calculs mentaux et cie
authorDenise sur Lya <sekhmet@lya>
Thu, 4 Feb 2016 22:06:27 +0000 (23:06 +0100)
committerDenise sur Lya <sekhmet@lya>
Thu, 4 Feb 2016 22:06:27 +0000 (23:06 +0100)
27 files changed:
1ere/calcul_mental/variations3.pdf [new file with mode: 0644]
1ere/calcul_mental/variations3.tex [new file with mode: 0644]
2nde/DST_5/dst5.tex
2nde/DST_5/dst5_corrige.pdf
2nde/DST_5/dst5_corrige_annexe.pdf [new file with mode: 0644]
2nde/DST_5/dst5_enonce.pdf
2nde/calcul_mental/affine_1.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_1.svg [new file with mode: 0644]
2nde/calcul_mental/affine_2.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_2.svg [new file with mode: 0644]
2nde/calcul_mental/affine_3.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_3.svg [new file with mode: 0644]
2nde/calcul_mental/affine_4.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_4.svg [new file with mode: 0644]
2nde/calcul_mental/affine_5.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_5.svg [new file with mode: 0644]
2nde/calcul_mental/affine_6.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_6.svg [new file with mode: 0644]
2nde/calcul_mental/affine_ab.pdf [new file with mode: 0644]
2nde/calcul_mental/affine_ab.tex [new file with mode: 0644]
2nde/chapitre6_fct_affines/act_signe.pdf [new file with mode: 0644]
2nde/chapitre6_fct_affines/act_signe.tex [new file with mode: 0644]
2nde/chapitre6_fct_affines/act_signe_2pages.pdf [new file with mode: 0644]
2nde/chapitre6_fct_affines/chap6.pdf
2nde/chapitre6_fct_affines/chap6.tex
2nde/chapitre6_fct_affines/chap6_page3.pdf [new file with mode: 0644]
inscriptions_kangourou

diff --git a/1ere/calcul_mental/variations3.pdf b/1ere/calcul_mental/variations3.pdf
new file mode 100644 (file)
index 0000000..9f71f9c
Binary files /dev/null and b/1ere/calcul_mental/variations3.pdf differ
diff --git a/1ere/calcul_mental/variations3.tex b/1ere/calcul_mental/variations3.tex
new file mode 100644 (file)
index 0000000..346953c
--- /dev/null
@@ -0,0 +1,59 @@
+\input{../../header_beamer.tex}
+
+\begin{document}
+
+\slide{Lire un tableau de variations}
+
+\newcommand\tableau{
+
+\noindent\scalebox{0.85}{\variations
+x & -4 & & -2 & & 1 & & 2 & & 6 & & 10\\
+f(x) & \h{5} & \dh & 0 & \db & \b{-3/2} & \cb & 0 & \ch & \h{3} & \d & \b{1} \\
+\fin}
+
+}
+
+\slide{\tableau
+
+1) Quel est le minimum de $f$ sur $[-4; -2]$ et où est-il atteint ?
+}
+
+\slide{\tableau
+
+2) Quel est le maximum de $f$ sur son ensemble de définition, et où est-il atteint ?
+
+}
+
+\slide{\tableau
+
+3) Comparer $f(-3)$ et $f(0)$ (avec la justification, même brève).
+
+}
+
+\slide{\tableau
+
+4) Peut-on comparer $f(1)$ et $f(7)$ ? Justifier rapidement.
+
+
+}
+
+\slide{\tableau
+
+5) Établir le tableau de signes de $f$.
+
+}
+
+\slide{\tableau
+
+\begin{enumerate}
+\item Quel est le minimum de $f$ sur $[-4; -2]$ et où est-il atteint ?
+\item Quel est le maximum de $f$ sur son ensemble de définition, et où est-il atteint ?
+\item Comparer $f(-3)$ et $f(0)$.
+\item Peut-on comparer $f(1)$ et $f(7)$ ? Justifier rapidement.
+\item Établir le tableau de signes de $f$.
+\end{enumerate}
+
+
+}
+
+\end{document}
index 85f9cf15d763d1bc4b880724505f337121b59b95..3f6ed9e1e5f7816e8acb8ce54e02fffb2a65fa42 100644 (file)
@@ -137,9 +137,9 @@ f(x) & \b{~} & \c & \h{1} & \d & \b0 & \c & \h{3} \\
 \item On donne maintenant une nouvelle information sur $f$ : $f(-6) = 0$. Étudier le signe de $f$ sur son ensemble de définition.% (rappel : cela signifie indiquer sur quels ensembles $f$ est positive, négative et nulle). 
 \reponse{
 
-$f(x) >0$ pour $x \in]-6; 1[ \cup ]1; 2[$.
+$f(x) >0$ pour $x \in]-6; 1[ \cup ]1; 2]$.
 
