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【简答题】
设点 是曲线 上的动点，点 到点（0，1）的距离和它到焦点 的距离之和的最小值为 . （1）求曲线C的方程； （2）若点 的横坐标为1，过 作斜率为 的直线交 ，交 轴 ，过点 且与 垂直的直线与 交于另一点 ，问是否存在实数 ，使得直线 与曲线 相切？若存在，求出 的值；若不存在，请说明理由.
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