已知椭圆C:X*2/a*2+y*2/b*2=1(a>b>0)de左顶点和右焦点分别为A,F,右准线为直线m,若直线m上存在点Q,使△AFQ为等腰三角形,求椭圆C的离心率的取值范围.
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![已知椭圆C:X*2/a*2+y*2/b*2=1(a>b>0)de左顶点和右焦点分别为A,F,右准线为直线m,若直线m上存在点Q,使△AFQ为等腰三角形,求椭圆C的离心率的取值范围.](/uploads/image/z/8525881-1-1.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3AX%2A2%2Fa%2A2%2By%2A2%2Fb%2A2%3D1%28a%3Eb%3E0%29de%E5%B7%A6%E9%A1%B6%E7%82%B9%E5%92%8C%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E4%B8%BAA%2CF%2C%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%BA%E7%9B%B4%E7%BA%BFm%2C%E8%8B%A5%E7%9B%B4%E7%BA%BFm%E4%B8%8A%E5%AD%98%E5%9C%A8%E7%82%B9Q%2C%E4%BD%BF%E2%96%B3AFQ%E4%B8%BA%E7%AD%89%E8%85%B0%E4%B8%89%E8%A7%92%E5%BD%A2%2C%E6%B1%82%E6%A4%AD%E5%9C%86C%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.)
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