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新东方 SAT II 数学Level 1

作者: [美] John 著 , J. 著 , Diehl 著 , [美] Christine 著 , E. 著

出版社: 浙江教育出版社

出版时间: 2017-01

版次: 1

ISBN: 9787553650388

定价: 58.00

装帧: 其他

开本: 16开

纸张: 胶版纸

页数: 364页

字数: 419千字

分类: 语言文字

1 张插图图片

10人买过

本书由新东方从美国麦格劳-希尔出版公司独家引进，是备考SAT Ⅱ数学Level 1的权威辅导教材。本书不仅全面涵盖了SAT Ⅱ数学Level 1的考点，而且提供7套全真模拟试题供考生自测。此外，书中含有对所有题目的详细解析，便于考生认识自身的优势与不足，科学备考。 John J. Diehl：资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。

Christine E. Joyce: 资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。 PART I. ABOUT THE SAT MATH LEVEL 1 TEST 1

Chapter1 Test Basics / 3

About the MathLevel 1 Test / 3

The Level 1 vs.Level 2 Test / 4

Chapter2 Calculator Tips / 7

On the Day of theTest / 8

Chapter3 Diagnostic Test / 9

Answer Key / 25

Answers andSolutions / 25

PART II. MATH REVIEW 37

Chapter4 Algebra / 39

EvaluatingExpressions / 41

Order ofOperations / 41

Fractions / 41

SimplifyingFractions / 41

Least CommonDenominator / 42

MultiplyingFractions / 44

Using MixedNumbers and Improper Fractions / 44

Variables in theDenominator / 45

Percents / 46

ConvertingPercents to Decimals / 46

ConvertingFractions to Percents / 47

Percent Problems /47

Exponents / 48

Properties ofExponents / 48

Common Mistakeswith Exponents / 49

Rational Exponents/ 50

Negative Exponents/ 51

Variables in anExponent / 51

Real Numbers / 52

Vocabulary / 52

Properties of RealNumbers / 53

Absolute Value /56

RadicalExpressions / 57

Roots of RealNumbers / 57

Simplest RadicalForm / 58

Rationalizing theDenominator / 58

Conjugates / 60

Polynomials / 60

Vocabulary / 60

Adding andSubtracting Polynomials / 61

MultiplyingPolynomials / 61

Factoring / 62

QuadraticEquations / 64

Quadratic Formula/ 65

Solving bySubstitution / 66

The Discriminant /67

Equations withRadicals / 67

Inequalities / 68

TransitiveProperty of Inequality / 69

Addition andMultiplication Properties / 69

“And” vs. “Or” /69

Inequalities withAbsolute Value / 70

Rational Expressions/ 71

SimplifyingRational Expressions / 71

Multiplying andDividing Rational Expressions / 71

Adding andSubtracting Rational Expressions /72

Solving Equationswith Rational Expressions / 73

Systems / 74

Solving bySubstitution / 74

Solving by LinearCombination / 75

No Solution vs.Infinite Solutions / 76

Word Problems withSystems / 78

Chapter5 Plane Geometry / 80

Undefined Terms /81

Lines, Segments,Rays / 83

Angles / 85

Measures of Angles/ 85

Supplementary andComplementary Angles / 86

Vertical Angles /87

Linear Pairs ofAngles / 88

Triangles / 89

Types of Triangles/ 89

Sum of InteriorAngles and Exterior Angles / 90

Medians,Altitudes, and Angle Bisectors / 92

CongruentTriangles / 93

IsoscelesTriangles / 95

TriangleInequality / 96

PythagoreanTheorem / 97

Special RightTriangles / 98

Parallel Lines /100

Polygons / 101

Types of Polygons/ 102

Perimeter / 103

Sum of theInterior Angles / 103

Sum of theExterior Angles / 104

SpecialQuadrilaterals / 105

