“三新”背景下的高中“直线与圆的位置关系”——教学实践与反思

“The Position Relationship between Line and Circle” in High School under the Background of “Three New”—Teaching Reflection and Practice

摘要: 在新教材、新课标和新高考的不断推进下，高中数学原有的教学方法存在一定的局限性，需要教师设计出更加合适的教学思路，促进课堂教学。在“直线与圆的位置关系”一课的教学中进行尝试，根据几何直观提出研究问题，通过代数运算解决问题，进而发展学生的直观想象、数学运算和逻辑推理素养。

Abstract: With the continuous advancement of new textbooks, new curriculum standards, and new college entrance exams, the original teaching methods of high school mathematics have certain limitations, requiring teachers to design more appropriate teaching approaches to promote classroom teaching. In the teaching of “The Position Relationship between a Line and a Circle”, we attempt to propose research questions based on geometric intuition, solve problems through algebraic operations, and then develop students’ intuitive imagination, mathematical operations, and logical reasoning literacy.