多边形面积计算交互演示
2018-05-18 09:45
本GeoGebra范例演示多边形面积的计算方法。通过构造多个多边形(poly1等)及其边、顶点,结合向量与线段工具,展示多边形面积的几何求解过程。范例包含可拖动的交互点(moved1至moved4),允许用户动态调整多边形形状并实时观察面积变化,适用于平面几何与多边形面积公式的教学演示。
所属专题
四年级下册数学《面积(一)》教师版
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.466.0" app="classic" platform="w" id="1cdb6bf3-a949-4009-8099-579d5801a7cb" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="800" height="580" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.375" orientation="1" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="1080,692,1000,663" />
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 | 551 550 11 , 20 22 21 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="false" location="1,1,1" size="500" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="false" location="1,1" size="300" window="100,100,600,400" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="false" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="true" location="1" size="798" window="100,100,600,400" />
<view id="2" visible="false" inframe="true" stylebar="true" location="3" size="300" window="201,257,376,797" />
<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="64" toolbar="0" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="128" visible="false" inframe="true" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
</views>
<toolbar show="true" items="0 | 62 | 73 | 6" position="1" help="false" />
<input show="false" cmd="true" top="algebra" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="20"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="798" height="524"/>
<coordSystem xZero="214.99999999999997" yZero="314.99999999999983" scale="49.999999999999986" yscale="49.99999999999998"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="1" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<grid distX="1" distY="1" distTheta="0.5235987755982988"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="0" spreadsheet="0"/>
<coordStyle val="0"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<element type="point" label="A">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-1.9999999999999996" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="B">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="C">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="D">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="6" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="E">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="6" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="F">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-2" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Polygon">
<input a0="A" a1="B" a2="C" a3="D" a4="E" a5="F"/>
<output a0="poly1" a1="a" a2="b" a3="c" a4="d" a5="e" a6="f"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<objColor r="255" g="127" b="0" alpha="0.20000000298023224"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
</element>
<element type="segment" label="a">
<show object="true" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-33" y="13"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="0" y="11" z="33"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="11 cm"/>
</element>
<element type="segment" label="b">
<show object="true" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-3" y="9"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="-4" y="0" z="36"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="4 cm"/>
</element>
<element type="segment" label="c">
<show object="true" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-26" y="7"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="0" y="-3" z="3"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="3 cm"/>
</element>
<element type="segment" label="d">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="-2" y="0" z="12"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="e">
<show object="true" label="false" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-11" y="6"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="0" y="-8" z="24"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<element type="segment" label="f">
<show object="true" label="true" ev="4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="-46" y="8"/>
<labelMode val="3"/>
<selectionAllowed val="false"/>
<auxiliary val="false"/>
<coords x="6" y="4.440892098500626e-16" z="11.999999999999998"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="6 cm"/>
</element>
<element type="point" label="G">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="H">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="9" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="G" a1="H"/>
<output a0="g"/>
</command>
<element type="segment" label="g">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-3" y="10"/>
<labelMode val="3"/>
<coords x="-4" y="0" z="36"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="4 cm"/>
</element>
<command name="Vector">
<input a0="G" a1="H"/>
<output a0="u"/>
</command>
<element type="vector" label="u">
<show object="true" label="false" ev="4"/>
<condition showObject="moved1"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="4" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="G"/>
</element>
<command name="Vector">
<input a0="H" a1="G"/>
<output a0="v"/>
</command>
<element type="vector" label="v">
<show object="false" label="false" ev="4"/>
