cours de vendredi
authorDenise sur Lya <sekhmet@lya>
Thu, 7 Apr 2016 20:17:02 +0000 (22:17 +0200)
committerDenise sur Lya <sekhmet@lya>
Thu, 7 Apr 2016 20:17:02 +0000 (22:17 +0200)
24 files changed:
1ere/calcul_mental/derivee3.pdf [new file with mode: 0644]
1ere/calcul_mental/derivee3.tex [new file with mode: 0644]
1ere/calcul_mental/modele.tex [new file with mode: 0644]
1ere/chapitre7_suites/act1.png [new file with mode: 0644]
1ere/chapitre7_suites/act2.png [new file with mode: 0644]
1ere/chapitre7_suites/act2a.png [new file with mode: 0644]
1ere/chapitre7_suites/act2b.png [new file with mode: 0644]
1ere/chapitre7_suites/act3.png [new file with mode: 0644]
1ere/chapitre7_suites/activite.pdf [new file with mode: 0644]
1ere/chapitre7_suites/activite.tex [new file with mode: 0644]
1ere/chapitre7_suites/chap7.pdf [new file with mode: 0644]
1ere/chapitre7_suites/chap7.tex [new file with mode: 0644]
1ere/chapitre7_suites/fondgraphique.pdf [new file with mode: 0644]
1ere/chapitre7_suites/fondgraphiue.svg [new file with mode: 0644]
2nde/AP/droitesplan.ggb [new file with mode: 0644]
2nde/AP/droitesplan.pdf [new file with mode: 0644]
2nde/AP/droitesplan.tex [new file with mode: 0644]
2nde/AP/droitesplan_graphe.pdf [new file with mode: 0644]
2nde/AP/droitesplan_graphevide.pdf [new file with mode: 0644]
2nde/calcul_mental/modele.tex
2nde/calcul_mental/stats2.pdf [new file with mode: 0644]
2nde/calcul_mental/stats2.tex [new file with mode: 0644]
2nde/calcul_mental/tableauxsigne.tex.save [new file with mode: 0644]
2nde/calcul_mental/tableauxsigne.tex.save.1 [new file with mode: 0644]

diff --git a/1ere/calcul_mental/derivee3.pdf b/1ere/calcul_mental/derivee3.pdf
new file mode 100644 (file)
index 0000000..89b7c51
Binary files /dev/null and b/1ere/calcul_mental/derivee3.pdf differ
diff --git a/1ere/calcul_mental/derivee3.tex b/1ere/calcul_mental/derivee3.tex
new file mode 100644 (file)
index 0000000..d2657a7
--- /dev/null
@@ -0,0 +1,73 @@
+\input{../../header_beamer.tex}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Dérivées}
+
+\newcommand\consigne{Calculer la dérivée des fonctions suivantes
+
+\bigskip}
+\newcommand\qa{$f(x) = 3x^2 - 2x + 27$}
+\newcommand\ra{$f'(x) = 6x -2$}
+\newcommand\qb{$f(x) = 6\sqrt x$}
+\newcommand\rb{$f'(x) = \frac{3}{\sqrt x}$}
+\newcommand\qc{$f(x) = \frac{1}{x} + x^3$}
+\newcommand\rc{$f'(x) = -\frac{1}{x^2} + 3x^2$}
+\newcommand\qd{$f(x) = x^{26} + 7x^2 - 5$}
+\newcommand\rd{$f'(x) = 26x^{25} + 14x$}
+\newcommand\qe{$f(x) = \frac{1}{3x+2}$}
+\newcommand\re{$f'(x) = \frac{-3}{(3x+2)^2}$}
+
+%%%%%%%%%%%%%%%
+
+\begin{document}
+\slide{\titre}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\item \qa
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{1}
+\item \qb
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{2}
+\item \qc
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{3}
+\item \qd
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{4}
+\item \qe
+\end{enumerate}
+}
+
+\slide{\consigne
+\begin{enumerate}[1)]
+\item \qa~\reponse{2}{\ra}
+\item \qb~\reponse{3}{\rb}
+\item \qc~\reponse{4}{\rc}
+\item \qd~\reponse{5}{\rd}
+\item \qe~\reponse{6}{\re}
+\end{enumerate}
+
+
+}
+\end{document}
diff --git a/1ere/calcul_mental/modele.tex b/1ere/calcul_mental/modele.tex
new file mode 100644 (file)
index 0000000..1731501
--- /dev/null
@@ -0,0 +1,74 @@
+\input{../../header_beamer.tex}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Dérivées}
+
+\newcommand\consigne{Calculer la dérivée des fonctions suivantes
+
+\bigskip}
+\newcommand\qa{$f(x) = x^2 + 1$}
+\newcommand\ra{$f'(x) = 2x$}
+\newcommand\qb{$f(x) = 5x^3$}
+\newcommand\rb{$f'(x) = 15x^2$}
+\newcommand\qc{$f(x) = \frac{1}{x} + 2x + 1$}
+\newcommand\rc{$f'(x) = -\frac{1}{x^2} + 2$}
+\newcommand\qd{$f(x) = x^2 + x + 1$}
+\newcommand\rd{$f'(x) = 2x + 1$}
+\newcommand\qe{$f(x) = 3x^3 + 2x^2 + x + \sqrt 2$}
+\newcommand\re{$f'(x) = 9x^2 + 4x + 1$}
+
+%%%%%%%%%%%%%%%
+
+
+\begin{document}
+\slide{\titre}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\item \qa
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{1}
+\item \qb
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{2}
+\item \qc
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{3}
+\item \qd
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{4}
+\item \qe
+\end{enumerate}
+}
+
+\slide{\consigne
+\begin{enumerate}[1)]
+\item \qa~\reponse{2}{\ra}
+\item \qb~\reponse{3}{\rb}
+\item \qc~\reponse{4}{\rc}
+\item \qd~\reponse{5}{\rd}
+\item \qe~\reponse{6}{\re}
+\end{enumerate}
+
+
+}
+\end{document}
diff --git a/1ere/chapitre7_suites/act1.png b/1ere/chapitre7_suites/act1.png
new file mode 100644 (file)
index 0000000..e4f0e38
Binary files /dev/null and b/1ere/chapitre7_suites/act1.png differ
diff --git a/1ere/chapitre7_suites/act2.png b/1ere/chapitre7_suites/act2.png
new file mode 100644 (file)
index 0000000..d408efc
Binary files /dev/null and b/1ere/chapitre7_suites/act2.png differ
diff --git a/1ere/chapitre7_suites/act2a.png b/1ere/chapitre7_suites/act2a.png
new file mode 100644 (file)
index 0000000..a514017
Binary files /dev/null and b/1ere/chapitre7_suites/act2a.png differ
diff --git a/1ere/chapitre7_suites/act2b.png b/1ere/chapitre7_suites/act2b.png
new file mode 100644 (file)
index 0000000..8b57df2
Binary files /dev/null and b/1ere/chapitre7_suites/act2b.png differ
diff --git a/1ere/chapitre7_suites/act3.png b/1ere/chapitre7_suites/act3.png
new file mode 100644 (file)
index 0000000..6921fb0
Binary files /dev/null and b/1ere/chapitre7_suites/act3.png differ
diff --git a/1ere/chapitre7_suites/activite.pdf b/1ere/chapitre7_suites/activite.pdf
new file mode 100644 (file)
index 0000000..8013777
Binary files /dev/null and b/1ere/chapitre7_suites/activite.pdf differ
diff --git a/1ere/chapitre7_suites/activite.tex b/1ere/chapitre7_suites/activite.tex
new file mode 100644 (file)
index 0000000..24ac430
--- /dev/null
@@ -0,0 +1,16 @@
+\input{../../header_a5.tex}
+
+\newcommand\bla{12.5cm}
+
+\begin{document}
+\section*{Une introduction aux suites}
+
+\noindent\includegraphics[width=\bla]{act1.png}
+
+\noindent\includegraphics[width=\bla]{act2a.png}
+
+\noindent\includegraphics[width=\bla]{act2b.png}
+
+\noindent\includegraphics[width=\bla]{act3.png}
+
+\end{document}
diff --git a/1ere/chapitre7_suites/chap7.pdf b/1ere/chapitre7_suites/chap7.pdf
new file mode 100644 (file)
index 0000000..a501b7c
Binary files /dev/null and b/1ere/chapitre7_suites/chap7.pdf differ
diff --git a/1ere/chapitre7_suites/chap7.tex b/1ere/chapitre7_suites/chap7.tex
new file mode 100644 (file)
index 0000000..5e185d1
--- /dev/null
@@ -0,0 +1,80 @@
+\input{../../header.tex}
+
+\title{\vspace{-1cm}Chapitre 7 -- Suites \vspace{-1.5cm}}
+\date{}
+
+\begin{document}
+\maketitle
+
+\section{Généralités}
+\begin{defn}[Notion de suite de réels]
+Une \emph{suite} de réels est une liste ordonnée de nombres réels.
+
+Notation et vocabulaire :
+\begin{itemize2}
+\item Chaque nombre de cette liste est un \dotfill
+\item On donne à chaque terme un numéro en fonction de sa place dans la liste~: ce numéro est appelé \dotfill
+\lignepoint
+\item $u_n$ est appelé \dotfill
+\item Une suite peut commencer à $0$, $1$, ou un autre entier naturel. Si la suite commence au terme $0$, on la note \dotfill
+\end{itemize2}
+\end{defn}
+
+\bigskip
+
+\begin{defn}[Mode de définition]
+Une suite peut être définie de différentes manières :
+\begin{itemize2}
+\item Par une fonction : \dotfill
+
+\bigskip
+
+Exemple : \dotfill
+\lignepoint
+
+\bigskip
+
+\item Par une relation de récurrence : \dotfill
+
+\lignepoint
+
+\lignepoint
+
+\bigskip
+
+Exemple : \dotfill
+
+\lignepoint
+
+\bigskip
+
+\item Par un autre moyen.
+
+Exemple : \dotfill
+
+\lignepoint
+
+\end{itemize2}
+\end{defn}
+
+\bigskip
+
+\souligne{Représentation graphique} : si $(u_n)$ est une suite, on peut représenter les points de coordonnées $(n,u_n)$ dans un repère du plan.
+
+
+\begin{minipage}{10cm}
+Exemple~: $(u_n)$ est la suite définie par $u_n = \frac{1}{2}(x-3)^2 -3$
+\vspace{3cm}
+\end{minipage}
+\begin{minipage}{5cm}
+\includegraphics[width=5cm]{fondgraphique.pdf}
+\end{minipage}
+
+\newpage
+
+\section{Suites arithmétiques}
+
+\section{Suites géométriques}
+
+
+\end{document}
diff --git a/1ere/chapitre7_suites/fondgraphique.pdf b/1ere/chapitre7_suites/fondgraphique.pdf
new file mode 100644 (file)
index 0000000..5a33202
Binary files /dev/null and b/1ere/chapitre7_suites/fondgraphique.pdf differ
diff --git a/1ere/chapitre7_suites/fondgraphiue.svg b/1ere/chapitre7_suites/fondgraphiue.svg
new file mode 100644 (file)
index 0000000..d1da06c
--- /dev/null
@@ -0,0 +1,274 @@
+<?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="166.97519"
+   height="193.149"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.91 r"
+   sodipodi:docname="fondgraphiue.svg">
+  <defs
+     id="defs4">
+    <marker
+       inkscape:stockid="Arrow2Mend"
+       orient="auto"
+       refY="0"
+       refX="0"
+       id="Arrow2Mend"
+       style="overflow:visible">
+      <path
+         id="path3960"
+         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="scale(-0.6,-0.6)"
+         inkscape:connector-curvature="0" />
+    </marker>
+    <marker
+       inkscape:stockid="Arrow1Lend"
+       orient="auto"
+       refY="0"
+       refX="0"
+       id="Arrow1Lend"
+       style="overflow:visible">
+      <path
+         id="path3936"
+         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(-0.8,0,0,-0.8,-10,0)"
+         inkscape:connector-curvature="0" />
+    </marker>
+    <marker
+       inkscape:stockid="Arrow2Mend"
+       orient="auto"
+       refY="0"
+       refX="0"
+       id="Arrow2Mend-6"
+       style="overflow:visible">
+      <path
+         inkscape:connector-curvature="0"
+         id="path3960-5"
+         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="scale(-0.6,-0.6)" />
+    </marker>
+  </defs>
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="2.8"
+     inkscape:cx="100.9911"
+     inkscape:cy="126.72551"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1920"
+     inkscape:window-height="1023"
+     inkscape:window-x="0"
+     inkscape:window-y="0"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-235.67383"
+       originy="-429.5" />
+  </sodipodi:namedview>
+  <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(-235.67383,-429.71318)">
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250.00001,462.36218 144.99999,0"
+       id="path2987"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,482.36218 145,0"
+       id="path2987-8"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,502.36218 145,0"
+       id="path2987-3"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,522.36218 145,0"
+       id="path2987-34"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,582.36218 145,0"
+       id="path2987-2"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,602.36218 145,0"
+       id="path2987-62"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <g
+       id="g3856-4"
+       transform="matrix(0,1.1612903,-2,0,1514.7244,-22.153938)">
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-7-0"
+         d="m 400,562.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-8-3-9"
+         d="m 400,572.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-3-0-5"
+         d="m 400,582.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-34-3-4"
+         d="m 400,592.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-2-0-0"
+         d="m 400,602.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-28-4-6"
+         d="m 400,612.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-6-1-3"
+         d="m 400,622.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+      <path
+         sodipodi:nodetypes="cc"
+         inkscape:connector-curvature="0"
+         id="path2987-62-1-0"
+         d="m 400,632.36218 155,0"
+         style="fill:none;stroke:#909090;stroke-width:0.5;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
+    </g>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2Mend)"
+       d="m 250,542.36218 150,0"
+       id="path3927"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 270,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:12px;line-height:125%;font-family:Sans;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none"
+       x="235"
+       y="547.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="235"
+         y="547.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:11px;line-height:125%;font-family:Sans;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none"
+       x="270"
+       y="552.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="270"
+         y="552.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,562.36218 145,0"
+       id="path2987-34-9"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250,622.36218 145,0"
+       id="path2987-34-9-0"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 245,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-style:normal;font-weight:normal;font-size:11px;line-height:125%;font-family:Sans;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none"
+       x="240"
+       y="517.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="240"
+         y="517.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#909090;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
+       d="m 250.00001,442.36218 144.99999,0"
+       id="path2987-87"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1;marker-end:url(#Arrow2Mend)"
+       d="m 250,622.36218 0,-189.99999"
+       id="path3927-8"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/AP/droitesplan.ggb b/2nde/AP/droitesplan.ggb
new file mode 100644 (file)
index 0000000..0dc2c02
Binary files /dev/null and b/2nde/AP/droitesplan.ggb differ
diff --git a/2nde/AP/droitesplan.pdf b/2nde/AP/droitesplan.pdf
new file mode 100644 (file)
index 0000000..22c3176
Binary files /dev/null and b/2nde/AP/droitesplan.pdf differ
diff --git a/2nde/AP/droitesplan.tex b/2nde/AP/droitesplan.tex
new file mode 100644 (file)
index 0000000..8e64be3
--- /dev/null
@@ -0,0 +1,50 @@
+\input{../../header_a5.tex}
+
+\begin{document}
+\section*{Droites du plan}
+
+\exo{Tracer des droites}
+
+Tracer les droites dans le repère ci-dessous. Utiliser la calculatrice pour vérifier (pour celles qu'on peut vérifier).
+
+\noindent\begin{minipage}{8cm}\includegraphics[width=8cm]{droitesplan_graphevide.pdf}\end{minipage}
+\begin{minipage}{6cm}
+\begin{itemize}
+\item $\D_1$ : $y=3x$
+\item $\D_2$ : $y=-x + 2$
+\item $\D_3$ : $x=5$
+\item $\D_4$ : $y = \frac{1}{3}x -2$
+\end{itemize}
+\end{minipage}
+
+\exo{Identifier des équations de droites}
+Trouver les équations des sept droites ci-dessous. Utiliser la calculatrice pour vérifier en les retraçant.
+
