安佳奶粉银边和白边:⑧17. 已知:xyz=1 (5.8)

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⑧17. 已知:xyz=1 ,
求 x/(xy+x+1)+y/(yz+y+1)+z/(xz+z+1)
回答者:baiyuanyuand - 试用期 一级 3-25 13:44
=1/(yz+y+1)+y/(yz+y+1)+yz/(xyz+yz+y)
=(1+y)/(yz+y+1)+yz/(yz+y+1)
这两部好像出问题了,有点怪怪的...

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

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

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

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

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

啊。萨