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高考题是对学生综合能力的考查,2015年全国Ⅱ卷理科数学高考第20题以直线和圆锥曲线的位置关系为切入点,对学生的探究能力和运算能力进行了全面的考查,其中第一问涉及定值问题,考查了学生的探究精神和预测能力.对该题解法本质的探究可以促成几个一般性的命题,进而对高考试题的涉及面进行推广,从中挖掘出圆锥曲线中一些比较重要的结论,体现了高考题的层次性和探究性,让学生在掌握知识结论的同时,了解知识的发生、发展过程.
The college entrance examination test is a test of students ’comprehensive abilities. In 2015, the National Questionnaire 20 of Science Mathematics Entrance Examination II deals with the relationship between the straight line and the conic curve as a starting point to conduct a comprehensive examination of the students’ inquiry ability and computing ability. The first Asking about the issue of fixed value and examining students’ spirit and ability to predict, the exploration of the nature of the solution can lead to several general propositions, and then to promote the involved aspects of the entrance examination questions, from which some of the conic curves are compared The important conclusion embodies the level and exploration of the college entrance examination questions, so that students grasp the knowledge conclusion at the same time, understand the occurrence of knowledge, the development process.