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数与形是现实世界中客观事物的抽象和反映,是数学的基石.在数学教学过程中,处处渗透着数形结合的思想.从数和形两个侧面对问题进行分析,以培养学生思维的深刻性与批判性,构成了数学教学的主要任务;以形助数、以数辅形,构成了数形结合的基本途径.本文试从函数图象和几何图形两个方面,结合教材的实际情况,举例说明“数形结合”在解决问题中的一些妙用.
Number and form are the abstraction and reflection of the objective things in the real world, which is the cornerstone of mathematics .In the process of mathematics teaching, the idea of combining numbers and forms is permeated everywhere. The problems are analyzed from the aspects of number and form to cultivate students’ thinking Of the profound and critical, constitute the main task of mathematics teaching to shape the number of auxiliary, the number of auxiliary shape constitute the basic way to the combination of several forms.This paper try to function graphics and geometry from two aspects, combined with the textbook The actual situation, an example of “combination of numbers and forms” in solving some of the magical effects.