圆x2+y2-ax+2y+1=0的圆心( a 2 ,?1),因为圆x2+y2-ax+2y+1=0与圆x2+y2=1关于直线y=x-1对称,所以( a 4 ,? 1 2 )满足直线y=x-1方程,解得a=2,设圆心P到直线x=-1的距离等于r,P(x,y ),则由题意有可得 PC=1+r,即 (x?1)2+(y+1)2 =1+1+x,化简可得 y2-6x+2y-2=0,故选C.