对于以下不等式问题 ,本文将它们作统一的推广 ,从而较好地揭示了问题的实质和它们相互间的联系 .问题 1[1] (第 2 6届独联体数学奥林匹克试题 )证明 :对任意实数ａ1,ｂ1,有不等式 ａ2ｂ- 1+ｂ2 ａ- 1≥ 8.问题 2 [2 ] 设ａ1,ａ2 ,… ,ａｎ 是大于 1的实数 ,且ｋ≥ 2 ,ｋ∈Ｎ For the following inequality problems, this article will be a unified promotion of them, so as to better reveal the essence of the issues and their mutual relations. Question 1 [1] (2nd 6th CIS mathematics Olympics test) proof: for any Real numbers a1, b1, inequality a2b-1 + b2 a- 1 ≥ 8. Problem 2 [2] Let a1, a2,..., an be a real number greater than 1, and k ≥ 2 and k∈N