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数形结合思想,一直是数学学科发展过程中的重要思想,利用图形的直观形象特点,对数学概念中抽象的数字关系进行呈现,有利于减轻学生的学习负担,更能够促进学生深入理解数学内容.将数形结合思想应用于高中数学课堂的函数解题过程中,有利于提高学生数学学习效率.一、数与形之间的关系分析数与形,是构成数学知识体系最基本的两个元素,也是存在时间最长的两个数学元素.一切数学问题,都是围绕数与形展开,都是从数与形两个因素上发展而来的.每一个几何图形
The combination of number and shape has always been an important idea in the development of mathematics. The use of the visual image features of graphics to present abstract digital relations in mathematical concepts is beneficial to relieve the students ’learning burden and to promote students’ in-depth understanding of mathematical content In the process of solving the function of high school math class, it is helpful to improve the efficiency of maths learning.First, the relationship between number and shape Analysis number and shape, constitute the most basic two of the mathematical knowledge system Elements, but also the longest two mathematical elements exist.All mathematical problems, are around the number and shape expansion, are derived from the number and shape of two factors from the development of each geometry