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根式的化简是初中代数的一个重要内容,是进一步学习的基础,也是各类考试的热点.其中最简二次根、同类根式、根式的四则运算,有理化分母,的化简等都是最基本的内容.在解答方法上除了一般的恒等变形的常用方法外又有其独特的方法,在运用因式分解法、配方法、变量替换法、整体法等通法的同时充分利用共轭因式的性质有理化因式对解题会有很大的帮助,作为竞赛数学的学习,我们应侧重于知识和方法的综合运用.
Root-based simplification is an important content of junior high school algebra, and it is the basis for further study. It is also a hot spot for all kinds of examinations. Among them, the simplest secondary roots, the same type of roots, and the roots of four operations, rational denominators, and simplifications are all The most basic content. In addition to the common methods of constant deformation, there are unique methods in solving methods. In the use of factorization method, matching method, variable replacement method, holistic method, etc. The reasoning of the nature of the yoke factor has great help in solving the problem. As the study of competitive mathematics, we should focus on the comprehensive application of knowledge and methods.