Research on the Solution of Solid Geometry Problems in College Entrance Examination Mathematics — Take the National I/II/III Test from 2018 to 2022 as an Example

Abstract

As the college entrance examination reform progresses, the difficulty of test questions has also increased. Solid geometry, as one of the key points in the mathematics section of the college entrance examination, occupies a significant portion and is challenging. This paper, based on the national mathematics papers from 2018 to 2022, employs literature review, descriptive research, interviews, and difficulty analysis to study solid geometry questions. The solid geometry questions in the college entrance examination are stable, but relying solely on practice to improve scores does not adequately reflect the true purpose of education in our country. The study found that the types of solid geometry questions tested in the college entrance examination include structural characteristics and three views, surface area and volume of spatial geometric solids, circumscribed and inscribed spheres, line-plane relationships, and spatial angles. This paper analyzes and summarizes problem-solving techniques and strategies to cultivate students problem-solving thinking and help them learn more effectively, avoiding the rigid practice of solving countless problems.