106 lines
2.2 KiB
TeX
106 lines
2.2 KiB
TeX
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\documentclass[12pt]{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
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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}{Calcul 1}
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Soit $X\sim \mathcal{B}(5, 0.15)$. Calculer la quantité suivante
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\[
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P(X = 0) =
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\]
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On rappelle le triangle de Pascal
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\begin{tabular}{|*{7}{p{0.8cm}|}}
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\hline
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n \verb|\| k & 0 & 1 & 2 & 3 & 4 & 5\\
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\hline
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0 & 1 & & & & &\\
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\hline
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1 & 1 & 1 & & & &\\
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\hline
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2 & 1 & 2 & 1 & & &\\
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\hline
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3 & 1 & 3 & 3 & 1 & &\\
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\hline
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4 & 1 & 4 & 6 & 4 & 1 &\\
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\hline
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5 & 1 & 5 & 10 & 10 & 5 & 1\\
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\hline
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\end{tabular}
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\end{frame}
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\begin{frame}[fragile]{Calcul 2}
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Soit $(u_n)$ une suite géométrique de raison 1.1 et de premier terme 15. Compléter le programme qui calcule la somme des 20 premiers termes.
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\begin{lstlisting}[language=Python, basicstyle=\small, frame=]
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# Initialisation
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u = ...
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S = ...
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# Boucle
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for i in range(....):
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u = ...
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S = ...
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# Résultat final
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print(....)
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\end{lstlisting}
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\end{frame}
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\begin{frame}{Calcul 3}
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\noindent
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\begin{tabular}{|*{4}{p{2cm}|}c|}
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\hline
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& Moins de 20ans & entre 20 et 50 ans & Plus de 50ans & Total \\
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\hline
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Guéris & 20 & 16 & 30 & 66\\
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\hline
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Malade & 24 & 10 & 5 & 39\\
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\hline
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Total & 44 & 26 & 35 & 105\\
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\hline
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\end{tabular}
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On note
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\[
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A = \left\{ \mbox{Malade} \right\} \qquad B = \left\{ \mbox{Plus de 50ans} \right\} \qquad
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\]
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\vfill
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Calculer $P_B(\overline{A}) = $
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\vfill
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\end{frame}
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\begin{frame}[fragile]{Calcul 4}
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On note $(u_n)$ la suite arithmétique de raison $r = -1$ et de premier terme $u_0 = 100$. On a déjà calculé $u_{50} = 50$
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Calculer
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\[
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\sum_{n=0}^{50} u_n =
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\]
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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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