<?xml version="1.0" encoding="utf-8"?>
<CaR>
<Construction>
<Window x="8.799999999999999" y="6.3999999999999995" w="8.0"/>
<Objects>
<Point name="P1" n="1" bold="true" large="true" x="1.5" actx="1.5" y="7.4" acty="7.4" fixed="true">Point at &quot;1.5&quot;, &quot;7.4&quot;</Point>
<Point name="P3" n="4" bold="true" large="true" x="5.2" actx="5.2" y="6.800000000000003" acty="6.800000000000003" fixed="true">Point at &quot;5.2&quot;, &quot;6.800000000000003&quot;</Point>
<Point name="P5" n="8" bold="true" large="true" x="3.300000000000001" actx="3.300000000000001" y="3.300000000000001" acty="3.300000000000001" fixed="true">Point at &quot;3.300000000000001&quot;, &quot;3.300000000000001&quot;</Point>
<Point name="P11" n="43" color="2" bold="true" large="true" x="11.8" actx="11.8" y="11.100000000000001" acty="11.100000000000001" fixed="true">Point at &quot;11.8&quot;, &quot;11.100000000000001&quot;</Point>
<Point name="P13" n="46" color="2" bold="true" large="true" x="10.9" actx="10.9" y="3.9000000000000004" acty="3.9000000000000004" fixed="true">Point at &quot;10.9&quot;, &quot;3.9000000000000004&quot;</Point>
<Point name="P15" n="50" color="2" bold="true" large="true" x="16.3" actx="16.3" y="2.7" acty="2.7" fixed="true">Point at &quot;16.3&quot;, &quot;2.7&quot;</Point>
<Point name="P" n="64" type="thick" showname="true" bold="true" large="true" x="8.13" y="4.99" shape="circle">Point at 8.13, 4.99</Point>
<Text name="Text1" n="100" bold="true" large="true" x="1.238095238095237" y="11.142857142857142">黑色的三角形內有一圓，剛好僅貼三角形的三邊。
將紅色的圓同樣地放在藍色的三角形內。
移動P點及Q點可調校圓的位置和大小。</Text>
<Text name="Text2" n="105" hidden="super" bold="true" large="true" x="1.3142857142857138" y="2.4000000000000012">Target=139</Text>
<Segment name="s2" n="5" bold="true" large="true" from="P1" to="P3">Line segment from P1 to P3</Segment>
<Segment name="s4" n="9" bold="true" large="true" from="P3" to="P5">Line segment from P3 to P5</Segment>
<Segment name="s6" n="12" bold="true" large="true" from="P5" to="P1">Line segment from P5 to P1</Segment>
<Ray name="r3" n="19" hidden="super" from="P1" to="P5">Ray from P1 pointing to P5</Ray>
<Circle name="c2" n="20" hidden="super" through="P3" midpoint="P1" acute="true">Circle around P1 through P3</Circle>
<Ray name="r7" n="30" hidden="super" from="P3" to="P1">Ray from P3 pointing to P1</Ray>
<Circle name="c4" n="31" hidden="super" through="P5" midpoint="P3" acute="true">Circle around P3 through P5</Circle>
<Segment name="s8" n="47" color="2" bold="true" large="true" from="P11" to="P13">Line segment from P11 to P13</Segment>
<Segment name="s10" n="51" color="2" bold="true" large="true" from="P13" to="P15">Line segment from P13 to P15</Segment>
<Segment name="s12" n="54" color="2" bold="true" large="true" from="P15" to="P11">Line segment from P15 to P11</Segment>
<Point name="P24" n="65" hidden="super" bold="true" large="true" x="x(P)+1" actx="9.13" y="y(P)" acty="4.99" fixed="true">Point at &quot;x(P)+1&quot;, &quot;y(P)&quot;</Point>
<Ray name="r15" n="79" hidden="super" from="P13" to="P11">Ray from P13 pointing to P11</Ray>
<Circle name="c12" n="80" hidden="super" through="P15" midpoint="P13" acute="true">Circle around P13 through P15</Circle>
<Ray name="r19" n="90" hidden="super" from="P15" to="P11">Ray from P15 pointing to P11</Ray>
<Circle name="c14" n="91" hidden="super" through="P13" midpoint="P15" acute="true">Circle around P15 through P13</Circle>
<Expression name="E3" n="108" showname="true" showvalue="true" x="1.3" y="9.200000000000001" value="round(100*x(P))" prompt="答案2">Expression &quot;round(100*x(P))&quot; at 1.3, 9.2</Expression>
<Expression name="E4" n="109" showname="true" showvalue="true" x="1.2952380952380946" y="8.742857142857147" value="round(100*y(P))" prompt="答案3">Expression &quot;round(100*y(P))&quot; at 1.3, 8.7</Expression>
<Intersection name="I2" n="21" hidden="super" first="r3" second="c2" which="first">Intersection between r3 and c2</Intersection>
<Intersection name="I4" n="32" hidden="super" first="r7" second="c4" which="first">Intersection between r7 and c4</Intersection>
<Ray name="r12" n="68" hidden="super" bold="true" large="true" from="P" to="P24">Ray from P pointing to P24</Ray>
<Intersection name="I11" n="81" hidden="super" first="r15" second="c12" which="first">Intersection between r15 and c12</Intersection>
<Intersection name="I13" n="92" hidden="super" first="r19" second="c14" which="first">Intersection between r19 and c14</Intersection>
<Midpoint name="M2" n="22" hidden="super" first="I2" second="P3">Midpoint between I2 and P3</Midpoint>
<Midpoint name="M4" n="33" hidden="super" first="I4" second="P5">Midpoint between I4 and P5</Midpoint>
<PointOn name="Q" n="71" type="thick" showname="true" bold="true" large="true" on="r12" alpha="2.3047619047619037" x="10.434761904761904" y="4.99" shape="circle">Point on r12</PointOn>
<Midpoint name="M6" n="82" hidden="super" first="I11" second="P15">Midpoint between I11 and P15</Midpoint>
<Midpoint name="M8" n="93" hidden="super" first="I13" second="P13">Midpoint between I13 and P13</Midpoint>
<Ray name="r4" n="23" hidden="super" from="P1" to="M2">Ray from P1 pointing to M2</Ray>
<Ray name="r8" n="34" hidden="super" from="P3" to="M4">Ray from P3 pointing to M4</Ray>
<Circle name="c" n="72" color="5" bold="true" large="true" through="Q" midpoint="P" acute="true">Circle around P through Q</Circle>
<Ray name="r16" n="83" hidden="super" from="P13" to="M6">Ray from P13 pointing to M6</Ray>
<Ray name="r20" n="94" hidden="super" from="P15" to="M8">Ray from P15 pointing to M8</Ray>
<Intersection name="I7" n="37" hidden="super" bold="true" large="true" first="r8" second="r4">Intersection between r8 and r4</Intersection>
<Intersection name="I" n="97" hidden="super" showname="true" bold="true" large="true" first="r20" second="r16">Intersection between r20 and r16</Intersection>
<Expression name="E5" n="110" showname="true" showvalue="true" x="1.3" y="8.3" value="round(100*c)" prompt="答案4">Expression &quot;round(100*c)&quot; at 1.3, 8.3</Expression>
<Plumb name="p2" n="38" hidden="super" bold="true" large="true" point="I7" line="s2" valid="true">Perpendicular line through I7 to s2</Plumb>
<Plumb name="p4" n="98" hidden="super" bold="true" large="true" point="I" line="s10" valid="true">Perpendicular line through I to s10</Plumb>
<Intersection name="I9" n="41" hidden="super" bold="true" large="true" first="p2" second="s2">Intersection between p2 and s2</Intersection>
<Intersection name="I17" n="99" hidden="super" bold="true" large="true" first="p4" second="s10">Intersection between p4 and s10</Intersection>
<Circle name="c6" n="42" bold="true" large="true" through="I9" midpoint="I7" acute="true">Circle around I7 through I9</Circle>
<Circle name="r" n="103" hidden="super" bold="true" large="true" through="I17" midpoint="I" acute="true">Circle around I through I17</Circle>
<Expression name="E1" n="104" showname="true" showvalue="true" x="1.3" y="9.700000000000001" value="round(100*(d(P,I)+abs(c-r)))+139" prompt="答案1">Expression &quot;round(100*(d(P,I)+abs(c-r)))+139&quot; at 1.3, 9.7</Expression>
</Objects>
</Construction>
</CaR>
