Import work from year 2013-2014
This commit is contained in:
Benjamin Bertrand
BIN
4e/Geometrie/Thales/activite_decouverte/act_dec.pdf
Normal file
BIN
4e/Geometrie/Thales/activite_decouverte/act_dec.pdf
Normal file
Binary file not shown.
143
4e/Geometrie/Thales/activite_decouverte/act_dec.tex
Normal file
143
4e/Geometrie/Thales/activite_decouverte/act_dec.tex
Normal file
@@ -0,0 +1,143 @@
|
||||
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
|
||||
\usepackage{tikz}
|
||||
\usetikzlibrary{calc}
|
||||
|
||||
% Title Page
|
||||
\title{Thalès - Travail de groupe}
|
||||
\author{}
|
||||
\date{}
|
||||
|
||||
\fancyhead[L]{Quatrième}
|
||||
\fancyhead[C]{\Thetitle}
|
||||
\fancyhead[R]{\thepage}
|
||||
|
||||
|
||||
\begin{document}
|
||||
\thispagestyle{fancy}
|
||||
|
||||
Dans tous les dessins suivants, $ABC$ et $AMN$ sont deux triangles tels que $M$ est un point de $[AB]$, $N$ un point de $[AC]$ et $(MN)//(BC)$. Dans chacunes des figures, les longueurs de quatres côtés sont données. (Les mesures sur les dessins ne sont pas respectées)
|
||||
|
||||
\textbf{Conjecturer les valeurs des longueurs des deux cotés manquants pour remplir les tableaux des longueurs.} Justifier quand c'est possible les valeurs trouvées.
|
||||
|
||||
\begin{itemize}
|
||||
\item \textbf{Cas 1}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6,4);
|
||||
\coordinate (N) at (3,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
\draw[<->] ($(A)+(0,-0.5)$) -- ($(B) + (0,-0.5)$) node [midway, below] {$8$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = & AN = & MN = \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = & AC = & BC = \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item \textbf{Cas 2}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (2.3,0);
|
||||
\coordinate (B) at (9.2,0);
|
||||
\coordinate (C) at (8,4);
|
||||
\coordinate (N) at (2,1);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$1$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
\draw[<->] ($(A)+(0,-0.5)$) -- ($(B) + (0,-0.5)$) node [midway, below] {4};
|
||||
\draw (A) --++ (2.3,0) --++ (2.3,0) node {$|$} --++ (2.3,0) node {$|$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = & AN = & MN = \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = & AC = & BC = \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item \textbf{Cas 3}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6.8,4);
|
||||
\coordinate (N) at (3.4,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {4.4};
|
||||
\draw[<->] ($(A)+(-0.5,+0.5)$) -- ($(C) + (0,+0.75)$) node [midway, above, sloped] {$10$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = & AN = & MN = \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = & AC = & BC = \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item \textbf{Cas 4}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6,4);
|
||||
\coordinate (N) at (3,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$} node [midway, right] {15}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = & AN = & MN = \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = & AC = & BC = \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{itemize}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
BIN
4e/Geometrie/Thales/activite_decouverte/act_dec_corr.pdf
Normal file
BIN
4e/Geometrie/Thales/activite_decouverte/act_dec_corr.pdf
Normal file
Binary file not shown.
146
4e/Geometrie/Thales/activite_decouverte/act_dec_corr.tex
Normal file
146
4e/Geometrie/Thales/activite_decouverte/act_dec_corr.tex
Normal file
@@ -0,0 +1,146 @@
|
||||
\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/Archive/2013-2014/tools/style/classExo}
|
||||
\usepackage{tikz}
|
||||
\usetikzlibrary{calc}
|
||||
|
||||
% Title Page
|
||||
\title{Thalès - Travail de groupe}
|
||||
\author{}
|
||||
\date{}
|
||||
|
||||
\fancyhead[L]{Quatrième}
|
||||
\fancyhead[C]{\Thetitle}
|
||||
\fancyhead[R]{\thepage}
|
||||
|
||||
|
||||
\begin{document}
|
||||
\thispagestyle{fancy}
|
||||
|
||||
Dans tous les dessins suivants, $ABC$ et $AMN$ sont deux triangles tels que $M$ est un point de $[AB]$, $N$ un point de $[AC]$ et $(MN)//(BC)$. Dans chacunes des figures, les longueurs de quatres côtés sont données. (Les mesures sur les dessins ne sont pas respectées)
|
||||
|
||||
\textbf{Conjecturer les valeurs des longueurs des deux cotés manquants pour remplir les tableaux des longueurs.} Justifier quand c'est possible les valeurs trouvées.
|
||||
|
||||
\begin{itemize}
|
||||
\item \textbf{Cas 1}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6,4);
|
||||
\coordinate (N) at (3,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
\draw[<->] ($(A)+(0,-0.5)$) -- ($(B) + (0,-0.5)$) node [midway, below] {$8$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = \color{blue}{4} & AN = \color{blue}{5} & MN = \color{blue}{3} \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = \color{blue}{8} & AC = \color{red}{10} & BC = \color{red}{6} \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item \textbf{Cas 2}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (2.3,0);
|
||||
\coordinate (B) at (9.2,0);
|
||||
\coordinate (C) at (8,4);
|
||||
\coordinate (N) at (2,1);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$1$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
\draw[<->] ($(A)+(0,-0.5)$) -- ($(B) + (0,-0.5)$) node [midway, below] {4};
|
||||
\draw (A) --++ (2.3,0) --++ (2.3,0) node {$|$} --++ (2.3,0) node {$|$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = \color{blue}{1} & AN = \color{blue}{5} & MN = \color{blue}{3} \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = \color{blue}{4} & AC = \color{red}{20} & BC = \color{red}{12} \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
|
||||
\item \textbf{Cas 3}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6.8,4);
|
||||
\coordinate (N) at (3.4,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {4.4};
|
||||
\draw[<->] ($(A)+(-0.5,+0.5)$) -- ($(C) + (0,+0.75)$) node [midway, above, sloped] {$15$};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = \color{blue}{4} & AN = \color{blue}{5} & MN = \color{blue}{4.4} \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = \color{red}{12} & AC = \color{blue}{15} & BC = \color{red}{13.2} \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\item \textbf{Cas 4}
|
||||
|
||||
\begin{tikzpicture}
|
||||
\coordinate (A) at (0,0);
|
||||
\coordinate (M) at (3,0);
|
||||
\coordinate (B) at (6,0);
|
||||
\coordinate (C) at (6,4);
|
||||
\coordinate (N) at (3,2);
|
||||
|
||||
\draw (A) node [left] {$A$}
|
||||
-- (M) node [below] {$M$} node[midway, below] {$4$}
|
||||
-- (B) node [right] {$B$}
|
||||
-- (C) node [right] {$C$} node [midway, right] {15}
|
||||
-- (N) node [above] {$N$}
|
||||
-- (A) node [midway, sloped, above] {5};
|
||||
|
||||
\draw (N) -- (M) node[midway, right] {3};
|
||||
|
||||
\end{tikzpicture}
|
||||
|
||||
\begin{tabular}{|c|*{3}{p{2cm}|}}
|
||||
\hline
|
||||
Triangle $AMN$ & AM = \color{blue}{4} & AN = \color{blue}{5} & MN = \color{blue}{3} \\
|
||||
\hline
|
||||
Triangle $ABC$ & AB = \color{red}{12} & AC = \color{red}{15} & BC = \color{blue}{15} \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
|
||||
\end{itemize}
|
||||
|
||||
\end{document}
|
||||
|
||||
%%% Local Variables:
|
||||
%%% mode: latex
|
||||
%%% TeX-master: "master"
|
||||
%%% End:
|
||||
|
||||
19
4e/Geometrie/Thales/activite_decouverte/index.rst
Normal file
19
4e/Geometrie/Thales/activite_decouverte/index.rst
Normal file
@@ -0,0 +1,19 @@
|
||||
Notes sur une activité decouverte du théorème de Thales
|
||||
#######################################################
|
||||
|
||||
: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 act_dec_corr.tex <act_dec_corr.tex>`_
|
||||
|
||||
`Lien vers act_dec.tex <act_dec.tex>`_
|
||||
|
||||
`Lien vers act_dec_corr.pdf <act_dec_corr.pdf>`_
|
||||
|
||||
`Lien vers act_dec.pdf <act_dec.pdf>`_
|
||||
Reference in New Issue
Block a user