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一、问题的提出前一阶段在讲授选修2-1的第二章《圆锥曲线》时,有一位学生问我有没有听过《悲伤双曲线》这首歌,我说没有,学生说老师你OUT了.事后我到网上去听了这首歌,觉得旋律好听,歌词写得更好:“如果我是双曲线,你就是那渐近线,如果我是反比函数,你就是那坐标轴,虽然我们有缘,能够生在同一个平面,然而我们又无缘,漫漫长路无交点,为何看不见,等式成立要条件,难到正如书上说的,无限接近不能达到……”
First, the issue raised in the previous stage in the elective 2-1 Chapter 2 “Conic Curve”, a student asked me if I have not heard of “sad hyperbolic” song, I said no, the students say the teacher you OUT. Later, I went to the Internet to listen to this song, I feel good melody, lyrics written better: "If I was hyperbola, you are that asymptotic line, if I was inverse function, you are that axis Although we have the affinity and can be born in the same plane, yet we have no chance. There is no long way to go and why we can not see it. The conditions for the establishment of the equation are hard to come by. As the book says,