+\includegraphics[width=8cm]{droitesplan_graphe.pdf}
+
+\exo{Droites parallèles}
+Parmi les droites suivantes (dont les équations données), regrouper ensemble celles qui sont parallèles.
+\[
+\begin{array}{cccc}
+\D_1 : y=x & \D_2 : y = 3x + 5 & \D_3 : y=-2 & \D_4 : y = 7-3x \\
+\D_5 : y = -3x + 8 & \D_6 : y=3x & \D_7 : x=-2 & \D_8 : y = x -5 \\
+\D_9 : y = \sqrt 2 & \D_10 : x=3 & \D_8 : y = \frac{6x}{2} & \D_9 : x=\pi \\
+\end{array}
+\]
+
+\exo{Droites parallèles ou non}
+On a $A(-2; 2)$, $B(1; 3)$, $C(-3; -1)$, $D(6; 2)$, $E(-1; -3)$.
+
+Déterminer les coefficients directeurs des 10 droites possibles entre ces points, et déterminer quelles sont les deux paires de droites parallèles. Vérifier avec un graphique.
+
+\exo{Droites sécantes, intersection}
+Montrer que les droites suivantes sont sécantes, puis déterminer les coordonnées de leur point d'intersection. Vérifier à l'aide d'un graphique.
+\begin{enumerate}
+\item $\systeme{\D_1 : y=2x \\ \D_2: y=3x+2}$
+\item $\systeme{\D_1 : x=2 \\ \D_2: y=-2x - 5}$
+\item $\systeme{\D_1 : y=-3 \\ \D_2: y=\frac{1}{2}x + 1}$
+\item $\systeme{\D_1 : y=6x-4 \\ \D_2: y=\frac{2}{3}x}$
+\end{enumerate}
+
+
+\end{document}
diff --git a/2nde/AP/droitesplan_graphe.pdf b/2nde/AP/droitesplan_graphe.pdf
new file mode 100644 (file)
index 0000000..36c01d9
--- /dev/null
@@ -0,0 +1,277 @@
+%PDF-1.4
+%âãÏÓ
+
+1 0 obj
+   << 
+      /Title ()
+      /Author ()
+      /Subject ()
+      /Keywords ()
+      /Creator (FreeHEP Graphics2D Driver)
+      /Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
+      /CreationDate (D:20160407214113+02'00')
+      /ModDate (D:20160407214113+02'00')
+      /Trapped /False
+   >>
+endobj
+
+2 0 obj
+   << 
+      /Type /Catalog
+      /Pages 3 0 R
+      /Outlines 4 0 R
+      /PageMode /UseOutlines
+      /ViewerPreferences 5 0 R
+      /OpenAction [6 0 R /Fit]
+   >>
+endobj
+
+5 0 obj
+   << 
+      /FitWindow true
+      /CenterWindow false
+   >>
+endobj
+
+6 0 obj
+   << 
+      /Parent 3 0 R
+      /Type /Page
+      /Contents 7 0 R
+   >>
+endobj
+
+7 0 obj
+   << 
+      /Length 8 0 R
+      /Filter [/ASCII85Decode /FlateDecode]
+   >>
+stream
+Gaua$bH<-OEo]F!ir237iVTn08q;(_0=2cG0\mRV%A_QA^Fu%D4380!%L.n.0NBN3g5-(>?g_fLA?]C8
+jUf2D/$+6uO.S*(Rd-s*r0;S3^OQ4Yj2\q7Ge`d0+1\l4_7q"ga[^gWr>Ydua1qWK5HC=SnIND7m4\Jq
+If9(,*_"d)J,T!5^]2JAreTJ1rp>cI`rE^.of#&'CuDW#cNZQp5Ri+ken0Aqrp>bIa1pkiB,t2,Dfma=
+@s]/JNE+#7#i]'\`'"7\rk=-Fn#aD&o;L%9qKlgBq"gm1WE"t:=39r\je)I;Gj[g'?d1+kboQb.LV5M,
+nZmmj)ApI7Xl\0h*H_YNs489&h_AG#Qh$DWHKDU'Lum/kF8Ypnr$lF>IK'u8rI=VTq^\PThQbdd&lX,$
+PT9]e\A*(&)oeqcq$iq!3J?-(_XVE8)%+c)?ZEehlpBt&f8kXW.Km6l>cgFrHO""QKRWkj@?k1>Vtc^'
+4^#ZQY+\Rn26VgXDgpeJ@'9$"lISA'd;&9,<f[[F.pQ*m\=20P6`mOQ=DlCl[9(M\2nm9O`++7u)ND1O
+Y4gK4+OhHL&RsK]chm"mQ-bBI!/aq2<pbBF$sK4?@GSPEAK;\9YcV]#W)qd?\A$OurPl0P(?.+>/GjC[
+<Q'2ZLq:&k4M/UJk[#3t5)%YH'm!**rOr'GnS3>?<`0+$<c1D*';g(e+0JII.+LSI0')uu35'Y7g/"S'
+$W"<QboubhhATb#I-hh@p6+$oM#A@3\[j,6N'[t%-f#`BqKqA_jeC),m`je8m9u^=c+b=n+bpcj$naVa
+>b]te*G<[6WnP?cgVZe\rD1)n['.&bZU:&2?R64H&a-aCY<T;[B*laB7Qd!N@Ws?m[*8%m@?"X8hr(4i
+me`WdWu#r=T%NILYc@7'2K/=r?hJenoR-Q"q&%J$Q\U5em$EKLCd#K#J)]K30eK;8:IL%Tde`<5F).IX
+o4;(PEZdsF3H1iIgk6JL!ZGh4RdCn0g$TmGNu<2m/@fE-V99N`h&B_`M'bhucLLZJQq"\M&P_:j?*;7r
+:FD%j@:AZ^rbD!^X8#4e,_&l3>-=b7[Ea+.=*VdCHoB%rPg3q+TdpHQRdr=Amt!"CSd;K4Ceo`\VrNW\
+]!=I2>0\&8VZBp@$JW/g.;%S4Z([-kotI-Uh]'H\j%550)_AJA9.ebgr_E#:Za.?84@WD#a$sfJc&R8q
+*+"mO4#.Wo]Lq5^,2V]kN=JAMD"N%tj:RW!<rD$lL'EOE^(AR>Bh%q$6t2B2miX9=[gI1OZRS3pme-s$
+5*^Aq,)ce-U8i"0]@7XUruL]sF!;9;L,=Cc24IC[SE$&6]Y!u5`U&18YkOfF'ba)[id3.lLV\NID-^fj
+7qsPIWnnCfrZ/+,aHt4ea_W_8lO%L7MYi?[d(iW.]i@`S8(m>g;Tl%^NaqXj7pd+k*e9DCH'YXXJ+H;F
+LEYf;3/0*$=!)mp4oAW5pq?OnHhG;F[3>ETb[2[ibWZjBIB`PA\/`#bQoFC+2tJA]p9r>TBWssB]k^<F
+%9SYD8:p*H'aj.4,:4TGqi4Sl&UN,B;"#QVDi91k04b#$S)$/cEIod!UVhQONT:Hf%l(-XEZoJ172G#C
+G<90WGs><d@m=X"\Ep,Ep7A=;?6<hnAW,8OHek<rOaREtZqt*c\'Yeo7V$_'g$S(nAG0!ulq#m"n=JXj
+oS[3BA.sbHW8Y0%+O$?m5A9Af0(5,r$X%l^^V3NW>LsjOlA:2!agt*BE$<o=@iLDdM;al?6=qC?gV%2p
+i480U]fEh01-X<eNFS29NP+ShAeqpaFK[om[E[?=$Z(+UMBCsGh&acmgVYYudk9+%O/*"&8In"J*df5]
+n<"DVl*alpaRj3$R:CKp85/1M]Y)FAD4^7rIV4&uFYd@E]6nRdp'iplht;>*]-%!;*r[^=pp8K#0<<Z^
+FT+QGU>pp[OhH`>a<K2/U6S*3@dZ3`lp+!\A^.fG,+P"f/aE@9KKm":Hs);m$V$G,YMQ;Gb%jtGT!WJo
+Mb:[sC,o?5?M9Ql0'+R,&ZgH<C-9XRA8'THYdHqrH:q9+km+oPHV$*c*k_@dZ[)R;]DdF7!+us7=YmZK
+5qT,!=B5gLM^lPnrrZ_PSqr>c:(%JCR$0bFg>9k&(N[Q"0ZABcrpgtaamL3/SsrJ;i`/EfIrbA`G*a00
+,ODQ'hHhEo]>!F^XYkFQ>H2^>5A^>7?HUPkfRr;1O2;BIb_gIRbB\*#FP3s0[q4@P/mI2bCmk$)[[`]O
+p%jMhq'gP^I`H'4]7*P'flDPoErN<)]XZ"lQpc[TG1XU9^BH[Nr!*&sD0qqp,Z&g?9Hl,#S1c4O=&dD5
+8H@#[,]`4>Hc@=]qdpIdq>7Ca"Al[s"E<$f!iTu`E?R)oNQEGrnn&MZkI?l^E7mp:p"`;nD7Q#:g,ef8
+=r"He,hV8rP5rmt8Y?=cAeIB!@M0XWXMWe_8[,#8,l!sh8[&u"8[*r=8YH(IZ2h<jS?(3oA.h0!@M3t*
+ijP6Xd+h=S6?CemF.CXFi[^af?o&U_a<'B`,_4<T&u`^XQiqB_9Z$*G-@rV4Mb*o(bp:[,YaNGA4d[UA
+0T#_D,YB&^!n/<Ca4;C@`71nV!;0!?.'W$>6NH5M6X5Fmn]''%:t",["Al[OLuN\BFbg[BiZl^J`26(:
+rjaSpd)*=sQ)R];.#S8:98<M->DFU]].,Nb;7q",ND50.Y$6ZH8R^or5ipE;JEPK,:oCUA#hK%(+b42c
+=)GUL6_GO\V*bqu=f=],Up^c<On\UdEU[_t3Wr9jF9oOeD]Jm-DWLolbEi]ieq?\Of[t9NhVW5+28=rk
+qkul$mThjVa*hU0XRk!d2DQ<4_HBs`efe/`V*jaS>DHUG[eKCe\bAI<Ais-TgnmHCXd9NKENWN$i1/F\
+"Qi@fFGPoNLY-f0T;cu!&:Dg#6NG`?6PM+,R=>;gQO\SteTS)*jbup9R::'26PS_IV!bJ6Y]Yb]9S_8f
+3X"jE)QE,k;RUVpefdkF^3,6UIj6UH*jNG,`;0O"W1#L!.4]R8o/2=MIf5+a:5rW/E6a%JVWTJj0TL>`
+ci_-DfQ?5'rt??`fJS!7ID9L":Roc0VnV.Yjl+J-LGuF+C$E"16<1YKh);]a[L,g\^VRAH<oHhk*A2dA
+Sa75mm5aZopQ@Hh;<1'BZ1UkVp*q'Mm@KU7Wb/6]h,)-?%q>9.GquP7eJ&]J\F-efXTNFaFZ2LpfA0Qs
+[I2&DL+cbTX!bYe;jXoL0h6)]rEQJqOBcusT=OY9G]28O(\d(D=a't*f=K_V[dF?9l;j<(fbeSl7&F@5
+h6"C[RJI\1C`.Oh);nB<<GA+8$IuecYIde5>IEl'e<R/5$[I4`VXV*fjLX(uf@JdO>:Fme)Fa=^e^rC.
+W^h3D]"2OX]:n%*3L`o2PcNU!nL9MP[g-8aHaaMg<IK+aqVck&nR[!M5D[d1>[-#F;('MTXn8l@YqfpX
+#oj)hFJ@kj2Y,^H>[[F*8M[/K/r;:M[C91Y`i]o5DV*LmF)?eaIWbEh#G2u"(TcEN$7ar5LuC3H[-MM[
+>%:?39D<adon0s.HHBo44a?]S@KK/6rkdUka2*_3^PQg(TieuZ%Muk4U0=SjAlD]rW<!kq=B/usb)-+r
+8SdMSjoS!3>a/[=cAc`e68jjil1Bumn!O"A?L9:WRNk]"1991G%LYTDK)FgLm$jHPVel>&Wn+64>b,?#
+ntX9CY5J`N7Bg<O1k,O+btHR&OcQU(!g:MM2:lSB\al4=pl#f+*ZFdjchGMl+%9DS\QY)LR@43<q7C6J
+p2r:3P@gg4J)&,p'ZZ)"5Xe9ca/rT]L[#G9&SC]Sg2%,p9*NJj'_&3elB'"lAK.F7S#*CaLN>Etj*OWJ
+F69f2:OPY&q@UtVPWnK^]VY+p_d'^&UU6snhDn)Y$=%L3>QnNBhrR)m]f,lZNpTbD/V-LKR&3:s\aGK-
+D`iYdcZ]=%qu)$?OXd,6)+-DuW`0jdZ1e?OW=l=pS.n$SZkQC@94;W_XAfPr0'i^$LcNo'&`]91[@8FN
+GRJ;TQ'7q;8/`;9-n.GJ/@/.f<-U-NHR!.T^)FctJ=se\k0-*78^j-680K@=#DtjKM.o]B<f!-,DOcrT
+ibg#nP@?>p1/B%Z3<Ec]C(9'QP\Ugte!1b=e5cP0#kq6Jg/kUqSA74:X:@[9/RVSo6"?)`HaMpfG(4GC
+GS?_!8@?9SHdF="f&&!JA!E;\U.3<<!Hlq:Co"K_"W%)cE*!OlqqI*ojqk;3Dbr@Ogs`UWlN%T,1jBee
+3>1jg6fosQS5g3Ms.TBa-oVagB&uKjcKW:>Gd)_S^>a9kE*`?UTN!VtI;Gse0df\Yn:B3(jdaC[S0>eB
+A59^U<_g6pc9>/]]7s>p/:em7h@=\fH]i1m6AktU>9d'0+gmR]-1;/]%!YEU+*(nuGQR9c>$#C$*3"N-
+Zr'gu\hUm5P"`/OW^7ZB3$t8E4V>0G[jI+*/77lF7c$.>V^6f(pNIOirEasJ^&7AHjl,Bo3+%+fcot(-
+2)qtH3rXPHYr/aCI]2uGpA<+(/0*bU0U%jdk1gE%8623egI>4\9&Y/N0?fY1PNY/+9l?H$063u:15j7[
+2P5,1\()\/K&#EM=B2#WD^8]RR+W"A*'te\/J_EnceZa##`KK3e@-($r<,W*)[)VBm0?r>BG0Dp6q&'.
