原式可化为:(x-1)^2/(x-2)<0把分母翻到分子上得:(x-1)^2(x-2)<0(x-1)是偶次的,(x-2)是奇次的;(x-1)≠0;所以,(x-1)^2>0x-2<0x<2所以原不等式的解集是:(-∞,1)∪(1,2)