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+\tribe{Troisième} +\date{Décembre 2017} + +\geometry{left=10mm,right=10mm, top=10mm} +\pagestyle{empty} + +\begin{document} + +\begin{exercise}[subtitle={Toujours le même resultat \Cal \Rai}] + Voici 2 programmes de cacluls. + + \hspace{-1cm} + \Ovalbox{% + \begin{minipage}{0.5\textwidth} + \hspace{1cm}\textbf{Programme A} + \begin{itemize} + \item Choisir un nombre + \item Multiplier par 4 + \item Soustraire 1 + \item Ajouter le nombre de départ + \item Soustraire 2 + \end{itemize} + \end{minipage} + } + \Ovalbox{% + \begin{minipage}{0.5\textwidth} + \hspace{1cm} \textbf{Programme B} + \begin{itemize} + \item Choisir un nombre + \item Multiplier par 5 + \item Enlever 3 + \end{itemize} + \end{minipage} + } + \begin{enumerate} + \item Executer ces 2 programmes avec 4 nombres différents. + \item Abdou pense + \begin{center} + \textit{Ces 2 programmes donnent toujours le même résultat.} + \end{center} + Qu'en pensez vous? + \end{enumerate} +\end{exercise} + +\newcommand{\lesexos}{% +} + +\begin{exercise}[subtitle={Encore identique \Cal \Rai}] + \hspace{-1cm} + \Ovalbox{% + \begin{minipage}{0.5\textwidth} + \hspace{1cm}\textbf{Programme de calcul} + \begin{itemize} + \item Choisir un nombre + \item Multiplier par 2 + \item Ajouter 3 + \item Multiplier par 5 + \item Enlever 10 fois le nombre de départ + \end{itemize} + \end{minipage} + } + \begin{minipage}{0.5\textwidth} + \begin{enumerate} + \item Executer ce programme avec 4 nombres différents et faire une conjecture. + \item Démontrer votre conjecture. + \end{enumerate} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Que de coïncidences \Cal \Rai}] + Voici 2 programmes de calculs. + + \hspace{-1cm} + \Ovalbox{% + \begin{minipage}{0.5\textwidth} + \hspace{1cm}\textbf{Programme A} + \begin{itemize} + \item Choisir un nombre + \item Soustraire 1 + \item Multiplier par 4 + \item Ajouter le nombre de départ + \item Soustraire 2 + \end{itemize} + \end{minipage} + } + \hfill + \Ovalbox{% + \begin{minipage}{0.5\textwidth} + \hspace{1cm} \textbf{Programme B} + \begin{itemize} + \item Choisir un nombre + \item Soustraire 5 + \item Multiplier par 2 + \item Ajouter 3 fois le nombre de départ + \end{itemize} + \end{minipage} + } + \hspace{1cm} + + \begin{enumerate} + \item Executer ces 2 programmes avec 4 nombres différents. + \item Quelle conjecture peut-on faire? + \item Prouver la conjecture. + \end{enumerate} +\end{exercise} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: