78 lines
2.6 KiB
TeX
78 lines
2.6 KiB
TeX
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
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% Title Page
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\title{Bissectrice d'un angle - Exercices}
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\author{}
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\date{}
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\fancyhead[L]{Quatrième}
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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{Exo}
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\begin{enumerate}
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\item Tracer les triangles suivants en respectant les distances et les mesures.
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\begin{itemize}
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\item Triangle $ABC$ tel que $AB = 4cm$, $BC = 6cm$ et $CA = 3cm$.
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\item Triangle $DEF$ tel que $EF = 5cm$, $FG = 3cm$ et $GE = 7cm$
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\item Triangle $GHI$ tel que $GH = 2cm$, $HI = 10cm$ et $IG = 9cm$.
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\item Triangle $JKL$ tel que $JK = 6cm$, $KL = 7cm$ et $\widehat{JKL} = 40^{\circ}$.
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\item Triangle $NMO$ tel que $NM = 5cm$, $MO = 9cm$ et $\widehat{OMN} = 45^{\circ}$.
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\item Triangle $PQR$ tel que $PQ = 6cm$, $RP = 6cm$ et $\widehat{PQR} = 60^{\circ}$.
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\end{itemize}
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\item Sur chaque figure, marquer les angles suivants et mesurez les.
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\begin{eqnarray*}
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\widehat{ABC} = \parbox{1cm}{\dotfill} &\hspace{1cm}& \widehat{EFD} = \parbox{1cm}{\dotfill} \\
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\widehat{IGH} = \parbox{1cm}{\dotfill} &\hspace{1cm}& \widehat{LJK} = \parbox{1cm}{\dotfill} \\
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\widehat{NMO} = \parbox{1cm}{\dotfill} &\hspace{1cm}&a\widehat{RPQ} = \parbox{1cm}{\dotfill}
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\end{eqnarray*}
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\end{enumerate}
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\end{Exo}
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\begin{Exo}
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\begin{enumerate}
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\item Sur les triangles ci-contre, tracer la bissectrice des angles suivants.
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\begin{eqnarray*}
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\widehat{ABC} \qquad
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\widehat{DFE} \qquad
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\widehat{IGH} \qquad
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\widehat{LJK} \qquad
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\widehat{MNO} \qquad
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\end{eqnarray*}
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\item Tracer la bissectrice de tous les angles du triangle $GHI$. Que remarque-t-on?
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\\[0.5cm]
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.\dotfill
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\end{enumerate}
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\end{Exo}
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\begin{Exo}
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\begin{enumerate}
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\item Tracer le triangle $XYZ$ tel que $XY = 10cm$, $YZ = 11cm$ et $ZX = 12cm$.
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\item Tracer les bissectrices de tous les angles de ce triangle.
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\item Tracer le cercle de centre le point d'intersection des bissectrices et qui ne touche que 3 fois les bords du triangle $XYZ$.
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\end{enumerate}
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\end{Exo}
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\eject
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\begin{center}
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\includegraphics[scale=0.6]{./fig/triangles}
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\end{center}
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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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