文[1 ]指出“研究性题材已露脸高考”,并呼吁“让研究性学习走进高三数学课堂”.本文通过对由一个平凡的等式到数学奥林匹克问题的创造过程的思维揭露,提倡奥林匹克数学也要研究性学习.1　从等式到不等式对于正数a1,a2 ,…,an,下面的等式是显然的:a1+a22 +a2 +a32 +…+an - 1+a The article [1] pointed out that “research topics have been exposed on the face of the college entrance examination” and called for “letting research-based learning into the third grade mathematics class.” This article expounds on the idea of ​​exposing the process of creation from a trivial equation to a mathematical Olympics issue. Mathematics also studies learning. From equations to inequalities For positive numbers a1,a2,...,an, the following equation is obvious: a1+a22 +a2 +a32 +...+an - 1+a