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数形结合是一种重要的数学思想方法,通过数与形之间的对应和转化,可使复杂的问题简单化,抽象的问题具体化,它兼有数的严谨与形的直观,是分析和解决问题的重要思想方法。一、数形结合,使模糊的认识清晰化数和形是紧密联系的,我们在研究数的时候,往往要借助于形,在探讨形的性质时,又往往离不开数。数与形是数学两个最基本的研究对象,把数量关系和空间形式结合起来去分析问题,往往可以达到事半功倍的效果。
The combination of number and shape is an important mathematical method. Through the correspondence and transformation between number and shape, complicated problems can be simplified and abstract problems can be concrete. Both of them are both rigorous and intuitive, Important ideas and methods to solve the problem. First, the combination of figures, so that a clear understanding of the number of fuzzy and shape are closely linked, when we study the number of times, often with the help of shape, the nature of the shape in the discussion, but often inseparable from the number. Number and form are the two basic research objects of mathematics. When we combine quantitative relationship with spatial form to analyze problems, we can often achieve a multiplier effect.