已知x+(y分之1) =z+(x分之1)=1,求y+(z分之1)的值
问题描述：
已知x+(y分之1) =z+(x分之1)=1,求y+(z分之1)的值
答
∵x+1/y = z+1/x = 1
根据x+1/y = 1得：1/y=1-x,y = 1/(1-x)
根据 z+1/x = 1得：z=1-1/x=(x-1)/x,1/z = x/(x-1)
∴y+1/z = 1/(1-x) + x/(x-1) = 1/(1-x) - x/(1-x) = (1-x) / (1-x) = 1