+ABum7!eOsIZ*R4)\>r*Jr@r9"2,E!ZN--$P8+O*c>_jq+"nd(;4GgY\m>!K3gCK9[?aY@)ZB.Df^/0l&
+'2^oTL2:=t`oT[%_hN"baDZY)((-ZNa40K_fMeZ+6#15*&Q.*^;()r(g@U"rZR;CA:@>SJDk!Z,;Sr#/
+cGO7CUiVRIo(?l2mrk*@G+"tGR3-f%5PRcun;e*-nWC]'k.0k7E\2ZV]+g!dNG`ro=DQrWI@b,"J[H8"
+[D20ek@OCiI=o#b>Q(-Q?#/K/F8Y"Co&\2*jf;F]g"JCu\`c"%D#c&k0_"J:XZWgW$QH\XpJ"Sm:+-?O
+q/i,hY2Dm\&s\rmcORW'<o:[)7_.eUeQ5;5"tHTZV6TJ:V9kiT$^Dlb.g>TO,=B)W_VQ1okq,oGV]YP3
+mj6N*HgpH1Y)W<3`R`&f/#QmAKiRD;ktNF4iG#D#,Q15^1]:\@RW)_.iombb0XiD*POKE!QR`TE(>u=*
+M?U%M\V\F3O13#J=`2tV2sr%*D;&!mKO]M4(=g&eNkE)\XYogJ[FE>^rLgWG0<%FtK6R?as,_JnN\)V>
+b%"Ym[k08IRr2FWhR8s4+Ob2>fZa?5Vu2:Knqf$S*T,gO>>>]5::De[,ie,C$#LM.f3=*8[tOPd^6f%e
+$8IB0=.,RME7\8S9S/akdU<bZ,+M58:6h;?@#1@F:qKBG,a:LSbI1eXLIou\A5'keAeN&%,a^fn_^+`F
+`F0An4jmaO83!+i,X$E-$&#\'1KN"#LIm#@DC0quV.YcZJ3l5ZQukHG8Jo1/6l4/!3D)>+@MC$XHVsaT
+R09]?[fFXtHnfULR:!@Nfh;I"E&3?JShMM-X.)Ztg.[*C1Pr*Y0IG1)WgcR&EH`a,R/e6SJSB-\M)I5<
+nu;(i'!0u&&mRIhc6O%t8ifZ*fY\Yl8.R&0/gc/F35=IT6S'Pt?&,)rM+<?b5[0"Wgc"@W7)M]TY![#9
+H*Q>16h&PBdilfMimApjpS-sbgcH9WBj_PpD]Jlu%Za3oFg'%6C_GScKXRPlUI-l3+XW+aQq)ocI-D3M
+&JrV0,8"/bI)T'#r&r\/lT.F5CJ8G5q?Z94+_E`9ZYH#criHZ7LM3+.FGM[(UZP.(/fhg5kn$Q6eV$gC
+g,_VT*9Cm<5pY`qDr/QUip?I7_3aSOgPrQ%f@D*IO7(_R4_pXE$\e-7&1nOJ]gS1s@6!Rf!SXW,T/'\5
+6k`></[,h9*:F[aWI6RoX-"@h?&+4Uoim3ep/]Wc0IJW<.96(PF)F803eZD(r>fL:lOZoN]Q=Fna)hU@
+F<''4Q/]k%@QRX!ElR<(7+K@b3^gI.'j<.Yb&dnV>DFoFFbk=&'YRd73^hMrHWu9h)W`CYI/M6YQ\pi+
++7E<-Z]']%b'3Vl6<nsn:7Gh)rkuD*oi>n)cIoq_6sgYK^Ge>&1c5+D8'@S'r[2l4iAGpj^V=a.^aBWT
+r_q]5:)"f,4PkAB`6a[7-#7)Fq"MeLAWtBUj`Wh,j!UV-maZ\m[tXl>Wq%">$WA/fhQUr@i^@Pl"19/E
+%;e;7YB#rG%0XqQjeWdYI4Nt9?7^1t1&LVZm'E=EOOfHO)8j=lAkfURjY=qa<m(PFCm^V4bF,gG^gi80
+Xf6n+'#fruFW*"Cm,oiWFs+j7WD&<G`fNr[6-r3G&_=H:jFl[LpB4h5*b?7)Leg)ab"U_K<V#EB"rVEa
+749$ak(ti!*+=/X!G^)3KHWdP;9r7B=X^7kpQcIDYWAtHkekg/KicKjfZ@GY3rMdc7\_?ap3LbQR$*dt
+n6'gOc]its/c)ak%=Mo*oej+OqS!lQ2@e5gF&4iXZ;pq*>l*!)E`Z4Y]XQ&D^"LGq<RKK)<b9o`"0@Sm
+8+lA!C-&6?Z*H68I%7Pl&)rqG+X=U(V%(BLXF;DY4)"'=,VE3h'!&h5#/1t3?LDhM\b_8<3X$7HHs)FE
+oa@TX^GiO[hnH*J$%LC3f'RLg[=5lU&S'E`HU:JUKtT?kEjq:p?N%[KmU"<_"n0:>J#+&_XsGFkV*?l`
+r.Ng(@c[86VTpjd]gsE+Ag&sTg6A_\nC^o&2ZO23V8n\aKM%50eMg:i/X?KZD>^\\Y)TW)crb<GH(j0)
+Re;NJh2BOqX)uSuD?+!B5]>UNf;fD:h6BRR[-&pNGtM9ShL;hF8![H2hE=8Aoa9DrI'.Y2A#H=$H0)\<
+*JES:7k<b/$g)"\f4l"(?hHjV4FLbF'!gl7>CHt1FSeqZ`-hAXCsM[R!GNA`QCQabXgdrfX+m#361La)
+l+fX&#TN$'IGLrQ)7Bmf[;gZZNH3EaA;0GUYVr*6+^d;</Sh<I)2BG8p?T7]U6g"i!Tt>mS:.HY:io`4
+Uh*CF[/#0sk?m[mjh'Ela7&s+5K%(A79X3url8CGr;H(D8*9-0epm_S^['blH2m;>?X;q5eS*i[SLsEi
+;+>nsd6>]dO##F%4gZ0deDkDT^id\s7spnl@UHU81>559m8:md=Y#PZUlTht7m59j4n>A,r)#q4P`\2R
+GdJcHZm@rjP!@Yu*q^p'odGlIP`L-T7m5!b4j'N@jeEmi;31QNO8>eFrMW57e>%KBUH[s?5O-W;ok5H?
+BTIJHO*^R]3np9k8hYGZQo>P^h8=BUIq'AV;9&AZ@m%mN+(^s97qLJDc<K_CbII!01<-)JnPR;NPVJb@
+UdmSr7m5:q*pKF@ku!N6;31@J8,B1)=kSCogtl)?hU]9@EI!ji<Y\V(q.NEH[&&/WV*+$?53budosjGb
+];+(9C-A?G1[9BV21Ju)Bk8)&B48LR^7lNHDqEnGF2'_G1ZXf$G&/,_@!=R3Kq*bLPB8V]o+#ZM@6,Er
+pL07VOuPqN>P)JV4qcq=3<`bn@r"+B+u[e)g\_6[L<aVjM1Q3/4>Nqdk$-SIXA@rG'FT-I3<e13nG]:I
+'+<2mo!"m.YZP61+<.sXF%pshZjV^XPmDuS$1CY:;BQ4^qdWM#+lMAY@B09)Guk;@m>lf+7<qWiJgkA;
+jXb.2NgRXk)Io`E3.M(R@M#X9@=I4!8+&b3O(n0kZC^GSXfUoifJ1PJ0APEJ>>k?.WVRaLgVF6I%S00+
+J#q0bU1*q/'5],KrR/LjFN],06`3&0F0tK+gi&%'4,s9uVR`4k[=<-k4MNc8q^4<7jVY,uZa9V(Wr4C1
+KDZ;1rY.D[HtHCU;bUFW=S[48&([ug0WNif&'U_.oP"\[C#Hu.SsJu/WQeLZ;sib:`+%`.W;UEBFfoCP
+'>Zr?9t-BYV,a3Ee:-2o[EblIUS')\WVPHHEF!$k#2GV-TNVueL=QiR1(`=RFa(M@h_t$'PD9R>fkUQP
+#dchKk"^"4g)lL3T0q(:61^.dq*@3UI=EM9n[,:o(aoa1;=2Cho%]2$p2fmhnE^7c*ts3<:K4_D'*Tal
+X_G]HgXfSq<bt!EOg"L(,N8N8Q],(lrgV1lb1#a-:n5g"mDhVu30@gQr@inZZ[@Y<Ii/S]Is_F:pCD/5
+N%nQ6+^hGHLLKSB>ebqpZMcK,<UhO."IKGHbY0hmm3HKQC47-_^S!IUI;fn$rEW"p_O7\f%LQTn_U5H:
+n_'!$=5e%A,XUk$Jt9j4gIsQ7E9/J-9H*^hdSfj)\j?*UIU<HP6LShep.mW)&":"+OosMk0_`c^$r/uN
+.%]JG*kd&BbPl7Q[=9N`J+3/-7^;6@"bC'hs!P^7Ic*d65?WNRh479"4-6#CoBl"&4.4hOl5JO$[5jXf
+jiM6oa2fjpJVT8%F0-US3>ZS\^u!d/Nqm/YTU@IZb:,JC@%/r9"-^8^o3Uju-%1n`k$>@$"ETUY>?Uas
+j#2,Lp7j^r\MY[SKkd*,8_MlpkJhmuNnBCS.'"$CDE8TUbHbmM;il@I*a[=B=[7T];K$cA4e/Cc%4qE6
+GoZR@4aa,@?cR4Lhf^C#_e!#h:$$o'6>ZCZ4Zql"mi>?4YJ'%8ZA6?1)?McFn>(m-IZfINSdDWuhrH!1
+G"9Zl?,kPkG'HA:mO<F+_kmqMXY"5ac!;V+B@tL^h#sQfr69X9%q!u!!a-aBNPE$1jP_S$Iccsg&b1$_
+ahq%07B<pcj6uE]_i]B<O0pBr^Ul]@5PuY%n2MJL^UliD2nA0$,&IcQma8o[o#_Gd=Z-3H/j5`_F9J],
+V4d@&pZ^XhkKGRQ)2cGkh!&Y;0(Ol%lTsafl;+rl6jM6a99];^V96Koh(fnQ4K_&!i@In"LYOPr5Ms64
+1oQoZNOR[t]Y3)pTG"b(Fb\(&e%<ddgVJ!]4h&%X1Y;<Md+*,#Z"e:Un"2?%9^D_)6u78!iqM?hT#<O9
+K$5V^8DNn3'5T#k!B1Pl;-t5HiheoL#J3_pJrfolO>=:n`+^7Mr1mFW0Sc$J05&BMk.6mTkRb!lkN4Fo
+>!+Qq823"CLKL$gLH3<7+4OZ[&92s5hGU]h!XE;iEZ,s-D\c-m+g)-G$"ONcF;loTLbnjIRiLGShL7K'
+(m=D03Q)cG3F"R4`:KHOiCl1q08IU^e1QL^K.r'PLPSAfnMN<pn;VBI6nDNa!QuWU.C%VN``gU&a<AE.
