数形结合的基本思路是:根据数的结构特征,构造出与之相应的几何图形,并利用图形的特性和规律,解决数的问题,或将图形信息全部转成代数信息,使解决形的问题转化为数量关系的讨论.就高中数学中常见的几种类型题的解题方法做了一些对比,突出数形结合思想的特征. The basic idea of ​​the combination of number and shape is: According to the structural characteristics of the number, construct the corresponding geometric figure, and use the characteristics and laws of the figure to solve the number problem, or turn all the graphic information into algebraic information, so that the shape of the solution The problem was transformed into the discussion of quantitative relationships. Some comparisons of the problem-solving methods of several types of problems common in high school mathematics were made, highlighting the characteristics of the combination of number and shape.