Polygon Geometric Construction and Interactive Demonstration
2022-03-28 09:16
This GeoGebra example demonstrates a geometric construction process based on points, segments, and polygons. Using commands such as Point, PointIn, Segment, and Polygon, it constructs multiple key points (A through J and their transformed counterparts G', G'', H', H'', etc.) and generates polygon poly1 along with associated segments. The example includes interactive elements like buttons and text,
In collections
Clever Perimeter Calculations
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<command name="Point">
<input a0="Ray[A + (1, 0), A + (2, 0)]"/>
<output a0="B"/>
</command>
<element type="point" label="B">
<show object="false" label="true" ev="4"/>
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<command name="Point">
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<coords x="0" y="5.950998827755715" z="1"/>
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<command name="PointIn">
<input a0="Polygon[B + F - A, F + (1, 0), A + (1, 1), B + (0, 1)]"/>
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SetValue(J, (If[x(J)<x(D), x(D), If[x(J)>x(C), x(C), x(I)]], y(D)))"/>
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<command name="Segment">
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<output a0="g"/>
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<element type="point" label="J''">
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<layer val="2"/>
<labelMode val="0"/>
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<pointSize val="5"/>
<pointStyle val="2"/>
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<value val="false"/>
<show object="true" label="true"/>
<objColor r="255" g="0" b="0" alpha="0"/>
<layer val="1"/>
<labelOffset x="328" y="3"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="SetLineStyle[d, If[hint, 2, 0]]
SetLineStyle[c, If[hint, 2, 0]]
SetValue[G, D]
SetValue[H, C]
SetValue[I, E]
SetValue[J, D]
SetValue[started, true]"/>
<caption val="提示"/>
</element>
<command name="Polygon">
<input a0="A" a1="B" a2="C" a3="D" a4="E" a5="F"/>
<output a0="poly1" a1="a_1" a2="b" a3="c" a4="d" a5="e" a6="f_1"/>
</command>
<element type="polygon" label="poly1">
<lineStyle thickness="3" type="0" typeHidden="1"/>
<show object="true" label="false" ev="4"/>
<objColor r="128" g="0" b="128" alpha="0.10000000149011612"/>
<layer val="0"/>
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<selectionAllowed val="false"/>
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<caption val="8 cm"/>
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<element type="segment" label="e">
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<element type="segment" label="f_1">
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<caption val="6 cm"/>
</element>
<expression label="text2" exp=""\red{拖拉顏色線}到適當位置。你能找出圖形的周界嗎？""/>
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<element type="point" label="Point (dependent)">
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SetLineStyle[c, 0]
SetValue[D, (2, 3)]
SetValue[G, D]
SetValue[H, C]
SetValue[I, E]
SetValue[J, D]
SetValue[started, false]
SetValue[a, false]"/>
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<caption val="重設"/>
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