正方体的11种表面展开图
2020-04-25 03:13
本 GeoGebra 范例动态演示了正方体（立方体）的 11 种不同的表面展开图。通过多边形和旋转等几何命令，模型展示了正方体沿不同棱剪开后平铺在二维平面上的所有可能形态。该交互式工具旨在帮助学生直观理解立体几何中的空间结构，培养空间想象力，并为学习正方体表面积的计算提供清晰的视觉辅助。
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<output a0="k'"/>
</command>
<element type="segment3d" label="k'">
<show object="false" label="false" ev="4"/>
<objColor r="153" g="51" b="0" alpha="0"/>
<layer val="0"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Rotate">
<input a0="q3_03" a1="90°" a2="k'"/>
<output a0="q6"/>
</command>
<element type="polygon3d" label="q6">
<lineStyle thickness="2" type="0" typeHidden="1" opacity="178"/>
<show object="false" label="false" ev="4"/>
<objColor r="153" g="51" b="0" alpha="0.5099999904632568"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<command name="Rotate">
<input a0="q6" a1="α" a2="k'"/>
<output a0="q1_02"/>
</command>
<element type="polygon3d" label="q1_02">
<lineStyle thickness="2" type="0" typeHidden="1" opacity="178"/>
<show object="true" label="false" ev="4"/>
<condition showObject="false"/>
<objColor r="153" g="51" b="0" alpha="0.5099999904632568"/>
<layer val="0"/>
<labelMode val="0"/>
</element>
<element type="boolean" label="xuanzhua">
<value val="true"/>
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="253" y="508"/>
<labelMode val="0"/>
<checkbox fixed="true"/>
<ggbscript onUpdate="If(xuanzhua==true,SetSpinSpeed(1),SetSpinSpeed(0))"/>
<caption val="旋转"/>
</element>
</construction>
</geogebra>