+AIrm<3&+,3@Jm/2k@8UiYubuX`lCP&K9SaAU3#on=c.&?)93nPc\7:\V%CnFRR7M.*1/b)(sQKV6]B80
+ZoQ'h*Y,G:higFW(;Af?F1:k46hDs@jq-!*A4@'V^4Y&J1"G4mOq4FUXo39r8Z--9LPXDuN"=>[K$W>%
+&KCJoIQ>>'VR9b@&KC,eIQ9e!+LPPd&c"o+*+Fr:k\UeA)W9uo1C;NMLcP;$13/0VOLIU$,\4q=AeMQ4
+&:%O'jUgh3OQ-oFg"gh-R=t)i7%Qkh3Q0_%lcgT9O<01E8Q_$<g`d%8(;M\]Ih48^S**WF9B$GRZMCg$
+DK.jGY[^_s,-_$cIuEo<mUonZq7?+Tid;e>9@gP"jnn&X`UeXYoGN8D$c\Nkk7\#g#_4Ma0`G<>+"?oW
+K'+Z0V`gY$Q!5Gjk<$tm4Wc0Mbcl?+A:2"65#q5@@.AWfpilCYXE8lsmeN=An`g.cXGK(I$*Mu8IU5/Z
+r6mS0XM6Oi\_-P`^RkVZOc7g`]YX,tA1o:d0R4n/GS=:>p*fHcae"(d]fZe61\O9kcf@pB8M?,,pW/q"
+]Kn<P_30$Vq[e*/nHR)_#LC=-m)L8r2":dl.L4G@)slQVIYt?U[iAWdDm9+um)d0bBFM@p'B^'V2=ZFC
+1U4lf'T>2DGf+&rR,UgI;s_cI)^a_\F/G,p.e[]<9o:R;8A%O9fW0ifE5j6U:qQgA+F>s8#+S!=Nl2lU
+L+Z0iLAOOk`^mc$r_;A6b&"c0)fQ"@^Vh(K(W6r)^_r<\B;]uAZ%H0<NGT9^if,O?DXdq$6.qHY2q?Qq
+M`34kp1!#U1U50CRqC?+M`8o!2((n0gs\]H^_mjA9t]`hm..$R]QY2a]G\h8GtYdf-MFupK8hi71D4W'
+ANqg(B]n@eDl/AJ0&B:FSillW-9caa's_C(Q<f4@7NT>_lBONk%g<V.'dd,XAn3#S'14AHk;Y#>;R"2Y
+ob)2Y)(^,+>J.SR)/odk%gpl%qo/rfi!co@"_3FBm0$d8#%^RGCl=.b*aFV7Y9$AqM8^Mu[@u[bbA,`!
+%ZXQLn%l5s)"#/C=n]L0eGSqR$Z<(]r%4:54ImjEAY(5tJec8UEIq-WQG$KVU,^n&n,[0Xm0"@bdt.aU
+$TJ7/ho2'>hL\7hVB/jD5W:*Y-oc`5oLlh_[j\aW]I>"=r(Xgi2q:R6!GC?cRs%0hRTQIrJMSRB'>l4o
+Z(!^a*VRr>r\[D7'MR]:A:61u9KfAC;'+PpF&34=4?.uk^CEUr\'+g+&QmZdM"]H?.$%fpq"(SA_UY&"
+Z(Fl7_ntrISP^GuJ`C)BUHF9&imhG$0D_>^iMdheg@>Km-kFV=nS`tUSr4&pN:NeTNIQkFnm%^CQi"%G
+Hk_Qi9DT!u2-YH!N:Ng5HIXdG4NN<o.l,RuE!D>P.o_K_%64>]7j!7;E;Z3mEZ3'6oWQ0I0]r0!Q)O]Y
+7[e*:%I'#PIf'!d',E-K<mQ2\1W.eTT1j[d^D9&7-bhC_&3r#c^D'I01UNM\BF$R@IGFA#>4NW-c=`0'
+r;'koZfDq#J:mbg97AJlnfTL&gSdJ]/GZ\ub_$S9QpO/Rac^"hcR\oAq2Lesd$#cj(9`(oj>UZh!]DLn
+rJKL*)1$e++e\"7EJB3uDUSCi%0>9or$t=.p39eU#\\Ck(2M8jQ!\52BU0E<'`Zhp^9>oq=RD"WllEPX
+Eck9=f4'g96*(jj5ihE!>H&CqN%a*HG,dJ1!W5dl7Jq_UBJG<t^rPHn'>0=nkFP`E42,)"Jp^=@6\k3X
+rjGo3RUM+G1^)/6>AP#RLp!$J)?OUWq1/!tAFUd2Spj.XV:1FC:U9eC&35+`PKgj(?R`/?9)[_(D)ZsD
+`>>;L5*g/1f_LL%@hX@5DtneE2m,&3r#pR#(TW;d;\OXG1WlPKP@dAPU%h!DEUb4#N(a'l^CVJ259c^2
+hl$6:rc"jqi!X;7`#nIN[9rig1db`5:2qr/eT%-:=j.tUpqulUM*Hs^Qh\JnI>L0N?M+q\&>*n2LG\$(
+In2@JnV8s]<l=+4pqq?&M*HrkQhZ2XH&FmL)"Q[)U`#No6^i"O5GT0`pqulMM*Hr3QhXM%]D.#'Fc/J?
+:Ug*dRW40KU_ssj/H&lP@=5W(+3'L;r*fN5`1JgB`?/n#\A]Q<N(a'lc+(\6dYpis!R8-n+4,tmjS*Tk
+hg,%KV\HO[_=5daPkCprrqC4*a*__'Yk[sb5Q5s,qd0g.<!r~>
+endstream
+endobj
+
+8 0 obj
+   11471
+endobj
+
+3 0 obj
+   << 
+      /Parent null
+      /Type /Pages
+      /MediaBox [0.0000 0.0000 376.00 292.00]
+      /Resources 9 0 R
+      /Kids [6 0 R]
+      /Count 1
+   >>
+endobj
+
+10 0 obj
+   [/PDF /Text /ImageC]
+endobj
+
+11 0 obj
+   << 
+      /Alpha1
+      << 
+         /ca 1.0000
+         /CA 1.0000
+         /BM /Normal
+         /AIS false
+      >>
+   >>
+endobj
+
+9 0 obj
+   << 
+      /ProcSet 10 0 R
+      /ExtGState 11 0 R
+   >>
+endobj
+
+4 0 obj
+   << 
+      /Type /Outlines
+      /First 12 0 R
+      /Last 12 0 R
+   >>
+endobj
+
+12 0 obj
+   << 
+      /Parent 4 0 R
+      /Title (Page 1 \(untitled\))
+      /Prev null
+      /Next null
+      /Dest [6 0 R /Fit]
+   >>
+endobj
+
+xref
+0 13
+0000000000 65535 f\r
+0000000016 00000 n\r
+0000000327 00000 n\r
+0000012282 00000 n\r
+0000012713 00000 n\r
+0000000509 00000 n\r
+0000000586 00000 n\r
+0000000675 00000 n\r
+0000012257 00000 n\r
+0000012638 00000 n\r
+0000012453 00000 n\r
+0000012494 00000 n\r
+0000012803 00000 n\r
+
+trailer
+<< 
+   /Size 12
+   /Root 2 0 R
+   /Info 1 0 R
+>>
+
+startxref
+12947
+
+%%EOF
diff --git a/2nde/AP/droitesplan_graphevide.pdf b/2nde/AP/droitesplan_graphevide.pdf
new file mode 100644 (file)
index 0000000..9deda2a
--- /dev/null
@@ -0,0 +1,227 @@
+%PDF-1.4
+%âãÏÓ
+
+1 0 obj
+   << 
+      /Title ()
+      /Author ()
+      /Subject ()
+      /Keywords ()
+      /Creator (FreeHEP Graphics2D Driver)
+      /Producer (org.freehep.graphicsio.c.m Revision: 1.7 )
+      /CreationDate (D:20160407214216+02'00')
+      /ModDate (D:20160407214216+02'00')
+      /Trapped /False
+   >>
+endobj
+
+2 0 obj
+   << 
+      /Type /Catalog
+      /Pages 3 0 R
+      /Outlines 4 0 R
+      /PageMode /UseOutlines
+      /ViewerPreferences 5 0 R
+      /OpenAction [6 0 R /Fit]
+   >>
+endobj
+
+5 0 obj
+   << 
+      /FitWindow true
+      /CenterWindow false
+   >>
+endobj
+
+6 0 obj
+   << 
+      /Parent 3 0 R
+      /Type /Page
+      /Contents 7 0 R
+   >>
+endobj
+
+7 0 obj
+   << 
+      /Length 8 0 R
+      /Filter [/ASCII85Decode /FlateDecode]
+   >>
+stream
+Gau`XbH</'D4UE&llX;DkulFgUB$lG).X^DOF%S0%NO[3JT*2)Uoc[C?sEf=@C4XPMP;M^>,&%BHh;?T
+fCcl=5Q8tn]_0n3hKLKRHtW9Rp%-drs8MQAn^ihBp\2O3Nq;<V?f"$:mm$g=a+&r9J,H4J^\n*"l1Ng2
+*$XdB^]*s*n,Mt)5LObjJ,?!Sr+?o5DgL?3i&Q@0Ju8WkK(%:f/;Nk9Il&2GV?]j:H`nMP(iH=&/4*ap
+EEe%e@?VBunEo\M"FjC%cf_"KJ,Bn>\6a[]OaH-"\4VKcaFEkidcpi>YO5#1e)NW=fU/Lo[nWB1?l2%Q
+0COrCD(%%:=-"7_`qqBr^.QT;d\TI6n%3ea?ON3Ec%;_jM66gH5LTL*\]G[D(J)dG4`bfE[IF,I#pYCQ
+mIM8ZhfC46@jk)*61_*EUVG6)VfXH3YFe#^(D-^r&%&dFXnN:CR4.q-,@;Y03mQtQRloB,GESfIDt,>%
+m9AF9"I>A1[Cl^bUijs%&rR1cX14#q[$E=*[.\BiE_@"ohmoCuHB1(Ba*`_5UPn6fr>#K$Hd"njkB>Z-
+>/_uC9p>iY.bZ6's25iJ2Mj*O/&+u;:()5ZlU5qa?cVOcbP$X&Y??_J`3ZhE+;#dW>Y4hL'@4g)%IIqH
+F&,63GD!(JU:nMmNb.?S2G"@VRG7lB1L.W@L9esREk@.uL>:XGoD?h:GVY0n0"FQ$8F<OSVK]2Hcm[:6
+XtLCSSZ^KmNh2E.%TKb-9hk"<bN3bQZ_DlkG^2CW&i9PMi^4AW68I3Qe8\2(VemuW6WE_':AYX$dJq,s
+Vmkl=>9$Q#rN9`$M);&a\"?e";h@EX81W,"n*W'8R5k``Z@5mN#$9>0qOdO`.tgA>[f.:E<PQA9m6:2C
+bP/pFrF,MD_/rn96qY,$%-cCq*W8dH1*kXqWqRc0'W6*B&`43Xb[2WQ,_9M!kDPoY\18?+">k4Tip@['
+`VL(Pa1U&>OaIt*Ebd!Og,H\s'2;#\jLB4>6DJIeLnV(W,o'SN\VZL3Y\UK3rU-+k7!rGndX9XL8a<9C
+rFTES%GC90cX*%TlHNt0Tc4+9:!GQ)Ne::FR0]d*6mdNbH"A2DY!sbTbc*=<)Na2[3ENIa.`@[V%:c36
+oaQVg"!]2R8R8;Z./2:D-)j2tSMe%'7XK@((q8cl!pSKDEW!66okr"+M4<J@,)uRj*:o@c?UXU(E]n%.
