From 3f7ea76cd86023bea281db7b1405c7964619e4ba Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sun, 14 Mar 2021 09:33:34 +0100 Subject: [PATCH] Feat: QF pour les TST sur S11 --- TST/Questions_Flash/P4/QF_21_03_15-1.pdf | Bin 0 -> 71321 bytes TST/Questions_Flash/P4/QF_21_03_15-1.tex | 105 +++++++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_15-2.pdf | Bin 0 -> 71879 bytes TST/Questions_Flash/P4/QF_21_03_15-2.tex | 105 +++++++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_15-3.pdf | Bin 0 -> 71425 bytes TST/Questions_Flash/P4/QF_21_03_15-3.tex | 105 +++++++++++++++++++++++ 6 files changed, 315 insertions(+) create mode 100644 TST/Questions_Flash/P4/QF_21_03_15-1.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_15-1.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_15-2.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_15-2.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_15-3.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_15-3.tex diff --git 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a/TST/Questions_Flash/P4/QF_21_03_15-2.tex b/TST/Questions_Flash/P4/QF_21_03_15-2.tex new file mode 100755 index 0000000..9ef89ed --- /dev/null +++ b/TST/Questions_Flash/P4/QF_21_03_15-2.tex @@ -0,0 +1,105 @@ +\documentclass[12pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Terminale ST + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + Soit $X\sim \mathcal{B}(20, 0.15)$. Calculer la quantité suivante + \[ + E[X] = + \] + On rappelle le triangle de Pascal + + \begin{tabular}{|*{7}{p{0.8cm}|}} + \hline + n \verb|\| k & 0 & 1 & 2 & 3 & 4 & 5\\ + \hline + 0 & 1 & & & & &\\ + \hline + 1 & 1 & 1 & & & &\\ + \hline + 2 & 1 & 2 & 1 & & &\\ + \hline + 3 & 1 & 3 & 3 & 1 & &\\ + \hline + 4 & 1 & 4 & 6 & 4 & 1 &\\ + \hline + 5 & 1 & 5 & 10 & 10 & 5 & 1\\ + \hline + \end{tabular} +\end{frame} + +\begin{frame}[fragile]{Calcul 2} + Soit $(u_n)$ une suite géométrique de raison 2 et de premier terme 10. Compléter le programme qui calcule la somme des 5 premiers termes. + + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + u = ... + S = ... + + # Boucle + for i in range(....): + u = ... + S = ... + + # Résultat final + print(....) + \end{lstlisting} +\end{frame} + +\begin{frame}{Calcul 3} + \noindent + \begin{tabular}{|*{4}{p{2cm}|}c|} + \hline + & Moins de 20ans & entre 20 et 50 ans & Plus de 50ans & Total \\ + \hline + Guéris & 20 & 16 & 30 & 66\\ + \hline + Malade & 24 & 10 & 5 & 39\\ + \hline + Total & 44 & 26 & 35 & 105\\ + \hline + \end{tabular} + + On note + \[ + A = \left\{ \mbox{Malade} \right\} \qquad B = \left\{ \mbox{Plus de 50ans} \right\} \qquad + \] + + \vfill + Calculer $P_B(A) = $ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + On note $(u_n)$ la suite arithmétique de raison $r = 0.5$ et de premier terme $u_0 = 100$. On a déjà calculé $u_{10} = 105$ + + Calculer + \[ + \sum_{n=0}^{10} u_n = + \] + +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document} diff --git a/TST/Questions_Flash/P4/QF_21_03_15-3.pdf b/TST/Questions_Flash/P4/QF_21_03_15-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b306b687b3af1808ef33c968e34ec609fa05b603 GIT binary patch literal 71425 zcmce-1#Bfv(j{tcGcz+YGcz+YGcz;0&CG5ywwc*(Gcz+Yv%UUiXWkpVf25s#(o9Kt zl{YIZbwimEQE|?>B=W+dGz_#XkR;RdgUgT%^!W7nc7~Ra+}x0K${zM6_;l)WhL$Eq z&X9CUE{4v38xgg0w1K1(6tr{4*ZONd1O4Bc4kX=QcmDPi10zgwOETkRl|Vw27^mvpGHk3;y4)?`15kolP9^=|rs!oK1vHjO>g} zAbEKqotzy_3~V6XSLfg+<;f?vfdGDd0A53y*c$)+&Uf#x-_F4Fz4Cv_2P5+NLHY3M>%?PHyg4Tb;2qwn= zo)LeY-2aRb|9>2tiItI-orwjXiG`M#iRu3`T`>K}{G0W!t^S8={5>17e|zHpzW&eI zXhBWN4v7K2>qu?9mS@2I{SieV-g9gZtTeLeL`YIGLH_0`y>@AnL<6CGR*=Y~^OJkZ z?p+h28GmO^9JfK7MzNhlIM7uR#74k_M4n@rX2+D7L-EzDiXZBtpAxEFi#@nlNRyWT 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z$pJU(>Mofs-y_oO15!er`#JH9A?eY`-ARvJ3Wz;2)#=;4))!Ki$-e4Q>44|xh?m~1 z-9X-|Uf5GPS~El>4k@1Y=Q>5=t6CzPXNP}F{U*@f84mmR^am5LK?GvZ@wme;!_?sb K1qDM34B#Iag%+p) literal 0 HcmV?d00001 diff --git a/TST/Questions_Flash/P4/QF_21_03_15-3.tex b/TST/Questions_Flash/P4/QF_21_03_15-3.tex new file mode 100755 index 0000000..4969758 --- /dev/null +++ b/TST/Questions_Flash/P4/QF_21_03_15-3.tex @@ -0,0 +1,105 @@ +\documentclass[12pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Terminale ST + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + Soit $X\sim \mathcal{B}(5, 0.15)$. Calculer la quantité suivante + \[ + P(X = 0) = + \] + On rappelle le triangle de Pascal + + \begin{tabular}{|*{7}{p{0.8cm}|}} + \hline + n \verb|\| k & 0 & 1 & 2 & 3 & 4 & 5\\ + \hline + 0 & 1 & & & & &\\ + \hline + 1 & 1 & 1 & & & &\\ + \hline + 2 & 1 & 2 & 1 & & &\\ + \hline + 3 & 1 & 3 & 3 & 1 & &\\ + \hline + 4 & 1 & 4 & 6 & 4 & 1 &\\ + \hline + 5 & 1 & 5 & 10 & 10 & 5 & 1\\ + \hline + \end{tabular} +\end{frame} + +\begin{frame}[fragile]{Calcul 2} + 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. + + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + u = ... + S = ... + + # Boucle + for i in range(....): + u = ... + S = ... + + # Résultat final + print(....) + \end{lstlisting} +\end{frame} + +\begin{frame}{Calcul 3} + \noindent + \begin{tabular}{|*{4}{p{2cm}|}c|} + \hline + & Moins de 20ans & entre 20 et 50 ans & Plus de 50ans & Total \\ + \hline + Guéris & 20 & 16 & 30 & 66\\ + \hline + Malade & 24 & 10 & 5 & 39\\ + \hline + Total & 44 & 26 & 35 & 105\\ + \hline + \end{tabular} + + On note + \[ + A = \left\{ \mbox{Malade} \right\} \qquad B = \left\{ \mbox{Plus de 50ans} \right\} \qquad + \] + + \vfill + Calculer $P_B(\overline{A}) = $ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + On note $(u_n)$ la suite arithmétique de raison $r = -1$ et de premier terme $u_0 = 100$. On a déjà calculé $u_{50} = 50$ + + Calculer + \[ + \sum_{n=0}^{50} u_n = + \] + +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}