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新课程标准指出,在教学中应注意让学生主动尝试从数学的角度运用所学知识和方法,寻求解决问题的策略．添加辅助线是常见的解决数学问题的策略之一,其目的是使题目中隐藏的性质暴露出来,使条件所在的基本图形明朗化,在条件和结论之间架设起一座由此到彼的桥梁,从而把复杂的问题化归为简单的问题、未知的问题化归为已知的问题,以达到解决问题的目的．常见的辅助线是直线或线段．本文专门谈构造圆作为辅助线解决数学问题的方法和思路．
The new curriculum standards point out that in teaching, students should be encouraged to actively use the knowledge and methods learned from the perspective of mathematics to seek solutions to the problem. The addition of auxiliary lines is one of the common strategies for solving mathematical problems. Its purpose is to expose the hidden nature of the topics and to make the basic graphics of the conditions clear. A bridge has been built between the conditions and conclusions. , thereby categorizing complex problems as simple problems and unknown problems as known problems to achieve the purpose of solving problems. Common auxiliary lines are straight lines or line segments. This article focuses on the method and idea of constructing a circle as an auxiliary line to solve mathematical problems.