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一、情景再现球面上两点间的距离计算是高中立体几何中的难点,在实际生活中也有着广泛的应用,通常可采用球面上两点的向量坐标和空间坐标求解.在那天的数学课上,我像往常一样走进教室,按照预设,首先用一个问题引入新课:如何求出郑州到北京的距离?问题一提出,同学们便展开了激烈的讨论.我提问了学生甲,因为此时他在翻阅手机,没有参与讨论.没有想到,他冷静地报出了答案:“698.2公里.”回答的精准出乎我的意料.“你用的是什么方法?”学
First, scene reproduction The calculation of the distance between two points on a spherical surface is a difficult point in high school solid geometry. It is also widely used in real life and can usually be solved by vector coordinates and space coordinates of two points on a spherical surface. As I walked into the classroom as usual, I first introduced a new lesson with a question: How to find the distance from Zhengzhou to Beijing? As soon as the question was raised, the students started an intense discussion. I asked students A, Because at this time he is looking through the phone, did not participate in the discussion.Unexpectedly, he calmly reported the answer: “698.2 km. ” The exact answer to my surprise. "What is the method you use? learn