数学分析中的化归法
2.2 常见的化归方法及化归思想    3
      2.2.1 化归的方法..............................................................3               
      2.2.2 化归的思想..............................................................4           
      2.3.1 化归的方向与一般模式....................................................5               
      2.3.2 化归法的原则............................................................5        
3.2.1 在极限中的体现.........................................................12               
      3.2.2 在微分中的体现.........................................................15    unfamiliar
3.2.3 在积分中的体现... .....................................................16               
      3.2.4 在级数中的体现.........................................................22

数学分析中的化归法
摘要：化归法是数学中常用的一种研究和解决数学问题的方法，有着重要的作用和意义。何谓“化归”，从字面上看可以理解为转化和归结的的意思。化归法主要是将一些不熟悉和未解觉的问题通过各种转化，变成我们已经熟悉和解决的问题或是容易解决的问题，从而达到证明和求解的目的，它是解决难题的有效途径；数学分析是一门内容复杂的课程，主要研究极限、导数、积分、级数等内容。化归法自始至终都渗透在数学分析教材中,因为数学分析所研究得对象是函数，而研究函数的方法是极限，在数学分析中所有的概念几乎都离不开极限，而极限是为了使一些实际问题的求解更精确而产生的，在求这些实际问题的过程中都运用到了化归法。化归法在数学分析中有着广泛的应用，在数学分析中有很多的问题都可以用化归的思想来解决。
关键词：化归；化归法；数学分析；化归法的应用
中图分类号：O1-0
The reduction method of mathematical analysis
Abstract: Reduction method is a common method of researching and solving the mathematics problems which plays an important role and has big significance. What is “reduction”, it can be literally understood as the transformation and resolution. In order to achieve the purpose of proving and solving, reduction is mainly to transform some unfamiliar and unsolved problems into familiar and solved problems or the problem which is easy to solve, it is an effective approach of solving the difficult problems. Mathematical analysis is a complex course, mainly studies the limit, derivative, integral, series etc. Reduction method always infiltrates in teaching of mathematical analysis, because the research object of mathematical analysis is the function, and studies on the function of the method is the limit, in the mathematical analysis, all the concepts are almost inseparable from the limit, and the existence of limit is to make some resolutions of practical problem more precise, the reduction method is used in the process of solving the practical problem. Reduction has a wide range of applications in mathematical analysis; a lot of problems can be solved by the reduction.

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