椭圆G:x^2/a^2+y^2/b=1(a>b>0)的两个焦点F1(-c,o)F2(c,o),M是椭圆上的一点,且满足向量F1M*F2M=0 求离心率e的取值范围:当离心率取得最小值时,点N(0,3)到椭圆上的点最远距离为5√2.求此时椭圆G的
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![椭圆G:x^2/a^2+y^2/b=1(a>b>0)的两个焦点F1(-c,o)F2(c,o),M是椭圆上的一点,且满足向量F1M*F2M=0 求离心率e的取值范围:当离心率取得最小值时,点N(0,3)到椭圆上的点最远距离为5√2.求此时椭圆G的](/uploads/image/z/3704870-38-0.jpg?t=%E6%A4%AD%E5%9C%86G%EF%BC%9Ax%5E2%2Fa%5E2%2By%5E2%2Fb%3D1%28a%3Eb%3E0%29%E7%9A%84%E4%B8%A4%E4%B8%AA%E7%84%A6%E7%82%B9F1%EF%BC%88-c%2Co%EF%BC%89F2%28c%2Co%29%2CM%E6%98%AF%E6%A4%AD%E5%9C%86%E4%B8%8A%E7%9A%84%E4%B8%80%E7%82%B9%2C%E4%B8%94%E6%BB%A1%E8%B6%B3%E5%90%91%E9%87%8FF1M%2AF2M%3D0+%E6%B1%82%E7%A6%BB%E5%BF%83%E7%8E%87e%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%9A%E5%BD%93%E7%A6%BB%E5%BF%83%E7%8E%87%E5%8F%96%E5%BE%97%E6%9C%80%E5%B0%8F%E5%80%BC%E6%97%B6%2C%E7%82%B9N%EF%BC%880%2C3%EF%BC%89%E5%88%B0%E6%A4%AD%E5%9C%86%E4%B8%8A%E7%9A%84%E7%82%B9%E6%9C%80%E8%BF%9C%E8%B7%9D%E7%A6%BB%E4%B8%BA5%E2%88%9A2.%E6%B1%82%E6%AD%A4%E6%97%B6%E6%A4%AD%E5%9C%86G%E7%9A%84)
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