因为函数y=f(x)(x≠0)是奇函数,
且当x∈(0,+∞)时是增函数,f(1)=0
x(x-1/2) < -1 或 0 < x(x-1/2) < 1
解得 :(1-√17)/4 < x < 0 或 1/2 < x < (1+√17)/4