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新东方 GMAT数学高分快速突破

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数学是中国考生的强项,但想拿到高分甚至满分并不容易。基础好的同学往往不够重视,掉以轻心;基础差的同学则很难在短时间内把握GMAT数学的精要。《GMAT数学高分快速突破》对各类数学考题进行分项密集强化训练。考生可通过考题进一步熟悉、掌握相关数学术语,熟悉相关题目的问法、句型及解题方法和技巧。书中的题目全部来自于作者对新东方学员进行统计调查而产生的公认的易错题、重点题与难题,弥补了因新东方的课时限制而对数学讲解较少的缺陷。所有考试中遇到的或有可能遇到的数学术语均在附录中给出,并给出所有题目的详细讲解。本书第三篇给出与GMAT机考难度相当且为机考可能重点考查的模拟试题,考生可在考前30天左右限时进行训练。考生阅读本书必能起到事半功倍的功效,再也不用把过多的精力和时间浪费在枯燥的数学题上。
Content Description

《GMAT数学高分快速突破》是一本讲解全面、结构清晰、层次分明、逻辑有序的数学辅导用书。本书严格按照GMAT数学考试大纲编写,把握新命题动向,全面系统地梳理、归纳、讲解GMAT数学考点,免去考生因对某考点的生疏而寻读数学教科书之苦。书中提供大量GMAT数学易错题、重点题和难题,采用分项思维密集训练的方法,以激发考生的数学潜力。考生可通过考题进一步熟悉、掌握相关数学术语,熟悉相关题目的问法、句型及解题方法和技巧。此外,本书根据GMAT考点给出相应的仿真模考题,供考生进行实战模拟,查漏补缺,积累经验,取得高分。
Author Description

陈向东,中国人民大学经济学博士,美国哈佛商学院校友,北京青少年国际交流促进会副会长,全国青联委员,首届全国教育服务标准化技术委员会委员。曾任新东方教育科技集团执行总裁。
Catalogue

第一篇 GMAT 数学总论 1
第一章 GMAT数学概要 1
第二章 GMAT考生在数学考试中的常见错误 6
第三章 GMAT数学考试两大题型及其解题策略 11
第二篇 GMAT数学分类思维训练 24
第一章 Arithmetic (算术) 24
第一节 Integers(整数) 24
第二节 Fractions, Decimals and Percent(分数、 小数和百分比) 30
第三节 Problem Involving Sets (与集合有关的问题) 33
第四节 Permutation, Combination and Probability (排列, 组合及概率) 36
第五节 重点试题精练及解析 39
第二章 Algebra (代数) 80
第一节 Rules of Exponents (幂的运算) 80
第二节 Progression and Sequence (级数与数列) 83
第三节 Real Number (实数) 85
第四节 Variable and Algebraic Expression(变量和代数表达式) 87
第五节 Factorable Expression (因式分解) 87
第六节 Equations (方程) 89
第七节 Algebraic Inequalities (代数不等式) 94
第八节 Functions (函数) 96
第九节 数学归纳法 97
第十节 极限 97
第十一节 重点试题精练及解析 98
第三章 几何 (Geometry) 114
第一节 Plane Geometry (平面几何) 114
第二节 Solids Geometry (立体几何) 122
第三节 Coordinate Geometry (坐标几何) 124
第四节 重点试题精练及解析 127
第四章 Data Interpretation (数据解释) 151
第一节 数据解释的题型介绍 151
第二节 重点试题精练及解析 158
第五章 Word Problems (文字题) 170
第一节 Weighted Average Problems (加权平均问题) 170
第二节 Currency (Coin and Bill) Problems (货币问题) 170
第三节 Investment Problems (投资问题) 171
第四节 Motion Problems (运动问题) 172
第五节 流水行船问题 173
第六节 Work Problems (工作问题) 173
第七节 “牛吃草”问题 174
第八节 Mixture Problems (混和物问题) 175
第九节 鸽巢原理 (抽屉原则) 176
第十节 Age Problems (年龄问题) 176
第十一节 Problems Involving Overlapping Sets (集合问题) 177
第十二节 重点试题精练及解析 178
第三篇 GMAT数学思维训练270题 219
第四篇 GMAT数学机考模拟305题 239
附 录
附录一 GMAT常用数学术语汇编 280
附录二 GMAT常用数学符号及其英文表达 286
附录三 GMAT常用数学公式 288
附录四 Measurements 289
Introduction

