第二道综合题已知椭圆C:(x^2)/(a^2)+(y^2)/(b^2)=1(a>b>0)的离心率为二分之一根号二,短轴端点到焦点的距离为2(1)求椭圆方程(2)过左焦点F作椭圆的弦MN,问在x轴上是否存在一点P,使得PM和PN的内
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![第二道综合题已知椭圆C:(x^2)/(a^2)+(y^2)/(b^2)=1(a>b>0)的离心率为二分之一根号二,短轴端点到焦点的距离为2(1)求椭圆方程(2)过左焦点F作椭圆的弦MN,问在x轴上是否存在一点P,使得PM和PN的内](/uploads/image/z/14192287-7-7.jpg?t=%E7%AC%AC%E4%BA%8C%E9%81%93%E7%BB%BC%E5%90%88%E9%A2%98%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%EF%BC%9A%28x%5E2%29%2F%28a%5E2%29%2B%28y%5E2%29%2F%28b%5E2%29%3D1%28a%3Eb%3E0%29%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%E4%BA%8C%E5%88%86%E4%B9%8B%E4%B8%80%E6%A0%B9%E5%8F%B7%E4%BA%8C%2C%E7%9F%AD%E8%BD%B4%E7%AB%AF%E7%82%B9%E5%88%B0%E7%84%A6%E7%82%B9%E7%9A%84%E8%B7%9D%E7%A6%BB%E4%B8%BA2%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86%E6%96%B9%E7%A8%8B%EF%BC%882%EF%BC%89%E8%BF%87%E5%B7%A6%E7%84%A6%E7%82%B9F%E4%BD%9C%E6%A4%AD%E5%9C%86%E7%9A%84%E5%BC%A6MN%2C%E9%97%AE%E5%9C%A8x%E8%BD%B4%E4%B8%8A%E6%98%AF%E5%90%A6%E5%AD%98%E5%9C%A8%E4%B8%80%E7%82%B9P%2C%E4%BD%BF%E5%BE%97PM%E5%92%8CPN%E7%9A%84%E5%86%85)
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