在高三的复习过程中以及全国各地高考试卷中,都有不少习题与三角形的“四心”有关,学生在解决这些问题时错误率较高,甚至是无从下手。通过搜集整理部分资料,就高中新课标向量的相关知识进行阐述,对有关三角形的“四心”的相关知识进行复习,特别体现出与向量有关知识的结合。一、基础知识复习1.定义:我们把三角形三个内角的角平分线的交点叫做三角形的内心,即三角形内切圆圆心;三角形三条边上的中垂线的交点叫做三角形的外心,即三角形外接圆圆心;三角形三条边上的中线的交点叫做三角形的重 In the third year of the review process and throughout the country entrance examination papers, there are a lot of exercises and the triangle “four hearts ”, the students in the resolution of these problems a higher error rate, or even impossible to start. By collecting and sorting out some of the information, the paper introduces the related knowledge of high school new curriculum standard vector, and reviews the relevant knowledge about the triangle “four hearts”, especially the combination of vector and knowledge. First, the basic knowledge of review 1. Definition: We triangles the angle of the three corners of the triangle is called the triangle’s inner circle, that is, the triangle inscribed circle center; the intersection of the vertical line on the three sides of the triangle is called the outer triangle, Triangle circumcircle center; the intersection of the three lines on the middle of the triangle is called the triangle’s weight