运用数形结合策略解高考数学题例析

An example analysis of solving the mathematical problems of college entrance examination using thecombination of number and form strategies

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DOI 10.12208/j.aam.20230022
刊名
Advances in International Applied Mathematics
年,卷(期) 2023, 5(4)
作者
作者单位

扬州大学 江苏扬州 ;

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。
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.
关键词
数形结合;高考数学;思想方法
KeyWord
Combination of number and form; College entrance examination mathematics; Thinking method
基金项目
页码 11-17
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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.

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