无理方程一节,不易为中学学生所接受。教本中仅从无理方程的解法说明方程两端同次乘方可能引入增根,所以无理方程的根必须验算。一般的中学学生对此理解并不深入,本文想谈谈本人几年来教学的体会,以供参考。 (一)应从实际问题出发明确什么叫无理方程来说明无理方程的生产。例如,某人民公社有甲乙两个居民点,甲在公路旁,乙在距公路6公里之处,两个居民点的距离为10公里,要在公路附近办一农业中学,使到 The unreasonable equation section is not easily accepted by secondary school students. In the textbook, only from the solution of the irrational equation, it can be stated that the roots of the irrational equation must be checked if the roots of the same order power are introduced into the equation. General secondary school students do not understand this deeply. This article would like to talk about my experience in teaching for several years for reference. (1) It should be clear from the actual problems what is called an irrational equation to illustrate the production of irrational equations. For example, a people’s commune has two residential areas A and B. A is next to the road. B is 6 kilometers away from the road. The distance between the two residential sites is 10 kilometers. An agricultural middle school should be established near the road.