许多同学在解复数问题时,就迫不及待地设复数 z=a+bi(a、6∈R)或 z=r(cosθ+isinθ)(r≥0,θ∈[0,2π]且规定 r=0时,θ=0),至使某些问题越化越繁,甚至半途而废.而与之相反,若能从整体结构出发,合理利用复数的一系列固有的特殊性质,往往可以使问题不设而解,且过程甚为简捷;现以高考复数试题为例,予以说明. Many students in the complex number problem can not wait to set a complex number z=a+bi(a,6∈R) or z=r(cosθ+isinθ) (r≥0,θ∈[0,2π] and specify r= At 0 o’clock, θ = 0), to make certain problems become more and more complicated, or even to be abandoned halfway. On the contrary, if we can proceed from the overall structure and rationally use a series of inherent special properties of plural numbers, we can often make the problem clear. The solution, and the process is very simple; now take the college entrance examination as an example, to illustrate.