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数学中某些问题,从正面解答较难或无从下手,如果根据题目的特点,建立起有关方程再用方程的某些性质,便可使问题迎刃而解.这种构造方程解题的方法,构思巧妙、简明,许多杂志都曾载文介绍过这种方法.然而,我们发现在有些文章中,(恕不点名)常发生这样或那样的错误.本文试通过这些错误例子,说明构造方程解题时应注意的几个问题. 一、要注意对构造方程系数的论讨,正确使用方程的有关性质解题例1 若x为实数,试证
Some problems in mathematics are difficult to answer from the front, or there is no way to start. If the equations are established according to the characteristics of the questions, then some of the properties of the equations can be used to solve the problem. This method of constructing the equations is ingenious. Concisely, many magazines have described this method in articles. However, we have found that in some articles, (not named) often occurs in one way or another. This paper attempts to illustrate the problems in constructing equations by using these error examples. Several issues that should be noted. First, attention should be paid to the discussion of the structural equation coefficients, the correct use of the relevant properties of the equation. Solution Example 1 If x is a real number, test