平面向量基本定理的内容是:如果e珒1和e珒2是同一平面内不共线的两个向量,那么对于这个平面内的任意一个向量a珗,有且只有一对实数λ1,λ2使得a珗=λ1e珒1+λ2e珒2,命题专家对系数λ1和λ2特别厚爱,编创出很多好题,而处理此类题最有效的策略就是建立坐标系,现加以盘点,以期抛砖引玉. The basic theorem of the plane vector is that if e 珒 1 and e 珒 2 are two vectors that are not collinear in the same plane, then for any vector a 珗 in this plane, there is only one pair of real numbers λ1 and λ2 such that a 珗 = λ1e 珒 1 + λ2e 珒 2, the propositional experts on the coefficient λ1 and λ2 special love, create a lot of good questions, and deal with such problems the most effective strategy is to establish a coordinate system, now to inventory, with a view to initiate.