已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围
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已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围X^2+Y^2+Z^
已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围
已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围
已知X^2+Y^2+Z^2=1,求xy+yz+xz的取值范围
X^2+Y^2+Z^2=1 (1) X^2+Y^2+Z^2+2xy+2yz+2xz=(x+y+z)^2 (x+y+z)^2=>0 xy+yz+xz=[(x+y+z)^2-1]/2=>-1/2 (2)(x-y)^2+(y-z)^2+(z-x)^2 =2(x^2+y^2+z^2-xy-yz-zx)>=0 xy+yz+zx
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