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[几何] 椭圆离心率

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xianjian Posted 2017-12-1 19:16 |Read mode
请指点一下,红色式子如何化成蓝色式子?
有什么好的解法?谢谢!!! QQ截图20171201191042.png

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 Author| xianjian Posted 2017-12-2 21:05
我迂回了一下,联立直线方程和椭圆方程直接求出M的坐标,然后和(*)式对照,能够得出答案。感觉有点绕。

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游客 Posted 2017-12-4 16:03
Last edited by 游客 2017-12-4 16:12红式整理后是蓝式的完全平方。(可以证明这里的椭圆和直线是相切的)

未命名.PNG

令椭圆左顶点为T,用AT=c 也可直接算。

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