本文试图以倒数法求解一类数列不等式, 这类不等式的题型特点是条件或结论中出现“分式”形式,则可先利用倒数法将递推式恰当变形为an+1和an之间的关系式,再采用累加(或累乘)等手段进行适当变形,直至问题解决．这类问题的关键是构造出可以连续应用的关系式． This paper attempts to solve a class of sequence inequalities by reciprocal method. If the type of inequality is characterized by “fractional” form in the condition or conclusion, then the reciprocal method can be used to first appropriately transform the recursive type between an +1 and an. The relationship, and then use cumulative (or multiplier) and other means to properly deform until the problem is solved. The key to this type of problem is to construct relationships that can be applied continuously.