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

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

\begin{document}
\begin{frame}{Questions flashs}
    \begin{center}
        \vfill
        Terminale L-ES
        \vfill
        Un peu moins d'une minute par calcul
        \vfill
        \tiny \jobname
    \end{center}
\end{frame}

\begin{frame}{Calcul 1}
    Calculer la quantité suivante
    \[
        2\times1 + 2\times0.1^2 + 2\times0.1^3 + \ldots + 2\times0.1^{20} =  
    \]
\end{frame}

\begin{frame}{Calcul 2}
    On donne $P(G\cap \overline{E}) = 0.2$ et $P(F\cap \overline{E}) = 0.5$
    \begin{center}
        \begin{tikzpicture}[xscale=2]
            \node {.} 
            child {node {$F$}
                child {node {$E$} 
                    edge from parent
                    node[left] {}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[right] {}
                } 
                edge from parent
                node[left] {0.6}
            }
            child[missing] {}
            child { node {$G$}
                child {node {$E$}
                    edge from parent
                    node[left] {}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[right] {}
                } 
                edge from parent
                node [right] {0.4}
            } ;
        \end{tikzpicture}
    \end{center}
    Calculer $P_G(\overline{E})$
\end{frame}

\begin{frame}{Calcul 2}
    On donne $P(E) = 0.70$ et $P(F\cap E) = 0.1$
    \begin{center}
        \begin{tikzpicture}[xscale=1]
            \node {.} 
            child {node {$F$}
                child {node {$E$} 
                    edge from parent
                    node[left] {}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[right] {}
                } 
                edge from parent
                node[above] {0.5}
            }
            child[missing] {}
            child { node {$H$}
                child {node {$E$}
                    edge from parent
                    node[left] {0.9}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[right] {0.1}
                } 
                edge from parent
                node {0.1}
            }
            child[missing] {}
            child { node {$G$}
                child {node {$E$}
                    edge from parent
                    node[left] {}
                }
                child {node {$\overline{E}$}
                    edge from parent
                    node[right] {}
                } 
                edge from parent
                node[above] {0.4}
            } ;
        \end{tikzpicture}
    \end{center}
    Calculer $P(G\cap E)$
\end{frame}

\begin{frame}{Calcul 4}
    Factoriser l'expression suivante
    \[
        f(x) = 2xe^{-0.4x} - (x+1)e^{-0.4x} + 0.1e^{-0.4x}
    \]
\end{frame}

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


\end{document}
