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“点列”问题即是由曲线上的点为起源,编制而成的数列问题.它可以与函数、解析几何、数列、不等式以及导数等知识相互交汇,综合性强,表述简单易理解.以点列为载体考查数列知识的题目是2006年全国各地高考中的热点问题.共有7个省市11套文理科试卷均以点列为背景.点列问题多以填空或解答题的形式出现,且7个省份的试卷最后一题均不约而同地以点列问题作为压轴题,因而此类问题应予以足够的重视.本文对这一热点问题作分类探析,供同学们复习时参考.
The problem of “spotting” is a series of problems that have been compiled from the points on the curve. It can be combined with functions, analytical geometry, sequences, inequalities, and derivatives, etc. The synthesis is strong and the expression is simple and easy to understand. The topic listed as a vector to examine the series of knowledge is a hot topic in the national college entrance examination in 2006. A total of 11 sets of arts and sciences examination papers in 7 provinces and cities are all listed on the background. The questions are often filled in to fill in blank or answer questions. And the final questions of the 7 provinces’ examination papers all invariably take the question of points as the finale question. Therefore, such questions should be given enough attention. This article classifies and analyzes this hot topic for reference when the students review it.