如何把圆五等分、六等分?

2025-03-15 14:52:52
推荐回答(2个)
回答1:

先在圆中按此方法:
1.
作互相垂直的直径MN和AP;
2.
平分半径OM于K,得OK=KM;
3.
以K为圆心,KA为半径画弧与ON交于H,
AH即为正五边形的边长;
4.
以AH为弦长,在圆周上截得A、B、C、D、E各点,顺次连结这些点。
作一个正五边ABCDE,再作射线OA、OB、OC、OD、OE,它们与圆周的交点就是五等分点

回答2:

用尺规把圆分成五等分的方法:
方法一:
1、在白纸上作一定点o,以o为圆心,以适当长度为半径,作圆o。
2、作一条直径az,再作一条与之垂直的直径xy。
3、作oy的中点m。
4、以m为圆心,ma为半径,作圆弧⌒an和半径ax交于n。
5、以a为圆心,an为半径,在圆上连续截取等弧,使弦ab=bc=cd=de=an。
6、连接ad,ac,eb,ec,bd,就得到一个五角星。
五个顶点就是等分点
方法二:
首先,作十字线4等分园,就是画两条互相垂直的直径,(以后所说的直径半径均指作的这2条互相垂直的)取其中一条半径的中点a连结与他相临的一条直径与圆的交点b,以前面的所找的中点a为圆心以中点a连结与他相临的一条直径与圆的交点b的长度为半径
l
作弧与另一条半径相交与点c,连结bc,以bc为半径,圆上任一点为圆点割圆即可5等分圆
采纳
谢谢

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