用圆规怎样把圆分成8等分

2025-03-16 17:22:07
推荐回答(4个)
回答1:

在圆上随便画一条直径
利用圆规画这条直径的垂直平分线——以圆心为轴,任意长L为半径画弧,交直径与AB两点,分别以AB为轴,大于1/2L长为半径画弧,两个弧分别交于CD两点,链接CD,CD为直径的垂直平分线,圆被四等分;
画四个九十度角的平分线——以圆心O为轴,任意长M为半径画弧度,交OA于E,交OC于F,分别以EF为圆心,大于1/2EF为半径画弧,两弧交于Q,链接OQ并反向延长,则画好了一条平分线,另外一条同理。

如果满意记得采纳哦!
望采纳~
谢谢~~

回答2:

可以参考正八边形做法(和八等分圆一样)
尺规做法如下:
1.做正方形ABCD的外接圆圆O。(正方形做法 可以做两条 相互垂直的直径(用中垂线) 然后连接各交点)
2.过圆心O向任意一边(设为AB)作垂线并延长,延长线交圆弧于E。
4.然后圆规量取AE长度,再以A、C为圆心画弧,得到与圆O的交点,分别为E、F、G、H。
5.连接EAFBGCHD,即为正八边形。

回答3:

可以参考正八边形做法(和八等分圆一样)
尺规做法如下:
1.做正方形ABCD的外接圆圆O。(正方形做法 可以做两条 相互垂直的直径(用中垂线) 然后连接各交点)
2.过圆心O向任意一边(设为AB)作垂线并延长,延长线交圆弧于E。
4.然后圆规量取AE长度,再以A、C为圆心画弧,得到与圆O的交点,分别为E、F、G、H。
5.连接EAFBGCHD,即为正八边形。

用尺规的话 就这一种了

回答4:

这个太难了

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