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zTc~)C6*UH1^s1@ltx9I1OE>Nn)JdY7rPX1Y$W-H%9STP;vY(h3&sC<7%1}-T;d!|eI*-!sE-bIB7rrr`p%8>h1$4=K!ts#<`R2y+2LT|A)Ao9~}A69+#g9i5blH0FN+B?ddJ diff --git a/TST_sti2d/DS/DS_21_02_25/DS_21_02_25.tex b/TST_sti2d/DS/DS_21_02_25/DS_21_02_25.tex index b2c5b13..b0825b6 100644 --- a/TST_sti2d/DS/DS_21_02_25/DS_21_02_25.tex +++ b/TST_sti2d/DS/DS_21_02_25/DS_21_02_25.tex @@ -11,17 +11,37 @@ \baremeDefautS{b=1,m=0} \element{expComplexe}{ - \begin{question}{Algébrique vers exponentielle} - La forme exponentielle du nombre $z = \sqrt{3} - i$ est + \begin{question}{Module} + Le module du nombre $z = 4 - 3i$ est \begin{reponseshoriz} - \bonne{$2e^{-\frac{\pi}{6}i}$} - \mauvaise{$e^{-\frac{\pi}{3}i}$} - \mauvaise{$3e^{\frac{\pi}{6}i}$} - \mauvaise{$2e^{\frac{\pi}{4}i}$} + \bonne{$5$} + \mauvaise{$7$} + \mauvaise{$3i$} + \mauvaise{$4+3i$} \end{reponseshoriz} \end{question} -} -\element{expComplexe}{ + + \begin{question}{Argument} + Sachant que le module du nombre complexe $z = \sqrt{3} - i$ est $r = 2$. + L'argument de $z$ est + \begin{reponseshoriz} + \bonne{$-\frac{\pi}{6}$} + \mauvaise{$\frac{\pi}{6}$} + \mauvaise{$\frac{-1}{2}$} + \mauvaise{$\frac{\sqrt{3}}{2}$} + \end{reponseshoriz} + \end{question} + + \begin{question}{Algébrique vers exponentielle} + Sachant que le nombre complexe $z = -\sqrt{2} + \sqrt{2}i$ a pour module $r = 2$ et pour argument $\theta = \frac{3\pi}{4}$. Sa forme trigonométrique est + \begin{reponseshoriz} + \bonne{$2e^{\frac{3\pi}{4}i}$} + \mauvaise{$-\sqrt{2} - \sqrt{2}i$} + \mauvaise{$\frac{3\pi}{4}e^{2i}$} + \mauvaise{impossible à connaître} + \end{reponseshoriz} + \end{question} + \begin{question}{Exponentielle vers algébrique} La forme algébrique du nombre $z = 2e^{\frac{\pi}{3}i}$ est \begin{reponseshoriz} @@ -31,9 +51,7 @@ \mauvaise{$\frac{1}{2} - \frac{\sqrt{3}}{2} i$} \end{reponseshoriz} \end{question} -} -\element{expComplexe}{ \begin{question}{Multiplication complexes} Soit $z_A = 2e^{\frac{\pi}{2}i}$ et $z_B = 4e^{\pi i}$. Alors $z_A \times z_B$ vaut \begin{reponseshoriz} @@ -43,9 +61,7 @@ \mauvaise{impossible} \end{reponseshoriz} \end{question} -} -\element{expComplexe}{ \begin{question}{Quotient complexes} Soit $z_A = 3e^{\frac{\pi}{6}i}$ et $z_B = e^{\frac{\pi}{2}i}$. Alors $\frac{z_A}{z_B}$ vaut \begin{reponseshoriz} @@ -55,7 +71,7 @@ \end{reponseshoriz} \end{question} } -\setgroupmode{expComplexe}{withreplacement} + \element{exponentielle}{ \begin{question}{Dérivation} @@ -93,26 +109,15 @@ \end{question} } -\element{exponentielle}{ - \begin{question}{Vérifier une primitive} - Soit $f(x) = (3x^2 + 2x + 3)e^{3x}$. Alors une primitive de $f(x)$ est - \begin{reponseshoriz} - \bonne{$F(x) = (x^2 + 1)e^{3x} + 100$} - \mauvaise{$F(x) = (9x + 6)e^{3x}$} - \mauvaise{$F(x) = (x^2+2)e^{3x}$} - \end{reponseshoriz} - \end{question} -} \setgroupmode{exponentielle}{withreplacement} \exemplaire{2}{ - \noindent{\bf QCM \hfill DS 6} - \begin{minipage}{.4\linewidth} \centering\Large\bf DS 6 - Tsti2d \\ 25/02/2021 - %\normalsize Durée : 10 minutes. + \normalsize + L'usage de la calculatrice est interdit. \end{minipage} \begin{minipage}{.6\linewidth} \champnom{% @@ -126,21 +131,14 @@ } } - \AMCcodeGridInt[h]{etu}{2} \end{minipage} - \begin{center}\em - - Aucun document n'est autorisé. - L'usage de la calculatrice est interdit. - - \end{center} %%% fin de l'en-tête - \restituegroupe[4]{expComplexe} - \restituegroupe[4]{exponentielle} + \restituegroupe[1]{expComplexe} + \restituegroupe[3]{exponentielle} %\AMCaddpagesto{2} }