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解二元、三元一次方程组的基本思想是“消元”,即设法消去方程中的某一个未知数,把“三元”变成“二元”,再变成“一元”,消元的数学方法是“代入法”、“加减法”,这些基本知识和技能必须熟练掌握,但“消元”技巧性强,在实际解题时,应根据方程组的结构特征,灵活运用。有关这方面内容的来稿很多,有长春市的蓝仲喜、王淑华、韩臣;山东省李秀珍、李琴堂、曹积怀;江苏省孙月信;湖北省毛洪华、王国钰;湖南省刘伟;河南省武丛领;江苏南京王维等老师。我们综合了以上各位老师的文章内容,形成下文介绍给大家,供学习时参考。
The basic idea of solving binary and ternary equations is “elimination,” that is, trying to eliminate one of the unknowns in the equation, turning “triple” into “binary” and then “one dollar”, eliminating the yuan. The mathematics method is “substitution method” and “addition and subtraction method”. These basic knowledge and skills must be mastered skillfully. However, the “elimination method” is very skillful. When the actual problem is solved, it should be used flexibly according to the structural features of the equation system. There are many contributions in this area, including Lan Zhongxi, Wang Shuhua, and Han Chen in Changchun City; Li Xiuzhen, Li Qintang, Cao Jihuai in Shandong Province; Sun Yuexin in Jiangsu Province; Mao Honghua, Wang Guojun in Hunan Province; Liu Wei in Hunan Province; Jiangsu Nanjing Wang Wei and other teachers. We have integrated the contents of the above teachers and formed the following for everyone, for reference when learning.