求正十七边形的尺规作图方法

求作十七边形的尺规作图方法,高斯发明的那个.......
2025-03-16 09:36:55
推荐回答(2个)
回答1:

步骤一:
  给一圆O,作两垂直的半径OA、OB,
  作C点使OC=1/4OB,
  作D点使∠OCD=1/4∠OCA,
  作AO延长线上E点使得∠DCE=45度。
步骤二:
  作AE中点M,并以M为圆心作一圆过A点,此圆交OB于F点,
  再以D为圆心,作一圆过F点,此圆交直线OA于G4和G6两点。
步骤三:
  过G4作OA垂直线交圆O于P4,
  过G6作OA垂直线交圆O于P6,
  则以圆O为基准圆,A为正十七边形之第一顶点P4为第四顶点,P6为第六顶点。
  连接P4P6,以1/2弧P4P6为半径,在圆上不断截取,即可在此圆上截出正十七边形的所有顶点。

回答2:

你说的平面图形吗? 记得高二数学里面讲过吧,正多边形只有八种,好象没有17这个数字的。也请你核实一下吧

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