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在求解涉及直线与圆锥曲线关系问题时,常用方法是:联立方程组——代入消元——整理成一元二次方程——利用根与系数关系结合直线方程求解.但这种方法较为繁琐,对运算能力等要求较高.本文以2007年高考两道压卷题为例,探究这类问题的一种简捷解法——常量代换法.
When solving problems involving the relationship between straight lines and conic curves, the commonly used methods are: simultaneous equations - substitution into elimination - collation into a quadratic equation - using root and coefficient relations in combination with linear equations to solve. But this method is more tedious The requirements for computing power are high. This paper takes the two college entrance exams in 2007 as an example to explore a simple solution to this type of problem - the constant substitution method.