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一位学生求我解答《六年制重点中学高中数学立体几何》课本第47页习题六第七题:“求证:在已知二面角内,从二面角的棱出发的一个半平面内的任意一点到二面角的两个面的距离的比是一个常数.”我想给学生“解惑”,不能单纯使学生“学会”,更应使学生得到“会学”的启迪.为此我首先从相关的平面几何知识入手,打开学生思路.我向:“你还记得平面几何中角平
A student asked me to answer the question in “Six-Year Key Middle School High School Mathematical Stereo Geometry” textbook page 47. Exercise 6 Problem VII: “Prove: In a known dihedral angle, in a half-plane starting from the edge of a dihedral angle The ratio of the distance from any of the two points to the dihedral angle is a constant. ”I want to give students “disambiguation.” It should not simply enable students to “learn”. It should also enable students to be enlightened by “to learn.” This I started with the relevant knowledge of plane geometry and opened the student’s thinking. I told: "You remember the angle in plane geometry.