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(一) 复数是高中数学比较重要的内容,有人把它称做结合部,指的是复数涉及的知识面比较广泛。它在代数中出现,它的三角形式又与三角恒等变形紧密联系,作为点集可以解决几何问题,与向量集建立一一对应之后,就可解决许多物理问题。但是,现行教材却不能很好地体现这些要求。原因之一是为了扩充数,人为地规定i~2=-1。大家知道,高中学生已经比较牢固地建立了数轴上的点与实数建立一一对应的关系,又学习了直角坐标系,已经比较牢固地建立起数对(a,b)与平面点集之间的一
(1) The plural is the more important content of high school mathematics. Some people refer to it as the joint department, which refers to the fact that the knowledge involved in complex numbers is broader. It appears in algebra, its triangular form is closely related to the trigonometric constant deformation, as a set of points can solve the geometric problem, after establishing a one-to-one correspondence with the set of vectors, it can solve many physical problems. However, current textbooks do not reflect these requirements well. One of the reasons is that in order to increase the number, artificially dictate i~2=-1. As we all know, high school students have established a one-to-one relationship between points on real numbers and real numbers, and they have also learned about rectangular coordinate systems. They have established a firm relationship between pairs (a, b) and planar point sets. one of