ax^2-(x^2+1)x+a>0 a(x^2+1)-(x^2+1)x>0 (a-x)(x^2+1)>0 因为x^2+1恒大于1,是正数,所以不等式两边同乘1/(x^2+1),不等号方向不变。得:a-x>0解得x