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GeoGebra齐次坐标,无穷远点

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hbghlyj Posted at 2022-1-6 18:36:00 |Read mode
Last edited by hbghlyj at 2022-1-7 04:27:00依次输入以下GGB指令:
k=1
f:k y=x-1
A:intersect(f,yAxis)
k=0

便得到一个无穷远点A.保存ggb文件,扩展名改为zip,解压,找到geogebra.xml文件:
...
<element type="point" label="A">
<show object="true" label="true"/>
<objColor r="68" g="68" b="68" alpha="0.0"/>
<layer val="0"/>
<labelMode val="0"/>
<coords x="0.0" y="-1.0" z="0.0"/>
<pointSize val="4"/>
<pointStyle val="0"/>
</element>
...
geogebra内部的二维点表示为齐次坐标,$(x,y,z)$转换成坐标$\left(\frac xz,\frac yz\right)$,z值为"0.0"表示无穷远点.

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2025-4-21 14:28 GMT+8

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