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【简答题】
已知椭圆的中心是坐标原点O,焦点在x轴上,离心率为 2 2 ,又椭圆上任一点到两焦点的距离和为 2 2 ,过点M(0, - 1 3 )与x轴不垂直的直线l交椭圆于P、Q两点. (1)求椭圆的方程; (2)在y轴上是否存在定点N,使以PQ为直径的圆恒过这个点?若存在,求出N的坐标,若不存在,说明理由.
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