Import work from year 2013-2014
This commit is contained in:
Benjamin Bertrand
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21
4e/Geometrie/Triangle_cercle/Bissectrice/index.rst
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21
4e/Geometrie/Triangle_cercle/Bissectrice/index.rst
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|
||||
Notes sur des exercices autour de la bissectrice
|
||||
################################################
|
||||
|
||||
:date: 2014-07-01
|
||||
:modified: 2014-07-01
|
||||
:tags: Geometrie, Exo
|
||||
:category: 4e
|
||||
:authors: Benjamin Bertrand
|
||||
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
|
||||
|
||||
|
||||
|
||||
`Lien vers intro_bissec.pdf <intro_bissec.pdf>`_
|
||||
|
||||
`Lien vers intro_bissec.tex <intro_bissec.tex>`_
|
||||
|
||||
`Lien vers fig/contructionTriangle2.pdf <fig/contructionTriangle2.pdf>`_
|
||||
|
||||
`Lien vers fig/contructionTriangle.pdf <fig/contructionTriangle.pdf>`_
|
||||
|
||||
`Lien vers fig/triangles.pdf <fig/triangles.pdf>`_
|
||||
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4e/Geometrie/Triangle_cercle/Bissectrice/intro_bissec.pdf
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4e/Geometrie/Triangle_cercle/Bissectrice/intro_bissec.pdf
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4e/Geometrie/Triangle_cercle/Bissectrice/intro_bissec.tex
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4e/Geometrie/Triangle_cercle/Bissectrice/intro_bissec.tex
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|
||||
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
|
||||
|
||||
% Title Page
|
||||
\title{Bissectrice d'un angle - Exercices}
|
||||
\author{}
|
||||
\date{}
|
||||
|
||||
\fancyhead[L]{Quatrième}
|
||||
\fancyhead[C]{\Thetitle}
|
||||
\fancyhead[R]{\thepage}
|
||||
|
||||
|
||||
\begin{document}
|
||||
\thispagestyle{fancy}
|
||||
|
||||
\begin{Exo}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Tracer les triangles suivants en respectant les distances et les mesures.
|
||||
\begin{itemize}
|
||||
\item Triangle $ABC$ tel que $AB = 4cm$, $BC = 6cm$ et $CA = 3cm$.
|
||||
\item Triangle $DEF$ tel que $EF = 5cm$, $FG = 3cm$ et $GE = 7cm$
|
||||
\item Triangle $GHI$ tel que $GH = 2cm$, $HI = 10cm$ et $IG = 9cm$.
|
||||
\item Triangle $JKL$ tel que $JK = 6cm$, $KL = 7cm$ et $\widehat{JKL} = 40^{\circ}$.
|
||||
\item Triangle $NMO$ tel que $NM = 5cm$, $MO = 9cm$ et $\widehat{OMN} = 45^{\circ}$.
|
||||
\item Triangle $PQR$ tel que $PQ = 6cm$, $RP = 6cm$ et $\widehat{PQR} = 60^{\circ}$.
|
||||
\end{itemize}
|
||||
\item Sur chaque figure, marquer les angles suivants et mesurez les.
|
||||
\begin{eqnarray*}
|
||||
\widehat{ABC} = \parbox{1cm}{\dotfill} &\hspace{1cm}& \widehat{EFD} = \parbox{1cm}{\dotfill} \\
|
||||
\widehat{IGH} = \parbox{1cm}{\dotfill} &\hspace{1cm}& \widehat{LJK} = \parbox{1cm}{\dotfill} \\
|
||||
\widehat{NMO} = \parbox{1cm}{\dotfill} &\hspace{1cm}&a\widehat{RPQ} = \parbox{1cm}{\dotfill}
|
||||
\end{eqnarray*}
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
\begin{enumerate}
|
||||
\item Sur les triangles ci-contre, tracer la bissectrice des angles suivants.
|
||||
\begin{eqnarray*}
|
||||
\widehat{ABC} \qquad
|
||||
\widehat{DFE} \qquad
|
||||
\widehat{IGH} \qquad
|
||||
\widehat{LJK} \qquad
|
||||
\widehat{MNO} \qquad
|
||||
\end{eqnarray*}
|
||||
\item Tracer la bissectrice de tous les angles du triangle $GHI$. Que remarque-t-on?
|
||||
\\[0.5cm]
|
||||
.\dotfill
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\begin{Exo}
|
||||
\begin{enumerate}
|
||||
\item Tracer le triangle $XYZ$ tel que $XY = 10cm$, $YZ = 11cm$ et $ZX = 12cm$.
|
||||
\item Tracer les bissectrices de tous les angles de ce triangle.
|
||||
\item Tracer le cercle de centre le point d'intersection des bissectrices et qui ne touche que 3 fois les bords du triangle $XYZ$.
|
||||
\end{enumerate}
|
||||
\end{Exo}
|
||||
|
||||
\eject
|
||||
|
||||
\begin{center}
|
||||
\includegraphics[scale=0.6]{./fig/triangles}
|
||||
\end{center}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
4e/Geometrie/Triangle_cercle/Conn/Conn1202.pdf
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BIN
4e/Geometrie/Triangle_cercle/Conn/Conn1202.pdf
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55
4e/Geometrie/Triangle_cercle/Conn/Conn1202.tex
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55
4e/Geometrie/Triangle_cercle/Conn/Conn1202.tex
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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 Pour \textbf{comparer} des fractions, il faut
|
||||
|
||||
\vspace{0.5cm}
|
||||
. \dotfill .
|
||||
\vspace{0.5cm}
|
||||
|
||||
\item Écrire le théorème qui permet de démontrer que le triangle suivant est rectangle (on précisera l'angle droit).
|
||||
\begin{center}
|
||||
\includegraphics[scale=1]{./fig/cercle2rect.png}
|
||||
\end{center}
|
||||
\end{enumerate}
|
||||
|
||||
|
||||
\columnbreak
|
||||
Nom - Prénom
|
||||
\section{Connaissance}
|
||||
|
||||
\begin{enumerate}
|
||||
\item Pour \textbf{additionner} des fractions, il faut
|
||||
|
||||
\vspace{0.5cm}
|
||||
. \dotfill .
|
||||
\vspace{0.5cm}
|
||||
|
||||
\item Sur le dessin suivant quels longeurs sont égales? Écrire le théorème qui permet d'obtenir ces égalités.
|
||||
\begin{center}
|
||||
\includegraphics[scale=1]{./fig/rect_mediane.png}
|
||||
\end{center}
|
||||
\end{enumerate}
|
||||
|
||||
|
||||
\end{multicols}
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
BIN
4e/Geometrie/Triangle_cercle/Conn/fig/cercle2rect.ggb
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4e/Geometrie/Triangle_cercle/Conn/fig/cercle2rect.ggb
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BIN
4e/Geometrie/Triangle_cercle/Conn/fig/cercle2rect.png
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4e/Geometrie/Triangle_cercle/Conn/fig/cercle2rect.png
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|
After Width: | Height: | Size: 43 KiB |
BIN
4e/Geometrie/Triangle_cercle/Conn/fig/rect_mediane.png
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4e/Geometrie/Triangle_cercle/Conn/fig/rect_mediane.png
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|
After Width: | Height: | Size: 19 KiB |
Reference in New Issue
Block a user