Suites et fractals pour les sti2d

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Bertrand Benjamin 2018-09-07 17:31:23 +02:00
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\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\title{Modélisation avec des suites}
\tribe{Terminale STI2D}
\date{Septembre 2018}
\renewcommand{\arraystretch}{1}
\begin{document}
\begin{exercise}[subtitle={Carré de pierres}]
\begin{minipage}{0.5\textwidth}
Pierre joue avec des mosaïques de couleur. Il dispose ses mosaïques pour obtenir des « carrés ».
Il voudrait savoir à lavance combien de mosaïques il lui faut pour fabriquer nimporte quel « carré ».
Comment laider ?
\end{minipage}
\begin{minipage}{0.5\textwidth}
\includegraphics[scale=0.5]{./fig/carre_pierres}
\end{minipage}
\end{exercise}
\begin{exercise}[subtitle={Triangle de Sierpinski}]
Chaque jour, Sierpinski se fait manger un morceau de son triangle.
\includegraphics[scale=1]{./fig/Sierpinski_triangle}
Il veut savoir quelle surface de triangle il lui restera après n'importe quel nombre de jour.
Alors?
\end{exercise}
\begin{exercise}[subtitle={Groupe libre}]
Calculer le nombre d'extrémités qu'aura ce graphe après n'importe quel nombre d'itérations.
\includegraphics[scale=1]{./fig/groupe_libre}
\end{exercise}
\begin{exercise}[subtitle={Tapis de Sierpinski encore lui}]
Chaque jour, Sierpinski se fait manger un morceau de son tapis.
\includegraphics[scale=1]{./fig/tapis_sierpinski}
Cette fois-ci il veut savoir le trous qu'il y aura dans son tapis.
\end{exercise}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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