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如何求抛物线的切线

更新时间: 2020-09-24 00:00:00     

1、求出一点到焦点的距离,可以用两点间距离公式,也可利用到准线的距离间接求得;

2、在抛物线的对称轴上找一点,使得这点到焦点的距离与第1步求得的距离相等;

3、求过已知点和第二步求得的点的直线,这条直线就是所求切线;

4、原理实际上运用了抛物线的光学性质,即:过抛物线上任一点A,作准线的垂线,垂足为B,连接A与焦点F , 则过A的切线为角BAF的平分线。

关键词: 如何 抛物线 切线

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