基于深度学习的“含参不等式恒成立问题”微设计

Microdesign of“Invariable Problem of Inequality with Parameters”Based on Deep Learning

含参不等式恒成立问题是高中数学的重要内容,也是高考的重要考点。进行的教学微设计融合深度学习的理念,从宏观上整体把握,精心设计教学内容,通过对含参不等式恒成立的相关问题以及解题方法、策略和技巧的研究,培养学生数学抽象、逻辑推理、直观想像以及数学运算等核心素养,同时为含参不等式恒成立问题的教与学提供参考。

The problem of whether an inequality with variables always holds is an important topic in high school mathematics and is also an important examinable area in the college entrance examination.This micro-teaching design combines the concept of deep learning to holistically grasp the teaching content and carefully design the teaching materials.Through research on the related problems and solving methods,strategies and skills of inequalities with variables,core competencies such as mathematical thinking,logical reasoning,intuitive imagination and mathematical operation are cultivated.It can also provide reference for teaching and learning of constant establishment of parametric inequalities.