Feat: début du chapitre sur les polygones réguliers

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Bertrand Benjamin 2021-09-16 09:42:44 +02:00
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y="85.592377">Chacune des cocottes blanches a été obtenue à partir de la grise par une transformation. </tspan><tspan
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\begin{exercise}[subtitle={<++>}, step={1}, origin={<++>}, topics={ Polygones reguliers }, tags={ Géométrie }]
<++>
\end{exercise}
\begin{solution}
<++>
\end{solution}

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Polygones réguliers
###################
:date: 2021-09-16
:modified: 2021-09-16
:authors: Benjamin Bertrand
:tags: Géométrie
:category: Technologique
:summary: Étude des transformations du plan, des polygones réguliers, des pavages et des frises.
Étape 1: Reconnaître les transformations du plan
================================================
.. image:: ./1E_classer_transformations.pdf
:height: 200px
:alt: Reconnaitre les transformations du plan
Étape 2: Construire les polygones réguliers
===========================================
On donne la définition d'un polygone régulier et on demande de tous nous les trouver. On peut espérer qu'ils trouvent le triangle équilatérale et le carré. On les poussera alors à en chercher à 5 ou 6 côtés.
S'ils ne l'on pas fait, on leur montrera que ces polygones peuvent s'inscrire dans un cercle. On les laissera continuer à chercher d'autres polygones.
Si la méthode n'a pas été découverte, on pourra ensuite montrer comment construire les polygones réguliers à partir de l'angle au centre.
Étape 3: Exercices techniques
=============================
On y reverra le théorème de Pythagore ainsi que les outils pour calculer les angles.