<condition showObject="moved1"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="-4" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="H"/>
</element>
<command name="If">
<input a0="G ≟ B ∧ H ≟ C" a1="false" a2="true"/>
<output a0="moved1"/>
</command>
<element type="boolean" label="moved1">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="I">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-2" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="J">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="9" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="I" a1="J"/>
<output a0="h"/>
</command>
<element type="segment" label="h">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved2, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-34" y="14"/>
<labelMode val="3"/>
<coords x="0" y="11" z="33"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="11 cm"/>
</element>
<command name="Vector">
<input a0="I" a1="J"/>
<output a0="w"/>
</command>
<element type="vector" label="w">
<show object="true" label="false" ev="4"/>
<condition showObject="moved2"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="11" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="I"/>
</element>
<command name="Vector">
<input a0="J" a1="I"/>
<output a0="i"/>
</command>
<element type="vector" label="i">
<show object="true" label="false" ev="4"/>
<condition showObject="moved2"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="-11" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="J"/>
</element>
<command name="If">
<input a0="I ≟ A ∧ J ≟ B" a1="false" a2="true"/>
<output a0="moved2"/>
</command>
<element type="boolean" label="moved2">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="K">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="L">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="6" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="K" a1="L"/>
<output a0="j"/>
</command>
<element type="segment" label="j">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved3, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-27" y="7"/>
<labelMode val="3"/>
<coords x="0" y="-3" z="3"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="3 cm"/>
</element>
<command name="If">
<input a0="K ≟ C ∧ L ≟ D" a1="false" a2="true"/>
<output a0="moved3"/>
</command>
<element type="boolean" label="moved3">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Vector">
<input a0="K" a1="L"/>
<output a0="k"/>
</command>
<element type="vector" label="k">
<show object="true" label="false" ev="4"/>
<condition showObject="moved3"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="-3" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="K"/>
</element>
<command name="Vector">
<input a0="L" a1="K"/>
<output a0="l"/>
</command>
<element type="vector" label="l">
<show object="true" label="false" ev="4"/>
<condition showObject="moved3"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="3" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="L"/>
</element>
<element type="point" label="M">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-2" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="N">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="-2" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="M" a1="N"/>
<output a0="m"/>
</command>
<element type="segment" label="m">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved4, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-78" y="9"/>
<labelMode val="3"/>
<coords x="-6" y="0" z="-12"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="6 cm"/>
</element>
<command name="If">
<input a0="M ≟ A ∧ N ≟ F" a1="false" a2="true"/>
<output a0="moved4"/>
</command>
<element type="boolean" label="moved4">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<command name="Vector">
<input a0="M" a1="N"/>
<output a0="n"/>
</command>
<element type="vector" label="n">
<show object="true" label="false" ev="4"/>
<condition showObject="moved4"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="6" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="M"/>
</element>
<command name="Vector">
<input a0="N" a1="M"/>
<output a0="p"/>
</command>
<element type="vector" label="p">
<show object="true" label="false" ev="4"/>
<condition showObject="moved4"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="-6" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="N"/>
</element>
<expression label="text1" exp=""計算下面多邊形的面積。""/>
<element type="text" label="text1">
<show object="true" label="false" ev="40"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1.4" size="8" style="0"/>
<absoluteScreenLocation x="9" y="34"/>
</element>
<expression label="text2" exp=""可將有長度的邊拖拉到不同的位置。""/>
<element type="text" label="text2">
<show object="true" label="false" ev="40"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<fixed val="true"/>
<font serif="false" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="9" y="75"/>
</element>
<element type="point" label="K_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="L_1">
<show object="false" label="true"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="6" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="K_1" a1="L_1"/>
<output a0="j_1"/>
</command>
<element type="segment" label="j_1">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved3_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-27" y="7"/>
<labelMode val="3"/>
<coords x="0" y="-3" z="3"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="3 cm"/>
</element>
