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Import work from year 2013-2014

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Benjamin Bertrand
2017-06-16 09:46:40 +03:00
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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{empty}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vfill \eject
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\vspace{1cm}
En reprenant la rédaction des séances précédentes, faire les exercices suivants.
\begin{enumerate}
\item $ABC$ est un triangle rectangle en $B$ tel que $AB=10cm $ et $\widehat{BAC} = 46$°. Calculer la longueur $AC$.
\item $DEF$ est un triangle rectangle en $E$ tel que $DE=10cm $ et $DF = 15cm$° . Calculer la longueur $EF$.
\item 43 p 213 a/
\item 36 p 212 a/
\item 40 p 213
\item 49 p 214
\item 46p 214
\end{enumerate}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classConn}
% Title Page
\title{}
\author{}
\date{}
\begin{document}
\begin{multicols}{2}
Nom - Prénom:
\section{Connaissance}
\begin{enumerate}
\item Compléter avec le nom des éléments
\begin{minipage}[h]{0.2\textwidth}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{minipage}
\begin{minipage}[h]{0.2\textwidth}
Nom de l'angle \parbox{2cm}{\dotfill} \\[0.5cm]
Coté opposé \parbox{2cm}{\dotfill} \\[0.5cm]
Hypothénuse \parbox{2cm}{\dotfill} \\[0.5cm]
\end{minipage}
\item Compléter les formules suivantes \\[0.5cm]
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \\[2cm]
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{enumerate}
\columnbreak
Nom - Prénom
\section{Connaissance}
\begin{enumerate}
\item Compléter avec le nom des éléments
\begin{minipage}[h]{0.2\textwidth}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{minipage}
\begin{minipage}[h]{0.2\textwidth}
Nom de l'angle \parbox{2cm}{\dotfill} \\[0.5cm]
Coté adjacent \parbox{2cm}{\dotfill} \\[0.5cm]
Hypothénuse \parbox{2cm}{\dotfill} \\[0.5cm]
\end{minipage}
\item Compléter les formules suivantes
\begin{eqnarray*}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \\[2cm]
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{enumerate}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{fancy}
\begin{center}
\large{Calculer un angle}
\end{center}
\normalsize
\begin{Exo}
\textbf{Avec la figure suivante, calculer la mesure de l'angle $\widehat{BAC}$}.
\\[0.3cm]
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.15]{./fig/triangleABC}
\end{minipage}
\begin{minipage}[h]{0.3\textwidth}
\textit{Questions à se poser}
\begin{itemize}
\item On connait
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\item On cherche
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\end{itemize}
\end{minipage}
\begin{itemize}
\item On utilise la formule
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{itemize}
\textit{Rédaction}
.\\[0.3cm]
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep}{
.\\[0.3cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \parbox{1cm}{\dotfill} \\[0.3cm]
\widehat{BAC} &=& \mbox{Arc}\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc l'angle $\widehat{BAC} = $\parbox{1cm}{\dotfill}°.
}}
\end{Exo}
\vfill\eject
\begin{Exo}
En reprenant la rédaction présenté au dessus, faire les exercices suivants.
\begin{enumerate}
\item Calculer la mesure de l'angle $\widehat{DEF}$
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{center}
\item Calculer la mesure de l'angle $\widehat{HGI}$
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{center}
\item $JKL$ est un triangle rectangle en $L$ tel que $JK=3cm $ et $JL = 2cm$.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer la mesure de l'angle $\widehat{JKL}$.
\end{enumerate}
\item $MNO$ est un triangle rectangle en $O$ tel que $OM=3cm $ et $ON = 2cm$.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer la mesure de l'angle $\widehat{NMO}$.
\end{enumerate}
\item $PQR$ est un triangle rectangle en $P$ tel que $RQ=3cm $ et $QP = 2cm$. Calculer la mesure de l'angle $\widehat{QRP}$.
\end{enumerate}
\end{Exo}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur un fiche d'exercice pour le calcul d'un angle pour les 3e
###################################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers cal_angle.tex <cal_angle.tex>`_
`Lien vers cal_angle.pdf <cal_angle.pdf>`_
`Lien vers fig/triangleDEF.pdf <fig/triangleDEF.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_
`Lien vers fig/triangleGHI.pdf <fig/triangleGHI.pdf>`_
`Lien vers fig/triangleRectABC.pdf <fig/triangleRectABC.pdf>`_

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\documentclass[a4paper,10pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
% Title Page
\title{Trigonométrie - Exercices}
\author{}
\date{}
\fancyhead[L]{Troisième}
\fancyhead[C]{\Thetitle}
\fancyhead[R]{\thepage}
\begin{document}
\thispagestyle{empty}
\begin{center}
\large{Calculer une longueur}
\end{center}
\normalsize
\begin{Exo}
\begin{enumerate}
\item \textbf{Avec la figure suivante, calculer la longueur $BA$.}
\\[0.3cm]
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.15]{./fig/triangleABC}
\end{minipage}
\begin{minipage}[h]{0.3\textwidth}
\textit{Questions à se poser}
\begin{itemize}
\item On connait
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\item On cherche
\begin{center}
hypoténuse\hspace{0.5cm} opposé \hspace{0.5cm}adjacent \hspace{0.5cm}angle
\end{center}
\end{itemize}
\end{minipage}
\begin{itemize}
\item On utilise la formule
\begin{eqnarray*}
\cos( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.5cm}
\sin( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.5cm}
\tan( \widehat{BAC}) = \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}}
\end{eqnarray*}
\end{itemize}
\textit{Rédaction:}
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep}{
.\\[0.2cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{BAC}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill} &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
BA & = & \parbox{1cm}{\dotfill} \times \parbox{1cm}{\dotfill} = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc $BA = \parbox{1cm}{\dotfill}$
}}
\item \textbf{Calculer la longueur $EF$}
\begin{minipage}[h]{0.15\textwidth}
\includegraphics[scale=0.2]{./fig/triangleDEF}
\end{minipage}
\begin{minipage}[h]{0.35\textwidth}
\textit{Rédaction:}
\noindent\fbox{\parbox{\linewidth-2\fboxrule-2\fboxsep-0.1\textwidth}{
.\\[0.2cm]
\parbox{1cm}{\dotfill} est un triangle rectangle en \parbox{0.5cm}{\dotfill} donc
\begin{eqnarray*}
\parbox{1cm}{\dotfill}(\widehat{EFD}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les lettres)}\\[0.3cm]
\parbox{1cm}{\dotfill}(\parbox{1cm}{\dotfill}) &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
\parbox{1cm}{\dotfill} &=& \frac{\parbox{2cm}{\dotfill}}{\parbox{2cm}{\dotfill}} \hspace{0.7cm} \textit{(avec les chiffres)} \\[0.3cm]
EF & = & \frac{ \parbox{1cm}{\dotfill} }{ \parbox{1cm}{\dotfill}} = \parbox{1cm}{\dotfill}
\end{eqnarray*}
Donc $EF = \parbox{1cm}{\dotfill}$
}}
\end{minipage}
\end{enumerate}
\end{Exo}
\vfill\eject
\begin{Exo}
En reprenant la rédaction présenté au dessus, faire les exercices suivants.
\begin{enumerate}
\item Calculer la longueur $HI$.
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleGHI}
\end{center}
\item Calculer la longueur $LK$. On donne $\widehat{JKL} = 10$°.
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleJKL}
\end{center}
\item $MNO$ est un triangle rectangle en $M$ tel que $OM=3cm$ et $\widehat{OMN} = 60$°.
\begin{enumerate}
\item Faire une figure à main levée.
\item Calculer $NO$.
\end{enumerate}
\item $PQR$ est un triangle rectangle en $P$ tel que $RQ=10cm $ et $\widehat{PRQ} = 98$°. Calculer la longueur $QP$.
\end{enumerate}
\end{Exo}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

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Notes sur le calcul d'un longeur avec les formules trigonométriques pour les 3e
###############################################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers cal_long.pdf <cal_long.pdf>`_
`Lien vers cal_long.tex <cal_long.tex>`_
`Lien vers fig/triangleDEF.pdf <fig/triangleDEF.pdf>`_
`Lien vers fig/triangleJKL.pdf <fig/triangleJKL.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_
`Lien vers fig/triangleGHI.pdf <fig/triangleGHI.pdf>`_
`Lien vers fig/triangleRectABC.pdf <fig/triangleRectABC.pdf>`_

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Notes sur une activité d'introduction aux formules trigo
########################################################
:date: 2014-07-01
:modified: 2014-07-01
:tags: Geometrie, Exo
:category: 3e
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers intro_trigo.pdf <intro_trigo.pdf>`_
`Lien vers intro_trigo.tex <intro_trigo.tex>`_
`Lien vers fig/triangles.pdf <fig/triangles.pdf>`_
`Lien vers fig/triangleABC.pdf <fig/triangleABC.pdf>`_

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\documentclass[a4paper,10pt]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/2013_2014}
% Title Page
\titre{Introduction à la trigonométrie}
% \quatreC \quatreD \troisB \troisPro
\classe{\troisB}
\date{24 mars 2014}
%\fancyhead[L]{<++classes++> : \Thetitle}
\begin{document}
\maketitle
\section{Nom des cotés et des angles}
\begin{minipage}[b]{0.5\textwidth}
Completer la figure suivante avec
\begin{itemize}
\item Le nom de l'ange
\item Hypoténuse
\item Côté opposé
\item Côté adjacent
\end{itemize}
\end{minipage}
\begin{minipage}[c]{0.5\textwidth}
\begin{center}
\includegraphics[scale=0.2]{./fig/triangleABC}
\end{center}
\end{minipage}
\section{Longeurs et angles}
Compléter le tableau suivant en fonction des triangles.
\begin{center}
\begin{tabular}{|c|*{6}{c|}}
\hline
Triangle & Hypoténuse & coté adjacent & coté opposé & angle & $\frac{\mbox{coté adjacent}}{\mbox{Hypoténuse}}$ & $\frac{\mbox{coté opposé}}{\mbox{Hypoténuse}}$ \\
\hline
ABC & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
DEF & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
GHI & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
JKL & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
MNP & ...... = ...... & ...... = ...... & ...... = ...... & ...... = ...... & $\frac{......}{......} = ......$ & $\frac{......}{......} = ......$ \\
\hline
\end{tabular}
\end{center}
\begin{center}
\includegraphics[scale=0.45]{./fig/triangles}
\end{center}
\end{document}
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