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在初中数学竞赛中,常有涉及含参数的一元二次方程有整数解,求其参数值或含有参数的代数式的值。本文仅就这类问题的解法做一些探索 一、判别式法 此法是利用判别式,并结合整数的有关性质来解决问题。 例1 设m是满足不等式1≤m≤50的
In the junior high school math competition, there is often a one-member quadratic equation with parameters that has an integer solution. Find the parameter value or the algebraic value that contains the parameter. This article only makes some explorations of the solution to this kind of problem. I. Discriminant method This method uses discriminants and combines the relevant properties of integers to solve problems. Example 1 Let m be to satisfy inequality 1 ≤ m ≤ 50