lafrite/2014-2015
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Import work from year 2014-2015

Browse Source
This commit is contained in:
Benjamin Bertrand
2017-06-16 09:48:07 +03:00
commit 7e5feb002b
1531 changed files with 418856 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

BIN
2nd/Vecteurs/Decouverte_vecteurs/Activite_decouvert/decouverte_vect_scan.pdf Normal file
View File

Binary file not shown.

BIN
2nd/Vecteurs/Decouverte_vecteurs/Activite_decouvert/decouverte_vect_scan.png Normal file
View File

Binary file not shown.
Side by Side

After

Width:  |  Height:  |  Size: 4.7 MiB

BIN
2nd/Vecteurs/Decouverte_vecteurs/Conn/Conn0114.pdf Normal file
View File

Binary file not shown.

77
2nd/Vecteurs/Decouverte_vecteurs/Conn/Conn0114.tex Normal file
View File

@@ -0,0 +1,77 @@
\documentclass{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classConn}
\usepackage{tkz-tab}
% Title Page
\title{}
\author{}
\date{}
\begin{document}
\begin{multicols}{2}
Nom - Prénom - Classe:
\section{Connaissance}
\begin{enumerate}
\item $A$, $B$, $C$ et $D$ sont 4 points.
$\vec{AB} = \vec{CD}$ si et seulement si
\\[3cm]
\item $(AB)$ est \dotfill
\item Écrire en notation mathématique "le vecteur de $A$ à $B$"
\\[0.5cm]
.\dotfill
\\[0.5cm]
\item Completer le tableau de variation suivant
~\\[0.2cm]
\begin{tikzpicture}
\tkzTabInit[lgt=2,espcl=3]{$x$/1,$x^2$/3}
{,,,}
\tkzTabVar{, ,, }
\end{tikzpicture}
\item Faire le calcul suivant (simplifier la fraction quand c'est possible)
\begin{eqnarray*}
A = - 4 + \frac{2}{3} & = &
\end{eqnarray*}
\end{enumerate}
\columnbreak
Nom - Prénom - Classe
\section{Connaissance}
\begin{enumerate}
\item $A$, $B$, $C$ et $D$ sont 4 points.
$\vec{AB} = \vec{CD}$ si et seulement si
\\[3cm]
\item $\vec{AB}$ est \dotfill
\item Écrire en notation mathématique "la droite qui passe par $A$ et $B$"
\\[0.5cm]
.\dotfill
\\[0.5cm]
\item Completer le tableau de variation suivant
~\\[0.2cm]
\begin{tikzpicture}
\tkzTabInit[lgt=2,espcl=3]{$x$/1,$\dfrac{1}{x}$/3}
{,,,}
\tkzTabVar{, ,, }
\end{tikzpicture}
\item Faire le calcul suivant (simplifier la fraction quand c'est possible)
\begin{eqnarray*}
A = \frac{3}{2} - 4 \times \frac{2}{3} & = &
\end{eqnarray*}
\end{enumerate}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
2nd/Vecteurs/Decouverte_vecteurs/Conn/Conn0128.pdf Normal file
View File

Binary file not shown.

