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众周所知,高考题是命题专家精心设计的杰作,倾注了命题人的心血和智慧,有些试题甚至是命题人研究成果的特例,这样的命题具有潜在的研究价值和教学价值,对高中数学的教学具有一定的导向性.2014年高考江西理科卷第20题就是这样一道优质高考题,该题在平淡中透露出亮点,具有很高的研究价值,笔者对其进行如下探究.
As Zhou Xuezhi knows, the college entrance examination question is a masterpiece elaborately designed by the proposition expert, devoted to the proposition person’s painstaking efforts and wisdom, and some of the questions are even special cases of the proposition research results. Such propositions have potential research value and teaching value. The teaching has a certain orientation. The 20th issue of the 2014 Jiangxi Provincial Science Examination Paper is such a high-quality college entrance examination question. The title reveals bright points in the plain and has high research value. The author explores it as follows.