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从不等式的‘外形’结构特征,构造与之相匹配或等价的函数,通过研究函数的性质(单调性、奇偶性、值域或图象等),可方便地解决某些不等式(量)的问题.用函数的性质研究不等量关系,使解题渠道更宽、方法也更多.一、含字母的不等关系量的判定字母的不等量问题,常突出的是字母多变量多,关系不好确定,但从结构上看,又很有些规律,这种规律,往往又与某个(些)函数相关,关键是如何构造与它等价的函数.例1(2012年浙江高考题)设a>0,b>
According to the ’shape’ structure of inequalities, we can construct some matching or equivalent functions to solve certain inequalities easily by studying the properties of the functions (monotonicity, parity, range or image) The nature of the function of the unequal relationship between the study to make the problem-solving channels wider, more methods. First, the unequal relationship between the letters with the letters to determine the unequal amount of questions, often highlighted the letter multivariate Many, the relationship is not good to determine, but from the structural point of view, there are some laws, this law is often associated with some (some) function, the key is how to construct its equivalent function Example 1 (Zhejiang Entrance exam) set a> 0, b>