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【简答题】
如图，在平面直角坐标系中，以点C（1，1）为圆心，2为半径作圆，交x轴于A．B两点，开口的抛物线经过点A，B，且其顶点P在⊙C上． 小题1:求∠ACB的大小 小题2:写出A，B两点的坐标 小题3:由圆与抛物线的对称性可知抛物线的顶点P的坐标为（1，3），求出抛物线的解析式； 小题4:在该抛物线上是否存在一点D点，使线段OP与CD互相平分？若存在，求出点D的坐标；若不存在，请说明理由．
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