新高考数学"三角函数"命题特点探究OA
Exploration on the Characteristics of Trigonometric Function Proposition in the Mathematics of the New College Entrance Examination
以2021-2025年 10套新高考数学试题为实证样本,系统分析"三角函数"试题的命题特点.通过数据采集与量化统计,重点分析试题内容分布与分值权重、知识点关联网络及考查频次、设问结构特征及命题改革动向.研究表明:三角函数模块呈现"强关联网络—高综合考查—深素养渗透"的命题特点.知识网络中,图象性质与定理类知识点为主干,诱导公式等边缘知识点策略性考查;命题设计呈"基础巩固—方法迁移—创新应用"三阶梯度,通过设置多知识交汇点促进高阶思维发展.在实际教学中应构建知识网络体系以夯实基础,打破知识模块壁垒以促进融通,渗透数学思想以提升能力,落实素养促进全面发展.
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.
梁茂林;吴浩;鲁鸣凤
天水师范大学 数学与统计学院,甘肃 天水 741000天水师范大学 数学与统计学院,甘肃 天水 741000天水师范大学 数学与统计学院,甘肃 天水 741000
社会科学
新高考三角函数命题特点核心素养
new college entrance examinationtrigonometric functionsproposition characteristicscore competencies
《数学教育学报》 2026 (3)
16-20,50,6
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)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)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)
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