数学教育学报2026，Vol.35Issue(3)：16-20,50,6.
新高考数学"三角函数"命题特点探究
Exploration on the Characteristics of Trigonometric Function Proposition in the Mathematics of the New College Entrance Examination
摘要
Abstract
Taking the 10 sets of new college entrance examination mathematics test papers from 2021 to 2025 as empirical samples,this paper systematically analyzes the proposition characteristics of the"trigonometric functions"test questions.Through data collection and quantitative statistics,this study focuses on examining the content distribution and score weighting of the test questions,the interconnected network of knowledge points and their frequency of examination,as well as the structural features of question-setting and the trends in proposition reform.The research indicates that the trigonometric functions module exhibits proposition characteristics marked by"the strongly interconnected network,high-level comprehensive assessment,and in-depth infiltration of mathematical competency".Within the knowledge network,knowledge points related to the properties of graphs and theorems serve as the main framework,while marginal knowledge points such as induction formulas are examined strategically.The proposition design follows a three-tiered gradient of"consolidating fundamentals,transferring methods,and applying innovations",promoting the development of higher-order thinking by setting multiple intersections of knowledge.Therefore,it is advisable to construct a knowledge network system to solidify foundational knowledge,break down barriers between knowledge modules to facilitate integration,infiltrate mathematical thinking to enhance abilities,and implement mathematical competency cultivation to promote all-round development in practical teaching.关键词
新高考/三角函数/命题特点/核心素养Key words
new college entrance examination/trigonometric functions/proposition characteristics/core competencies分类
社会科学引用本文复制引用
梁茂林,吴浩,鲁鸣凤..新高考数学"三角函数"命题特点探究[J].数学教育学报,2026,35(3):16-20,50,6.基金项目
国家自然科学基金项目——大规模多重线性系统的随机优化算法及其应用研究(12361081) （12361081）
甘肃省教育科学"十四五"规划专项课题——以就业与需求为导向的大数据专业人才培养模式研究(GS[2025]GHBZX0099) （GS[2025]GHBZX0099）
天水师范大学研究生创新引导项目——核心素养视角下高中数学命题设计研究(TYCX2440) （TYCX2440）
