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1、高考数列题的剖析与展望高考数列题的剖析与展望杭州高级中学杭州高级中学 丁国先丁国先 邮箱：邮箱：Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.2008年以前的高考数列题数列：客观题12题
2、主观题1题主观题主要涉及知识块：函数、三角函数与向量、不等式、数列解析几何、立体几何 特别是数列与不等式、数列与函数的综 合题，曾经使多少的学生望题生畏！高 三复习时，数列具有非常重要的地位， 可以说能数列者得高分.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty L
3、td.Copyright 2004-2011 Aspose Pty Ltd.2009年课程改革以来，新课标对数列的教 学要求有所降低，浙江省高考对数列的考 查要求变化很大！Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011
4、 Aspose Pty Ltd.20072011年(理科)数列 年份客观题观题主观题观题分值值 20072115200862219 2009 11420103 15920111914Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004
5、-2011 Aspose Pty Ltd.20072011年(文科)数列 年份客观题观题主观题观题分值值 200719142008418192009 1120182010 5 1419 2320111719 18Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd
6、.Copyright 2004-2011 Aspose Pty Ltd.2011高考浙江卷数列题(理科)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Ev
7、aluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.2011高考浙江卷数列题(文科)Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5
8、 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client
9、 Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.理科数学数列题重现解答题，取代近几年的概率解答题，这是今年浙江高考数学试卷的大变化，教师与学生的反映良好。(1)关注考试说明参考试卷的第19题预示数列作为解答题考 查，但要求略有提高，更体现灵活与综合(2)考题难度适中以基本量计算为出发点，结合常规的数列 求和方法。渗透分类讨论思想。Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3
10、.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.数列解答题出现的原因分析： 1.从整卷结构角度：概率化大为小，为数列题回归解答题提供可能 2.从中学教学角度：概率考查多年，概率教学中学难把握，而数列属于传统内容，中学教学易把握 3.从命题者角度：概率题难构建，概率应用题背景往往不公平数列题易编制，数列应用题的背景比较熟Eval
11、uation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.4.从考生答题的角度：学生解答数列题书写规范，分步给分现公平而概率题易重结果轻过程，判分难、误差大 5.从题目意义及思想价值的角度：数列题蕴含丰富的
12、数学思想方法，概率题难渗透深刻的数学思想方法 6.从其他各省命题情况来看：数列考查非常重视Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.2012年高考浙江卷数列题是否保留解答题？(1)高
13、考命题要有利于高校选拔人才、也要有利中学教学(2)高考命题保持题型稳定、稳中求变、 变中求新(3)高考题型的稳定性一般在3年及以上猜想：保留数列解答题的概率在80%以上Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 A
14、spose Pty Ltd.2012高考数列：考什么？ 怎么考？我们应该做什么？Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.1.重温教学指导意见对数列章节的教学要求2.参考2011考试
15、说明对数列的考试要求3.比较2007、2008与2011年浙江数列解答题，领会变化方向我们应该做的三件事：Evaluation only.Evaluation only. Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0.Created with Aspose.Slides for .NET 3.5 Client Profile 5.2.0.0. Copyright 2004-2011 Aspose Pty Ltd.Copyright 2004-2011 Aspose Pty Ltd.1.教学指导意见对数列章节的教学要
16、求数列基本要求 （1）理解数列的定义，了解数列是一类特殊函数。 （2）了解数列的几种简单的表示方法（列表、图象、通项公式）。 （3）认识数列是反映自然规律的基本模型。 （4）能根据给出的递推公式写出数列的前几项。 （5）理解等差（等比）数列的概念，掌握等差（等比）数列的通项公式。 （6）了解等差数列（等比）与一次函数（指数函数）的关系。 （7）能在具体的问题情境中，识别数列的等差（等比）关系，进而用等 差（等比）数列有关知识解决相应的问题。 （8）掌握等差（等比）数列前n项和的公式，并能用公式解决简单的问题。 （9）理解等差（等比）数列前n项和公式的推导方法。 （10）能利用等差（等比）数列前n项和公式极其性质求一些特殊数列的和。 （11）了解等比数列与指数函数的关系。 （12）等比数列的求和公式达到灵活应用。Evaluation only.Evaluation only. Created with Aspose.Slides f
