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融数、形结合于一体,具有几何形式与代数形式“双重身份”的向量是高中数学新教材中新增的重要内容.教材在介绍向量的数量积时,给出了如下一条重要的性质:
Combining numbers and shapes into one, the vector with the “double identity” of geometric forms and algebraic forms is an important new content in the new mathematics textbooks for senior high schools. When the textbook introduces the quantitative product of vectors, it gives the following important properties: