选择题:已知圆 M过点(1, 0), 且与直线 x=﹣ 1 相切.(1) 求圆心 M的轨迹 C 的方程;(2) 过点 P(2, 0) 作直线 l 交轨迹 C 于 A、

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题目内容:

已知圆 M过点(1, 0), 且与直线 x=﹣ 1 相切.

(1) 求圆心 M的轨迹 C 的方程;

(2) 过点 P(2, 0) 作直线 l 交轨迹 C 于 A、 B 两点, 点 A 关于 x 轴的对称点为 A′ ,过点 P 作 PQ⊥A′ B, 垂足为 Q, 在平面内是否存在定点 E, 使得|EQ|为定值. 若存在,求出点 E 的坐标; 若不存在, 请说明理由.

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