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《中小学数学》(初中版)2010年第7、8期《和二次函数有关的最短距离问题》一文.拜读后,我不由想起今年我市中考的一道压轴题.它的最后一问也是和二次函数有关的最短距离问题.不过这道题的解题策略却是通过探究发现抛物线上任一动点到一定点的距离等于到一定直线的距离,进而根据这一特性进行线段的转换,最后利用垂线段最短来解决问题.这道题是近年中考中和二次函数有关的最短距离问题“变异”的一个典型.面对新问题,学生解决情况如何呢?据了解,全市约85000名考生无一人完全答对该题.是何原因?笔者做了点滴分析,以期能与同行交流并改进日后的教学工作.
“Primary and secondary mathematics” (junior high school edition) 2010 7, 8 “and the quadratic function of the shortest distance problem.” After reading, I can not help but think of this year's city entrance exam in a finale. And the quadratic function of the shortest distance problem.However, this problem solving strategy is to explore the parabola found that any moving point to a certain point distance equal to a certain straight line distance, and then according to the characteristics of the line segment conversion, and finally Using the shortest vertical section to solve the problem.This problem is the middle school in recent years and the quadratic function of the shortest distance problem “variation ” a typical face of new problems, students solve the situation? It is understood that the city about 85000 What is the reason? The author made a bit of analysis, with a view to be able to communicate with peers and improve the teaching of the future.