文[1]给出了三角形重心向量的一个性质,并进行了空间拓广.文[2]对三角形内任一点的向量性质进行了探究,并进行了空间拓广.文[3]对文[1]的性质进行再探究,本文类比文[3]对文[2]的性质进行再探究,得到了两个定理,现叙述如下.定理1如图1所示,已知△ABC及其内部一点P,若λ1PA+λ2PB The paper [1] gives a property of the triangle center of gravity vector and expands it spatially. The text[2] explores the vector properties of any point in the triangle and expands it spatially.[3] [1] The nature of the re-inquiry, this article analogy [3] on the nature of the text [2] to re-inquiry, obtained two theorems, are described below. Theorem 1 as shown in Figure 1, known △ ABC and its Internal point P, if λ1PA+λ2PB