xyz=1
得x=1/yz
xy=1/z
xz=1/y
x/xy+x+1+y/yz+y+1+z/xz+z+1
=(x/xy+x+1)+(y/yz+y+1)+(z/xz+z+1)
=(1/yz)/(1/z+1/yz+1)+y/(yz+y+1)+z/(1/y+z+1)
=1/(yz+y+1)+y/(yz+y+1)+yz/(yz+y+1)
=(yz+y+1)/(yz+y+1)
=1
xyz=1
得x=1/yz
xy=1/z
xz=1/y
x/xy+x+1+y/yz+y+1+z/xz+z+1
=(x/xy+x+1)+(y/yz+y+1)+(z/xz+z+1)
=(1/yz)/(1/z+1/yz+1)+y/(yz+y+1)+z/(1/y+z+1)
=1/(yz+y+1)+y/(yz+y+1)+yz/(yz+y+1)
=(yz+y+1)/(yz+y+1)
=1