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椭圆的参数方程怎么推导的?

更新时间: 2021-05-24 19:10:45     

1、直角坐标系的椭圆方程是——x2/a2+y2/b2=1,

2、∵cos2t+sin2t=1,

∴x2/a2+y2/b2= cos2t+sin2t,

∴x2/a2 = cos2t ,y2/b2=sin2t,

x2 = a2cos2t ,y2=b2sin2t,

3、于是有椭圆的参数方程——x= acost ,y=bsint。

关键词: 椭圆 参数 方程 怎么 推导

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