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平面向量是既有大小又有方向的量,在物理和几何方面的应用都凸显了它的重要作用.三角形的四“心”与几何图形能有机地结合起来,使很多几何问题得以解决.向量作为沟通几何和代数的强有力工具,则可以把复杂的几何证明转化为简单的向量计算,从而能有效地简化问题.借助平面向量考查三角形中“心”的问题已成为近几年高考的热点.一、再现课本题目1(教材(人教A版)必修四第120页第5题)已知向量OP1CC,OP2CC,OP3CC满足条件OP1CC+OP2CC+OP3CC=C0,|OP1CC|=
Plane vector is both the size and direction of the amount of the application of both physical and geometric highlights its important role. Triangle “Heart” and geometry can be organically combined, so that a lot of geometric problems can be solved As a powerful tool for communication geometry and algebra, vectors can transform complex geometric proof into simple vector calculation, which can effectively simplify the problem. The problem of finding the “heart” in a triangle by means of a plane vector has become a problem in recent years The hot topics in the entrance examination. First, reproduce the textbook title 1 (textbook (people teach A version) compulsory four page 120, fifth) known vectors OP1CC, OP2CC, OP3CC meet the conditions OP1CC + OP2CC + OP3CC = C0, | OP1CC |