平面向量是既有大小又有方向的量,这就注定它既与数量关系有关,又与图形有关。形与数的结合在这里得到了天然的体现。向量的加法、减法法则的几何意义正向运用是“多个向量化为一个向量”;而向量的加法、减法法则的逆向运用的几何意义则是“一个向量转化为多个向量”的典范;向量的数乘体现“一维”上的所有向量皆可转化为一个非零向量的实数倍关系;平面向量基本定理则解决了“二维”上的所有向量都可以转化为两个不共线向量的线性组合;平面向量的 Plane vector is both the size and direction of the amount, which is doomed it not only with the number of relations, but also with the graphics. The combination of shape and number here has been a natural manifestation. The addition of the vector, the geometric meaning of the subtraction is the positive use of the “multiple vector into a vector ”; and vector addition, subtraction of the law of the reverse use of the geometric meaning is “a vector into multiple vectors ”; The vector multiplication reflects all the vectors on the“ one-dimensional ”can be converted into real multiples of a non-zero vector; the basic theorem of plane vector solves all vectors on the“ two-dimensional ” Can be transformed into a linear combination of two non-collinear vectors;