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实数大小的比较这类题型,在高考中常考常新,它不仅考查数学的概念、性质、公式、定理和基本的数学思维方法与技能,而且还能考查学生的数学学科能力、理性思维能力以及学习潜力.笔者发现,这类试题题面上是比较数的大小,实际上是在考查函数的性质,需要我们在观察数据特点,分析结构特征的基础上,发掘题设与结论之间的必然联系,从而构造出相应的函数模型.下面举例谈谈构造函数,巧
Comparison of the real number of these types of questions, often freshly taken in the college entrance examination, it not only examines the concept of mathematics, nature, formulas, theorems and basic mathematical thinking methods and skills, but also to examine students’ mathematical ability, rational thinking ability As well as the learning potential.I found that such questions on the subject is a relatively large number of sizes, in fact, is to examine the nature of the function, we need to observe the characteristics of the data, analysis of structural characteristics, based on the excavation between the set and conclusion Inevitable contact, and thus construct the corresponding function model. The following examples talk about the constructor, clever