已知椭圆C:x²/4+y²=1的准方程.(1)求椭圆C的焦点坐标及离心率;(2)过点A(0,√2)且斜率为K的直线L与椭圆C相交于P,Q两点,若线段PQ的中点横坐标是 -4√2/5,求直线L的方程.
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![已知椭圆C:x²/4+y²=1的准方程.(1)求椭圆C的焦点坐标及离心率;(2)过点A(0,√2)且斜率为K的直线L与椭圆C相交于P,Q两点,若线段PQ的中点横坐标是 -4√2/5,求直线L的方程.](/uploads/image/z/1808649-9-9.jpg?t=%E5%B7%B2%E7%9F%A5%E6%A4%AD%E5%9C%86C%3Ax%26%23178%3B%2F4%2By%26%23178%3B%3D1%E7%9A%84%E5%87%86%E6%96%B9%E7%A8%8B.%EF%BC%881%EF%BC%89%E6%B1%82%E6%A4%AD%E5%9C%86C%E7%9A%84%E7%84%A6%E7%82%B9%E5%9D%90%E6%A0%87%E5%8F%8A%E7%A6%BB%E5%BF%83%E7%8E%87%EF%BC%9B%EF%BC%882%EF%BC%89%E8%BF%87%E7%82%B9A%280%2C%E2%88%9A2%29%E4%B8%94%E6%96%9C%E7%8E%87%E4%B8%BAK%E7%9A%84%E7%9B%B4%E7%BA%BFL%E4%B8%8E%E6%A4%AD%E5%9C%86C%E7%9B%B8%E4%BA%A4%E4%BA%8EP%2CQ%E4%B8%A4%E7%82%B9%2C%E8%8B%A5%E7%BA%BF%E6%AE%B5PQ%E7%9A%84%E4%B8%AD%E7%82%B9%E6%A8%AA%E5%9D%90%E6%A0%87%E6%98%AF+-4%E2%88%9A2%2F5%2C%E6%B1%82%E7%9B%B4%E7%BA%BFL%E7%9A%84%E6%96%B9%E7%A8%8B.)
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