若xyz=1,求 x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)越快越好~.

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若xyz=1,求 x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)越快越好~.
若xyz=1,求 x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)
越快越好~.

若xyz=1,求 x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)越快越好~.
如果是选择题或者是判断题最好做
令x=y=z=1 然后代入得1
这是最简单的办法
如果是大题就这样解
x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)
=x/(xy+x+xyz)+y/(yz+y+1)+yz/(zyx+yz+y)
=1/(y+1+yz)+y/(yz+y+1)+yz/(y+1+yz)
=(1+y+yz)/(y+1+yz)
=1

多给点分，我把解答过程和讲解详细说给你

xyz=1
x/(xy+x+1) +y/(yz+y+z) +z/(zx+z+1)
=x/(xy+x+xyz)+y/(yz+y+1)+yz/(zyx+yz+y)
=1/(y+1+yz)+y/(yz+y+1)+yz/(y+1+yz)
=(1+y+yz)/(y+1+yz)
=1

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