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恩格斯说:“纯数学的对象是现实世界的空间形式和数量关系。”数形结合贯穿于整个数学发展中,抽象的数学语言与直观的图形结合起来,使抽象思维和形象思维结合起来,找出解题之路。下面本人就高中一些常见题型来浅谈数形结合的应用:1.利用数形结合解决集合问题对一些比较抽象的集合问题,在解题时若借助韦恩图或用数轴、图象等数形结合的思想方法,往往可以使问题直观化、形象化,从而灵活、直观、简捷、准确地获解。请先看看下面的例题:
Engels said: “The object of pure mathematics is the relationship between the spatial form and the quantity in the real world.” "Combination of numbers and shapes runs through the entire mathematical development. Abstract mathematical language combines with intuitive graphics to combine abstract thinking with imaginal thinking , Find a solution to the problem. Here are some common problems in high school to talk about the combination of number-shape applications: 1. The use of combination of numbers to solve the set of problems Some of the more abstract set of problems, the problem-solving if using Wayne diagram or with the number of axes, images, etc. The combination of several forms of thought and method can often make the problem intuitive and visualized so as to be flexible, intuitive, simple and accurate. Please take a look at the following example: