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autorisée} + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + % Suite + Un prix augmente de 5\euro tous les ans. En 2010, il était de 10\euro. + + On appelle $u_n$ la suite qui modélise ce prix. + + Quelle est la nature de la suite $(u_n)$, préciser ses paramètres. +\end{frame} + +\begin{frame}{Calcul 2} + % Opération ensembles + \begin{tabular}{|*{4}{c|}} + \hline + Section/regime & Interne & Externe & Total \\ + \hline + 1ST & 10 & 15 & 25 \\ + \hline + 1G & 14 & 17 & 31 \\ + \hline + Total & 24 & 32 & 56 \\ + \hline + \end{tabular} + \vfill + On note : + \begin{itemize} + \item S = "l'élève est en 1ST" + \item I = "l'élève est interne" + \end{itemize} + \vfill + Calculer la quantité $P_I(S)$ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 3} + % Variations + On donne la fonction et sa dérivée + \[ + f(x) = -6x^2 - 2x - 1 \qquad \qquad f'(x) = -12x -2 + \] + Compléter le tableau de signes et de variations suivant + \begin{center} + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=7]{$x$/1,Signe de $f'(x)$/2, Variations de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}% + \tkzTabLine{,,}% + \tkzTabVar{,}% + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + % probabilité + Calculer la probabilité $P(CC\overline{C})$ + \begin{center} + \begin{tikzpicture}[grow=down, sloped, scale=1] + \tikzset{level 1/.style={sibling distance=6cm}} + \tikzset{level 2/.style={sibling distance=3cm}} + \tikzset{level 3/.style={sibling distance=1.5cm}} + + \node {.} + child {node {C} + child {node {C} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child { node {$\overline{C}$} + child {node {C} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + }% + ; + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/1ST/Questions_flashs/P5/QF_S20-2.pdf b/1ST/Questions_flashs/P5/QF_S20-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..98ae39ef0718d4253b0e543bae6ee076a833e896 GIT binary patch literal 34329 zcmce-1CVUZwl3Pe+O}=m)@s|fR@=61+qP|YueNR5?!N0k=iPh$6KBVMH{OfAE23s) z`zb=hK+6J2@_VswVQ6J$a2S$-9-kiH#=snsn;V}_$<5XnpH5BI zz}(o-5uZ-c$-wbHdPHpOt?=poy8g!#4ES_{f;O)Bnt#4ZkIz8=pKon^I%$1Jd$Yg# 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En 2022, il était de 55\euro. + \vfill + + On appelle $u_n$ la suite qui modélise ce prix. + \vfill + + Quelle est la nature de la suite $(u_n)$, préciser ses paramètres. + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + % Opération ensembles + \begin{tabular}{|*{4}{c|}} + \hline + Section/regime & Interne & Externe & Total \\ + \hline + 1ST & 10 & 15 & 25 \\ + \hline + 1G & 14 & 17 & 31 \\ + \hline + Total & 24 & 32 & 56 \\ + \hline + \end{tabular} + \vfill + On note : + \begin{itemize} + \item S = "l'élève est en 1ST" + \item I = "l'élève est interne" + \end{itemize} + \vfill + Calculer la quantité $P(\overline{I} \cap S)$ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 3} + % Variations + On donne la fonction et sa dérivée + \[ + f(x) = - 2x - 1 \qquad \qquad f'(x) = -2 + \] + Compléter le tableau de signes et de variations suivant + \begin{center} + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=7]{$x$/1,Signe de $f'(x)$/2, Variations de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}% + \tkzTabLine{,,}% + \tkzTabVar{,}% + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + % probabilitéz + Calculer la probabilité $P(\mbox{avoir exactement 2} C)$ + \begin{center} + \begin{tikzpicture}[grow=down, sloped, scale=1] + \tikzset{level 1/.style={sibling distance=6cm}} + \tikzset{level 2/.style={sibling distance=3cm}} + \tikzset{level 3/.style={sibling distance=1.5cm}} + + \node {.} + child {node {C} + child {node {C} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child { node {$\overline{C}$} + child {node {C} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + child {node {C} + edge from parent + node[above] {0.6} + } + child {node {$\overline{C}$} + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + } + edge from parent + node[above] {0.4} + }% + ; + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}