直角坐标中P(1,0)C:(x-1)^2+(y-1)^2=2(不包括原点)l:y=-x+1联立方程,得到2x^2-2x-1=0直接用两根x1,x2运算PA^2+PB^2=(1+k^2)(x1-xP)^2+(1+k^2)(x2-xP)^2(已知k=-1)=2[x1^2+x^2-2xP(x1+x2)+2xP^2](xP=1)=2[(x1+x2)^2-2x1x2-2(x1+x2)+2]=4