Open Access Article
Advances in International Applied Mathematics. 2023; 5: (3) ; 9-17 ; DOI: 10.12208/j.aam.20230015.
Skillfully use the construction methods to solve algebraic problems
巧用构造法妙解代数题例析
作者:
贺世凯 *
扬州大学 江苏扬州
*通讯作者:
贺世凯,单位:扬州大学 江苏扬州;
发布时间: 2023-09-15 总浏览量: 1008
PDF 全文下载
引用本文
万方数据(WANFANG DATA)
摘要
代数作为数学的一个专有名词,在中学数学中占有极其重要的地位,也是中学数学学习的主要部分,该类题目抽象繁琐,灵活多变,知识点环环相扣。本文从代数角度出发,通过分析近年中高考和初高中数学竞赛以及各地模拟试题,归纳整理出几种利用构造法求解代数题的方法,希望这篇文章能对解决中学代数问题提供一些帮助。
关键词: 构造;代数;转化
Abstract
Algebra is a proper term in mathematics, and it plays a significant role in middle and high school mathematics. It is also the main part of junior and senior school mathematics study. Algebra problems are abstract, complicated, flexible and changeable. The knowledge of algebra is also interlinked. By analyzing the junior and senior school entrance examination, the mathematics competition of middle and high school and the simulation test questions from different regions in recent years, this paper sums up several methods of solving algebraic problems with the construction methods. I hope this article can provide some help to solve the problems of middle and high school algebra.
Key words: Construct; Algebra; Transform
参考文献 References
[1] 刘明花.运用构造法解决高中数学试题[J].数理化解题研究,2023(21):5-7.
[2] 陈翔.构造三角形模型求解代数题[J].高中数学教与学,2022(19):29-30.
[3] 何卫华.例说构造几何图形解代数题[J].上海中学数学,2013(12):46-47.
[4] 朱建新.例谈借助不等式求最值的策略[J].数学大世界(中旬),2019(08):9+8.
[5] 宋亚洲.构造几何模型 巧解竞赛难题[J].中学生数学,2021(17):33-34.
引用本文
贺世凯, 巧用构造法妙解代数题例析[J]. 国际应用数学进展, 2023; 5: (3) : 9-17.