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已知椭圆C： x 2 a 2 + y 2 b 2 =1(a＞b＞0) 的右焦点为F（1，0），且点（-1， 2 2 ）在椭圆C上． （1）求椭圆C的标准方程； （2）已知动直线l过点F，且与椭圆C交于A，B两点，试问x轴上是否存在定点Q，使得 QA ? QB =- 7 16 恒成立？若存在，求出点Q的坐标，若不存在，请说明理由．
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