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1. 在掌握等差数列、等比数列的定义、性质、通项公式、前n项和公式的基础上,系统掌握解等差数列与等比数列综合题的规律,深化数学思想方法在解题实践中的指导作用,灵活地运用数列知识和方法解决数学和实际生活中的有关问题;

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热点问题一:数列

数列是高中数学的重要内容,又是学习高等数学的基础。高考对本章的考查比较全面,等差数列,等比数列的考查每年都不会遗漏。有关数列的试题经常是综合题,经常把数列知识和指数函数、对数函数和不等式的知识综合起来,试题也常把等差数列、等比数列,求极限和数学归纳法综合在一起。探索性问题是高考的热点,常在数列解答题中出现。本章中还蕴含着丰富的数学思想,在主观题中着重考查函数与方程、转化与化归、分类讨论等重要思想,以及配方法、换元法、待定系数法等基本数学方法。

近几年来,高考关于数列方面的命题主要有以下三个方面;(1)数列本身的有关知识,其中有等差数列与等比数列的概念、性质、通项公式及求和公式。(2)数列与其它知识的结合,其中有数列与函数、方程、不等式、三角、几何的结合。(3)数列的应用问题,其中主要是以增长率问题为主。试题的难度有三个层次,小题大都以基础题为主,解答题大都以基础题和中档题为主,只有个别地方用数列与几何的综合,与函数、不等式的综合作为最后一题,难度较大。(文科考查以基础为主,有可能是压轴题)

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12.(★★★★★)David gets up early and takes a walk in the morning,______is usual with him.

   A.as B.that C.what D.such

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11.(★★★★★)I’ll never forget the days________I lived in the country with the farmers,________has a great effect on my life.

   A.that;which B.when;which C.which;that D.when;who

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10.(★★★★)Helen is much more kind to her youngest child than to the others,________of course,makes the others unhappy.

   A.who B.which C.she D.that

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9.(★★★★)That passenger was very impolite to the conductor,________of course,made things even worse.

   A.who B.whom C.what D.which

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8.(★★★★)Beijing government puts more than 700 million yuan to increase its green space this year,________doubles the money provided last year.

   A.as B.while C.that D.which

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7.(★★★★)Another unmanned spacecraft“ShenzhouⅡ”,________China greets the 21st century,marks new progress in the century’s space program.

   A.for which B.from which C.in which D.with which

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6.(★★★★★)Is there a shop around________I can get a pack of cigarette?

   A.which B.where C.that D. what

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5.(★★★★)“Who Moved My Chinese?”,________is a best-selling book,is written by Spencer Johnson.

   A.which B.that C.it D.what

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