设为x,y,z三个互不相等的数,且x+1/y=y+1/z=z=1/x,则xyz的值是

x-y=1/z-1/y=(y-z)/(yz) (1)
x-z=1/x-1/y=(y-x)/(yx) (2)
y-z=1/x-1/z=(z-x)/(xz) (3)
(1)*(2)*(3)
(x-y)(x-z)(y-z)=(y-z)(y-x)(z-x)/(x^2y^2z^2)
(y-x)(z-x)(y-z)=(y-z)(y-x)(z-x)/(x^2y^2z^2)
因x,y,互不相等，所以
x^2y^2z^2=1
xyz=1或xyz=-1

xyz=1,-1
过程：
x-y=(y-z)/yz
y-z=(z-x)/zx
x-z=(y-x)/xy
三式相乘即可得：(xyz)^2=1

我要确定一下题目

1.是X+(1/Y)还是（X+1)Y,
2.是Y+1/Z=Z=1/X还是Y+1/Z=Z+1/X