若干不等式的几何意义及其应用

Geometric meaning and application of a number of lnequality

本文基于大学期间所学知识,以及部分文献为基准,首先阐述不等式的发展历程,然后主要探究大学期间所学的不等式,并把常用不等式分为两类:重要不等式和其他常见不等式。为此,本文详细列举了十多个不等式,详细分析和深入研究其几何意义。并在定理2.2的基础下,给出了新的定义和推广,并阐述了其几何意义和应用。

Based on the knowledge and part of philology during college, the paper, firstly expounded inequality of devel- opment, and then explores what they have learned during the main university inequality, and put into two categories ： im- portant inequalities and other common inequality. Thus, the paper detailed a dozen inequality, detailed analysis and in - depth study of its geometric meaning. Theorem 2.2 basis under the new definition is given and promotion, and elabo- rates its geometric meaning and application.