已知xyz=1,x+y+z=2,x方+y方+z方=16,求xy+1/2z+yz+1/2x+zx+1/2y=?
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已知xyz=1,x+y+z=2,x方+y方+z方=16,求xy+1/2z+yz+1/2x+zx+1/2y=?
![已知xyz=1,x+y+z=2,x方+y方+z方=16,求xy+1/2z+yz+1/2x+zx+1/2y=?](/uploads/image/z/16938999-63-9.jpg?t=%E5%B7%B2%E7%9F%A5xyz%3D1%2Cx%2By%2Bz%3D2%2Cx%E6%96%B9%2By%E6%96%B9%2Bz%E6%96%B9%3D16%2C%E6%B1%82xy%2B1%2F2z%2Byz%2B1%2F2x%2Bzx%2B1%2F2y%3D%3F)
x+y+z=2 那么(x+y+z)方=4=x方+y方+z方+2xy+2xz+2yz,xy+1/2z+yz+1/2x+xz+1/2y=xy+yz+zx+1/2(x+y+z),4=16+2(xy+xz+yz) 综上所述答案为-5
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