+*L&VNrlMm/#/lu_'Gm#k'Cu6J@`[*dTNMc".]-!?'qge#IYuXIC0Ial7MI_SVJTcp[0?=))h(GP-q*]h
+mSEOor^9F%=+=]Jm[adS68l&fTOEK5W(n>10m:&e&7M_nAp'njV537>R$une)f5>=F*b9^bVm)UQu'on
+7TjE?<O?[C-<-/Jn$Z,We8DF!G2Hd^]T=1bZEEc"YKqUf;g04!1#%^uGftI$aF!m,Hi;$4mDsYAOn\_!
+pu%_s'(8/V/,i`)np?N&mO[K&HiJ!:UbU^/:"p+f`FQ&)>oU!fMiitF:U1]h(FD*c&8aoR`XXT*H)^J@
+In.F"joq0D;n'Ki(amt!Ecf5qfobD`a$Z8[%'GC+9ut3,I.ud]o_YWaY5#h<Xt>)`B^][VbkaSgW7\8T
+D"%(1>GBBXLBQGm\XeSE)Nii9VV0MVg#B"$fo[MJ0M_:SqT6,d)ACb!TOC4s&3M?"#BO1uj`]mI&@!,D
+\tGO6'd$"^M2\hkg<-4q+cTpN[Mf=0i?njr(*WL^^(sN&\MEI+S_jGcTBjtW0kib0')IJuOo$HNqD6m]
+N32f31N0bj+8,:E%i1N1Ls(7eANol[557Z4pddUD8:L&jS4Mlg/p$%B.H8Q+Z>:^sncG-DZ=3><p:p>8
+?[D1"f5\k:Vs3)HMu1li`7?#Rb==b>O*m73[>S]MV"5DmPoOF]8+AS@i=mH,`$e,YMJ't\?jE^s/)k]&
+&sAUTX_N=tiD7UR99cqk0XAp:3i\dS>bfmC8R"]CW-l'uX/hN?90Cmi;Du'PYjOBKnL2l-;!;]IAtr/u
+9NCMdK9#4t;N9I`]7&Y_nI+CR(M<`nVAQUNnSA7YReg.6)2pMT"9\H1LqE8scKJrd^i2S!q3*T.H\>Z!
+MU,Z[n%Hof2,Yb?(,qhSf7(Y=h9#UeanpLQRl!XfW1(D*,=A0.j`[,Q53Xk'\]YK!+)%M1/;4k@+*eQ?
+:f>\hc=4<i#Kg7%48)cGs1ZHm@#JUihdX,em+q&c6[las:]A9J]:n,=[ob7Q/=/jX(Z?EF@hJsqZX!sZ
+4ppR_o,I&pHXn7-&s-FP8JK:^ARc?AG/Y(f!b_e%./d3(1F<-M#EpR!n#p+35^?iP^bqJ^:^\VT+Ynni
+A.h-RQitDK)j:9)_'Gst0F?$9@hP0p.''c?Y"^6/Rr:t%\-/"G"n,h35\X^@J_dBR4.$-s"d@k()j?p1
+_'Gsf0F?s8[g:nsYLRB2+d2np)j;\U(\_;M5VneGL?>_SF0*oZb#ag*K$A+*UA,d*-39?`8O/'90aZbZ
+9Z$I&-@r`"NCa+W_'C`+/""7f4BNpiQpc3RM40/gJ^koo8(8\3MQ'I.!4oX#6q(?N*<N0-*F_Au(C+Om
+!g70F+b9,aLT#Z^B-!_D>PCXB<D?bC.a-.<nj:)lCX\J.lO[&u:uCOL^a\O[2&3;eN(0&?3^dAV6NFTo
+6U9'7FU4YOeKKHUe01J`NB.48hs(cgZ`[>5Dq6(>LU>STW`N>*LYtcn*?pU"Hf6g6g7o,YPd`[V7_PQ,
+!L0>L!<(&@LVR`/XUYrql431<GC6H@&]afOLS4*QFU5-sS8P<Ie0+lr*FcoT>AM_3.!M^ZE7CgR:nu*\
+5!RABR*SI,Q-4#e#gRRn6XZHhe04#h;29\:e?'2mf]j$q]=XuLW'bNoXUYBeU(1&nMTPE.:u1CJQsK$Y
+Fm,6ulYNFR2lf;FkNJ`0LsR[;&:pnm&X[\H`p^?6OmR0D\N/pdd,C!G`+Qg3/6.bE^-;8eMEIi+o"7n4
+n!KDVYa9V3M-$5d^Z=@D"VR])=3+eiLBQ*/Y&CPpQ)"A9NEq3,-]\1,HTc@OrKk7@M<^5JlQ_lXjKuR3
+fhb]'mbIs!4^1:N]"c()n(*Rrm2dmnJC`s&W.to]A7+m3*Y`l3C2Ehqb&IfE^:0`WfrAAYpMS>4Ba1iV
+;_o<[h-.O7YMd)u+M.jcb^294)>A$5]A:)=eE^]?DJbpt`HA/.lo@,9G-BJo)3X`3YaO+W0D;NaG1!e3
+f=`,"g@!bugV"Q1<O_7hA7N"F-F*t:n(l^<0%3"-)7tW`>m>P\eZ(K'AI?\fV;JmBX1%<,)pk^be\!'7
+[pp0pj%8+>Kj;66Mc!XL%ZQWTan2uf\)t<6[>K7hh@9&tg"DVDTl+nOmn[N-4<FFWm5$p_WnNS`g*?JO
+j3*n-IM(c-\FgV[U78*[[kbu^@:_Q,AoJ;(WtS&[$09ZZ>S6i&,T0P%,nWUR)n!L!Tb2o0oJQ?t]'b()
+3rH.5:Cd+&P<6F/b#*<%E/b9[^4pJ_p8#qimOQKk2QBp%1boI,p;NU'aZR=WF8iR$GLJ3S]4n4@QgM\U
+,MTAeRuM5a<=(N*is)5=or)[#LF0^<f&-U0f=C/Q9B4h&2Km0eeZq6L,P=-iIFqWY/El@D8b^E&Er37H
+&9PE=O,cN\ZlGL>hcj,=X4Gf^Q'H)*`S"jMJ"asoQ7\/`(Jn&FKFX#iAK=j6/3^&Iern2+]U:GI(hLu[
+f7!2\=BWtFR-RkV'ur#/V?$Gf>s5If4WF*YDH/Ll(s&^+NccuVW`lC^]%*q:TfOG^&Jhcm%Q4LfZ3"TR
+$@'#03jco`1c@maJu-lk_`8]un\(_KZi!s/:HNakp=RW:de^?>jum&nFdNV^E0Qsd,k%7uUC,e"4M2$:
+h*0nlGeY1^Z=AC8<9qLjgmD-#`o6c;r"XH_<dV:S-hdPSs2^23?l_V\Uq*bQ!/u+dYVA!Zfoi[ZSTn<g
+Ut@45j&Nt98ccrKRii+/N"e6[4gQ0r-A`R/TpA-nUsKF'7_ob$1+J*&<`TBHHSL2f#p'ka(\e"BlEH7\
+Ag![:Za_QHOH\[TOs6<'('j8mLhG/O=jNo-NJ$/"Yo-*L'+"%HJ[/"@%EH;ICCm8<X2QK]>P6=&d$J=G
+BJ$6(#4DOI*NIDmJlMhY\i+-HU9,s\p'rXdM,3D/og-._V-]8-hQi\^PpHF(OX)-D>P0"fFDa&>/,i`I
+eh\`OpDmo>04LR2@+g@MVp?^A"%A$nO]eW(,%=nHQ7Y""<"b5k6f27&ge?5/a\@ZWe!\8:5li^Tl8g2d
+Y%YLN.MsuakGiA]P@cE*",l'b-OLGKAGD?NP6NXc-B6m$4Vcg2oZ"ZVn0;_WK2*C6C[<=r,(V`*`1rnJ
+SLZ!t[fjh^(a[Ra>hPi6JamQ_X,KWQ<.tP\C3h39bcI8@9G/l+:`I;5B(ru#'DKLDZ``l#YKqTkffAAf
+QM><H^XM\DpWAWmb)uG`OloJE[_-f=5&.Mf36\Qdr`Zhc*LNoMoR:3:DqRNtdbFn"QHW(\]s&`L2ErEU
+7%7BEO3!$/V95n3*iNY29sI-tRBnGRb,mC*[-qk@72?''C\FF$5dfrLF.m*8IdlDpFCcY)EOE=F2EE$9
+DG6^A,P(W?*9l6TTICI;aSJ/cW+7)QZsb8-<l,1L-)6&NlSK^@WmUHd$s`/E'>5.@T#QX4-).A<,29"J
+[<L4#,\_&4%m;B$LHu]XAs]5(;OQ,?h8s+MW?q,^Ql)iCh3#[\@9X33>9JsC_C*nhhprV6<*7.J1j++4
+dV(sEW!oeA1Cm7RT!J!ZI,EAXD4,Q?M9L1k&%gqcRm,QklSBSGj0BYE=jFN.#9PB"+"7HpGi4RB<;tc1
+,;'Yu_Ipf`@V"0QEEA"iDVVMoM68M9hM!n:^[K*^Mu2AG_%HF=hhgrJ2f<Po+8N!Sq$^+Q>30XGj#G++
+a'"H45ZK$;Hoji_?dqWNYmYO.4Ora3Q-4&/*G=82n>&R2at:TG6UsSph_3T[1jr9p<MZ#e<DmaHYfDr2
+TjMgj.mlKM$gOFJU!QlGcUOQ!RB#%R#9D?sU`-cIGPgrKgjc;H2i_-'*CCT[WH2Q-d39?teiR:[^G8;k
+rp.31c9.7L=u.kV<tkO(A;h+@28eYe0PY=EJlSSoQ-#K6qr5/NgOn[dGS7V_hrJP2fLOIb2:op3lYG-b
+@o(fP:%#<>Np9YCNSK,tI4]q^nM7:Mc:jHQ[M828/:9DFYtQ.BS<4rc*kQZbrPV?XLT<Q-(;&Tgr/B`b
+`,a^Eq8-Q&0.*AGN7;]DibaoqIY0R+_*`o3M8iM_SOr=Q[Chk0?Rj3V8`10=9VTm6Fs_bdFsb&Z?$7Qg
+a/?5^(4p9UM09IKP;!\EK%QFnc]<?+$%-EkQir<gGqfUF31ML0I<&g1f[:P]OBjq$-3<*D9EMhm5&3gn
+'Z-9VAE$`c_XPPjDT/G48'-Z\N(RW+0<)X;8[((!"Md+B`l,,mhJ.3?-@nV<R7(+L(mA?C0F:+_,`%(E
+9O/*;'">#Y0F8`SSOkXZJ/4?!S*WhC:\C<boF3-5rIRW1l6JHTaP\Ro0o6VU+&!k#9HnCK!rb/dBs0l0
+P=])9@*2'A%WMS>*MW/56*EXtGY7Nf6m+Q-)icr^5Fo&?"F4*QFU7QOjE1aB4-mP-^dEA#lO\="E)e?M
+p,+M?9>XP]crX&lW^Cks6^]K3_d%<i_cn.UFlI0!`^GKEJQspP2EhUWW:`2>db.a!+mVWX>9.2(eQPr4
+m.#!T6li!<@]MkT6&Snn+kl2mL91s5Feu[DHkAdfiiZPJBsiO\FK<,%OI_5dj0+0G\jP^D0'Ze@LS,]t
+f,!^Ub<3Ec9WJZN'9Vr6g?K6(MmcZZ?krU(BraUC`ECM&GS,D+m$A^Vr+9-7M(dY2*?oLRpGrF`Dm_V/
+I%h0TV95Crc4,TC%cP)Ghncq;%Zs`.XU`0eX:E(6:*[&OXcA>`p=3>dAkZNdBY(KR*TFN\<CSN@b3BOm
+U(1Tkl4A#@.;$3!l4?ZSh2=>4XfFQA"0[+DOepL2f;F&#B36MI4*ocBQO-7S@%-4hBKrcqpNe>rUb9X#
+eq>WTj0-6k6H@$:38"V\qk)NoKkkd>mpGn1^_:(Us3gXo';ZqCVu9j[Z*Ycgfk+@hIg*hp2ObLTg3MW%
+:I[4QAbs1`%2[B)HB,gDE.Mfp#/U%1:*`"3e74Ot'RV00l(poQQ[4j+BgMJ6'l<,mMiO[Y?:MbXp<sV6
