论文部分内容阅读
初中课本《二元二次方程组》一章,给出了特殊的二元二次方程组的解法。笔者认为:在教学中如能适当地指导学生引入参数解题,不但可以简化计算,而且有利于启迪学生思维,培养解题能力。本文通过实例,阐述引进参数解方程组的若干技巧。一引进参数确定方程组中未知数的比值例1 解方程组 4x~4-3xy~3-54y~4=4, x~2-3y~2=1. 分析:这类方程组的特点是:每个方程,除常数项外,关于未知数x,y是齐次的,可用如下
The chapter of the binary quadratic equation set in the junior high school textbook gives a solution to the special binary quadratic equations. The author believes that: in the teaching if we can guide the students to introduce parameters to solve problems, not only can simplify the calculation, but also conducive to enlighten students thinking, training ability to solve problems. In this paper, some examples of the introduction of parameters to solve equations are presented through examples. An introduced parameter determines the ratio of the unknowns in the equations. Example 1 Solution equations 4x~4-3xy~3-54y~4=4, x~2-3y~2=1. Analysis: The characteristics of these equations are: In addition to the constant term, the equations, about the unknown x, y, are homogeneous and can be used as follows: