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【简答题】
已知复数 均为实数， 为虚数单位，且对于任意复数 。 （1）试求 的值，并分别写出 和 用 、 表示的关系式； （2）将( 、 )作为点 的坐标，( 、 )作为点 的坐标，上述关系可以看作是坐标平面上点的一个变换：它将平面上的点 变到这一平面上的点 ， 当点 在直线 上移动时，试求点 经该变换后得到的点 的轨迹方程； （3）是否存在这样的直线：它上面的任一点经上述变换后得到的点仍在该直线上？若存在，试求出所有这些直线；若不存在，则说明理由。
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