67
2nd/Vecteurs/Decouverte_vecteurs/Conn/Conn0128.tex Normal file
View File

@@ -0,0 +1,67 @@
\documentclass{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classConn}
\usepackage{tkz-tab}
% Title Page
\title{}
\author{}
\date{}
\begin{document}
\begin{multicols}{2}
Nom - Prénom - Classe:
\section{Connaissance}
\begin{enumerate}
\item $A$, $B$, $C$ et $D$ sont 4 points.
$\vec{AB} = \vec{CD}$ si et seulement si
\\[2cm]
\item Écrire la relation de Chasles et faire un dessin la décrivant.
\\[2cm]
\item Donner et tracer un vecteur égal à $\vec{u}$, un vecteur opposé à $\vec{v}$.
\begin{center}
\includegraphics[scale=0.8]{./fig/vect1}
\end{center}
\item Développer l'expression suivante
\begin{eqnarray*}
A = 2(3x + 2) & = &
\end{eqnarray*}
\end{enumerate}
\columnbreak
Nom - Prénom - Classe
\section{Connaissance}
\begin{enumerate}
\item $A$, $B$, $C$ et $D$ sont 4 points.
$\vec{AB} = \vec{CD}$ si et seulement si
\\[2cm]
\item Compléter la proposition suivante en l'illustrant d'un dessin.\\
$ABCD$ est un parallelogramme si et seulement si
\\[2cm]
\item Donner et tracer un vecteur égal à $\vec{u}$, un vecteur opposé à $\vec{v}$.
\begin{center}
\includegraphics[scale=0.8]{./fig/vect2}
\end{center}
\item Développer l'expression suivante
\begin{eqnarray*}
A = 3(3x + 1) & = &
\end{eqnarray*}
\end{enumerate}
\end{multicols}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
2nd/Vecteurs/Decouverte_vecteurs/Conn/fig/vect1.pdf Normal file
View File

Binary file not shown.

BIN
2nd/Vecteurs/Decouverte_vecteurs/Conn/fig/vect2.pdf Normal file
View File

Binary file not shown.

15
2nd/Vecteurs/Decouverte_vecteurs/Cours/index.rst Normal file
View File

@@ -0,0 +1,15 @@
Notes sur le cours de découverte des vecteurs
#############################################
:date: 2015-07-01
:modified: 2015-07-01
:tags: Vecteurs,Cours
:category: 2nd
:authors: Benjamin Bertrand
:summary: Pas de résumé, note créée automatiquement parce que je ne l'avais pas bien fait...
`Lien vers vecteurs.pdf <vecteurs.pdf>`_
`Lien vers vecteurs.tex <vecteurs.tex>`_

