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不等式的计算与证明是高中教学的难点和重点,并且是高考的热点.笔者所在地区使用高考全国一卷,不等式多与函数、数列、解析几何、向量、三角函数相结合,难度为中等偏上.研究不等式,既要遵循证明不等式的基本思想和方法,又要结合自身的性质和结构特征.用导数单调性的方法会大大降低运算量,提高解题的成功率,同时立足课本,体现了对基础知识和重点知识的使用及掌握.
The calculation and demonstration of inequality are the difficulties and focuses of high school teaching, and are the hot spots in college entrance examination. The author uses a national college entrance examination roll in one area. The inequality is mostly combined with functions, series, analytic geometry, vectors and trigonometric functions. To study inequalities, we must follow the basic ideas and methods of proving inequalities, and combine their own properties and structural features with the method of derivative monotonicity, which will greatly reduce the computational complexity and improve the success rate of problem solving, meanwhile, based on the textbooks, The use of basic knowledge and key knowledge and master.