在《平面向量》这一章里面,用向量知识研究平面图形性质是本章的一个重要方面,充分体现了向量知识与平面几何知识的联系.例如,以向量为视角研究三角形的“四心”(即外心、内心、重心、垂心),可以得到三角形“四心”性质的向量表示.而且,从向量角度考查三角形“四心”的问题在最 In the chapter of “Planar Vector”, the use of vector knowledge to study the nature of plane graphics is an important aspect of this chapter, fully embodying the relationship between vector knowledge and plane geometry knowledge. For example, to study the “four hearts” of triangles from the perspective of vectors ( That is, the heart, inner heart, center of gravity, and center of divination can be obtained by the vector representation of the triangle’s “four hearts” nature. Furthermore, the problem of examining the triangle “four hearts” from the perspective of the vector is