2024年高考数学新课标II卷第8题函数最值的解法与思想探究
Exploration of the Solution Methods and Thought Processes for the Function Maximum and Minimum Problem in the 2024 National College Entrance Examination Mathematics New Curriculum Standard II Test, Question 8

函数性质、不等式恒成立与最值的综合应用问题不仅是高中数学的重要知识点，更是高考数学的主要考点。本文基于2024年高考数学新课标II卷第8题，探讨了如何利用不同的数学工具和方法来解决函数最值问题，为中学生解决此类数学问题提供多种思路和方法借鉴，有助于提升学生的数学思维能力和解题技巧。
The comprehensive application problems of function properties, the constant validity of inequalities and extremums are not only important knowledge points in high school mathematics, but also the main examination points in the mathematics of the college entrance examination. Based on Question 8 of the 2024 College Entrance Examination Mathematics New Curriculum Standard Volume II, this article explores how to use different mathematical tools and methods to solve the problem of maximum and minimum values of functions, providing multiple ideas and methodological references for middle school students to solve such mathematical problems, which is conducive to enhancing students’ mathematical thinking ability and problem-solving skills.