文[3]在文[1],[2]的基础上得到了三角形和四面体的若干性质,本文试图给出它们的推广.文[1]给出了如下命题:命题1已知△ABC及其内部一点P,若λ1PA+λ2PB+λ3PC=0,λ1,λ2,λ3都是大于0的实数,则S△PBC∶S△PCA∶S△PAB=λ1∶λ2∶λ3.文[3]把它推广到空间,得到如下命题:命题2已 In [3], some properties of triangles and tetrahedrons are obtained on the basis of [1] and [2]. This article attempts to give their generalizations. The paper [1] gives the following propositions: Proposition 1 Known △ ABC And its internal point P, if λ1PA + λ2PB + λ3PC = 0, λ1, λ2, λ3 are all real numbers greater than 0, then SΔPBC: SΔPCA: SΔPAB = λ1: λ2: λ3. [3] To extend it to space, you get the following proposition: Proposition 2 has been