| SAT II 数学-Level 1 |
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2020-06-15 00:00:00 |
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SAT II 数学-Level 1 本书特色
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。
SAT II 数学-Level 1 内容简介
越来越多的高中生选择出国攻读大学课程，SAT考试成绩则是评估学生是否能胜任大学学习的决定性因素之一。
本系列SAT II考试丛书引进自美国知名教育出版公司McGraw-Hill Education，由SAT考试相关领域专家编写，是美国本土大学课堂使用教材，可以帮助考生提前适应全英学习模式。此系列中，SAT II各学科分册紧扣考试命题特点，囊括与考试相关的学科要点。同时，还精选针对性练习以及全真模拟试题，配以准确答案和详尽解析，利于考生巩固所学。
SAT II 数学-Level 1 目录
PART I. ABOUT THE SAT MATH LEVEL 1 TEST 1
Chapter
1 Test Basics / 3
About the Math
Level 1 Test / 3
The Level 1 vs.
Level 2 Test / 4
Chapter
2 Calculator Tips / 7
On the Day of the
Test / 8
Chapter
3 Diagnostic Test / 9
Answer Key / 25
Answers and
Solutions / 25
PART II. MATH REVIEW 37
Chapter
4 Algebra / 39
Evaluating
Expressions / 41
Order of
Operations / 41
Fractions / 41
Simplifying
Fractions / 41
Least Common
Denominator / 42
Multiplying
Fractions / 44
Using Mixed
Numbers and Improper Fractions / 44
Variables in the
Denominator / 45
Percents / 46
Converting
Percents to Decimals / 46
Converting
Fractions to Percents / 47
Percent Problems /
47
Exponents / 48
Properties of
Exponents / 48
Common Mistakes
with Exponents / 49
Rational Exponents
/ 50
Negative Exponents
/ 51
Variables in an
Exponent / 51
Real Numbers / 52
Vocabulary / 52
Properties of Real
Numbers / 53
Absolute Value /
56
Radical
Expressions / 57
Roots of Real
Numbers / 57
Simplest Radical
Form / 58
Rationalizing the
Denominator / 58
Conjugates / 60
Polynomials / 60
Vocabulary / 60
Adding and
Subtracting Polynomials / 61
Multiplying
Polynomials / 61
Factoring / 62
Quadratic
Equations / 64
Quadratic Formula
/ 65
Solving by
Substitution / 66
The Discriminant /
67
Equations with
Radicals / 67
Inequalities / 68
Transitive
Property of Inequality / 69
Addition and
Multiplication Properties / 69
“And” vs. “Or” /
69
Inequalities with
Absolute Value / 70
Rational Expressions
/ 71
Simplifying
Rational Expressions / 71
Multiplying and
Dividing Rational Expressions / 71
Adding and
Subtracting Rational Expressions /72
Solving Equations
with Rational Expressions / 73
Systems / 74
Solving by
Substitution / 74
Solving by Linear
Combination / 75
No Solution vs.
Infinite Solutions / 76
Word Problems with
Systems / 78
Chapter
5 Plane Geometry / 80
Undefined Terms /
81
Lines, Segments,
Rays / 83
Angles / 85
Measures of Angles
/ 85
Supplementary and
Complementary Angles / 86
Vertical Angles /
87
Linear Pairs of
Angles / 88
Triangles / 89
Types of Triangles
/ 89
Sum of Interior
Angles and Exterior Angles / 90
Medians,
Altitudes, and Angle Bisectors / 92
Congruent
Triangles / 93
Isosceles
Triangles / 95
Triangle
Inequality / 96
Pythagorean
Theorem / 97
Special Right
Triangles / 98
Parallel Lines /
100
Polygons / 101
Types of Polygons
/ 102
Perimeter / 103
Sum of the
Interior Angles / 103
Sum of the
Exterior Angles / 104
Special
Quadrilaterals / 105
Similarity / 106
Ratio and
Proportion / 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 of
Similar Figures / 119
Figures That
Combine Numerous Shapes / 119
Chapter
6 Solid Geometry / 122
Vocabulary for
Polyhedra / 123
Prisms / 124
Distance Between
Opposite Vertices of a Rectangular Prism / 126
Cylinders / 127
Pyramids / 129
Cones / 130
Spheres / 133
Volume Ratio of
Similar Figures / 134
Chapter
7 Coordinate Geometry / 135
Plotting Points /
136
Midpoint / 138
Distance / 138
Slope / 140
Slope of Parallel
and Perpendicular Lines / 141
Equations of Lines
/ 141
Horizontal and
Vertical Lines / 142
Standard Form /
142
Point-Slope Form /
143
Slope-Intercept
Form / 143
Determining x- and y-Intercepts / 145
Circles / 145
Parabolas / 147
Graphing
Inequalities / 150
Graphing Absolute
Value / 151
Chapter
8 Trigonometry / 153
Right Triangle
Trigonometry / 153
Relationships
Among Trigonometric Ratios / 156
Secant, Cosecant,
Cotangent / 156
Cofunction
Identities / 158
Inverse Functions
/ 159
Special Right
Triangles / 160
Trigonometric
Identities / 161
Chapter
9 Functions / 163
Functional
Notation / 164
Functions vs.
Relations / 167
Graphing Functions
/ 169
Composition of
Functions / 169
Identity, Zero,
and Constant Functions / 170
Determining the
Maximum or Minimum / 170
The Roots of a
Quadratic Function / 172
Inverse Functions
/ 173
Rational Functions
/ 175
Higher-Degree
Polynomial Functions / 176
Exponential
Functions / 178
Chapter
10 Data Analysis, Statistics, and Probability / 180
Counting Problems
/ 181
Probability / 183
Mean, Median, Mode
/ 184
Data
Interpretation / 186
Chapter
11 Number and Operations / 188
Invented
Operations / 189
“In Terms Of”
Problems / 190
Sequences / 190
Arithmetic
Sequences / 191
Geometric
Sequences / 192
Logic / 194
Number Theory /
196
PART III. SIX PRACTICE TESTS 199
Practice
Test 1 / 201
Answer Key / 216
Answers and
Solutions / 216
Diagnose Your
Strengths and Weaknesses / 222
Practice
Test 2 / 225
Answer Key / 240
Answers and
Solutions / 240
Diagnose Your
Strengths and Weaknesses / 246
Practice
Test 3 / 249
Answer Key / 264
Answers and
Solutions / 264
Diagnose Your
Strengths and Weaknesses / 270
Practice
Test 4 / 273
Answer Key / 288
Answers and
Solutions / 288
Diagnose Your
Strengths and Weaknesses / 295
Practice
Test 5 / 297
Answer Key / 312
Answers and
Solutions / 312
Diagnose Your
Strengths and Weaknesses / 319
Practice
Test 6 / 321
Answer Key / 338
Answers and
Solutions / 338
Diagnose Your Strengths and Weaknesses / 345
SAT II 数学-Level 1 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。
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