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\end{solution}
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\begin{exercise}[subtitle={Algébrique -> Exponentielle}, step={2}, origin={Création}, topics={Exponentielle complexe}, tags={Complexe}]
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Placer les nombres suivants sur le plan complexe puis mettre sous forme exponentielle.
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\begin{multicols}{3}
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\begin{enumerate}
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\item $z_1 = 1$
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\item $z_2 = -3i$
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\item $z_3 = 1 + i\sqrt{3}$
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\item $z_4 = \sqrt{3} + i$
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\item $z_4 = 2i$
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\item $z_5 = \sqrt{3} + i$
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\item $z_6 = 10\sqrt{3}i$
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\item $z_7 = 1 - i$
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\item $z_8 = \sqrt{3} + 3i$
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\item $z_9 = \frac{-1 - i\sqrt{3}}{2}$
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\item $z_5 = 1 - i$
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\item $z_6 = \frac{-1 - i\sqrt{3}}{2}$
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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\begin{exercise}[subtitle={Exponentielle -> Algébrique}, step={2}, origin={Création}, topics={Exponentielle complexe}, tags={Complexe}]
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Placer les nombres suivants sur le plan complexe puis mettre sous forme algébrique.
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\begin{multicols}{3}
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\begin{enumerate}
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\item $z_1 = e^{i\pi}$
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\item $z_2 = e^{-i\frac{\pi}{3}}$
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\item $z_3 = 2e^{i\frac{\pi}{4}}$
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\item $z_2 = 1e^{i\frac{\pi}{4}}$
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\item $z_4 = e^{-i\frac{\pi}{2}}$
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\item $z_5 = 5e^{-i\frac{4\pi}{3}}$
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\item $z_6 = e^{i\frac{\pi}{2}} + e^{-2i\pi}$
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\item $z_3 = e^{-i\frac{\pi}{2}}$
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\item $z_4 = 5e^{-i\frac{4\pi}{3}}$
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\item $z_7 = 10e^{i\frac{2\pi}{6}}$
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\item $z_8 = \frac{1}{2}e^{i\pi}$
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\item $z_9 = 56e^{-i\frac{\pi}{6}}$
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\item $z_5 = 10e^{i\frac{2\pi}{6}}$
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\item $z_6 = \frac{1}{2}e^{i\pi}$
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\end{enumerate}
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\end{multicols}
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\end{exercise}
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TST_sti2d/Questions_Flash/P3/QF_21_02_01-2.pdf
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TST_sti2d/Questions_Flash/P3/QF_21_02_01-2.pdf
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TST_sti2d/Questions_Flash/P3/QF_21_02_01-2.tex
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TST_sti2d/Questions_Flash/P3/QF_21_02_01-2.tex
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\documentclass[14pt]{classPres}
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\usepackage{tkz-fct}
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\author{}
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\title{}
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\date{}
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\begin{document}
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\begin{frame}{Questions flashs}
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\begin{center}
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\vfill
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Terminale ST \\ Spé sti2d
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\vfill
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30 secondes par calcul
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\vfill
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\tiny \jobname
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\end{center}
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\end{frame}
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\begin{frame}[fragile]{Calcul 1}
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Calculer la quantité
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\[
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\int_1^{10} 4e^{-0.5x} \; dx
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\]
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\end{frame}
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\begin{frame}{Calcul 2}
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Dériver la fonction suivante
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\[
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f(x) = x^2 e^{-0.1x}
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\]
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\vfill
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\end{frame}
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\begin{frame}{Calcul 3}
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Écrire le nombre complexe suivant sous forme algébrique
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\[
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z = \frac{10}{1-2i}
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\]
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\end{frame}
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\begin{frame}{Fin}
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\begin{center}
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On retourne son papier.
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\end{center}
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\end{frame}
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\end{document}
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