(x^2-2x+1)+(y^2-2y+1)-1=0x和y是整数,所以(x-1)^2和(y-1)^2是正整数或0则两个都等于0或一个等于0,一个等于1两个都等于0,x-1=0,y-1=0,x+y=2(x-1)^2=0,(y-1)^2=1x-1=0,x=1y-1=1或-1,y=2或0x+y=3或1(x-1)^2=1,(y-1)^2=...