复数集上解 f(z,|z|)=0类型的方程非常常见,一般可从两个角度着手处理:一、设 z=x+yi(x,y∈R)或 z=r(cosθ+isinθ),用复数相等的条件转化为解方程组.这种方法比较麻烦.二、取模法.求出|z|,再代入原方程进一步解出 z.这种方法比较简捷.本文仅举数例用以说明“取模法解复方程”. Complex equations on the solution of f(z,|z|)=0 are very common and can generally be addressed from two perspectives: 1. Let z = x + yi (x, y ∈ R) or z = r (cos θ +isinθ), using the condition of the complex number to convert to the solution equations. This method is more troublesome. Second, take the modulus method. Find the |z|, then substitute the original equation to solve the z. This method is relatively simple. A few examples are used to illustrate the “modulus decompose equation.”