一、问题的提出在现行人教版11.2与三角形有关的角的教学中,发现教材、教辅无不涉及“探究三角形两条角平分线的夹角与第三个内角的角度关系”的问题.思考:这些常规且重要的问题,能否推广?本文通过弱化角平分线条件,探究其一般性问题——探究过三角形两个顶点的两条直线夹角与相关角的关系. First, the issue put forward in the current version of PEP 11.2 and triangle-related teaching angle, found that textbooks, teaching all involved “angle of the triangle angle of bisector of the angle between the two angles and the third corner ” Problem: Thinking: Can these general and important problems be generalized? In this paper, the general problem is explored by weakening the condition of bisector of the angle - this paper explores the relationship between the angle of two straight lines of the two vertices of the triangle and the correlation angle.