+[A3ST6*P%ReP#!D,O)Me.7!T]=no7lAXa'P9P&)#.bI4R1*h]O6Pb7IC?:?ofOT_;R6(5B/$E4_RnhNj
+Juh&BS?%#(H\*nX^<:V3Leg*LQ^PX3War@X2]:^`67BCdbdGW%j1(uT1-g86N\I9@b\4&BeLX7k[qEkj
+(>,-Y-J39Zc,-dL:V=g+!\Ja4bA,g8@p>N=P]CrX".qGXSs]qid%Zk@2"X.>e(7F_lHu&>2\+=jkFb?g
+26-YF>io$Pjjm_NZZ"<OpCSJh;8m(P7?q;b)W6>YDc@63:JJm2FNA/j5<dA=.1bF)SK[$8.FNt=&\.eZ
+Tl6VBeg.E.nPWD=gC8NdP$G/cMpgB*;4U#gICr5uTmg(VS_kBDr@_@I:;WX1=6i1*?`fAd\RU:^qG,,[
+=0^)+:W?'WGI%BA%4g[)$?!]9^03C-]M$Jm9>:NEI_or%@[umu:Rs/^]f8P^og58.),k]'_e2mUD?+dt
+9ogHW'38kL<PNgB;="_4]C@JuGrIAATPM[(A3lR&C=,i$XY4!%(?t*/Hi[?JJ<%J_>rNf!G)&W?h4D+B
+Q7;2r3:^b52mTMbhqc1FX]E9n<mK5SipinFo(,>c<#l[t/WVgd?GA&7daqZ#[P%F9Qooe.E>'PdI,"H4
+<R]$anAMWo;7rF`XV["+33\Y6fhP#IS)5.$j"K4a.M!Q08/PDNrFfR8Wa1A8!q:)t+*p:,k)E<5k8)j4
+B?_!D*'k2Hbqe<uA<m,%>"S@Dr\4NO)5!FC<0'o(&P]Wu`VQ8'qsMcp5HC'AH)IaVoDeh\9OoTXXR518
+J,Sd3hsko$?@S.<rMP.s+,YGppTIq0l7]/7o[s/OaPT?S5@jDAN./k3:He>eJ>L<,gB(T?V+3TH:5XJU
+[Uf#cN./imriMGQO8R?L++!"'*p&J\*\tk]UHE*-F"*0\P[c?-0pd4M;'1,66]_)jUE4a2LE?-8UH\<`
+LE>iV7m$?V%mAX?7sjII%R&N5O+-<?++!QHO8dMDs,Kk8PM2B-2]hRQ@3RjN4oUHs`Z\hSA;imqGfWu7
+*L3n%F?[u6+_0is1<(JI4CjC<`].Pj6]_/l,9M6mLE?9<,<thALE?8ba1Bqj0tDehCjk)]D<l5b=LX/;
+UH[g<O1Ec\>jA"QIHXN=4glD]GZQtNX`IQ*G<Od4r[e*J?Z/9`LB~>
+endstream
+endobj
+
+8 0 obj
+   7425
+endobj
+
+3 0 obj
+   << 
+      /Parent null
+      /Type /Pages
+      /MediaBox [0.0000 0.0000 376.00 292.00]
+      /Resources 9 0 R
+      /Kids [6 0 R]
+      /Count 1
+   >>
+endobj
+
+10 0 obj
+   [/PDF /Text /ImageC]
+endobj
+
+11 0 obj
+   << 
+      /Alpha1
+      << 
+         /ca 1.0000
+         /CA 1.0000
+         /BM /Normal
+         /AIS false
+      >>
+   >>
+endobj
+
+9 0 obj
+   << 
+      /ProcSet 10 0 R
+      /ExtGState 11 0 R
+   >>
+endobj
+
+4 0 obj
+   << 
+      /Type /Outlines
+      /First 12 0 R
+      /Last 12 0 R
+   >>
+endobj
+
+12 0 obj
+   << 
+      /Parent 4 0 R
+      /Title (Page 1 \(untitled\))
+      /Prev null
+      /Next null
+      /Dest [6 0 R /Fit]
+   >>
+endobj
+
+xref
+0 13
+0000000000 65535 f\r
+0000000016 00000 n\r
+0000000327 00000 n\r
+0000008235 00000 n\r
+0000008666 00000 n\r
+0000000509 00000 n\r
+0000000586 00000 n\r
+0000000675 00000 n\r
+0000008211 00000 n\r
+0000008591 00000 n\r
+0000008406 00000 n\r
+0000008447 00000 n\r
+0000008756 00000 n\r
+
+trailer
+<< 
+   /Size 12
+   /Root 2 0 R
+   /Info 1 0 R
+>>
+
+startxref
+8900
+
+%%EOF
index 05d69ca..1731501 100644 (file)
@@ -1,3 +1,8 @@
+\input{../../header_beamer.tex}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Dérivées}
+
 \newcommand\consigne{Calculer la dérivée des fonctions suivantes
 
 \bigskip}
 
 %%%%%%%%%%%%%%%
 
+
 \begin{document}
-\slide{Dérivées}
+\slide{\titre}
 
 \slide{\consigne
 
-1)
-
-\qa
+\begin{enumerate}[1)]
+\item \qa
+\end{enumerate}
 }
 
 \slide{\consigne
 
-2)
-
-\qb
+\begin{enumerate}[1)]
+\setcounter{enumi}{1}
+\item \qb
+\end{enumerate}
 }
 \slide{\consigne
 
-3)
-
-\qc
+\begin{enumerate}[1)]
+\setcounter{enumi}{2}
+\item \qc
+\end{enumerate}
 }
 
 \slide{\consigne
 
-4)
-
-\qd
+\begin{enumerate}[1)]
+\setcounter{enumi}{3}
+\item \qd
+\end{enumerate}
 }
 \slide{\consigne
 
-5)
-
-\qe
+\begin{enumerate}[1)]
+\setcounter{enumi}{4}
+\item \qe
+\end{enumerate}
 }
 
 \slide{\consigne
@@ -58,4 +68,7 @@
 \item \qd~\reponse{5}{\rd}
 \item \qe~\reponse{6}{\re}
 \end{enumerate}
+
+
 }
+\end{document}
diff --git a/2nde/calcul_mental/stats2.pdf b/2nde/calcul_mental/stats2.pdf
new file mode 100644 (file)
index 0000000..3cd177e
Binary files /dev/null and b/2nde/calcul_mental/stats2.pdf differ
diff --git a/2nde/calcul_mental/stats2.tex b/2nde/calcul_mental/stats2.tex
new file mode 100644 (file)
index 0000000..fcc69c0
--- /dev/null
@@ -0,0 +1,87 @@
+\input{../../header_beamer.tex}
+%%%%%%%%%%%% partie à modifier
+
+\newcommand\titre{Statistiques}
+
+\newcommand\consigne{
+\begin{tabular}{|c|c|c|c|c|}
+\hline
+Valeur & 58 & 59 & 60 & 61\\
+\hline
+Effectif & 3 & 4 & 1 & 1\\
+\hline
+\end{tabular}
+
+\bigskip}
+\newcommand\qa{Quel est l'effectif total ?}
+\newcommand\ra{9}
+\newcommand\qb{Calculer les effectifs cumulés croissants.}
+\newcommand\rb{\begin{tabular}{|c|c|c|c|c|}
+\hline
+Valeur & 58 & 59 & 60 & 61\\
+\hline
+ECC & 3 & 7 & 8 & 9\\
+\hline
+\end{tabular}}
+\newcommand\qc{Quelle est la médiane de la série ?}
+\newcommand\rc{59}
+\newcommand\qd{Quelle est l'étendue de la série ?}
+\newcommand\rd{$61-58 = 3$}
+\newcommand\qe{Écrire le calcul de la moyenne.}
+\newcommand\re{\[\frac{58 \times 3 + 59 \times 4 + 60 \times 1 + 61 \times 1}{9}\]}
+
+%%%%%%%%%%%%%%%
+
+
+\begin{document}
+\slide{\titre}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\item \qa
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{1}
+\item \qb
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{2}
+\item \qc
+\end{enumerate}
+}
+
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{3}
+\item \qd
+\end{enumerate}
+}
+\slide{\consigne
+
+\begin{enumerate}[1)]
+\setcounter{enumi}{4}
+\item \qe
+\end{enumerate}
+}
+
+\slide{\consigne
+\begin{enumerate}[1)]
