1.平面向量基本定理系数等值线平面向量基本定理如果e_1,e_2是同一平面内两个不共线向量,则对该平面内的任一向量a,有且只有一对实数λ_1,λ_2,使a=λ_1e_1+λ_2e_2.文[1]称上式中的λ_1,λ_2为平面向量基本定理系数,并证明了: 1. The Basic Theorem of Plane Vectors The Basic Theorem of Plane Vectors of Contour Equations If e_1 and e_2 are two non-collinear vectors in the same plane, then for any vector a in this plane, there is only one pair of real numbers λ_1, λ_2, Let a = λ_1e_1 + λ_2e_2. [1] Let λ_1 and λ_2 in the above formula be the basic theorem coefficients of plane vector, and prove that: