<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Macro Name="Vect. mult. par un réel" showduplicates="true">
<Parameter name="E1">Coefficient multiplicateur</Parameter>
<Parameter name="s3">Vecteur</Parameter>
<Parameter name="E">Origine</Parameter>
<Objects>
<Point name="P1" n="0" parameter="true" x="0.701754385964913" y="1.3894736842105266">Point à 0.7, 1.39</Point>
<Point name="E" n="1" mainparameter="true" x="-0.7578947368421057" y="-2.624561403508772">Point à -0.76, -2.62</Point>
<Point name="P3" n="2" parameter="true" x="2.701754385964913" y="2.389473684210526">Point à 2.7, 2.39</Point>
<Expression name="E1" n="3" color="2" type="thick" mainparameter="true" x="0.0" y="0.0" value="1" prompt="Valeur">Expression &quot;1&quot; à 0.0, 0.0</Expression>
<Segment name="s3" n="4" color="2" mainparameter="true" from="P1" to="P3" arrow="true">Segment de P1 à P3</Segment>
<Point name="P4" n="5" color="2" showname="true" target="true" x="x(E)+E1*(x(P3)-x(P1))" actx="1.2421052631578942" y="y(E)+E1*(y(P3)-y(P1))" acty="-1.6245614035087725" shape="circle" fixed="true">Point à &quot;x(E)+E1*(x(P3)-x(P1))&quot;, &quot;y(E)+E1*(y(P3)-y(P1))&quot;</Point>
<Segment name="s2" n="6" color="2" target="true" from="E" to="P4" arrow="true">Segment de E à P4</Segment>
</Objects>
</Macro>
<Macro Name="Somme de deux vecteurs" showduplicates="true">
<Parameter name="s4">s4</Parameter>
<Parameter name="s5">s5</Parameter>
<Parameter name="E">E</Parameter>
<Objects>
<Point name="P1" n="0" parameter="true" x="-1.431578947368421" y="3.1298245614035105">Point à -1.43, 3.13</Point>
<Point name="P2" n="1" parameter="true" x="0.5333333333333332" y="3.831578947368421">Point à 0.53, 3.83</Point>
<Point name="P3" n="2" parameter="true" x="-2.8350877192982455" y="-0.6596491228070178">Point à -2.84, -0.66</Point>
<Point name="P4" n="3" parameter="true" x="-0.6175438596491236" y="-2.3157894736842106">Point à -0.62, -2.32</Point>
<Point name="E" n="4" parameter="true" mainparameter="true" x="0.28070175438596584" y="1.3894736842105266">Point à 0.28, 1.39</Point>
<Point name="P6" n="5" color="2" target="true" x="x(E)+x(P2)-x(P1)+x(P4)-x(P3)" actx="4.463157894736842" y="y(E)+y(P2)-y(P1)+y(P4)-y(P3)" acty="0.4350877192982443" shape="circle" fixed="true">Point à &quot;x(E)+x(P2)-x(P1)+x(P4)-x(P3)&quot;, &quot;y(E)+y(P2)-y(P1)+y(P4)-y(P3)&quot;</Point>
<Segment name="s4" n="6" color="2" parameter="true" mainparameter="true" from="P1" to="P2" arrow="true">Segment de P1 à P2</Segment>
<Segment name="s5" n="7" color="2" parameter="true" mainparameter="true" from="P3" to="P4" arrow="true">Segment de P3 à P4</Segment>
<Segment name="s3" n="8" color="2" target="true" from="E" to="P6" arrow="true">Segment de E à P6</Segment>
</Objects>
</Macro>
<Construction>
<Window x="0.0607594936708864" y="-0.36455696202531485" w="8.0"/>
<Windowdim w="800" h="600"/>
<Preferences minfontsize="12" minpointsize="2" minlinesize="1" arrowsize="15" digits.lengths="2" digits.edit="2" digits.angles="0" colorbackground="255,255,255"/>
<Objects>
<Point name="A" n="34" color="5" showname="true" x="-2.065822784810126" y="-1.1443037974683545" shape="dcross">Point à -2.07, -1.14</Point>
<Point name="B" n="37" color="5" showname="true" x="0.6075949367088613" y="0.43544303797468414" shape="dcross">Point à 0.61, 0.44</Point>
<Point name="C" n="39" color="1" showname="true" x="0.3645569620253166" y="-2.946835443037975" shape="dcross">Point à 0.36, -2.95</Point>
<Point name="D" n="42" color="1" showname="true" x="2.7544303797468364" y="-3.817721518987342" shape="dcross">Point à 2.75, -3.82</Point>
<Segment name="s7" n="38" color="5" from="A" to="B" arrow="true">Segment de A à B</Segment>
<Segment name="s8" n="43" color="1" from="C" to="D" arrow="true">Segment de P21 à P22</Segment>
<Point name="P23" n="44" color="1" type="thick" hidden="true" x="(windoww/(windoww-d(windoww)))*(x(P23)-windowcx)+windowcx+d(windowcx)" actx="-4.840506329113923" y="(windoww/(windoww-d(windoww)))*(y(P23)-windowcy)+windowcy+d(windowcy)" acty="2.2987341772151915" shape="dcross" fixed="true">Point à &quot;(windoww/(windoww-d(windoww)))*(x(P23)-windowcx)+windowcx+d(windowcx)&quot;, &quot;(windoww/(windoww-d(windoww)))*(y(P23)-windowcy)+windowcy+d(windowcy)&quot;</Point>
<Point name="P24" n="45" color="1" hidden="true" bold="true" x="x(P23)+3*windoww" actx="19.15949367088608" y="y(P23)" acty="2.2987341772151915" fixed="true">Point à &quot;x(A)+3*windoww&quot;, &quot;y(A)&quot; </Point>
<Segment name="s9" n="46" color="1" hidden="super" bold="true" from="P23" to="P24">Segment de P23 à P24</Segment>
<PointOn name="po25" n="47" color="1" hidden="true" xcoffset="0.023289245826246585" ycoffset="-0.3726279332199498" keepclose="true" bold="true" on="s9" alpha="0.07602339181286548" x="-3.015944925605152" y="2.2987341772151915" shape="dcross">Point sur s1 </PointOn>
<Point name="P26" n="48" bold="true" x="x(po25)" actx="-3.015944925605152" y="y(po25)+windoww/20" acty="2.6987341772151914" shape="cross" fixed="true">Point à &quot;x(po3)&quot;, &quot;y(po3)+windoww/20&quot; </Point>
<Point name="P27" n="49" bold="true" x="x(P26)+2*(x(P23)-x(po25))" actx="-6.665067732622695" y="y(P26)" acty="2.6987341772151914" shape="cross" fixed="true">Point à &quot;x(P4)+2*(x(A)-x(po3))&quot;, &quot;y(P4)&quot; </Point>
<Expression name="E7" n="50" color="1" type="thick" hidden="true" showname="true" showvalue="true" x="x(P26)+windoww/30" y="y(P26)+windoww/25" value="-3" prompt="m" fixed="true">Expression &quot;-5&quot; à -1.74431, 0.11941 </Expression>
<Expression name="E8" n="51" color="1" type="thick" hidden="true" showname="true" showvalue="true" x="x(P26)+windoww/30" y="y(P26)-windoww/40" value="3" prompt="M" fixed="true">Expression &quot;5&quot; à -1.74431, -0.40059 </Expression>
<Segment name="s10" n="52" bold="true" from="P27" to="P26">Segment de P27 à P26</Segment>
<PointOn name="po28" n="53" xcoffset="4.583102756861024E-6" ycoffset="0.14519389194800736" keepclose="true" bold="true" ctag0="thick" cexpr0="1" on="s10" alpha="0.36621226874391416" x="-5.32871419053964" y="2.6987341772151914" shape="circle">Point sur s2 </PointOn>
<Expression name="a" n="54" color="1" type="thick" showname="true" showvalue="true" bold="true" large="true" x="x(po28)-windoww/100" y="y(po28)+windoww/30" value="round((E7+d(P27,po28)/d(P27,P26)*(E8-E7))*10)/10" prompt="a" fixed="true">Expression &quot;round((E1+d(P5,po6)/d(P5,P4)*(E2-E1))*10)/10&quot; à -2.75005, 0.06608 </Expression>
</Objects>
</Construction>
</CaR>
