Exo de définition du cos pour les 302
This commit is contained in:
parent
96ab7edd1e
commit
aa31af46cc
BIN
3e/Geometrie/Triangle_rectangle/definition_cos.pdf
Normal file
BIN
3e/Geometrie/Triangle_rectangle/definition_cos.pdf
Normal file
Binary file not shown.
49
3e/Geometrie/Triangle_rectangle/definition_cos.tex
Normal file
49
3e/Geometrie/Triangle_rectangle/definition_cos.tex
Normal file
@ -0,0 +1,49 @@
|
|||||||
|
\documentclass[a4paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
% Title Page
|
||||||
|
\title{Définition du cosinus}
|
||||||
|
\tribe{Troisième}
|
||||||
|
\date{Janvier 2018}
|
||||||
|
|
||||||
|
\pagestyle{empty}
|
||||||
|
|
||||||
|
\begin{document}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Reproduction de triangles}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Tracer les agrandissements ou les réductions des triangles suivants pour que les hypothénuses mesurent:
|
||||||
|
\begin{center}
|
||||||
|
5cm \qquad 8cm \qquad 12cm \qquad 15cm
|
||||||
|
\end{center}
|
||||||
|
|
||||||
|
\includegraphics[scale=0.7]{./fig/triangle_repro}
|
||||||
|
|
||||||
|
\item Mesurer la longueur du côté adjacents pour compléter le tableau.
|
||||||
|
|
||||||
|
\hspace{-1cm}
|
||||||
|
\begin{tabular}{|*{6}{p{2.5cm}|}}
|
||||||
|
\hline
|
||||||
|
Hypothénuse & 5 & 8 & 10 & 12 & 15 \\
|
||||||
|
\hline
|
||||||
|
Adjacent angle = .... & & & & & \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
|
||||||
|
\item Ce tableau est-il un tableau de proportionnalité?
|
||||||
|
|
||||||
|
\item Comment peut-on calculer la longueur du côté adjacent quand l'hypothénuse mesure 10cm?
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\vfill
|
||||||
|
|
||||||
|
\printexercise{exercise}{1}
|
||||||
|
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "master"
|
||||||
|
%%% End:
|
||||||
|
|
BIN
3e/Geometrie/Triangle_rectangle/fig/triangle_repro.pdf
Normal file
BIN
3e/Geometrie/Triangle_rectangle/fig/triangle_repro.pdf
Normal file
Binary file not shown.
277
3e/Geometrie/Triangle_rectangle/fig/triangle_repro.svg
Normal file
277
3e/Geometrie/Triangle_rectangle/fig/triangle_repro.svg
Normal file
@ -0,0 +1,277 @@
|
|||||||
|
<?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="169.26822mm"
|
||||||
|
height="66.388496mm"
|
||||||
|
viewBox="0 0 169.26822 66.388496"
|
||||||
|
version="1.1"
|
||||||
|
id="svg8"
|
||||||
|
inkscape:version="0.92.0 r"
|
||||||
|
sodipodi:docname="triangle_repro.svg">
|
||||||
|
<defs
|
||||||
|
id="defs2" />
|
||||||
|
<sodipodi:namedview
|
||||||
|
id="base"
|
||||||
|
pagecolor="#ffffff"
|
||||||
|
bordercolor="#666666"
|
||||||
|
borderopacity="1.0"
|
||||||
|
inkscape:pageopacity="0.0"
|
||||||
|
inkscape:pageshadow="2"
|
||||||
|
inkscape:zoom="0.71055899"
|
||||||
|
inkscape:cx="560.27241"
|
||||||
|
inkscape:cy="-92.395465"
|
||||||
|
inkscape:document-units="mm"
|
||||||
|
inkscape:current-layer="layer1"
|
||||||
|
showgrid="false"
|
||||||
|
inkscape:object-paths="true"
|
||||||
|
inkscape:snap-intersection-paths="true"
|
||||||
|
inkscape:snap-nodes="false"
|
||||||
|
fit-margin-top="0"
|
||||||
|
fit-margin-left="0"
|
||||||
|
fit-margin-right="0"
|
||||||
|
fit-margin-bottom="0"
|
||||||
|
inkscape:window-width="1366"
|
||||||
|
inkscape:window-height="742"
|
||||||
|
inkscape:window-x="0"
|
||||||
|
inkscape:window-y="0"
|
||||||
|
inkscape:window-maximized="1" />
|
||||||
|
<metadata
|
||||||
|
id="metadata5">
|
||||||
|
<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 />
|
||||||
|
</cc:Work>
|
||||||
|
</rdf:RDF>
|
||||||
|
</metadata>
|
||||||
|
<g
|
||||||
|
inkscape:label="Calque 1"
|
||||||
|
inkscape:groupmode="layer"
|
||||||
|
id="layer1"
|
||||||
|
transform="translate(-7.8436423,-44.183773)">
|
||||||
|
<g
|
||||||
|
id="g4622">
|
||||||
|
<text
|
||||||
|
id="text4520"
|
||||||
|
y="88.851082"
|
||||||
|
x="31.278193"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:3.17499995px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="font-size:4.23333311px;stroke-width:0.26458332px"
|
||||||
|
y="88.851082"
|
||||||
|
x="31.278193"
|
||||||
|
id="tspan4518"
|
||||||
|
sodipodi:role="line">10cm</tspan></text>
|
||||||
|
<text
|
||||||
|
id="text4520-7"
|
||||||
|
y="80.710732"
|
||||||
|
x="93.81646"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:3.17499995px;line-height:6.61458349px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="font-size:4.23333311px;stroke-width:0.26458332px"
|
||||||
|
y="80.710732"
|
||||||
|
x="93.81646"
|
||||||
|
id="tspan4518-5"
|
||||||
|
sodipodi:role="line">10cm</tspan></text>
|
||||||
|
<text
|
||||||
|
id="text4520-3"
|
||||||
|
y="74.008255"
|
||||||
|
x="146.31914"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:3.17499995px;line-height:6.61458349px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="font-size:4.23333311px;stroke-width:0.26458332px"
|
||||||
|
y="74.008255"
|
||||||
|
x="146.31914"
|
||||||
|
id="tspan4518-56"
|
||||||
|
sodipodi:role="line">10cm</tspan></text>
|
||||||
|
<g
|
||||||
|
id="g4574">
|
||||||
|
<path
|
||||||
|
style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
|
||||||
|
d="M 9.1638294,110.22227 H 76.568084 V 71.78078 Z"
|
||||||
|
id="path4485"
|
||||||
|
inkscape:connector-curvature="0" />
|
||||||
|
<path
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.91328746;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="path4512"
|
||||||
|
sodipodi:type="arc"
|
||||||
|
sodipodi:cx="10.139484"
|
||||||
|
sodipodi:cy="109.70545"
|
||||||
|
sodipodi:rx="9.5433559"
|
||||||
|
sodipodi:ry="9.5433559"
|
||||||
|
sodipodi:start="5.7607885"
|
||||||
|
sodipodi:end="0.053928225"
|
||||||
|
sodipodi:open="true"
|
||||||
|
d="m 18.410003,104.94371 a 9.5433559,9.5433559 0 0 1 1.258963,5.27615" />
|
||||||
|
<rect
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="rect4548"
|
||||||
|
width="4.0510864"
|
||||||
|
height="4.0510864"
|
||||||
|
x="72.516998"
|
||||||
|
y="106.17118" />
|
||||||
|
</g>
|
||||||
|
<g
|
||||||
|
id="g4579">
|
||||||
|
<path
|
||||||
|
style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
|
||||||
|
d="M 84.027682,110.22227 H 129.91672 V 59.105922 Z"
|
||||||
|
id="path4485-3"
|
||||||
|
inkscape:connector-curvature="0" />
|
||||||
|
<path
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.74205011;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="path4514"
|
||||||
|
sodipodi:type="arc"
|
||||||
|
sodipodi:cx="84.594353"
|
||||||
|
sodipodi:cy="109.65559"
|
||||||
|
sodipodi:rx="9.6289749"
|
||||||
|
sodipodi:ry="9.6289749"
|
||||||
|
sodipodi:start="5.435446"
|
||||||
|
sodipodi:end="0.067812731"
|
||||||
|
sodipodi:open="true"
|
||||||
|
d="m 90.965652,102.43591 a 9.6289749,9.6289749 0 0 1 3.235544,7.87214" />
|
||||||
|
<rect
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="rect4548-2"
|
||||||
|
width="4.0510864"
|
||||||
|
height="4.0510864"
|
||||||
|
x="125.86563"
|
||||||
|
y="106.17118" />
|
||||||
|
</g>
|
||||||
|
<g
|
||||||
|
id="g4584">
|
||||||
|
<path
|
||||||
|
style="fill:none;fill-rule:evenodd;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1"
|
||||||
|
d="m 141.94008,110.22227 h 34.82178 V 44.347339 Z"
|
||||||
|
id="path4485-6"
|
||||||
|
inkscape:connector-curvature="0" />
|
||||||
|
<path
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="path4516"
|
||||||
|
sodipodi:type="arc"
|
||||||
|
sodipodi:cx="141.94008"
|
||||||
|
sodipodi:cy="110.22227"
|
||||||
|
sodipodi:rx="9.9211349"
|
||||||
|
sodipodi:ry="9.9211349"
|
||||||
|
sodipodi:start="5.2043365"
|
||||||
|
sodipodi:end="0.012393932"
|
||||||
|
d="m 146.62626,101.47763 a 9.9211349,9.9211349 0 0 1 5.23419,8.8676"
|
||||||
|
sodipodi:open="true" />
|
||||||
|
<rect
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
|
||||||
|
id="rect4548-9"
|
||||||
|
width="4.0510864"
|
||||||
|
height="4.0510864"
|
||||||
|
x="172.71077"
|
||||||
|
y="106.17118" />
|
||||||
|
</g>
|
||||||
|
<text
|
||||||
|
id="text4588"
|
||||||
|
y="107.09669"
|
||||||
|
x="24.575722"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="107.09669"
|
||||||
|
x="24.575722"
|
||||||
|
id="tspan4586"
|
||||||
|
sodipodi:role="line">35°</tspan></text>
|
||||||
|
<text
|
||||||
|
id="text4592"
|
||||||
|
y="105.79343"
|
||||||
|
x="97.558167"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="105.79343"
|
||||||
|
x="97.558167"
|
||||||
|
id="tspan4590"
|
||||||
|
sodipodi:role="line">50°</tspan></text>
|
||||||
|
<text
|
||||||
|
id="text4596"
|
||||||
|
y="104.67636"
|
||||||
|
x="152.48119"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="104.67636"
|
||||||
|
x="152.48119"
|
||||||
|
id="tspan4594"
|
||||||
|
sodipodi:role="line">60°</tspan></text>
|
||||||
|
</g>
|
||||||
|
<g
|
||||||
|
id="g4526"
|
||||||
|
transform="translate(18.881269,33.836322)">
|
||||||
|
<text
|
||||||
|
id="text4517"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
id="tspan4515"
|
||||||
|
sodipodi:role="line">1</tspan></text>
|
||||||
|
<circle
|
||||||
|
r="3.5545213"
|
||||||
|
cy="61.072269"
|
||||||
|
cx="41.677418"
|
||||||
|
id="path4521"
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
|
||||||
|
</g>
|
||||||
|
<g
|
||||||
|
transform="translate(77.35986,29.510619)"
|
||||||
|
id="g4526-3">
|
||||||
|
<text
|
||||||
|
id="text4517-6"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
id="tspan4515-7"
|
||||||
|
sodipodi:role="line">2</tspan></text>
|
||||||
|
<circle
|
||||||
|
r="3.5545213"
|
||||||
|
cy="61.072269"
|
||||||
|
cx="41.677418"
|
||||||
|
id="path4521-5"
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
|
||||||
|
</g>
|
||||||
|
<g
|
||||||
|
transform="translate(125.08454,27.178362)"
|
||||||
|
id="g4526-35">
|
||||||
|
<text
|
||||||
|
id="text4517-62"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
style="font-style:normal;font-weight:normal;font-size:4.23333311px;line-height:6.61458302px;font-family:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
|
||||||
|
xml:space="preserve"><tspan
|
||||||
|
style="stroke-width:0.26458332px"
|
||||||
|
y="62.615326"
|
||||||
|
x="40.293522"
|
||||||
|
id="tspan4515-9"
|
||||||
|
sodipodi:role="line">3</tspan></text>
|
||||||
|
<circle
|
||||||
|
r="3.5545213"
|
||||||
|
cy="61.072269"
|
||||||
|
cx="41.677418"
|
||||||
|
id="path4521-1"
|
||||||
|
style="opacity:1;fill:none;fill-opacity:0.8627451;fill-rule:nonzero;stroke:#000000;stroke-width:0.69999999;stroke-linecap:butt;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
|
||||||
|
</g>
|
||||||
|
</g>
|
||||||
|
</svg>
|
After Width: | Height: | Size: 12 KiB |
BIN
3e/Geometrie/Triangle_rectangle/pb_duree_triangle_rectangle.pdf
Normal file
BIN
3e/Geometrie/Triangle_rectangle/pb_duree_triangle_rectangle.pdf
Normal file
Binary file not shown.
Loading…
Reference in New Issue
Block a user