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数形结合是高中数学的重要思想方法,数形结合的应用大致分为两种情形:或者借助于数的精确性来阐明形的某些属性,或者借助于形的几何直观性来阐明数之间某种关系.运用数形结合,可以使复杂问题简单化,抽象问题具体化,它兼取了数的严谨与形的直观两方面之长处,是优化解题过程的重要途径,本文将以历年的高考“客观题”为例着重说明如何借助几何直观性来处理与数有关的问题.
The combination of number and shape is an important method of thinking in high school mathematics. The application of number and shape combination can be roughly divided into two situations: either clarifying certain attributes of figures by the accuracy of numbers or elucidating the number by using the geometric intuition of figures. A certain relationship. Using a combination of numbers and shapes, it can simplify complex problems and embody abstract problems. It takes both the rigor of numbers and the intuition of forms to be an important way to optimize the problem-solving process. This paper will use The example of “objective questions” in the college entrance examinations over the years focuses on how to use geometric intuition to deal with problems related to numbers.