Similarity / 106

Ratio andProportion / 106

Similar Triangles/ 107

Circles / 109

Chords / 109

Tangents / 110

Arcs and Angles /111

Circumference /113

Arc Length / 114

Area / 116

Area Formulas /116

Area vs. Perimeter/ 118

Area Ratio ofSimilar Figures / 119

Figures ThatCombine Numerous Shapes / 119

Chapter6 Solid Geometry / 122

Vocabulary forPolyhedra / 123

Prisms / 124

Distance BetweenOpposite Vertices of a Rectangular Prism / 126

Cylinders / 127

Pyramids / 129

Cones / 130

Spheres / 133

Volume Ratio ofSimilar Figures / 134

Chapter7 Coordinate Geometry / 135

Plotting Points /136

Midpoint / 138

Distance / 138

Slope / 140

Slope of Paralleland Perpendicular Lines / 141

Equations of Lines/ 141

Horizontal andVertical Lines / 142

Standard Form /142

Point-Slope Form /143

Slope-InterceptForm / 143

Determining x- and y-Intercepts / 145

Circles / 145

Parabolas / 147

GraphingInequalities / 150

Graphing AbsoluteValue / 151

Chapter8 Trigonometry / 153

Right TriangleTrigonometry / 153

RelationshipsAmong Trigonometric Ratios / 156

Secant, Cosecant,Cotangent / 156

CofunctionIdentities / 158

Inverse Functions/ 159

Special RightTriangles / 160

TrigonometricIdentities / 161

Chapter9 Functions / 163

FunctionalNotation / 164

Functions vs.Relations / 167

Graphing Functions/ 169

Composition ofFunctions / 169

Identity, Zero,and Constant Functions / 170

Determining theMaximum or Minimum / 170

The Roots of aQuadratic Function / 172

Inverse Functions/ 173

Rational Functions/ 175

Higher-DegreePolynomial Functions / 176

ExponentialFunctions / 178

Chapter10 Data Analysis, Statistics, and Probability / 180

Counting Problems/ 181

Probability / 183

Mean, Median, Mode/ 184

DataInterpretation / 186

Chapter11 Number and Operations / 188

InventedOperations / 189

“In Terms Of”Problems / 190

Sequences / 190

ArithmeticSequences / 191

GeometricSequences / 192

Logic / 194

Number Theory /196

PART III. SIX PRACTICE TESTS 199

PracticeTest 1 / 201

Answer Key / 216

Answers andSolutions / 216

Diagnose YourStrengths and Weaknesses / 222

PracticeTest 2 / 225

Answer Key / 240

Answers andSolutions / 240

Diagnose YourStrengths and Weaknesses / 246

PracticeTest 3 / 249

Answer Key / 264

Answers andSolutions / 264

Diagnose YourStrengths and Weaknesses / 270

PracticeTest 4 / 273

Answer Key / 288

Answers andSolutions / 288

Diagnose YourStrengths and Weaknesses / 295

PracticeTest 5 / 297

Answer Key / 312

Answers andSolutions / 312

Diagnose YourStrengths and Weaknesses / 319

PracticeTest 6 / 321

Answer Key / 338

Answers andSolutions / 338

Diagnose Your Strengths and Weaknesses / 345
内容简介:
本书由新东方从美国麦格劳-希尔出版公司独家引进，是备考SAT Ⅱ数学Level 1的权威辅导教材。本书不仅全面涵盖了SAT Ⅱ数学Level 1的考点，而且提供7套全真模拟试题供考生自测。此外，书中含有对所有题目的详细解析，便于考生认识自身的优势与不足，科学备考。
作者简介:
John J. Diehl：资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。

Christine E. Joyce: 资深SAT教学与考试专家，拥有多年SAT经济学教学经验，并担任AP统计学考试考官，熟知SAT考试特点。
目录:
PART I. ABOUT THE SAT MATH LEVEL 1 TEST 1

