在椭圆x^2/a^2+y^2/b^2=1(a>b>0)上一点M向x轴作垂线,恰好通过椭圆的左焦点 F1,且其长轴右端点A及短轴上端点B的连线AB与OM平行.求此椭圆的离心率.2.P为椭圆上一点,F2为右焦点,当|PF1|*|PF2|取最大值,
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![在椭圆x^2/a^2+y^2/b^2=1(a>b>0)上一点M向x轴作垂线,恰好通过椭圆的左焦点 F1,且其长轴右端点A及短轴上端点B的连线AB与OM平行.求此椭圆的离心率.2.P为椭圆上一点,F2为右焦点,当|PF1|*|PF2|取最大值,](/uploads/image/z/11011164-60-4.jpg?t=%E5%9C%A8%E6%A4%AD%E5%9C%86x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2%3D1%EF%BC%88a%3Eb%3E0%29%E4%B8%8A%E4%B8%80%E7%82%B9M%E5%90%91x%E8%BD%B4%E4%BD%9C%E5%9E%82%E7%BA%BF%2C%E6%81%B0%E5%A5%BD%E9%80%9A%E8%BF%87%E6%A4%AD%E5%9C%86%E7%9A%84%E5%B7%A6%E7%84%A6%E7%82%B9+F1%2C%E4%B8%94%E5%85%B6%E9%95%BF%E8%BD%B4%E5%8F%B3%E7%AB%AF%E7%82%B9A%E5%8F%8A%E7%9F%AD%E8%BD%B4%E4%B8%8A%E7%AB%AF%E7%82%B9B%E7%9A%84%E8%BF%9E%E7%BA%BFAB%E4%B8%8EOM%E5%B9%B3%E8%A1%8C.%E6%B1%82%E6%AD%A4%E6%A4%AD%E5%9C%86%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87.2.P%E4%B8%BA%E6%A4%AD%E5%9C%86%E4%B8%8A%E4%B8%80%E7%82%B9%2CF2%E4%B8%BA%E5%8F%B3%E7%84%A6%E7%82%B9%2C%E5%BD%93%7CPF1%7C%2A%7CPF2%7C%E5%8F%96%E6%9C%80%E5%A4%A7%E5%80%BC%2C)
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