-$f(x) <0$ pour $x \in ]-\infty[; -6[$.
+$f(x) <0$ pour $x \in ]-\infty; -6[$.
 
 $f(x) = 0$ pour $x \in \{-6; 1 \}$}
 \bareme{1,5} 
@@ -166,7 +166,7 @@ Suite à un devoir de mathématique dans une classe, le professeur réalise le d
 \item Quelle est l'étendue des notes ? \bareme{0,5} \reponse{L'étendue est $19-4 = 15$}
 \item Quel est l'écart interquartile ? \bareme{0,5} \reponse{L'écart interquartile est $12-9 = 3$}
 \item Quel pourcentage d'élèves, environ, a une note se situant entre 9 et 12 ? \bareme{0,5} \reponse{Environ $50 ~\%$ des élèves ont une note entre 9 et 12 (rappel : on sait qu'environ 50 \% des effectifs se situent dans l'intervalle interquartile).}
-\item Est-il possible que la moyenne soit égale à 15 ? Argumenter. \bareme{1} \reponse{Ce n'est pas possible, la moyenne ne peut pas être aussi élevée. En effet, comme $Q_3 = 12$, on sait que les trois quarts des élèves ont une notre inférieure ou égale à 12. Comme la note maximale est 19, au mieux un quart des élèves a eu 19. 
+\item Est-il possible que la moyenne soit égale à 15 ? Argumenter. \bareme{1} \reponse{Ce n'est pas possible, la moyenne ne peut pas être aussi élevée. En effet, comme $Q_3 = 12$, on sait que les trois quarts des élèves a eu une notre inférieure ou égale à 12. Comme la note maximale est 19, au mieux un quart des élèves a eu 19. 
 
 Cela donnerait, au maximum, une moyenne de $12\times 0,75 + 19 \times 0,25 = 13,75$, donc on ne peut pas avoir 15.
 }
@@ -180,6 +180,6 @@ Cela donnerait, au maximum, une moyenne de $12\times 0,75 + 19 \times 0,25 = 13,
 
 On considère une pyramide régulière à base carrée. Le côté du carré mesure 1, et sa hauteur mesure également~1. Quelle est l'aire de cette pyramide ?
 
-\reponse{$\sqrt 5 + 1 \simeq 3,24$}
+\reponse{$\sqrt 5 + 1 \simeq 3,24$. Faire une figure pour constater que si la pyramide a pour hauteur 1, la hauteur du triangle qui forme son "côté" n'est pas 1...}
 
