在数学教学中,数和形是两个最主要的研究对象,它们之间有着十分密切的联系。在一定的条件下,数和形可以相互转化、相互渗透。数形结合的基本思想,就是在研究问题的过程中,注意把数与形结合起来考查,斟酌问题的具体情形,把图形性质的问题转化为数量关系的问题,或者把数量关系的问题转化为图形性质的问题,使复杂问题简单化、抽象问题具体化,化难为易,从而获得简便易行的解决方案。 In mathematics teaching, the number and shape are the two most important research objects, and they are closely related. Under certain conditions, the number and shape can be transformed into each other, mutual penetration. The basic idea of ​​the combination of numbers and forms is that in the process of researching the problem, we should pay attention to the combination of numbers and forms, examine the specific situations of the problems, turn the problems of the graphical nature into the problems of the quantitative relations, or convert the problems of the quantitative relations into Graphic nature of the problem, simplifying complex issues, specific abstract issues, the difficulty is easy, so as to obtain easy solution.