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龙源期刊网 http://www.qikan.com.cn 分类讨论含参数的一元二次不等式 作者:罗玉华 来源:《读与写·教师版》2018 年第 05 期 摘要:含參数的一元二次不等式的解法是学生学习的一个难点,本文将按解法分类解析含 参数的一元二次不等式,以便学生快速掌握参数的一元二次不等式的解法。 关键词;含参数的一元二次不等式;分类讨论;解不等式;参数 中图分类号:G633.6 文献标识码:A 文章编号:1672-1578(2018)05-0166-01 在近年高考中,虽然没有出现专门考查含参数的一元二次不等式的题,但是出现很多与导 数、圆锥曲线等相结合考查的题目,这是高考中的一个重难点。解含参数的一元二次不等式, 通常情况下,均需分类讨论,充分体现了分类讨论的思想,那么如何分类讨论呢?对含参一元 二次不等式常用的分类方法有三种: 1.按 x2 项的系数 a 的符号分类 例 1 解不等式:ax2+(a+2)x+1>0。 龙源期刊网 http://www.qikan.com.cn

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