IMO中的代数不等式问题研究(Ⅰ)

A Study on the Problems of Algebra Inequality in International Mthematics Olympics

分析研究了国际数学奥林匹克竞赛中的代数不等式问题,认为:它已成为发展中的奥林匹克数学的重要组成部分.这类问题的解决,体现了人的数学探索能力、创造性思维能力、灵活分析问题与解决问题的能力,实质是融数学机智、数学精神、数学文化、数学气质、数学修养于一体的人的全面发展.

Using basic method and probability method,this article analyses and researches the algebra inequality problems in Intemational Mathematics Olympics.Conalusion is obtained as follows,inequality problems have already become the important component of developing Olympic mathematics;the solving of the problems reflects man's mathematics exploring ability,creative thinking ability,flexible ability to analyse and solve the problems;its essence is to pursue man's all-round development concerning mathematics wisdom,mathematics spirit,mathematics culture,mathematics makings,mathematics training and development.