新课标下数学文化在高考中的渗透研究
Research on the Penetration of Mathematics Culture in College Entrance Examination under the New Curriculum Standard

自《普通高中数学课程标准(2017年版2020年修订)》出版以来，数学课程对数学文化的体现就日益深厚。新课标强调要注重数学文化的渗透，不仅体现在数学的教学活动中，更要体现在高考命题之中。本研究就数学文化的内涵展开，分别从数学史、数学美、数学应用与数学语言四个方面，对数学文化在2020~2023年四年的新高考试题中的渗透程度与方式进行相关举例论述，并对其题干进行数学文化类型的分类与简要分析，发现并总结高考题在数学文化方面的命题规律，最后对数学文化体现在高考试题中的必要性进行自问自答并从数学文化的内涵与根本目的方面进行思考与解释。
Since the publication of Mathematics Curriculum Standards for Senior High Schools (2017 edit on, 2020 revision), the mathematics curriculum has increasingly embodied the mathematics culture. The new curriculum emphasizes that we should pay attention to the infiltration of mathematics culture, which is not only reflected in the teaching activities of mathematics, but also reflected in the proposition of college entrance examination. In this study, the connotation of mathematical culture is carried out. Four aspects, namely, the history of mathematics, the beauty of mathematics, the application of mathematics and the language of mathematics, and the penetration degree and mode of mathematical culture in the new college entrance examination questions from 2020 to 2023 are discussed with relevant examples, and the types of mathematical culture are classified and briefly analyzed. This paper finds and summarizes the propositional laws of the college entrance examination questions in the aspect of mathematical culture, and finally asks yourself and answer the necessity of the mathematical culture reflected in the college entrance examination questions, and thinks and explains from the connotation and fundamental purpose of mathematical culture.