432
2nd/Vecteurs/Decouverte_vecteurs/Cours/poulies.svg Normal file
View File

@@ -0,0 +1,432 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!-- Created with Inkscape (http://www.inkscape.org/) -->
<svg
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:cc="http://creativecommons.org/ns#"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns="http://www.w3.org/2000/svg"
xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
width="1052.3622"
height="744.09448"
id="svg2"
version="1.1"
inkscape:version="0.48.5 r10040"
sodipodi:docname="Nouveau document 1">
<defs
id="defs4">
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow1Sstart"
style="overflow:visible">
<path
id="path3773"
d="M 0.0,0.0 L 5.0,-5.0 L -12.5,0.0 L 5.0,5.0 L 0.0,0.0 z "
style="fill-rule:evenodd;stroke:#000000;stroke-width:1.0pt"
transform="scale(0.2) translate(6,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0.0"
refX="0.0"
id="Arrow2Lstart"
style="overflow:visible">
<path
id="path3779"
style="fill-rule:evenodd;stroke-width:0.62500000;stroke-linejoin:round"
d="M 8.7185878,4.0337352 L -2.2072895,0.016013256 L 8.7185884,-4.0017078 C 6.9730900,-1.6296469 6.9831476,1.6157441 8.7185878,4.0337352 z "
transform="scale(1.1) translate(1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lstart-1"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3779-8"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lstart-3"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3779-0"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lstart-6"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3779-5"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lstart-7"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3779-4"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="Arrow2Lstart-33"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3779-40"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="marker4347"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path4349"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow2Lstart"
orient="auto"
refY="0"
refX="0"
id="marker4351"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path4353"
style="fill-rule:evenodd;stroke-width:0.625;stroke-linejoin:round"
d="M 8.7185878,4.0337352 -2.2072895,0.01601326 8.7185884,-4.0017078 c -1.7454984,2.3720609 -1.7354408,5.6174519 -6e-7,8.035443 z"
transform="matrix(1.1,0,0,1.1,1.1,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0"
refX="0"
id="Arrow1Sstart-0"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3773-5"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt"
transform="matrix(0.2,0,0,0.2,1.2,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0"
refX="0"
id="Arrow1Sstart-1"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3773-8"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt"
transform="matrix(0.2,0,0,0.2,1.2,0)" />
</marker>
<marker
inkscape:stockid="Arrow1Sstart"
orient="auto"
refY="0"
refX="0"
id="Arrow1Sstart-3"
style="overflow:visible">
<path
inkscape:connector-curvature="0"
id="path3773-53"
d="M 0,0 5,-5 -12.5,0 5,5 0,0 z"
style="fill-rule:evenodd;stroke:#000000;stroke-width:1pt"
transform="matrix(0.2,0,0,0.2,1.2,0)" />
</marker>
</defs>
<sodipodi:namedview
id="base"
pagecolor="#ffffff"
bordercolor="#666666"
borderopacity="1.0"
inkscape:pageopacity="0.0"
inkscape:pageshadow="2"
inkscape:zoom="0.6908268"
inkscape:cx="526.18109"
inkscape:cy="372.04724"
inkscape:document-units="px"
inkscape:current-layer="layer1"
showgrid="false"
inkscape:window-width="1364"
inkscape:window-height="748"
inkscape:window-x="0"
inkscape:window-y="274"
inkscape:window-maximized="0" />
<metadata
id="metadata7">
<rdf:RDF>
<cc:Work
rdf:about="">
<dc:format>image/svg+xml</dc:format>
<dc:type
rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
<dc:title></dc:title>
</cc:Work>
</rdf:RDF>
</metadata>
<g
inkscape:label="Calque 1"
inkscape:groupmode="layer"
id="layer1"
transform="translate(0,-308.2677)">
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 a 23.160654,23.160654 0 1 1 -46.3213,0 23.160654,23.160654 0 1 1 46.3213,0 z"
transform="translate(-1.3418455,308.2677)" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart);fill-opacity:1"
d="m 126.09459,551.10204 0,123.04097"
id="path3755"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart);fill-opacity:1"
d="m 125.9889,807.20952 0,-123.04097"
id="path3755-5"
inkscape:connector-curvature="0" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-3"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 a 23.160654,23.160654 0 1 1 -46.3213,0 23.160654,23.160654 0 1 1 46.3213,0 z"
transform="translate(215.68432,308.2677)" />
<path
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none"
d="m 277.92784,251.9306 c 7.2377,0 75.27212,0 75.27212,0"
id="path4243"
inkscape:connector-curvature="0"
transform="translate(0,308.2677)" />
<g
id="g4877">
<path
sodipodi:open="true"
sodipodi:end="3.1303572"
sodipodi:start="0"
transform="translate(215.68359,308.2677)"
d="m 150.54424,370.62894 a 23.160654,23.160654 0 0 1 -46.31984,0.26021"
sodipodi:ry="23.160654"
sodipodi:rx="23.160654"
sodipodi:cy="370.62894"
sodipodi:cx="127.38359"
