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含参数不等式的恒成立问题是不等式中重要的题型之一,也是各类考试的热点.近年来全国各地高考数学试题,考查不等式恒成立的有关试题非常普遍,这类问题既含参数又含变量,往往与函数、数列、方程、几何有机结合起来,具有形式灵活、思维性强、不同知识交汇等特点.学生往往感到难以入手.解答这类问题的关键是等价转化,通过转化能使恒成立问题得到简化,而转化过程中往往渗透着多种数学思想和方法的运用.下面就含参数不等式恒成立问题的解决谈谈个人的见解.
The constant establishment of parametric inequalities is one of the important questions in inequality and also a hot spot for all kinds of examinations.In recent years, it is very common to test mathematics questions in colleges and universities to test inequalities, Variables are often combined with functions, numbers, equations, and geometries, and are characterized by flexible forms, strong thinking, and convergence of different knowledges.Students often find it hard to get started.The key to answering such questions is to convert them equally, The problem of establishing a constant is simplified, and the process of transforming often permeates the application of a variety of mathematical ideas and methods. Here to talk about personal insights into the solution to the problem of constancy with parametric inequalities.