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內容簡介

　　本叢書由新東方從美國巴朗教育齣版公司引進，是備考SAT考試的必備輔導用書。本書是關於數學部分的專項指南，介紹瞭數學考試的總體特點，針對數學各部分知識內容分析解題技巧，總結備考策略。同時，書中還提供大量練習題和全真模考題，並配有詳盡的解析。本書適用於備考新SAT數學考試的所有考生，幫助考生實現全麵突破。

作者簡介

　　Lawrence S. Leff，美國紐約市富蘭剋林羅斯福高中前助理校長和數學部主席。從事數學教育多年，是美國資深的SAT考試與教育專傢。

內頁插圖

目錄

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

　　本書根據2016年改革後的SAT考試（以下簡稱新SAT考試）內容編寫而成。如果正在備考SAT考試數學部分，那麼以下簡單易行的“四步”學習計劃正是考生所需瞭解與掌握的：
　　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
　　第一章介紹SAT考試數學部分的形式、類型和題目要求。在正式考試中，這些信息不僅會為考生節約寶貴的時間，還會增加自信，避免因為沒有充分理解題目要求而齣現錯誤。
　　STEP 2 BECOME TESTWISE
　　第二章是極其重要的一章，主要講解瞭SAT考試數學部分的基本解題技巧。學習這些解題技巧以及整本書中穿插的數學知識點將會幫助考生提高做題速度和正確率，進而取得高分。此外，本章還介紹瞭新SAT考試數學部分中新增的考點。
　　STEP 3 REVIEW SAT MATH TOPICS AND SAT-TYPE QUESTIONS
　　新SAT考試數學部分依然注重高中課本上的基本概念，但解題技巧與策略卻有所不同。第三章至第六章是一個簡短的數學復習課程。在這些章節中，考生可以發現大量按章節知識點設置的數學題目，它們都是圍繞新SAT考試數學部分四大核心內容展開的：代數核心內容、問題求解與數據分析、高數基礎以及其他一些基本的數學問題（如幾何關係和三角關係）。因此，無論是自主復習，還是參加補習班進行復習，簡單易行的概念介紹和課程設置都使得本書成為SAT考生的理想伴侶。同時，對於練習題目和樣題，書中還附有詳細的答案和解題思路。
　　STEP 4 TAKE PRACTICE EXAMS UNDER TEST CONDITIONS
　　俗話說：熟能生巧！本書最後一章提供瞭兩套完整的新SAT考試數學模擬試題，並且附有答案和詳細的解析。考生最好能模擬考試環境來完成這些試題，以便在實際考試中很好地把握答題時間。此外，這些試題也可以幫助考生發現並消除復習過程中的任何薄弱環節和知識漏洞。
　　Lawrence S. Leff

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