(2x+1)/(x²-2x+1)=(2x+1)/(x-1)²令(2x+1)/(x-1)²>0平方项恒非负,(x-1)²≥0,分式有意义,(x-1)²≠0,因此(x-1)²>0要不等式成立,只要2x+1>0且x-1≠02x+1>0 x>-1/2x-1≠0 x≠1综上,得x>-1/...