活用增元技巧巧解方程问题

• 作 者: 王素红
• 机 构: 湖北省襄阳市襄州县黄龙镇中心学校,
• 出 处: 数学大世界(初中版)
• 发表日期: 2015年Z2期
• 关键词: 技巧 无理方程 求解 解方程 分式 分类 方法

对于一些看起来较复杂的整式方程、分式方程和无理方程,在解方程时,我们总想尽力消元以减少元的个数求解,但在解某些方程时,情况恰好相反,巧妙地增设元,使方程由一元变多元,方程反倒容易求解,不妨称这种方法为增元法.本文旨在说明用增元法解某些特殊的方程.现分类举例说明如下,供参考.

For some seemingly complex integer equations, fractional equations and irrational equations, we always try to eliminate the elements to reduce the number of elements in the solution of the equations, but in solving some equations, the situation is the opposite, Add yuan to make the equation from a yuan to multivariate, the equation is easy to solve on the contrary, may wish to call this method for the augment method.This paper aims to explain the use of element method to solve some special equations are examples of classification as follows, for reference.