedant1} + Quel(s) est(sont) le(s) antécédent(s) de 1 par la fonction cube? + \begin{reponses} + \mauvaise{-1} + \bonne{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{Aucune de ces réponses} + \end{reponses} + \end{questionmult} +} + +\element{cube}{ + \begin{questionmult}{cubeAntecedant2} + Quel(s) est(sont) le(s) antécédent(s) de -1 par la fonction cube? + \begin{reponses} + \bonne{-1} + \mauvaise{1} + \mauvaise{$+\infty$} + \mauvaise{0} + \mauvaise{2} + \mauvaise{-1 n'a pas d'antécédent} + \end{reponses} + \end{questionmult} +} + +\element{cube}{ + \begin{question}{cubeImage} + Quelle est l'image de 0 par la fonction cube carré? + \begin{reponses} + \mauvaise{2} + \mauvaise{1} + \mauvaise{$+\infty$} + \bonne{0} + \mauvaise{Aucune de ces réponses, 0 est une valeur interdite} + \end{reponses} + \end{question} +} + + +\exemplaire{2}{ + + \noindent{\bf QCM \hfill Fonctions de références} + + \begin{minipage}{.4\linewidth} + \centering\Large\bf QCM: Fonctions de références \\ 2GT1 - 17 mai 2022 + + %\normalsize Durée : 10 minutes. + \end{minipage} + \begin{minipage}{.6\linewidth} + \champnom{% + \fbox{ + \begin{minipage}{0.8\linewidth} + Nom, prénom, classe: + + \vspace*{.5cm}\dotfill + \vspace*{1mm} + \end{minipage} + } + + } + + %\AMCcodeGridInt[h]{etu}{2} + \end{minipage} + + \bigskip + Exposé réalisé sur la fonction \parbox{3cm}{\dotfill} \hfill + QCM réalisé \hspace{0.5cm} \Ovalbox{au tableau} \hspace{0.5cm} \Ovalbox{en fond de classe} + + \bigskip + Les questions faisant apparaître le symbole \multiSymbole{} peuvent présenter une ou plusieurs bonnes réponses. + + \section*{Fonction carré} + \begin{multicols}{2} + + \restituegroupe[4]{carre} + + \end{multicols} + + \bigskip + \hline + \bigskip + + \section*{Fonction cube} + \begin{multicols}{2} + + \restituegroupe[4]{cube} + + \end{multicols} + + \clearpage + + \section*{Fonction racine carré} + \begin{multicols}{2} + + \restituegroupe[4]{racine} + + \end{multicols} + + \bigskip + \hline + \bigskip + + \section*{Fonction inverse} + \begin{multicols}{2} + + \restituegroupe[4]{inverse} + + \end{multicols} + +} + +\end{document}