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一、案例背景《两点的距离公式》是学生在学习了勾股定理后对在七年级下学期未曾完全解决的坐标平面内两点的距离问题的自然延续,符合学生渴望解决问题的心理要求。同时两点距离公式是以后学习平面解析几何的奠基知识,是在坐标平面内刻画几何图形性质有力工具,而且在数学学习与生活生产实际中都有广泛应用。二、案例陈述本节课是在学习了勾股定理后再应用定理来解决问题,主要教学目标是了解两点距离公式的推导过程,理解并初步掌握两点的
I. Case Background The “distance formula between two points” is a natural continuation of the distance between two points in the coordinate plane that has not been completely solved by the seventh graders in the semester after they have studied the Pythagorean Theorem, which is in line with the psychological requirements of students’ desire to solve the problem . At the same time, the formula of distance between two points is the foundation of knowledge of plane-resolving geometry in the future, and it is a powerful tool to depict the geometric properties in the plane of coordinate. It is also widely used in mathematics learning and production. Second, the case statement This lesson is to learn the Pythagorean theorem and then apply the theorem to solve the problem, the main teaching goal is to understand the derivation process of two-point distance formula to understand and initially grasp the two points