<command name="Vector">
<input a0="K_1" a1="L_1"/>
<output a0="k_1"/>
</command>
<element type="vector" label="k_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved3_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="-3" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="K_1"/>
</element>
<command name="Vector">
<input a0="L_1" a1="K_1"/>
<output a0="l_1"/>
</command>
<element type="vector" label="l_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved3_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="3" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="L_1"/>
</element>
<command name="If">
<input a0="K_1 ≟ C ∧ L_1 ≟ D" a1="false" a2="true"/>
<output a0="moved3_1"/>
</command>
<element type="boolean" label="moved3_1">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="G_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="9" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="H_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="9" y="1" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="G_1" a1="H_1"/>
<output a0="g_1"/>
</command>
<element type="segment" label="g_1">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-3" y="10"/>
<labelMode val="3"/>
<coords x="-4" y="0" z="36"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="4 cm"/>
</element>
<command name="Vector">
<input a0="G_1" a1="H_1"/>
<output a0="u_1"/>
</command>
<element type="vector" label="u_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved1_1"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="4" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="G_1"/>
</element>
<command name="Vector">
<input a0="H_1" a1="G_1"/>
<output a0="v_1"/>
</command>
<element type="vector" label="v_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved1_1"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved1_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="-4" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="H_1"/>
</element>
<command name="If">
<input a0="G_1 ≟ B ∧ H_1 ≟ C" a1="false" a2="true"/>
<output a0="moved1_1"/>
</command>
<element type="boolean" label="moved1_1">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="I_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-2" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="J_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="9" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="I_1" a1="J_1"/>
<output a0="h_1"/>
</command>
<element type="segment" label="h_1">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved2_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-34" y="14"/>
<labelMode val="3"/>
<coords x="0" y="11" z="33"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="11 cm"/>
</element>
<command name="Vector">
<input a0="I_1" a1="J_1"/>
<output a0="w_1"/>
</command>
<element type="vector" label="w_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved2_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="11" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="I_1"/>
</element>
<command name="Vector">
<input a0="J_1" a1="I_1"/>
<output a0="i_1"/>
</command>
<element type="vector" label="i_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved2_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="-11" y="0" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="J_1"/>
</element>
<command name="If">
<input a0="I_1 ≟ A ∧ J_1 ≟ B" a1="false" a2="true"/>
<output a0="moved2_1"/>
</command>
<element type="boolean" label="moved2_1">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
<element type="point" label="M_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="-2" y="-3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<element type="point" label="N_1">
<show object="false" label="true" ev="4"/>
<objColor r="77" g="77" b="255" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<animation step="1" speed="1" type="1" playing="false"/>
<coords x="-2" y="3" z="1"/>
<pointSize val="5"/>
<pointStyle val="0"/>
</element>
<command name="Segment">
<input a0="M_1" a1="N_1"/>
<output a0="m_1"/>
</command>
<element type="segment" label="m_1">
<show object="true" label="true" ev="4"/>
<objColor r="255" g="0" b="0" alpha="0" dynamicr="If[moved4_1, 1, 0]" dynamicg="0" dynamicb="0" colorSpace="0"/>
<layer val="0"/>
<labelOffset x="-78" y="9"/>
<labelMode val="3"/>
<coords x="-6" y="0" z="-12"/>
<lineStyle thickness="5" type="0" typeHidden="1" opacity="178"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
<caption val="6 cm"/>
</element>
<command name="Vector">
<input a0="M_1" a1="N_1"/>
<output a0="n_1"/>
</command>
<element type="vector" label="n_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved4_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="6" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="M_1"/>
</element>
<command name="Vector">
<input a0="N_1" a1="M_1"/>
<output a0="p_1"/>
</command>
<element type="vector" label="p_1">
<show object="true" label="false" ev="4"/>
<condition showObject="moved4_1"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="-6" z="0"/>
<lineStyle thickness="3" type="0" typeHidden="1" opacity="178"/>
<coordStyle style="cartesian"/>
<startPoint exp="N_1"/>
</element>
<command name="If">
<input a0="M_1 ≟ A ∧ N_1 ≟ F" a1="false" a2="true"/>
<output a0="moved4_1"/>
</command>
<element type="boolean" label="moved4_1">
<value val="false"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
</element>
</construction>
</geogebra>