巧用分离变量构造函数、多次求导、罗必塔法则解导数题

• 作 者: 许万军
• 机 构: 广西百色市百色祈福高级中学,
• 出 处: 语数外学习(高中版上旬)
• 发表日期: 2016年09期
• 关键词: 罗必塔 构造函数 分离变量 数学思维能力 高考数学 计算技巧 不等式问题 恒成立 参数范围 分类讨论

导数题作为高考数学试卷的压轴题,对考生的能力要求非常高,它要求同学们不仅要有牢固的基础知识和基本技能,还要有较强的数学思维能力、数学构造能力以及数学解答能力,要会对计算程序、计算技巧等进行合理的组织和转化。作为压轴题,主要涉及利用导数求最值解决恒成立、存在性问题以及不等式问题中对参数范围进行求解。对一些

Derivative questions as a college entrance examination mathematics papers finale, the ability of candidates is very high, which requires students not only to have a solid foundation of basic knowledge and skills, but also have a strong mathematical thinking ability, mathematical construction ability and mathematical ability to answer , Should be on the calculation procedures, calculation skills, such as reasonable organization and transformation. As the finale problem, it mainly involves solving the range of parameters by using the maximum value of derivative to solve constant problem, existence problem and inequality problem. To some