id="path3753-2"
style="fill:none;stroke:#ff7c00;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
sodipodi:type="arc" />
<path
transform="translate(0,308.2677)"
inkscape:connector-curvature="0"
id="path4245"
d="m 319.86436,251.75927 0,120.26899"
style="fill:none;stroke:#ff7c00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none" />
<path
inkscape:connector-curvature="0"
id="path4245-8"
d="m 365.92482,510.48255 0,169.81341"
style="fill:none;stroke:#ff7c00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
</g>
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart)"
d="m 320.42898,493.2591 0,68.11643"
id="path3755-55"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart)"
d="m 342.94743,798.40589 0,-123.04097"
id="path3755-8"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart)"
d="m 365.46589,444.30194 0,68.11642"
id="path3755-55-2"
inkscape:connector-curvature="0" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-6"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 a 23.160654,23.160654 0 1 1 -46.3213,0 23.160654,23.160654 0 1 1 46.3213,0 z"
transform="matrix(1.083012,0,0,1.083012,399.57816,305.99199)" />
<path
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="m 471.37322,587.92159 c 8.78224,0 91.33533,0 91.33533,0"
id="path4243-5"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow2Lstart)"
d="m 536.39281,826.12918 0,-123.04097"
id="path3755-8-5"
inkscape:connector-curvature="0" />
<g
id="g4847"
style="stroke:#ff7b00;stroke-opacity:1">
<path
inkscape:connector-curvature="0"
id="path4429"
d="m 568.33326,708.18814 0,-81.88528"
style="fill:none;stroke:#ff7b00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<g
id="g4837"
style="stroke:#ff7b00;stroke-opacity:1">
<path
sodipodi:type="arc"
style="fill:none;stroke:#ff7b00;stroke-width:2.19480348000000003;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-6-0"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 c 0,12.79127 -10.36937,23.16065 -23.16065,23.16065 -12.79128,0 -23.16065,-10.36938 -23.16065,-23.16065 0,-0.10794 7.5e-4,-0.21588 0.002,-0.3238"
transform="matrix(1.366865,0,0,1.366865,362.5596,201.52183)"
sodipodi:start="0"
sodipodi:end="3.1555737"
sodipodi:open="true" />
<g
id="g4814"
style="stroke:#ff7b00;stroke-opacity:1">
<path
inkscape:connector-curvature="0"
id="path4245-8-6"
d="m 562.38193,538.46172 0,169.81342"
style="fill:none;stroke:#ff7b00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<path
inkscape:connector-curvature="0"
id="path4245-5"
d="m 504.98638,587.75026 0,120.26899"
style="fill:none;stroke:#ff7b00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none" />
<g
id="g4809"
style="stroke:#ff7b00;stroke-opacity:1">
<path
sodipodi:type="arc"
style="fill:none;stroke:#ff7b00;stroke-width:2.19480348000000003;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-6-0-4"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 c 0,12.79127 -10.36937,23.16065 -23.16065,23.16065 -12.79128,0 -23.16065,-10.36938 -23.16065,-23.16065 0,-0.10794 7.5e-4,-0.21588 0.002,-0.3238"
transform="matrix(1.2173914,0,0,-1.2173914,385.22602,1077.202)"
sodipodi:start="0"
sodipodi:end="3.1555737"
sodipodi:open="true" />
<path
style="fill:none;stroke:#ff7b00;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none"
d="m 512.27016,625.79108 0,84.1883"
id="path4449"
inkscape:connector-curvature="0" />
<path
sodipodi:type="arc"
style="fill:none;stroke:#ff7b00;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-6-5"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 c 0,12.79127 -10.36937,23.16065 -23.16065,23.16065 -12.79128,0 -23.16065,-10.36938 -23.16065,-23.16065 0,0 0,0 0,0"
transform="matrix(1.083012,0,0,1.083012,399.57816,305.99199)"
sodipodi:start="0"
sodipodi:end="3.1415927"
sodipodi:open="true" />
</g>
</g>
</g>
</g>
<path
sodipodi:type="arc"
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:round;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;stroke-dashoffset:0"
id="path3753-2-6-2"
sodipodi:cx="127.38359"
sodipodi:cy="370.62894"
sodipodi:rx="23.160654"
sodipodi:ry="23.160654"
d="m 150.54424,370.62894 a 23.160654,23.160654 0 1 1 -46.3213,0 23.160654,23.160654 0 1 1 46.3213,0 z"
transform="matrix(0.98170148,0,0,0.98170148,415.42623,261.54741)" />
<path
style="fill:none;stroke:#000000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none"
d="m 539.41925,318.29105 0,-38.8955"
id="path4479"
inkscape:connector-curvature="0"
transform="translate(0,308.2677)" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Sstart)"
d="m 569.75197,659.03222 0,47.66508"
id="path3755-55-2-1"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Sstart)"
d="m 562.00772,491.79384 0,47.66508"
id="path3755-55-2-1-7"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Sstart)"
d="m 512.79134,656.08972 0,47.66508"
id="path3755-55-2-1-76"
inkscape:connector-curvature="0" />
<path
style="fill:none;stroke:#ff0000;stroke-width:3;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-start:url(#Arrow1Sstart)"
d="m 504.46798,656.81349 0,47.66508"
id="path3755-55-2-1-3"
inkscape:connector-curvature="0" />
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 18 KiB

