在当前高中数学教育体系中，函数模块是教学的重点和难点，而函数教学的重难点在于其抽象性。因此在函数部分的教学中，教师可以引入数形结合思想帮助学生更直观地认识函数性质和特点。本文使用了文献研究法，通过对相关课题研究结果的阅读和梳理，归纳了数形结合这一思想方法在我国高中函数教学方面的应用策略研究现状。同时，本文采用了问卷调查法和访谈法，对成都市某中学的高一学生发布了问卷，探究了该学校高一学生对于数形结合思想的认识情况；同时对该学校的两位教师进行了访谈，进一步了解该学校教师在函数教学中渗透数形结合思想的情况，同时获取了一线教师对于渗透数形结合思想的建议。最后，本文结合两位老师的建议，针对 2019 新人教版必修一高中数学教材，设计了一些函数概念教学、命题教学以及例习题讲解中渗透数形结合思想的教学案例。

In the current high school mathematics education system, the function module is the highlight and challenge of teaching, and the main challenge of teaching function is its abstraction. Thus, in the teaching of functions, teachers can introduce the idea of combining numbers and shapes to help students understand the properties and characteristics of functions more intuitively.

In this paper, we use the documentation research method to summarize the current situation of the strategies of applying the idea of combining numbers and shapes in the teaching of functions in high school in China by reviewing and investigating the research results of related topics. At the same time, this paper uses questionnaires and interviews to investigate the awareness of the school's first-year students of a high school about the idea of combining numbers and shapes, and interviews with two teachers of the school to learn more about the penetration of the idea of combining numbers and shapes in the teaching of functions, and to obtain the suggestions of the front-line teachers on the penetration of the idea of combining numbers and shapes. Finally, this paper combines the recommendations of the two teachers and devises some teaching samples for the teaching of function concepts, proposition teaching and example exercises in the explanation of the idea of combining numbers and shapes for the 2019 New Humanities Edition Compulsory 1 high school mathematics textbook.