GMAT是the Graduate Management Admission Test的简写,意思是管理研究生录取测试,北美大学管理研究生院用GMAT来评估申请者的入学资格,并预测入学后的第一年表现。GMAT考试是专门为商学院开发,并不断变革以适应商学院招生与教学的要求。在当今信息化的时代,要想取得成功,我们需要分析来自多方面的信息,并且基于这些信息做出规划和决策,所以,商学院学生应该具备从多元渠道汇总数据、解决复杂问题和进行统计分析等能力。
基于这些考虑,GMAC(管理专业研究生入学考试委员会,以下简称GMAC)对GMAT考试进行了改革,推出了新一代的考试。新一代的GMAT考试中增加了综合推理部分(Integrated Reasoning),考试时间为30分钟,包括4种题型:多源推理、表格分析、图形解读和二段式分析。该部分取代了以前考试中两篇分析写作文章中的一篇论说文(Issue),考生需要分析不同类型的数据,同时基于所获得的信息得出结论并解决问题。语文和数学部分的内容和分数保持不变,总体分数范围依然是200到800分,作文部分和新增的综合推理部分单独计分,考试总时间仍保持3小时30分不变。对中国考生而言,虽然取消了论说文,写作难度有所下降,但因为新增了综合推理,因此新一代的GMAT考试对考生的综合能力提出了更高的要求。
对于这次变革,GMAC总裁及首席执行官Dave Wilson表示:“从一开始,GMAC的目标便是帮助管理学院出色地培养全球下一代商业领袖。信息时代要求人才具备一套新的技能,需要综合语文与数学能力,分析来自各种来源的不同类型的数据。GMAT考试的变革可以评估这些技能,这对于在学校及商业世界中取得成功而言至关重要。”通过Dave Wilson的话,不难看出数学能力与语文水平对一个人在商界取得成功起着至关重要的作用。
就数学而言,难度有变大趋势。虽然数学是中国考生的强项,但想拿到高分甚至满分却不容易。基础好的同学不够重视,掉以轻心;基础差的同学很难短时间内把握住GMAT数学的精要。本书根据新的考试大纲进行了修订,增加了一些例题,丰富了一些练习,希冀能够帮助大家在数学方面考出更好的水平。
陈向东
第一版前言
准备GMAT考试,有没有必要花费有限的宝贵时间把数学题做上若干遍?GMAT数学所考查的知识点究竟是什么,有没有必要把高中数学甚至大学数学再复习一遍?GMAT数学机考之后考题有所变化,怎么样才能高效地利用GMAT数学笔试的考试试题去准备机考?许多许多的疑问以及许多许多的困惑都可以从本书中找到答案。作为一本全面系统地梳理、归纳、讲解GMAT数学考点并对之进行分项、密集强化训练的书,其写作原因主要是基于以下几个事实:
由于众所周知的原因,许多考生要么因考点的遗忘,要么因数学术语的生疏,要么因方法不当,做错或根本就不会做某些题目。全面梳理考点,归纳数学术语,指点做题技巧,能使我们事半功倍——在最短的时间内突破GMAT数学,从而有更多的时间与精力用在最易提高成绩的VERBAL和WRITING上。
GMAT数学机考之后,数学考试的时间、题量及难度都有所变化,部分笔试中简单无聊的题目已不可能成为考查的对象。而据不完全统计,90%以上的GMAT考生还是最终辛辛苦苦地花费了大量的宝贵时间做了若干遍笔试试题——题题必做,以求心里踏实。但大量反复地做一些考查初中甚至小学数学知识点的题目不仅仅会浪费一个人的宝贵时间(不言而喻,时间对于出国族人士而言甚为稀缺),而且还会降低一个人的思维敏捷度与判断对错的能力(一道简单的题目做过10遍以上,一个人的水平会降至最初的水平)。搜集、分析历年的GMAT考题,筛选并整理中国考生必做且能够真正适应机考的题目,能节省中国考生的宝贵时间,使我们在有限的宝贵时间内,做更多我们最应该做的事,做好更多的事,把事情做得更好!
很多朋友与新东方学校的学员都迫切希望能有一本对GMAT数学考点进行全面讲解、剖析、归纳并提供针对性训练的书。
本书具有以下几个特点:
透析出题规律,详尽梳理归纳数学考点,把握最新命题动向:完全按照ETS的数学考试大纲,全面系统地梳理、归纳、讲解GMAT数学考点,免去因某考点的生疏而寻读数学教科书之苦。
采用分项思维密集训练的方法,激发考生的数学潜力:在熟悉数学术语的基础之上,本书第二篇对各类数学考题进行分项密集强化训练。读者可通过考题进一步熟悉、掌握相关数学术语,并且熟悉相关题目的问法、句型及解题方法和技巧。
易错题、重点题与难题一览无遗:本书所选的所有题目全部来自于作者对新东方学员进行统计调查而产生的公认的易错题、重点题与难题,弥补了因新东方的课时限制而对数学讲解较少的缺陷。
数学术语、解题窍门全面总结:所有考试中遇到的或有可能遇到的数学术语均在附录中给出,并给出所有题目的详细讲解。
试题模拟:本书第三篇给出与GMAT机考难度相当且为机考可能重点考查的模拟试题,考生可在考前30天左右限时进行训练。
再也不用把过多的精力与时间浪费在简单无聊的数学题上:考生阅读本书必能起到事半功倍的功效,再也不用把过多的精力、时间浪费在简单无聊的数学题上。
真诚感谢新东方学校俞敏洪校长和包凡一副校长对本书构架的中肯意见以及对写作本书的鼓励与支持;更要感谢成千上万的学生,是他们的支持与上进精神使我能最终完成这本书;最后要感谢本书的责任编辑,他们的辛勤工作使本书更臻完美。
我尽力想奉献给大家一本讲解全面、结构清晰、层次分明、逻辑有序的数学辅导用书,诚挚希望本书能对广大GMAT考生在出国求学奋斗的道路上提供有力的帮助与支持,能够协助与激励大家更快更好更加成功地走向世界,创造人生新的辉煌。但毕竟因水平有限,所以我真心希望读者及各界人士能对本书的不足之处不吝赐教。
祝大家成功!
陈向东

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Jingdong book