[email protected]

国际应用数学进展

Advances in International Applied Mathematics

您当前位置:首页 > 精选文章

Advances in International Applied Mathematics. 2023; 5: (4) ; 10.12208/j.aam.20230022 .

An example analysis of solving the mathematical problems of college entrance examination using thecombination of number and form strategies
运用数形结合策略解高考数学题例析

作者: 杨欣怡 *

扬州大学 江苏扬州

*通讯作者: 杨欣怡,单位:扬州大学 江苏扬州;

引用本文: 杨欣怡 运用数形结合策略解高考数学题例析[J]. 国际应用数学进展, 2023; 5: (4) : 11-17.
Published: 2023/11/15 16:02:43

摘要

数形结合策略作为一种综合运用数学和几何图形的解题方法,具有很强的实用性和灵活性,在高中数学中较为重要,它能够将数与形很好的结合在一起。因此,学生在学习的过程中熟练地利用数形结合策略不仅能够帮助学生更好地理解数学概念,还能帮助学生以更快的速度解决各种数学问题,还能够大大提升其抽象思维和空间想象力。本文将从数形结合的内涵、数形结合在高中数学中的作用出发,并且利用高考数学中三种不同类型的题目为例,探讨数形结合策略在解题中的运用,旨在帮助学生理解和应用数形结合策略,更好地理解数学概念,提高数学问题解决能力。

关键词: 数形结合;高考数学;思想方法

Abstract

As a method of solving problems using mathematics and geometric figures comprehensively, the combination strategy of number and shape has strong practicability and flexibility, and is more important in high school mathematics. It can combine number and shape well. Therefore, students' skillful use of the combination of number and form in the learning process can not only help students better understand mathematical concepts, but also help students solve various mathematical problems at a faster speed, and greatly improve their abstract thinking and spatial imagination. This paper will start from the connotation of the combination of number and form, the role of the combination of number and form in high school mathematics, and take three different types of math questions in the college entrance examination as examples to discuss the application of the combination of number and form strategies in solving problems, aiming to help students understand and apply the combination of number and form strategies, better understand mathematical concepts, and improve mathematical problem-solving ability.

Key words: Combination of number and form; College entrance examination mathematics; Thinking method

参考文献 References

[1] 陈上太.巧用数形结合法解答高考题[J].高考,2020(04):157-158.

[2] 陈俊斌.巧用数形结合思想,妙解高考数学客观题[J].中学数学研究,2015(07):25-27.

[3] 刘建国. 浅谈高中数学教学中数形结合的运用[A]. 华教创新(北京)文化传媒有限公司、中国环球文化出版社.2022教育教学现代化精准管理高峰论坛论文集(高中教育篇)[C].华教创新(北京)文化传媒有限公司、中国环球文化出版社:华教创新(北京)文化传媒有限公司,2022:305-310.

[4] 沈娇娇.数形结合思想在初中数学教学中的渗透[J].安徽教育科研,2022(27):61-62+71.

[5] 高文龙.巧用数形结合思想——妙解高考数学客观题[J].数学学习与研究,2020(08):126.

[6] 孔繁晶.例谈数形结合解决向量问题[J].考试周刊,2017(51):134.

[7] 季国平.关于高中数学几何解题技巧之“数”“形”结合策略[J].新课程(下),2018,No.444(04):96.