Open Access Article
Advances in International Applied Mathematics. 2023; 5: (3) ; 25-33 ; DOI: 10.12208/j.aam.20230017.
Clever use of models to solve math problems in the middle school exam
巧用模型解中考数学题例析
作者:
杨心雨 *
扬州大学 江苏扬州
*通讯作者:
杨心雨,单位:扬州大学 江苏扬州;
发布时间: 2023-09-17 总浏览量: 987
PDF 全文下载
引用本文
万方数据(WANFANG DATA)
摘要
数学模型是学生解题思维的起点,培养学生的模型思想有助于拓宽思维,提高分析、解决问题的能力。熟悉并掌握模型的应用,能够帮助学生直击问题的关键,跨越解题障碍,缩短解题时间。通过几个典型数学模型及例题解析,帮助学生理解并应用模型,渗透思想,发展数学核心素养。
关键词: 数学模型;一线三等角;将军饮马;胡不归
Abstract
Mathematical model is the starting point of students' problem-solving thinking, and cultivating students' model thinking is helpful to broaden their thinking and improve their ability to analyze and solve problems. Familiar with and master the application of the model, which can help students directly grasp the key of the problem, overcome the obstacles of problem solving, and shorten the problem solving time. Through the analysis of several typical mathematical models and example problems, help students understand and apply models, penetrate ideas, and develop core mathematical literacy.
Key words: Mathematical model; A line of three equal angles; General Feeding water to his horses; Why not return
参考文献 References
[1] 中华人民共和国教育部.义务教育数学课程标准(2022年版)[S].北京:北京师范大学出版社,2022.
[2] 冀庆超.重要模型“一线三等角”[J].中学生数理化(八年级数学)(配合人教社教材),2020,No.1217(10):15-16.
[3] 窦光锋. “一线三直角”应用的三种境界[J].中学数学教学参考,2020(12):52-53.
[4] 周杨.“将军饮马”问题的求解策略[J].初中数学教与学,2023,No.493(01):20-22+37.
[5] 蔡国雄.初中几何“PA+k•PB”型的最值问题[J].数学学习与研究,2019(03):151-152.
引用本文
杨心雨, 巧用模型解中考数学题例析[J]. 国际应用数学进展, 2023; 5: (3) : 25-33.