BIN
2nd/Vecteurs/Decouverte_vecteurs/Cours/vecteurs.pdf Normal file
View File

Binary file not shown.

104
2nd/Vecteurs/Decouverte_vecteurs/Cours/vecteurs.tex Normal file
View File

@@ -0,0 +1,104 @@
\documentclass[a4paper,10pt, table]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classCours}
\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
% Title Page
\titre{Découverte des vecteurs}
% \seconde \premiereS \PSTMG \TSTMG
\classe{\seconde}
\date{Janvier 2015}
\begin{document}
\maketitle
\section{Translation et vecteurs}
\begin{Def}
Soit $A$ et $B$ deux points disctincts.
La translation qui amène $A$ sur $B$ est appelée translation de vecteur $\vec{AB}$.
\end{Def}
\begin{Def}
$\vec{AB} = \vec{CD}$ ssi la translation qui amène $A$ sur $B$ est la même que la translation qui amène $C$ sur $D$.
\end{Def}
\begin{Def}
$\vec{AB} = \vec{CD}$ ssi même norme, même direction, même sens.
\end{Def}
\begin{Rmq}
Utilisation des vecteurs en physique:
\begin{itemize}
\item Pour représenter un force
\item Pour représenter la vitesse
\end{itemize}
\end{Rmq}
\begin{Def}
La norme de $\vec{AB}$ est égale à la distance $AB$.
\end{Def}
\section{Opérations et vecteurs}
\begin{Def}
Soit $\vec{u}$ un vecteur.
L'opposé du vecteur $\vec{u}$, noté $-\vec{u}$, est un vecteur qui a
\begin{itemize}
\item la même norme que $\vec{u}$
\item la même direction $\vec{u}$
\item un sens opposé
\end{itemize}
\end{Def}
\begin{Ex}
On place $B$ image de $A$ par $\vec{u}$
On place $D$ image de $C$ par $-\vec{u}$
\end{Ex}
\begin{Def}
Soit $\vec{u}$ et $\vec{v}$ deux vecteurs.
La somme des vecteurs $\vec{u}$ et $\vec{v}$ est le vecteur $\vec{w}$ associé à la transformation de vecteur $\vec{u}$ puis celle de vecteur $\vec{v}$. On note alors
\begin{eqnarray*}
\vec{w} & = & \vec{u} + \vec{v}
\end{eqnarray*}
\end{Def}
\begin{Ex}
On fait deux sommes
\end{Ex}
\begin{Rmq}
En physique pour qu'un objet ne bouge pas, il faut que la somme de toutes les forces soit égale à $\vec{0}$.
\end{Rmq}
\begin{Prop}
Relation de chasles
\end{Prop}
\begin{Prop}
Caractérisation du parallelogramme
\end{Prop}
\begin{Ex}
Démontrer que $\vec{BA} + \vec{DA} = \vec{CA}$
\end{Ex}
\begin{Prop}
Soit $\vec{u}$ un vecteur, $k$ un numbre réel
Alors $k\vec{u}$ est le vecteur $\vec{u}$ répéter $k$ fois
\end{Prop}
\begin{Ex}
$ABC$ un triangle. $\vec{AE} = \frac{1}{2} \vec{AB}$ $\vec{BF} = 2 \vec{CB}$
\end{Ex}
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-master: "master"
%%% End:

BIN
2nd/Vecteurs/Decouverte_vecteurs/Exo/Exo.pdf Normal file
View File

Binary file not shown.