 \end{document}
index 23ef7e64fc39c063c76a16e26a257374c679922e..8770cb2d73586dc67dba8df69eb70b937c3ecdba 100644 (file)
Binary files a/2nde/DST_5/dst5_corrige.pdf and b/2nde/DST_5/dst5_corrige.pdf differ
diff --git a/2nde/DST_5/dst5_corrige_annexe.pdf b/2nde/DST_5/dst5_corrige_annexe.pdf
new file mode 100644 (file)
index 0000000..ec9f225
Binary files /dev/null and b/2nde/DST_5/dst5_corrige_annexe.pdf differ
index 0d7da65b246c1597f87cdfc20c6299f85ed4e9d6..bb3d6fbbad40b61a82883baa40d73cba7ce5f50c 100644 (file)
Binary files a/2nde/DST_5/dst5_enonce.pdf and b/2nde/DST_5/dst5_enonce.pdf differ
diff --git a/2nde/calcul_mental/affine_1.pdf b/2nde/calcul_mental/affine_1.pdf
new file mode 100644 (file)
index 0000000..f3090b8
Binary files /dev/null and b/2nde/calcul_mental/affine_1.pdf differ
diff --git a/2nde/calcul_mental/affine_1.svg b/2nde/calcul_mental/affine_1.svg
new file mode 100644 (file)
index 0000000..f54ff27
--- /dev/null
@@ -0,0 +1,174 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_1.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     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="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 275,582.36218 180,-140"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_2.pdf b/2nde/calcul_mental/affine_2.pdf
new file mode 100644 (file)
index 0000000..3a3d4ae
Binary files /dev/null and b/2nde/calcul_mental/affine_2.pdf differ
diff --git a/2nde/calcul_mental/affine_2.svg b/2nde/calcul_mental/affine_2.svg
new file mode 100644 (file)
index 0000000..8814dad
--- /dev/null
@@ -0,0 +1,176 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_1.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0"
+     showguides="true"
+     inkscape:guide-bbox="true">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 275,567.36218 195,0"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_3.pdf b/2nde/calcul_mental/affine_3.pdf
new file mode 100644 (file)
index 0000000..532559e
Binary files /dev/null and b/2nde/calcul_mental/affine_3.pdf differ
diff --git a/2nde/calcul_mental/affine_3.svg b/2nde/calcul_mental/affine_3.svg
new file mode 100644 (file)
index 0000000..2206196
--- /dev/null
@@ -0,0 +1,176 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_23.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0"
+     showguides="true"
+     inkscape:guide-bbox="true">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 285,467.36218 185,100"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_4.pdf b/2nde/calcul_mental/affine_4.pdf
new file mode 100644 (file)
index 0000000..b8ba6cd
Binary files /dev/null and b/2nde/calcul_mental/affine_4.pdf differ
diff --git a/2nde/calcul_mental/affine_4.svg b/2nde/calcul_mental/affine_4.svg
new file mode 100644 (file)
index 0000000..e86a655
--- /dev/null
@@ -0,0 +1,176 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_3.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0"
+     showguides="true"
+     inkscape:guide-bbox="true">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 285,467.36218 160,140"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_5.pdf b/2nde/calcul_mental/affine_5.pdf
new file mode 100644 (file)
index 0000000..dce808d
Binary files /dev/null and b/2nde/calcul_mental/affine_5.pdf differ
diff --git a/2nde/calcul_mental/affine_5.svg b/2nde/calcul_mental/affine_5.svg
new file mode 100644 (file)
index 0000000..57534c5
--- /dev/null
@@ -0,0 +1,176 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_4.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0"
+     showguides="true"
+     inkscape:guide-bbox="true">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 275,542.36218 190,0"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_6.pdf b/2nde/calcul_mental/affine_6.pdf
new file mode 100644 (file)
index 0000000..a62f467
Binary files /dev/null and b/2nde/calcul_mental/affine_6.pdf differ
diff --git a/2nde/calcul_mental/affine_6.svg b/2nde/calcul_mental/affine_6.svg
new file mode 100644 (file)
index 0000000..e3bfc29
--- /dev/null
@@ -0,0 +1,176 @@
+<?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="208.64911"
+   height="183.64911"
+   id="svg2"
+   version="1.1"
+   inkscape:version="0.48.3.1 r9886"
+   sodipodi:docname="affine_5.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="117.3702"
+     inkscape:cy="70.797047"
+     inkscape:document-units="px"
+     inkscape:current-layer="layer1"
+     showgrid="true"
+     inkscape:window-width="1400"
+     inkscape:window-height="966"
+     inkscape:window-x="0"
+     inkscape:window-y="29"
+     inkscape:window-maximized="1"
+     fit-margin-top="0"
+     fit-margin-left="0"
+     fit-margin-right="0"
+     fit-margin-bottom="0"
+     showguides="true"
+     inkscape:guide-bbox="true">
+    <inkscape:grid
+       type="xygrid"
+       id="grid2985"
+       empspacing="5"
+       visible="true"
+       enabled="true"
+       snapvisiblegridlinesonly="true"
+       originx="-268.9999px"
+       originy="-428.9999px" />
+  </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(-268.9999,-439.71317)">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:2.00020003;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 270,542.36218 205,0"
+       id="path3927"
+       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-opacity:1;stroke-dasharray:none;marker-end:url(#Arrow2Mend)"
+       d="m 369.99996,622.36218 0,-180"
+       id="path3927-8"
+       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 390,547.36218 0,-10"
+       id="path4607"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:12px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="355"
+       y="557.36218"
+       id="text4627"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4629"
+         x="355"
+         y="557.36218">O</tspan></text>
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="360"
+       y="527.36218"
+       id="text4631"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633"
+         x="360"
+         y="527.36218">J</tspan></text>
+    <path
+       style="fill:none;stroke:#000000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 365,522.36218 10,0"
+       id="path4607-2"
+       inkscape:connector-curvature="0" />
+    <text
+       xml:space="preserve"
+       style="font-size:11px;font-style:normal;font-weight:normal;line-height:125%;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;font-family:Sans"
+       x="390"
+       y="557.36218"
+       id="text4631-1"
+       sodipodi:linespacing="125%"><tspan
+         sodipodi:role="line"
+         id="tspan4633-4"
+         x="390"
+         y="557.36218">I</tspan></text>
+    <path
+       style="fill:none;stroke:#d30000;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 275,577.36218 195,-45"
+       id="path3054"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="cc" />
+  </g>
+</svg>
diff --git a/2nde/calcul_mental/affine_ab.pdf b/2nde/calcul_mental/affine_ab.pdf
new file mode 100644 (file)
index 0000000..3502713
Binary files /dev/null and b/2nde/calcul_mental/affine_ab.pdf differ
diff --git a/2nde/calcul_mental/affine_ab.tex b/2nde/calcul_mental/affine_ab.tex
new file mode 100644 (file)
index 0000000..b3e388d
--- /dev/null
@@ -0,0 +1,54 @@
+\input{../../header_beamer.tex}
+
+\newcommand\image[1]{\includegraphics[width=8cm]{#1}}
+\newcommand\imagep[1]{\includegraphics[width=3.5cm]{#1}}
+\begin{document}
+
+\slide{Fonctions affines et représentation graphique
+
+Pour chacune des droites représentant des fonctions affines de la forme $f(x) = ax+b$, donner
+\begin{itemize2}
+\item le signe de $a$,
+\item le signe de $b$.
+\end{itemize2}}
+
+\slide{1)
+
+\image{affine_1.pdf}
+
+}
+
+\slide{2)
+
+\image{affine_2.pdf}
+
+}
+
+\slide{3)
+
+\image{affine_3.pdf}
+
+}
+
+\slide{4)
+
+\image{affine_4.pdf}
+
+}
+
+\slide{5)
+
+\image{affine_5.pdf}
+
+}
+
+
+\slide{\noindent\imagep{affine_1.pdf} ~ \imagep{affine_2.pdf} ~ \imagep{affine_3.pdf}
+
+\imagep{affine_4.pdf} ~ \imagep{affine_5.pdf}
+
+}
+
+
+
+\end{document}
diff --git a/2nde/chapitre6_fct_affines/act_signe.pdf b/2nde/chapitre6_fct_affines/act_signe.pdf
new file mode 100644 (file)
index 0000000..b75cc46
Binary files /dev/null and b/2nde/chapitre6_fct_affines/act_signe.pdf differ
diff --git a/2nde/chapitre6_fct_affines/act_signe.tex b/2nde/chapitre6_fct_affines/act_signe.tex
new file mode 100644 (file)
index 0000000..00072c6
--- /dev/null
@@ -0,0 +1,21 @@
+\input{../../header_a5.tex}
+
+\begin{document}
+\exo{Signe d'une fonction affine}
+On cherche à étudier le signe des fonctions affines $f$, $g$ et $h$ suivantes :
+\[ f(x) = 2x + 1 \qquad g(x) = \frac{1}{2}x -2 \qquad h(x) = -x + 3 \]
+
+\begin{enumerate}
+\item Tracer les droites représentatives de ces fonctions dans le repère ci-dessous.\\
+\includegraphics[width=10.5cm]{repere.pdf}
+\item À l'aide du graphique, étudier le signe de $f$ (donner sur quels ensembles $f$ est strictement positive, négative ou nulle).
+\item Résoudre les inéquations $f(x) >0$, et $f(x) <0$, puis vérifier qu'on obtient bien les mêmes résultats qu'à la question précédente.
+\item Étudier le signe de $g$ et de $h$, en utilisant, au choix, la méthode graphique ou la méthode par le calcul.
+\end{enumerate}
+
+\exo{* Cas général}
+On considère une fonction affine $f$ définie par $f(x) = ax+b$. Étudier son signe, en fonction de $a$ et de $b$. Indication : séparer les trois cas, $a>0$, $a<0$ et $a=0$.
+
+\end{document}
+
+
diff --git a/2nde/chapitre6_fct_affines/act_signe_2pages.pdf b/2nde/chapitre6_fct_affines/act_signe_2pages.pdf
new file mode 100644 (file)
index 0000000..0476a0c
Binary files /dev/null and b/2nde/chapitre6_fct_affines/act_signe_2pages.pdf differ
index 32bb9d0c2587748577a4611916636ce534b1ce23..43e05e29aa245d7eb1f0ede9c71515632b104771 100644 (file)
Binary files a/2nde/chapitre6_fct_affines/chap6.pdf and b/2nde/chapitre6_fct_affines/chap6.pdf differ
index 390fb1765b03a68ef0fd5d2bf6d72e1801291be9..4b596767c94c9125e8df10dbb01384d1ac3dd060 100644 (file)
@@ -108,5 +108,72 @@ Si $a>0$, & Si $a<0$, & Si $a=0$, \vspace{7cm} \\
 \end{tabular}
 
 \end{proof}
+\newpage
+
+\begin{prop}
+Soit $f$ une fonction affine définie par $f(x) = ax+b$.
+\begin{itemize2}
+\item Si $a>0$, alors \begin{tabular}{l}
+  $f(x) >0$ pour $x \in $ \dotfill \\
+  $f(x) <0$ pour $x \in $ \dotfill \\
+  $f(x) = 0$ pour
+ $x = \dotfill$
+  \end{tabular}
+
+On peut résumer ces informations dans un \souligne{tableau de signes} :
+
+\variations
+x & \mI & \hspace{5cm} & \pI \\
+f(x) & \\
+\fin
+\smallskip
+\item si $a<0$, alors \begin{tabular}{l}
+  $f(x) >0$ pour $x \in $ \dotfill \\
+  $f(x) <0$ pour $x \in $ \dotfill \\
+  $f(x) = 0$ pour
+ $x = \dotfill$
+  \end{tabular}
+
+\variations
+x & \mI & \hspace{5cm} & \pI \\
+f(x) & \\
+\fin
+\smallskip
+\item si $a=0$, alors \dotfill
+
+\variations
+x & \mI & \hspace{5cm} & \pI \\
+f(x) & \\
+\fin
+\end{itemize2}
+\end{prop}
+
+\begin{proof}
+Voir correction de l'activité.
+\end{proof}
+
+
+Exemples : dresser le tableau de signes des fonctions $f$ et $g$, où $f(x) = -5x + 10$ et $g(x) = 2x + 5$.
+
+\begin{tabular}{p{.5\textwidth}|p{.5\textwidth}}
+\vspace{4cm}
+\end{tabular}
+
+Résoudre l'inéquation $2x+1 \geq 5x-2$ à l'aide du tableau de signe.
+
+\vspace{4cm}
+
+\section*{Petits rappels sur les pourcentages}
+\begin{tabular}{|p{7cm}|p{7cm}|}
+\hline
+Situation & Opération \\
+\hline
+Sélectionner un pourcentage $t$ \% d'un nombre $x$ & Multiplier $x$ par $\frac{t}{100}$ \\
+\hline
+Augmenter un nombre $x$ de $t$ \%  & Multiplier $x$ par \vspace{1cm} \\
+\hline
+Diminuer un nombre $x$ de $t$ \%  & Multiplier $x$ par \vspace{1cm} \\
+\hline
+\end{tabular}
 
 \end{document}
diff --git a/2nde/chapitre6_fct_affines/chap6_page3.pdf b/2nde/chapitre6_fct_affines/chap6_page3.pdf
new file mode 100644 (file)
index 0000000..7904737
Binary files /dev/null and b/2nde/chapitre6_fct_affines/chap6_page3.pdf differ
index 1f5a8aa4b7a2130809eec1049a4c3e208529f16a..ad663f7bb2232a20bec3a24cd993978993fe8ecd 100644 (file)
@@ -7,6 +7,8 @@ Maxime Brayer
 Christophe Rodrigues
 Jade Labouré-Menegon
 Julien Rodrigues-Goncalves
+Johann Raulet
+Nathan Dijoux
 
 1ere ES1
 Yassine Krir