\documentclass[12pt]{classPres}
\usepackage{tkz-fct}

\author{}
\title{}
\date{}

\begin{document}
\begin{frame}{Questions flashs}
    \begin{center}
        \vfill
        Terminale Maths complémentaires
        \vfill
        30 secondes par calcul
        \vfill
        \tiny \jobname
    \end{center}
\end{frame}

\begin{frame}{Calcul 1}
    Résoudre l'inéquation suivante
    \[
        e^{2-3x} \leq 1
    \]
\end{frame}

\begin{frame}{Calcul 2}
    Calculer $P(E)$
    \begin{center}
        \begin{tikzpicture}[xscale=2, grow=right]
            \node {.} 
            child {node {$F$}
                child {node {$E$} 
                    edge from parent
                    node[below] {0.8}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[above] {0.2}
                } 
                edge from parent
                node[below] {0.3}
            }
            child[missing] {}
            child { node {$\overline{F}$}
                child {node {$E$}
                    edge from parent
                    node[below] {0.9}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[above] {0.1}
                } 
                edge from parent
                node[above] {0.7}
            } ;
        \end{tikzpicture}
    \end{center}
\end{frame}

\begin{frame}{Calcul 3}
    Démontrer que 
    \[ F(x) = (2x+1)e^{-0.5x} + 10
    \]
    est une primitive de 
    \[
        f(x) = (-x+1.5)e^{-0.5x}
    \]
\end{frame}

\begin{frame}[fragile]{Calcul 4}
    Déterminer la quantité suivante
    \[
        \lim_{\substack{x \rightarrow 0 \\ <}} \frac{1}{x}= 
    \]
    \begin{center}
    \begin{tikzpicture}[xscale=0.8, yscale=0.5]
        \tkzInit[xmin=-5,xmax=5,xstep=1,
        ymin=-5,ymax=5,ystep=1]
        \tkzGrid
        \tkzAxeXY
        \tkzFct[domain=-5:-0.1,color=red,very thick]%
        {1/ \x};
        \tkzFct[domain=0.1:5,color=red,very thick]%
        {1/ \x};
    \end{tikzpicture}
    \end{center}
\end{frame}

\begin{frame}{Fin}
    \begin{center}
        On retourne son papier.
    \end{center}
\end{frame}


\end{document}
