已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.

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已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.已知

已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.
已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.

已知x+y+z=1,且xy+yz+zx=0,求x²+y²+z²的值.
(x+Y+Z)^2=x^2+2XY+Y^2+2YZ+Z^2+2ZX
X^2+Y^2+Z^2=(X+Y+Z)^2-2(XY+YZ+ZX)=1-0=1