x^2+y^2-2x+2y=-2,x^2+y^2-2x+2y+2=0x^2-2x+1+y^2+2y+1=0(x-1)^2+(y+1)^2=0x-1=0,y+1=0x=1,y=-1所以x^2005+x^2006=1+1=2