基本不等式的应用  

Application of Fundamental Inequality

作　　者：葛怡彤 GE Yitong(Jilin Normal University,Changchun,Jilin Province,130000 China)

机构地区：[1]吉林师范大学,吉林长春130000

出　　处：《科技资讯》2020年第30期138-139,142,共3页Science & Technology Information

摘　　要：基本不等式选自于普通高中教科书(人教A版)必修一第二章内容,它不仅是不等式这一章的核心,而且在高中数学教材中占据重要的地位。在不等式的证明以及利用基本不等式求最值等问题中起到工具性的作用。将基本不等式应用于具体的实际问题中,有效地培养学生数学思维能力,是理论数学与应用数学结合的良好示范。该文以基本不等式中的常见题型为例,探究其常见题型的解题思路。The basic inequality is selected from the second chapter of compulsory 1 in the general high school textbooks(Teaching A Version).It is not only the core of the inequality chapter,but also occupies an important position in the high school mathematics textbooks.It plays an instrumental role in proving inequality and using basic inequality to calculate the maximum value.It is a good demonstration of the combination of theoretical mathematics and applied mathematics to apply basic inequalities to practical problems and effectively cultivate students’mathematical thinking ability.In this paper,the common types of questions in basic inequalities are taken as examples to explore their solutions.

关 键 词：基本不等式 工具性作用 常见题型 解题思路 

分 类 号：G63[文化科学—教育学]