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人教版新老数学教材在定义“点P分有向线段P1P2→的比”时是这样给出的: (1)老《解析几何》教材P2上定义:有向直线l上的一点P,把l上的有向线段P1P2→分成两条有向线段P1P→和PP2→,P1P→和PP2→数量的比叫做点P分P1P2→所成的比,通常用字母λ来表示这个比值,λ=P1P/PP2,点P叫做有向线段P1P2→的定比分点. (2)人教版试验修订本教材第一册(下)P113上定义:设P1、P2是直线L上的两点,点P是L上不同于P1、P2的任意一点,则存在一个实数λ,使
PEP’s new and old mathematics textbooks are given in the following definition: “Point P is the ratio of P1P2 to the directed segment P1P2”: (1) The definition of the old “analytic geometry” textbook P2: Point P on the directed line l, The ratio of the directed segment P1P2 on l to the two directed segments P1P→ and PP2→, P1P→ and PP2→ the number is called the ratio of the point P to P1P2 →, usually expressed by the letter λ, λ =P1P/PP2, Point P is called the directed score segment of P1P2→. (2)PEP Experiment Revision Book 1(bottom) P113 defines: Let P1 and P2 be two points on the straight line L, Point P is any point on L that is different from P1, P2, there is a real number λ, so that