∵ (x?1)2+y2 |x?4| = 1 2 ,∴ (x?1)2+y2 x 2?8x+16 = 1 4 ,整理求得 x2 4 + y2 3 =1,点C的轨迹为椭圆∴根据椭圆的定义可知|AC|+|BC|=2a=4故选C