如图,椭圆x^2/a^2+y^2/b^2=1(a>b>0)的左右焦点分别是F1、F2,M、N是椭圆右准线上的两个动点,且向量F1M*向量F2N=0(1)向量OM*向量ON为定值(2)设椭圆离心率为1/2,MN的最小值为2根号15,求椭圆方程
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![如图,椭圆x^2/a^2+y^2/b^2=1(a>b>0)的左右焦点分别是F1、F2,M、N是椭圆右准线上的两个动点,且向量F1M*向量F2N=0(1)向量OM*向量ON为定值(2)设椭圆离心率为1/2,MN的最小值为2根号15,求椭圆方程](/uploads/image/z/400829-5-9.jpg?t=%E5%A6%82%E5%9B%BE%2C%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%28a%3Eb%3E0%29%E7%9A%84%E5%B7%A6%E5%8F%B3%E7%84%A6%E7%82%B9%E5%88%86%E5%88%AB%E6%98%AFF1%E3%80%81F2%2CM%E3%80%81N%E6%98%AF%E6%A4%AD%E5%9C%86%E5%8F%B3%E5%87%86%E7%BA%BF%E4%B8%8A%E7%9A%84%E4%B8%A4%E4%B8%AA%E5%8A%A8%E7%82%B9%2C%E4%B8%94%E5%90%91%E9%87%8FF1M%2A%E5%90%91%E9%87%8FF2N%3D0%EF%BC%881%EF%BC%89%E5%90%91%E9%87%8FOM%2A%E5%90%91%E9%87%8FON%E4%B8%BA%E5%AE%9A%E5%80%BC%EF%BC%882%EF%BC%89%E8%AE%BE%E6%A4%AD%E5%9C%86%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA1%2F2%2CMN%E7%9A%84%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BA2%E6%A0%B9%E5%8F%B715%2C%E6%B1%82%E6%A4%AD%E5%9C%86%E6%96%B9%E7%A8%8B)
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