A Multi-angle Research on the Solution of Function Test Questions in College Entrance Examination

Functions are a fundamental component of high school mathematics and pose a challenge for students. The college entrance examination questions prioritize the cultivation of moral character and abilities, which is consistent with the curriculum standards. They evaluate students' basic knowledge, skills, and subject core literacy, and are also a means of talent selection. By analyzing a representative question (Question 21 from the 2022 National College Entrance Examination Mathematics Subject for Science), this study examines solution methods and uncovers underlying thoughts and approaches within the question. It emphasizes both general problem-solving principles and methods as well as problem-solving within advanced mathematical thinking. Drawing from this research, targeted teaching strategies for problem-solving are proposed. Through analysis of representative questions, this paper aims to chart an effective path for high school mathematics education while providing strategies and recommendations for review and preparation.