From 03794c0a5f48adc4731474af3dd2006c458d6b8c Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Fri, 5 Mar 2021 15:26:09 +0100 Subject: [PATCH] Feat: QF TST pour S10 --- TST/Questions_Flash/P4/QF_21_03_08-1.pdf | Bin 0 -> 63925 bytes TST/Questions_Flash/P4/QF_21_03_08-1.tex | 102 +++++++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_08-2.pdf | Bin 0 -> 64612 bytes TST/Questions_Flash/P4/QF_21_03_08-2.tex | 102 +++++++++++++++++++++++ TST/Questions_Flash/P4/QF_21_03_08-3.pdf | Bin 0 -> 64700 bytes TST/Questions_Flash/P4/QF_21_03_08-3.tex | 102 +++++++++++++++++++++++ 6 files changed, 306 insertions(+) create mode 100644 TST/Questions_Flash/P4/QF_21_03_08-1.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_08-1.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_08-2.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_08-2.tex create mode 100644 TST/Questions_Flash/P4/QF_21_03_08-3.pdf create mode 100755 TST/Questions_Flash/P4/QF_21_03_08-3.tex diff --git 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secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + Soit $X\sim \mathcal{B}(4, 0.9)$. Calculer la quantité suivante + \[ + P(X = 2) = + \] + 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 0.4 et de premier terme 10. On veut déterminer la plus petite valeur de $n$ telle que $u_n$ est strictement inférieur à 2. + + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + n = 1 + u = ... + + # Boucle + while .......: + n = n + 1 + u = .... + + # Résultat final + print(n) + print(u) + \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(\overline{B}) = $ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + On note $(u_n)$ la suite arithmétique de raison $r = 0.5$ et de premier terme $u_0 = 100$. + + Exprimer $u_n$ en fonction de $n$. +\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_08-3.pdf b/TST/Questions_Flash/P4/QF_21_03_08-3.pdf new file mode 100644 index 0000000000000000000000000000000000000000..6df1d8895e4e1ad25f34b636e5ec859709e25e42 GIT binary patch literal 64700 zcmce+1B_@*);8LQdN6r zuT-t|EIg$0!lJZ{bgWRMvx`G3P>c)&3T-sbCPvOs^hz#< z&VQQ`wR5zAq8Ajjb0^UHYd<5y-?|PI{a-78dy5f@UdF)L(c;ez#y>m$tpD}=vqRCu z$m$i#_&@vkXGD0*oVTQg^K0!CJXzqdc1v9NYFaU`G@wKi}z5jHWhGd6+Z<%M!` zb~G`tfpTA4fS;D9nBD;b0RIHMfikf*{`<`0$o%Ka|0N+<{$oP0{`Z7n`;Q61 z{@)XV<3A+?(|_+eG5yD`6VqR3{NK?DroRsTKcd)7oc}c;nEx_b{}CaWnf`l1{B?8x zGeZ3TQEX;5COQsgRsv>LIu>T;|4X=F{*UQ5+h0fh57qcP8gcy5#Q$mk-)OX?CS`}r zh|qnkHd*&$(EZ~HRUpB0Vjt{hWb>(zq++7{?Q=%m?=4ad#EN-AVw0{fo*BCjO~@94 z-34*HMsZrj4pQMjS4j{X0S{7n&K25SQx;CeH?wMf=*s~r=ngH8;8Gz?I{tSELh8>z z=?pMgd;tsUY^VGXNW9EPbLb*s3k(K{_}IRFc>NSwkOJ-Ggkhftq_KQBT`PH#(0Qf? 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Calculer la quantité suivante + \[ + P(X = 4) = + \] + 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 5 et de premier terme 1. On veut déterminer la plus petite valeur de $n$ telle que $u_n$ est strictement supérieur à 100. + + \begin{lstlisting}[language=Python, basicstyle=\small, frame=] + # Initialisation + n = 1 + u = ... + + # Boucle + while .......: + n = n + 1 + u = .... + + # Résultat final + print(n) + print(u) + \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(\overline{A} \cap B) = $ + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + On note $(u_n)$ la suite géométrique de raison $r = 0.5$ et de premier terme $u_0 = 100$. + + Exprimer la relation de récurrence de $u_n$. +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}