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解三元一次方程组的关键是消元,将“三元”转化为“二元”,再将“二元”转化为“一元”。消元方法的选择要视方程组特点而定,若能从题目自身结构特征出发,采用灵活多变的求解策略,则可简化解题过程,达到开拓思路、活跃思维、培养创新能力的目的。现举例说明如下:
The key to solving the ternary equations is to eliminate the yuan, convert the “three yuan” to “binary”, and then convert the “binary” to “one yuan”. The selection of elimination method depends on the characteristics of the equation group. If we can proceed from the structural characteristics of the topic and adopt a flexible and varied solution strategy, we can simplify the problem-solving process and achieve the goal of opening up ideas, active thinking, and fostering innovation ability. An example is illustrated below: