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内容简介

　　本丛书由新东方从美国巴朗教育出版公司引进，是备考SAT考试的必备辅导用书。本书是关于数学部分的专项指南，介绍了数学考试的总体特点，针对数学各部分知识内容分析解题技巧，总结备考策略。同时，书中还提供大量练习题和全真模考题，并配有详尽的解析。本书适用于备考新SAT数学考试的所有考生，帮助考生实现全面突破。

作者简介

　　Lawrence S. Leff，美国纽约市富兰克林罗斯福高中前助理校长和数学部主席。从事数学教育多年，是美国资深的SAT考试与教育专家。

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目录

Preface .....................................................................................................................................iii
LEARNING ABOUT SAT MATH
1 Know What You’re Up Against ..........................................................................................3
Lesson 1-1 Getting Acquainted with the Redesigned SAT ......................................................4
Lesson 1-2 Multiple-Choice Questions ....................................................................................9
Lesson 1-3 Grid-In Questions ..................................................................................................14
2 SAT Math Strategies ...........................................................................................................21
Lesson 2-1 SAT Math Strategies You Need to Know .............................................................22
Lesson 2-2 Guessing and Calculators on the SAT ...................................................................71
THE FOUR MATHEMATICS CONTENT AREAS
3 Heart of Algebra..................................................................................................................81
Lesson 3-1 Some Beginning Math Facts .................................................................................82
Lesson 3-2 Solving Linear Equations ......................................................................................91
Lesson 3-3 Equations with More Than One Variable .............................................................100
Lesson 3-4 Polynomials and Algebraic Fractions ...................................................................106
Lesson 3-5 Factoring................................................................................................................114
Lesson 3-6 Quadratic Equations..............................................................................................122
Lesson 3-7 Systems of Equations ............................................................................................127
Lesson 3-8 Algebraic Inequalities ...........................................................................................138
Lesson 3-9 Absolute Value Equations and Inequalities ..........................................................144
Lesson 3-10 Graphing in the xy-Plane ....................................................................................149
Lesson 3-11 Graphing Linear Systems ...................................................................................168
Lesson 3-12 Working with Functions .....................................................................................177
Answer Key for Chapter 3 Tune-Up Exercises ......................................................................189
4 Problem Solving and Data Analysis .................................................................................193
Lesson 4-1 Working with Percent ..........................................................................................194
Lesson 4-2 Ratio and Variation ..............................................................................................200
Lesson 4-3 Rate Problems ......................................................................................................209
Lesson 4-4 Converting Units of Measurement .......................................................................215
Lesson 4-5 Linear and Exponential Functions ........................................................................220
Lesson 4-6 Graphs and Tables ................................................................................................234
Lesson 4-7 Scatterplots and Sampling ....................................................................................245
Lesson 4-8 Summarizing Data Using Statistics ......................................................................253
Answer Key for Chapter 4 Tune-Up Exercises ......................................................................261
5 Passport To Advanced Math ............................................................................................263
Lesson 5-1 Rational Exponents .............................................................................................264
Lesson 5-2 More Advanced Algebraic Methods ...................................................................270
Lesson 5-3 Complex Numbers ..............................................................................................280
Lesson 5-4 Completing The Square ......................................................................................285
Lesson 5-5 The Parabola and Its Equations ..........................................................................292
Lesson 5-6 Reflecting and Translating Function Graphs ......................................................305
Answer Key for Chapter 5 Tune-Up Exercises .....................................................................316
6 Additional Topics in Math ..............................................................................................317
Lesson 6-1 Reviewing Basic Geometry Facts.......................................................................318
Lesson 6-2 Area of Plane Figure...........................................................................................328
Lesson 6-3 Circles and Their Equations ...............................................................................339
Lesson 6-4 Solid Figures.......................................................................................................355
Lesson 6-5 Basic Trigonometry ...........................................................................................365
Lesson 6-6 The Unit Circle ...................................................................................................377
Answer Key for Chapter 6 Tune-Up Exercises ....................................................................386
SOLUTIONS FOR TUNE-UP EXERCISES
Worked out solutions for Chapters 3–6.................................................................................391
TAKING PRACTICE TESTS
Practice Test 1......................................................................................................................483
Answer Key ...........................................................................................................................506
Answer Explanations for Practice Test 1..............................................................................508
Practice Test 2......................................................................................................................521
Answer Key ...........................................................................................................................545
Answer Explanations for Practice Test 2...............................................................................547
How to Evaluate Your Performance on a Practice Test...................................................559

前言/序言

　　本书根据2016年改革后的SAT考试（以下简称新SAT考试）内容编写而成。如果正在备考SAT考试数学部分，那么以下简单易行的“四步”学习计划正是考生所需了解与掌握的：
　　STEP 1. Know what to expect on test day.
　　STEP 2. Become testwise.
　　STEP 3. Review SAT Math topics and SAT-type questions.
　　STEP 4. Take practice exams under test conditions.
　　STEP 1 KNOW WHAT TO EXPECT ON TEST DAY
　　第一章介绍SAT考试数学部分的形式、类型和题目要求。在正式考试中，这些信息不仅会为考生节约宝贵的时间，还会增加自信，避免因为没有充分理解题目要求而出现错误。
　　STEP 2 BECOME TESTWISE
　　第二章是极其重要的一章，主要讲解了SAT考试数学部分的基本解题技巧。学习这些解题技巧以及整本书中穿插的数学知识点将会帮助考生提高做题速度和正确率，进而取得高分。此外，本章还介绍了新SAT考试数学部分中新增的考点。
　　STEP 3 REVIEW SAT MATH TOPICS AND SAT-TYPE QUESTIONS
　　新SAT考试数学部分依然注重高中课本上的基本概念，但解题技巧与策略却有所不同。第三章至第六章是一个简短的数学复习课程。在这些章节中，考生可以发现大量按章节知识点设置的数学题目，它们都是围绕新SAT考试数学部分四大核心内容展开的：代数核心内容、问题求解与数据分析、高数基础以及其他一些基本的数学问题（如几何关系和三角关系）。因此，无论是自主复习，还是参加补习班进行复习，简单易行的概念介绍和课程设置都使得本书成为SAT考生的理想伴侣。同时，对于练习题目和样题，书中还附有详细的答案和解题思路。
　　STEP 4 TAKE PRACTICE EXAMS UNDER TEST CONDITIONS
　　俗话说：熟能生巧！本书最后一章提供了两套完整的新SAT考试数学模拟试题，并且附有答案和详细的解析。考生最好能模拟考试环境来完成这些试题，以便在实际考试中很好地把握答题时间。此外，这些试题也可以帮助考生发现并消除复习过程中的任何薄弱环节和知识漏洞。
　　Lawrence S. Leff

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