## 复数的几种表示形式+文献综述

Several Forms of the Expression of Complex Number
Abstract：Complex number that originates from the solution of algebraic equation, are developed along with the development of function and calculus and finally is accepted by people through its geometric representation.The article expounds historical development process of complex number and summarizes various kinds of forms of expression of complex systematically through the methods of documentary research ,historical analysis and examples compare and research.The article proceeds primary finish and induction about the questions of the forms of expression of complex number and adhibition and can utilize its various kinds of forms of expression to solve related math problems.The article mainly proceeds research about solving mathematical problems through structuring and choosing proper forms of complex number to help people to expand the ways of problem solving and develop ability of solving problems.
Key words： Geometry form；Algebra form；Triangle form；Exponent form；Vector form

1复数的几种表示形式    3

1.1复数的几何形式    3
1.2复数的代数形式    4
1.3复数的向量形式    4
1.4复数的三角形式     6
1.5复数的指数形式    7
2复数几种表示形式的相互转换    10
2.1代数形式与三角形式的相互转换    10
2.2代数形式与几何形式的相互转化    12
2.3指数形式与代数形式、三角形式间的相互转化    12
3复数的几种表示形式在解题中的应用    13
3.1 复数的几何形式和向量形式的应用    13
3.2 复数的代数形式的应用    15
3.3复数的三角形式的应用    17
3.4复数的指数形式的应用    19
4结束语    21

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