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。《新东方 SAT数学专项突破与模拟试题》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。《新东方 SAT数学专项突破与模拟试题》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

  LawrenceS.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。

目录

Preface.....................................................................................................................................iii
LEARNINGABOUTSATMATH
1KnowWhatYou’reUpAgainst..........................................................................................3
Lesson1-1GettingAcquaintedwiththeRedesignedSAT......................................................4
Lesson1-2Multiple-ChoiceQuestions....................................................................................9
Lesson1-3Grid-InQuestions..................................................................................................14
2SATMathStrategies...........................................................................................................21
Lesson2-1SATMathStrategiesYouNeedtoKnow.............................................................22
Lesson2-2GuessingandCalculatorsontheSAT...................................................................71
THEFOURMATHEMATICSCONTENTAREAS
3HeartofAlgebra..................................................................................................................81
Lesson3-1SomeBeginningMathFacts.................................................................................82
Lesson3-2SolvingLinearEquations......................................................................................91
Lesson3-3EquationswithMoreThanOneVariable.............................................................100
Lesson3-4PolynomialsandAlgebraicFractions...................................................................106
Lesson3-5Factoring................................................................................................................114
Lesson3-6QuadraticEquations..............................................................................................122
Lesson3-7SystemsofEquations............................................................................................127
Lesson3-8AlgebraicInequalities...........................................................................................138
Lesson3-9AbsoluteValueEquationsandInequalities..........................................................144
Lesson3-10Graphinginthexy-Plane....................................................................................149
Lesson3-11GraphingLinearSystems...................................................................................168
Lesson3-12WorkingwithFunctions.....................................................................................177
AnswerKeyforChapter3Tune-UpExercises......................................................................189
4ProblemSolvingandDataAnalysis.................................................................................193
Lesson4-1WorkingwithPercent..........................................................................................194
Lesson4-2RatioandVariation..............................................................................................200
Lesson4-3RateProblems......................................................................................................209
Lesson4-4ConvertingUnitsofMeasurement.......................................................................215
Lesson4-5LinearandExponentialFunctions........................................................................220
Lesson4-6GraphsandTables................................................................................................234
Lesson4-7ScatterplotsandSampling....................................................................................245
Lesson4-8SummarizingDataUsingStatistics......................................................................253
AnswerKeyforChapter4Tune-UpExercises......................................................................261
5PassportToAdvancedMath............................................................................................263
Lesson5-1RationalExponents.............................................................................................264
Lesson5-2MoreAdvancedAlgebraicMethods...................................................................270
Lesson5-3ComplexNumbers..............................................................................................280
Lesson5-4CompletingTheSquare......................................................................................285
Lesson5-5TheParabolaandItsEquations..........................................................................292
Lesson5-6ReflectingandTranslatingFunctionGraphs......................................................305
AnswerKeyforChapter5Tune-UpExercises.....................................................................316
6AdditionalTopicsinMath..............................................................................................317
Lesson6-1ReviewingBasicGeometryFacts.......................................................................318
Lesson6-2AreaofPlaneFigure...........................................................................................328
Lesson6-3CirclesandTheirEquations...............................................................................339
Lesson6-4SolidFigures.......................................................................................................355
Lesson6-5BasicTrigonometry...........................................................................................365
Lesson6-6TheUnitCircle...................................................................................................377
AnswerKeyforChapter6Tune-UpExercises....................................................................386
SOLUTIONSFORTUNE-UPEXERCISES
WorkedoutsolutionsforChapters3–6.................................................................................391
TAKINGPRACTICETESTS
PracticeTest1......................................................................................................................483
AnswerKey...........................................................................................................................506
AnswerExplanationsforPracticeTest1..............................................................................508
PracticeTest2......................................................................................................................521
AnswerKey...........................................................................................................................545
AnswerExplanationsforPracticeTest2...............................................................................547
HowtoEvaluateYourPerformanceonaPracticeTest...................................................559

前言/序言

  《新东方 SAT数学专项突破与模拟试题》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:
  STEP1.Knowwhattoexpectontestday.
  STEP2.Becometestwise.
  STEP3.ReviewSATMathtopicsandSAT-typequestions.
  STEP4.Takepracticeexamsundertestconditions.
  STEP1KNOWWHATTOEXPECTONTESTDAY
  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。
  STEP2BECOMETESTWISE
  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《新东方 SAT数学专项突破与模拟试题》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。
  STEP3REVIEWSATMATHTOPICSANDSAT-TYPEQUESTIONS
  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《新东方 SAT数学专项突破与模拟试题》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。
  STEP4TAKEPRACTICEEXAMSUNDERTESTCONDITIONS
  俗话说:熟能生巧!《新东方 SAT数学专项突破与模拟试题》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。
  LawrenceS.Leff


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