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在双曲线知识的教学过程中,经常会遇到这样一类中点弦的题目———即对双曲线弦的中点所在位置进行探讨的问题。题目有时解是存在的,有时计算出来的解又是必须舍去了。这部分的技巧学生掌握起来难度较大,题目丢分现象比较普遍。在此我在教学过程中总结情况形成了一个猜想,用来判断双曲线弦的中点位置,能迅速帮助学生判断中点所在的位置是否合理,在此和大家一起分享与交流。
In the process of teaching hyperbolic knowledge, we often encounter such a mid-range chord title --- that is, the location of the midpoint of the hyperbolic string to explore the issue. Sometimes the solution to the problem exists, and sometimes the calculated solution must be discarded. This part of the skills of students to master more difficult, the phenomenon of dropping points is more common. Here I am in the teaching process to summarize the situation formed a conjecture, used to determine the midpoint of hyperbolic strings position, can quickly help students determine the location of the mid-point is reasonable, where to share and exchange with everyone.