已知椭圆x²/a²+y²/b²=1(a>b>0)的右焦点F,其右准线与x轴的交点为A,在椭圆上存在点P满足线段AP的垂直平分线过点F,则椭圆的离心率的取值范围是什么?
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/30 23:24:44
![已知椭圆x²/a²+y²/b²=1(a>b>0)的右焦点F,其右准线与x轴的交点为A,在椭圆上存在点P满足线段AP的垂直平分线过点F,则椭圆的离心率的取值范围是什么?](/uploads/image/z/1830911-23-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86x%26sup2%3B%2Fa%26sup2%3B%2By%26sup2%3B%2Fb%26sup2%3B%3D1%EF%BC%88a%EF%BC%9Eb%EF%BC%9E0%EF%BC%89%E7%9A%84%E5%8F%B3%E7%84%A6%E7%82%B9F%2C%E5%85%B6%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%8Ex%E8%BD%B4%E7%9A%84%E4%BA%A4%E7%82%B9%E4%B8%BAA%2C%E5%9C%A8%E6%A4%AD%E5%9C%86%E4%B8%8A%E5%AD%98%E5%9C%A8%E7%82%B9P%E6%BB%A1%E8%B6%B3%E7%BA%BF%E6%AE%B5AP%E7%9A%84%E5%9E%82%E7%9B%B4%E5%B9%B3%E5%88%86%E7%BA%BF%E8%BF%87%E7%82%B9F%2C%E5%88%99%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%E6%98%AF%E4%BB%80%E4%B9%88%3F)
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