x+y-z=a(x+y-z)^2=a^2即:x^2+y^2+z^2+2xy-2xz-2yz=a^2x^2+y^2+z^2+2(xy-xz-yz)=a^2x^2+y^2+z^2+2b=a^2x^2+y^2+z^2=a^2-2b
令t=-zx+y+t=a,xy+yt+tx=bx^2+y^2+t^2=a^2-2b=x^2+y^2+z^2
x^2+y^2+z^2+2xy+2yz+2xz-2xy-2yz-2xz=(x+y+z)^2-2(xy+yz+xz)=a^2-2b