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近年来,随着我国高中现代化教育体制发展以及新课程改革的深入,对高中阶段各学科的学习提出了新的标准及要求。作为高中阶段的基础性学科之一,高中数学的学习越来越强调知识的迁移与综合运用能力。函数绝对值不等式的证明包含了函数、绝对值及不等式三个方面的知识运用,对知识整合与数学逻辑思维能力都有非常高的要求。本文针对函数绝对值不等式证明的难点,探讨了相应的解题策略。
In recent years, with the development of our modern high school education system and the deepening of the new curriculum reform, new standards and requirements have been put forward for the study of all subjects in the high school. As one of the basic subjects of high school, senior high school mathematics learning more and more emphasize the ability of knowledge transfer and comprehensive utilization. The proof of function inequality inequality contains the application of knowledge in three aspects: function, absolute value and inequality, and has very high requirements on knowledge integration and mathematical logical thinking. In this paper, the difficulty of proving the inequality of functions is discussed, and the corresponding solution strategies are discussed.