Feat(1ST): QF pour S20
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1ST/Questions_flashs/P5/QF_S20-1.pdf
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1ST/Questions_flashs/P5/QF_S20-1.pdf
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1ST/Questions_flashs/P5/QF_S20-1.tex
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1ST/Questions_flashs/P5/QF_S20-1.tex
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\documentclass[12pt]{classPres}
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\usepackage{tkz-fct}
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\usepackage{pgfplots}
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\usetikzlibrary{decorations.markings}
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\pgfplotsset{compat=1.18}
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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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Première ST
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\vfill
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30 secondes par calcul
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\vfill
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\textbf{Calculatrice non autorisée}
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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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% Suite
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Un prix augmente de 5\euro tous les ans. En 2010, il était de 10\euro.
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On appelle $u_n$ la suite qui modélise ce prix.
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Quelle est la nature de la suite $(u_n)$, préciser ses paramètres.
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\end{frame}
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\begin{frame}{Calcul 2}
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% Opération ensembles
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\begin{tabular}{|*{4}{c|}}
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\hline
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Section/regime & Interne & Externe & Total \\
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\hline
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1ST & 10 & 15 & 25 \\
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\hline
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1G & 14 & 17 & 31 \\
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\hline
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Total & 24 & 32 & 56 \\
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\hline
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\end{tabular}
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\vfill
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On note :
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\begin{itemize}
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\item S = "l'élève est en 1ST"
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\item I = "l'élève est interne"
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\end{itemize}
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\vfill
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Calculer la quantité $P_I(S)$
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\vfill
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\end{frame}
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\begin{frame}[fragile]{Calcul 3}
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% Variations
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On donne la fonction et sa dérivée
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\[
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f(x) = -6x^2 - 2x - 1 \qquad \qquad f'(x) = -12x -2
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\]
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Compléter le tableau de signes et de variations suivant
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\begin{center}
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\begin{tikzpicture}
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\tkzTabInit[lgt=3,espcl=7]{$x$/1,Signe de $f'(x)$/2, Variations de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}%
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\tkzTabLine{,,}%
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\tkzTabVar{,}%
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\end{tikzpicture}
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\end{center}
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\end{frame}
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\begin{frame}[fragile]{Calcul 4}
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% probabilité
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Calculer la probabilité $P(CC\overline{C})$
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\begin{center}
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\begin{tikzpicture}[grow=down, sloped, scale=1]
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\tikzset{level 1/.style={sibling distance=6cm}}
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\tikzset{level 2/.style={sibling distance=3cm}}
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\tikzset{level 3/.style={sibling distance=1.5cm}}
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\node {.}
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child {node {C}
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child {node {C}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child { node {$\overline{C}$}
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child {node {C}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}%
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;
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\end{tikzpicture}
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\end{center}
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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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BIN
1ST/Questions_flashs/P5/QF_S20-2.pdf
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BIN
1ST/Questions_flashs/P5/QF_S20-2.pdf
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1ST/Questions_flashs/P5/QF_S20-2.tex
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155
1ST/Questions_flashs/P5/QF_S20-2.tex
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@ -0,0 +1,155 @@
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\documentclass[12pt]{classPres}
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\usepackage{tkz-fct}
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\usepackage{pgfplots}
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\usetikzlibrary{decorations.markings}
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\pgfplotsset{compat=1.18}
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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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Première ST
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\vfill
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30 secondes par calcul
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\vfill
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\textbf{Calculatrice non autorisée}
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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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% Suite
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Un prix diminue de 20\% tous les ans. En 2022, il était de 55\euro.
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\vfill
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On appelle $u_n$ la suite qui modélise ce prix.
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\vfill
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Quelle est la nature de la suite $(u_n)$, préciser ses paramètres.
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\vfill
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\end{frame}
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\begin{frame}{Calcul 2}
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% Opération ensembles
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\begin{tabular}{|*{4}{c|}}
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\hline
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Section/regime & Interne & Externe & Total \\
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\hline
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1ST & 10 & 15 & 25 \\
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\hline
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1G & 14 & 17 & 31 \\
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\hline
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Total & 24 & 32 & 56 \\
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\hline
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\end{tabular}
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\vfill
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On note :
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\begin{itemize}
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\item S = "l'élève est en 1ST"
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\item I = "l'élève est interne"
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\end{itemize}
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\vfill
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Calculer la quantité $P(\overline{I} \cap S)$
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\vfill
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\end{frame}
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\begin{frame}[fragile]{Calcul 3}
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% Variations
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On donne la fonction et sa dérivée
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\[
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f(x) = - 2x - 1 \qquad \qquad f'(x) = -2
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\]
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Compléter le tableau de signes et de variations suivant
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\begin{center}
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\begin{tikzpicture}
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\tkzTabInit[lgt=3,espcl=7]{$x$/1,Signe de $f'(x)$/2, Variations de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}%
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\tkzTabLine{,,}%
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\tkzTabVar{,}%
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\end{tikzpicture}
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\end{center}
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\end{frame}
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\begin{frame}[fragile]{Calcul 4}
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% probabilitéz
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Calculer la probabilité $P(\mbox{avoir exactement 2} C)$
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\begin{center}
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\begin{tikzpicture}[grow=down, sloped, scale=1]
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\tikzset{level 1/.style={sibling distance=6cm}}
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\tikzset{level 2/.style={sibling distance=3cm}}
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\tikzset{level 3/.style={sibling distance=1.5cm}}
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\node {.}
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child {node {C}
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child {node {C}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child { node {$\overline{C}$}
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child {node {C}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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child {node {C}
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edge from parent
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node[above] {0.6}
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}
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child {node {$\overline{C}$}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}
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edge from parent
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node[above] {0.4}
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}%
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;
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\end{tikzpicture}
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\end{center}
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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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