2022-2023/1ST/Questions_flashs/P5/QF_S20-2.tex

\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 diminue de 20\% tous les ans. 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}