\documentclass[12pt]{classPres} \usepackage{tkz-fct} \usepackage{pgfplots} \usetikzlibrary{decorations.markings} \pgfplotsset{compat=1.18} \author{} \title{} \date{} \begin{document} \begin{frame}{Questions flashs} \begin{center} \vfill Première ST \vfill 30 secondes par calcul \vfill \textbf{Calculatrice non 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}