+\item \qa~\reponse{2}{\ra}
+\item \qb~\reponse{3}{\rb}
+\item \qc~\reponse{4}{\rc}
+\item \qd~\reponse{5}{\rd}
+\item \qe~\reponse{6}{\re}
+\end{enumerate}
+
+
+}
+\end{document}
diff --git a/2nde/calcul_mental/tableauxsigne.tex.save b/2nde/calcul_mental/tableauxsigne.tex.save
new file mode 100644 (file)
index 0000000..c890139
--- /dev/null
@@ -0,0 +1,114 @@
+
+\input{../../header_beamer.tex}
+\usepackage{adjustbox}
+
+\newcommand\consigne{Compléter les tableaux de signe suivants
+
+\bigskip}
+\newcommand\qa{\variations
+x & \mI & \qquad  & 3 &  \qquad & \pI \\
+x - 3 & \\
+\fin
+}
+\newcommand\ra{\variations
+x & \mI & & 3 & & \pI \\
+x - 3 & \ga- & \z & \dr+\\
+\fin}
+\newcommand\qb{\variations
+x & \mI & & \hspace{2cm} & & \pI \\
+-6x +1 & & & \z & & \\
+\fin}
+\newcommand\rb{\variations
+x & \mI & & \frac{1}{6} & & \pI \\
+-6x +1 & \ga+ & \z & \dr- \\
+\fin}
+\newcommand\qc{\variations
+x & \mI & & -2 & & 3 & & \pI \\
+A(x) & \ga- & \l & - & \z & \dr+ \\
+B(x) & \ga+ & \z & - & \l & \dr- \\
+A(x)B(x) & \\
+\fin}
+\newcommand\rc{\variations
+x & \mI & & -2 & & 3 & & \pI \\
+A(x) & \ga- & \l & - & \z & \dr+ \\
+B(x) & \ga+ & \z & - & \l & \dr- \\
+A(x)B(x) & \ga- & \z & + & \z & \dr- \\
+\fin}
+\newcommand\qd{\variations
+x & \mI & & -\frac{1}{3} & & 7 & & \pI \\
+C(x) & \ga+ & \z & - & \l & \dr- \\
+D(x) & \ga+ & \l & + & \z & \dr- \\
+C(x)D(x) & \\
+\fin}
+\newcommand\rd{\variations
+x & \mI & & -\frac{1}{3} & & 7 & & \pI \\
+C(x) & \ga+ & \z & - & \l & \dr- \\
+D(x) & \ga+ & \l & + & \z & \dr- \\
+C(x)D(x) & \ga+ & \z & - & \dr+ \\
+\fin}
+\newcommand\qe{\variations
+x & \mI & & -1 & & 0 & & 4 \\
+E(x) & \ga- & \z & + & \z & - & \l & \dr- \\
+F(x) & \ga- & \l & - & \l & - & \z & \dr+ \\
+E(x)F(x) & \\
+\fin
+}
+\newcommand\re{\variations
+x & \mI & & -1 & & 0 & & 4 \\
+E(x) & \ga- & \z & + & \z & - & \l & \dr- \\
+F(x) & \ga- & \l & - & \l & - & \z & \dr+ \\
+E(x)F(x) & \ga+ & \z & - & \z & + & \z & \dr-\\
+\fin}
+
+%%%%%%%%%%%%%%%
+
+\begin{document}
+\slide{Tableaux de signe}
+
+\slide{\consigne
+
+1)
+
+\qa
+}
+
+\slide{\consigne
+
+2)
+
+\qb
+}
+\slide{\consigne
+
+3)
+
+\qc
+}
+
+\slide{\consigne
+
+4)
+
+\qd
+}
+\slide{\consigne
+
+5)
+
+\qe
+}
+
+\slide{
+%\consigne
+\begin{adjustbox}{height=4.5cm,keepaspectratio}
+\begin{minipage}{10cm}\begin{enumerate}[1)]
+\item \only<1>{\qa}\uncover<2->{\rouge{\ra}}
+\item \only<-2>{\qb}\uncover<3->{\rouge{\rb}}%
+\item \only<-3>{\qc}\uncover<4->{\rouge{\rc}}
+\item \only<-4>{\qd}\uncover<5->{\rouge{\rd}}%
+\item \only<-5>{\qe}\uncover<6->{\rouge{\re}}
+\end{enumerate}
+\end{minipage}
+\end{adjustbox}
+}
+\end{document}
diff --git a/2nde/calcul_mental/tableauxsigne.tex.save.1 b/2nde/calcul_mental/tableauxsigne.tex.save.1
new file mode 100644 (file)
index 0000000..c890139
--- /dev/null
@@ -0,0 +1,114 @@
+
+\input{../../header_beamer.tex}
+\usepackage{adjustbox}
+
+\newcommand\consigne{Compléter les tableaux de signe suivants
+
+\bigskip}
+\newcommand\qa{\variations
+x & \mI & \qquad  & 3 &  \qquad & \pI \\
+x - 3 & \\
+\fin
+}
+\newcommand\ra{\variations
+x & \mI & & 3 & & \pI \\
+x - 3 & \ga- & \z & \dr+\\
+\fin}
+\newcommand\qb{\variations
+x & \mI & & \hspace{2cm} & & \pI \\
+-6x +1 & & & \z & & \\
+\fin}
+\newcommand\rb{\variations
+x & \mI & & \frac{1}{6} & & \pI \\
+-6x +1 & \ga+ & \z & \dr- \\
+\fin}
+\newcommand\qc{\variations
+x & \mI & & -2 & & 3 & & \pI \\
+A(x) & \ga- & \l & - & \z & \dr+ \\
+B(x) & \ga+ & \z & - & \l & \dr- \\
+A(x)B(x) & \\
+\fin}
+\newcommand\rc{\variations
+x & \mI & & -2 & & 3 & & \pI \\
+A(x) & \ga- & \l & - & \z & \dr+ \\
+B(x) & \ga+ & \z & - & \l & \dr- \\
+A(x)B(x) & \ga- & \z & + & \z & \dr- \\
+\fin}
+\newcommand\qd{\variations
+x & \mI & & -\frac{1}{3} & & 7 & & \pI \\
+C(x) & \ga+ & \z & - & \l & \dr- \\
+D(x) & \ga+ & \l & + & \z & \dr- \\
+C(x)D(x) & \\
+\fin}
+\newcommand\rd{\variations
+x & \mI & & -\frac{1}{3} & & 7 & & \pI \\
+C(x) & \ga+ & \z & - & \l & \dr- \\
+D(x) & \ga+ & \l & + & \z & \dr- \\
+C(x)D(x) & \ga+ & \z & - & \dr+ \\
+\fin}
+\newcommand\qe{\variations
+x & \mI & & -1 & & 0 & & 4 \\
+E(x) & \ga- & \z & + & \z & - & \l & \dr- \\
+F(x) & \ga- & \l & - & \l & - & \z & \dr+ \\
+E(x)F(x) & \\
+\fin
+}
+\newcommand\re{\variations
+x & \mI & & -1 & & 0 & & 4 \\
+E(x) & \ga- & \z & + & \z & - & \l & \dr- \\
+F(x) & \ga- & \l & - & \l & - & \z & \dr+ \\
+E(x)F(x) & \ga+ & \z & - & \z & + & \z & \dr-\\
+\fin}
+
+%%%%%%%%%%%%%%%
+
+\begin{document}
+\slide{Tableaux de signe}
+
+\slide{\consigne
+
+1)
+
+\qa
+}
+
+\slide{\consigne
+
+2)
+
+\qb
+}
+\slide{\consigne
+
+3)
+
+\qc
+}
+
+\slide{\consigne
+
+4)
+
+\qd
+}
+\slide{\consigne
+
+5)
+
+\qe
+}
+
+\slide{
+%\consigne
+\begin{adjustbox}{height=4.5cm,keepaspectratio}
+\begin{minipage}{10cm}\begin{enumerate}[1)]
+\item \only<1>{\qa}\uncover<2->{\rouge{\ra}}
+\item \only<-2>{\qb}\uncover<3->{\rouge{\rb}}%
+\item \only<-3>{\qc}\uncover<4->{\rouge{\rc}}
+\item \only<-4>{\qd}\uncover<5->{\rouge{\rd}}%
+\item \only<-5>{\qe}\uncover<6->{\rouge{\re}}
+\end{enumerate}
+\end{minipage}
+\end{adjustbox}
+}
+\end{document}