文章基于武小鹏等人提出的数学高考试题综合难度模型,对2021~2024年全国甲卷(理科)、新高考Ⅰ卷、新高考Ⅱ卷共12套试卷中涉及“几何与代数”的试题进行难度比较分析。研究发现:“几何与代数”试题编制背景单调,整体难度变化不大;强调综合性知识的理解与应用。因此,在此基础上提出:丰富试题情境,拓展学生思维;重视逆向思考,提高解题能力;强调数学运算,加强数学素养,这几点建议。Based on the mathematical high examination test comprehensive difficulty model proposed by Wu Xiaopeng et al., this paper conducts a comparative analysis of the difficulty of “Geometry and Algebra” questions in 12 sets of national level I (science) examination papers from 2021 to 2024, including the new national college entrance examination I and II. The study found that the background of “Geometry and Algebra” question formulation was monotonous, and the overall difficulty changed little;it emphasized the understanding and application of comprehensive knowledge;accordingly, the following suggestions were put forward: enrich the question context to broaden students’ thinking;attach importance to reverse thinking to improve problem-solving ability;emphasize mathematical operations to enhance mathematical literacy.
