第六讲 平面向量一 【考点提示】1.向量的基本概念:(1)向量定义:_______________________________________________________(2)向量的大小(模):________________________________________________(3)零向量:_________________________________________________________(4)单位向量:_______________________________________________________(5)相等向量:_______________________________________________________(6)平行(共线)向量:_______________________________________________2.向量的线性运算:(1)向量的加法(2)向量的减法(3)向量的数乘3.重要定理和性质(1)共线向量基本定理:_______________________________________________________(2)平面向量基本定理:_______________________________________________________(3)线段定比分点的向量表达式:_______________________________________________________(4)三点共线定理:_______________________________________________________(5)直线定理及推论:_______________________________________________________4.平面向量的坐标表示与坐标运算(1),则=__________________________(2),则=_________________________ =_________________________5.向量的平行和垂直(1)平行:_____________________________________________________(2)垂直:_____________________________________________________6.向量的数量积(1)_____________________________________________________(2)_____________________________________________________7.向量的投影 _____________________________________________________8.平面向量数量积的重要性质(1)_____________________________________________________(2)_____________________________________________________(3)_____________________________________________________(4)_____________________________________________________(5)_____________________________________________________9.平面向量数量积满足的运算律(1)_____________________________________________________(2)_____________________________________________________(3)_____________________________________________________10.三角形四心问题(1)____________________________________________...