Chapter1 Test Basics / 3

About the MathLevel 1 Test / 3

The Level 1 vs.Level 2 Test / 4

Chapter2 Calculator Tips / 7

On the Day of theTest / 8

Chapter3 Diagnostic Test / 9

Answer Key / 25

Answers andSolutions / 25

PART II. MATH REVIEW 37

Chapter4 Algebra / 39

EvaluatingExpressions / 41

Order ofOperations / 41

Fractions / 41

SimplifyingFractions / 41

Least CommonDenominator / 42

MultiplyingFractions / 44

Using MixedNumbers and Improper Fractions / 44

Variables in theDenominator / 45

Percents / 46

ConvertingPercents to Decimals / 46

ConvertingFractions to Percents / 47

Percent Problems /47

Exponents / 48

Properties ofExponents / 48

Common Mistakeswith Exponents / 49

Rational Exponents/ 50

Negative Exponents/ 51

Variables in anExponent / 51

Real Numbers / 52

Vocabulary / 52

Properties of RealNumbers / 53

Absolute Value /56

RadicalExpressions / 57

Roots of RealNumbers / 57

Simplest RadicalForm / 58

Rationalizing theDenominator / 58

Conjugates / 60

Polynomials / 60

Vocabulary / 60

Adding andSubtracting Polynomials / 61

MultiplyingPolynomials / 61

Factoring / 62

QuadraticEquations / 64

Quadratic Formula/ 65

Solving bySubstitution / 66

The Discriminant /67

Equations withRadicals / 67

Inequalities / 68

TransitiveProperty of Inequality / 69

Addition andMultiplication Properties / 69

“And” vs. “Or” /69

Inequalities withAbsolute Value / 70

Rational Expressions/ 71

SimplifyingRational Expressions / 71

Multiplying andDividing Rational Expressions / 71

Adding andSubtracting Rational Expressions /72

Solving Equationswith Rational Expressions / 73

Systems / 74

Solving bySubstitution / 74

Solving by LinearCombination / 75

No Solution vs.Infinite Solutions / 76

Word Problems withSystems / 78

Chapter5 Plane Geometry / 80

Undefined Terms /81

Lines, Segments,Rays / 83

Angles / 85

Measures of Angles/ 85

Supplementary andComplementary Angles / 86

Vertical Angles /87

Linear Pairs ofAngles / 88

Triangles / 89

Types of Triangles/ 89

Sum of InteriorAngles and Exterior Angles / 90

Medians,Altitudes, and Angle Bisectors / 92

CongruentTriangles / 93

IsoscelesTriangles / 95

TriangleInequality / 96

PythagoreanTheorem / 97

Special RightTriangles / 98

Parallel Lines /100

Polygons / 101

Types of Polygons/ 102

Perimeter / 103

Sum of theInterior Angles / 103

Sum of theExterior Angles / 104

SpecialQuadrilaterals / 105

Similarity / 106

Ratio andProportion / 106

Similar Triangles/ 107

Circles / 109

Chords / 109

Tangents / 110

Arcs and Angles /111

Circumference /113

Arc Length / 114

Area / 116

Area Formulas /116

Area vs. Perimeter/ 118

Area Ratio ofSimilar Figures / 119

Figures ThatCombine Numerous Shapes / 119

Chapter6 Solid Geometry / 122

Vocabulary forPolyhedra / 123

Prisms / 124

Distance BetweenOpposite Vertices of a Rectangular Prism / 126

Cylinders / 127

Pyramids / 129

Cones / 130

Spheres / 133

Volume Ratio ofSimilar Figures / 134

Chapter7 Coordinate Geometry / 135

Plotting Points /136

Midpoint / 138

Distance / 138

Slope / 140

Slope of Paralleland Perpendicular Lines / 141

Equations of Lines/ 141

Horizontal andVertical Lines / 142

Standard Form /142

Point-Slope Form /143

Slope-InterceptForm / 143

Determining x- and y-Intercepts / 145

Circles / 145

Parabolas / 147

GraphingInequalities / 150

Graphing AbsoluteValue / 151

Chapter8 Trigonometry / 153

Right TriangleTrigonometry / 153

RelationshipsAmong Trigonometric Ratios / 156

Secant, Cosecant,Cotangent / 156

CofunctionIdentities / 158

Inverse Functions/ 159

Special RightTriangles / 160

TrigonometricIdentities / 161

Chapter9 Functions / 163

FunctionalNotation / 164

Functions vs.Relations / 167

Graphing Functions/ 169

Composition ofFunctions / 169

Identity, Zero,and Constant Functions / 170

Determining theMaximum or Minimum / 170

The Roots of aQuadratic Function / 172

Inverse Functions/ 173

Rational Functions/ 175

Higher-DegreePolynomial Functions / 176

ExponentialFunctions / 178

Chapter10 Data Analysis, Statistics, and Probability / 180

Counting Problems/ 181

Probability / 183

Mean, Median, Mode/ 184

DataInterpretation / 186

Chapter11 Number and Operations / 188

InventedOperations / 189

“In Terms Of”Problems / 190

Sequences / 190

ArithmeticSequences / 191

GeometricSequences / 192

Logic / 194

Number Theory /196

PART III. SIX PRACTICE TESTS 199

PracticeTest 1 / 201

Answer Key / 216

Answers andSolutions / 216

Diagnose YourStrengths and Weaknesses / 222

PracticeTest 2 / 225

Answer Key / 240

Answers andSolutions / 240

Diagnose YourStrengths and Weaknesses / 246

PracticeTest 3 / 249

Answer Key / 264

Answers andSolutions / 264

Diagnose YourStrengths and Weaknesses / 270

PracticeTest 4 / 273

Answer Key / 288

Answers andSolutions / 288

Diagnose YourStrengths and Weaknesses / 295

PracticeTest 5 / 297

Answer Key / 312

Answers andSolutions / 312

Diagnose YourStrengths and Weaknesses / 319

PracticeTest 6 / 321

Answer Key / 338

Answers andSolutions / 338

Diagnose Your Strengths and Weaknesses / 345

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新东方 SAT II 数学Level 1

内容简介:

作者简介:

目录: