已知X+Y+Z=1,且XY+YZ+XZ=0,求XX+YY+ZZ的值?

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已知X+Y+Z=1,且XY+YZ+XZ=0,求XX+YY+ZZ的值?

已知X+Y+Z=1,且XY+YZ+XZ=0,求XX+YY+ZZ的值?
已知X+Y+Z=1,且XY+YZ+XZ=0,求XX+YY+ZZ的值?

已知X+Y+Z=1,且XY+YZ+XZ=0,求XX+YY+ZZ的值?
(X+Y+Z)*(X+Y+Z)=XX+YY+ZZ+2(XY+YZ+XZ)=1,又XY+YZ+XZ=0,所以XX+YY+ZZ=1

答案是 1