已知xyz=1,求x/﹙xy+x+1﹚+y/﹙yz+y+1﹚+z/﹙xz+z+1﹚
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已知xyz=1,求x/﹙xy+x+1﹚+y/﹙yz+y+1﹚+z/﹙xz+z+1﹚
=x/(xy+x+xyz)+y/(yz+y+1)+yz(xyz+yz+y)
=1/(y+1+yz)+y/(yz+y+1)+yz/(1+y+yz)
=(1+yyz)/(1+y+yz)
=1
=1/(y+1+yz)+y/(yz+y+1)+yz/(1+y+yz)
=(1+yyz)/(1+y+yz)
=1
已知xyz=1,求x/﹙xy+x+1﹚+y/﹙yz+y+1﹚+z/﹙xz+z+1﹚
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