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在现行高级中学代数课本(甲种本)第二册(以下简称课本)里;介绍了复数的模与辐角的概念及性质,本文拟就怎样正确理解复数辐角的性质谈谈粗浅的认识.我们知道,以实轴的正半轴为始边,非零复数 Z=a十bi 所对应的向量(?)所在的射线为终边的角θ,叫做复数 Z=a+bi的输角(Argument),记作θ=Argz.任一非零复数 Z=a+bi 的辐角有无穷多个值,其中每两个值相差2π的整数倍.但 Argz有且只有一个值 a 满足条件0≤a<2π,它叫做 Z 的辐角的主值,记作 argz,即0≤argz<2π.
In the current high school algebra textbook (Class A) Volume II (hereinafter referred to as the textbook); introduces the concept and nature of the complex modulus and argument, this article is intended to correctly understand how the nature of the complex argument to talk about the shallow understanding . We know that the vector of the nonzero complex number Z = a + bi is the angle of theta on the final edge, starting with the positive half-axis of the real axis, and is called the angle of the complex Z = a + bi (Argument), denoted as θ = Argz. Any nonzero complex number Z = a + bi has infinitely many radii, where every two values differ by an integral multiple of 2π. However, Argz has only one value a that satisfies the condition 0≤a <2π, which is called the main value of the argument of Z and denoted as argz, that is, 0≤argz <2π.