Import work from year 2013-2014
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3e/Geometrie/Trigo/cal_angle/cal_angle.pdf
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3e/Geometrie/Trigo/cal_angle/cal_angle.pdf
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3e/Geometrie/Trigo/cal_angle/cal_angle.tex
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3e/Geometrie/Trigo/cal_angle/cal_angle.tex
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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
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% Title Page
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\title{Trigonométrie - Exercices}
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\author{}
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\date{}
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\fancyhead[L]{Troisième}
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\fancyhead[C]{\Thetitle}
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\fancyhead[R]{\thepage}
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\begin{document}
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\thispagestyle{fancy}
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\begin{center}
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\large{Calculer un angle}
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\end{center}
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\normalsize
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\begin{Exo}
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\textbf{Avec la figure suivante, calculer la mesure de l'angle $\widehat{BAC}$}.
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\\[0.3cm]
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\begin{minipage}[h]{0.15\textwidth}
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\includegraphics[scale=0.15]{./fig/triangleABC}
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\end{minipage}
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\begin{minipage}[h]{0.3\textwidth}
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\textit{Questions à se poser}
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\begin{itemize}
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\item On connait
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\begin{center}
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hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
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\end{center}
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\item On cherche
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\begin{center}
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hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
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\end{center}
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\end{itemize}
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\end{minipage}
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\begin{itemize}
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\item On utilise la formule
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\begin{eqnarray*}
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\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
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\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
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\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
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\end{eqnarray*}
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\end{itemize}
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\textit{Rédaction}
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.\\[0.3cm]
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\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep}{
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.\\[0.3cm]
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\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
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\begin{eqnarray*}
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\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
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\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
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\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \parbox{1cm}{\dotfill} \\[0.3cm]
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\widehat{BAC} &=& \mbox{Arc}\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) = \parbox{1cm}{\dotfill}
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\end{eqnarray*}
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Donc l'angle $\widehat{BAC} = $\parbox{1cm}{\dotfill}°.
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}}
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\end{Exo}
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\vfill\eject
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\begin{Exo}
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En reprenant la rédaction présenté au dessus, faire les exercices suivants.
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\begin{enumerate}
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\item Calculer la mesure de l'angle $\widehat{DEF}$
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\begin{center}
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\includegraphics[scale=0.2]{./fig/triangleDEF}
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\end{center}
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\item Calculer la mesure de l'angle $\widehat{HGI}$
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\begin{center}
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\includegraphics[scale=0.2]{./fig/triangleGHI}
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\end{center}
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\item $JKL$ est un triangle rectangle en $L$ tel que $JK=3cm $ et $JL = 2cm$.
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\begin{enumerate}
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\item Faire une figure à main levée.
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\item Calculer la mesure de l'angle $\widehat{JKL}$.
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\end{enumerate}
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\item $MNO$ est un triangle rectangle en $O$ tel que $OM=3cm $ et $ON = 2cm$.
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\begin{enumerate}
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\item Faire une figure à main levée.
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\item Calculer la mesure de l'angle $\widehat{NMO}$.
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\end{enumerate}
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\item $PQR$ est un triangle rectangle en $P$ tel que $RQ=3cm $ et $QP = 2cm$. Calculer la mesure de l'angle $\widehat{QRP}$.
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\end{enumerate}
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\end{Exo}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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3e/Geometrie/Trigo/cal_angle/fig/triangleABC.pdf
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3e/Geometrie/Trigo/cal_angle/fig/triangleABC.svg
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3e/Geometrie/Trigo/cal_angle/fig/triangleABC.svg
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3e/Geometrie/Trigo/cal_angle/fig/triangleDEF.pdf
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3e/Geometrie/Trigo/cal_angle/fig/triangleRectABC.pdf
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3e/Geometrie/Trigo/cal_angle/index.rst
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Notes sur un fiche d'exercice pour le calcul d'un angle pour les 3e
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###################################################################
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:date: 2014-07-01
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:modified: 2014-07-01
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:tags: Geometrie, Exo
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:category: 3e
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:authors: Benjamin Bertrand
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:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
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`Lien vers cal_angle.tex <cal_angle.tex>`_
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`Lien vers cal_angle.pdf <cal_angle.pdf>`_
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`Lien vers fig/triangleDEF.pdf <fig/triangleDEF.pdf>`_
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`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_
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`Lien vers fig/triangleGHI.pdf <fig/triangleGHI.pdf>`_
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`Lien vers fig/triangleRectABC.pdf <fig/triangleRectABC.pdf>`_
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