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不等式恒成立与有解问题一直是高中生数学学习的难点,也是高考的热点,试题大多从函数、数列、不等式等内容交汇处入手,全面考查对概念的理解和思维的灵活性、深刻性、创新性,能体现学生分析与解决问题的综合能力.在近年高考中此类问题题型多样,形式灵活,解决的关键是要联系函数的性质和图象,灵活应用数学思想方法去分析和转化问题.
Inequality is always a problem of establishment and solution has always been a high school mathematics learning difficulties, but also a hot college entrance examination, most of the questions from the function, sequence, inequality and other content to start with a comprehensive examination of the concept of understanding and thinking of flexibility, profoundness, Innovative, can reflect the students’ ability to analyze and solve problems.In recent years, the college entrance examination in such questions are diverse and flexible form, the key to solve is to link the nature of the function and image, flexible application of mathematical ideas and methods to analyze and transform problem.