Advances in International Applied Mathematics

Triangle and circle are two of the most important geometric figures in junior high school mathematics, and they are also important and difficult for students to learn. In particular, the combination of the two will have high requirements for students to master relevant knowledge points. Taking a Jiangsu high school entrance exam as an example, this paper explores the problem-solving strategy of solving trigonometric function values with circle as the background, and explores how to construct right triangles from different perspectives, which not only helps students to get familiar with the knowledge of triangle similarity and identity, Pythagorean theorem, and the related properties of circles, but also cultivates students logical reasoning ability and transformation thoughts, and promotes the implementation of students core literacy. In addition, some suggestions are put forward for teachers teaching: teachers should pay attention to the essence of the problem and realize the importance of multiple solutions to one problem; Integrate teaching content and focus on core concepts; Focus on geometry and intuition to help students develop core qualities.

Nature of circle; Triangular structure; Core quality