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贵刊90年第十期袁建平老师的《确定三角方程中参数值域的方法和转化技巧》一文(下称《袁文》),读后受益匪浅。本文拟对处理此类问题的常用方法和转化技巧其它方面再作几点补充。一、分离参数法若能将方程中未知数和所含参数分离开来,可使有关问题化难为易,较快地找到解题方法。例1 证明不论参数m取何值,关于0的方程
The article “Method and Conversion Techniques for Determining Ranges of Parameters in the Trigonometric Equations” of Yuan Jianping, Teacher of the 10th issue of the 90th year of your journal (Yuan Wen), has benefited greatly from reading. This article proposes several additional additions to common methods for handling such problems and other aspects of translation techniques. First, if the separation parameter method can separate the unknown and the contained parameters in the equation, it will be difficult to solve the problem, and the problem-solving method will be found quickly. Example 1 proves that regardless of the value of the parameter m, the equation about 0