中学数学英语读本【2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载】

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Unit 1 Algebraic Expression1

Lesson 1 Multiplication,Addition and Subtraction1

Lesson 2 Expansion of Two Brackets4

Lesson 3 Squares and Harder Expansions6

Lesson 4 Yang Huei s Triangle8

Unit 2 Factorising12

Lesson 1 Factorising Quadratic Expressions12

Lesson 2 Harder Factorising15

Lesson 3 Factor Theorem18

Lesson 4 The Factors of a3-b3 and a3+b320

Lesson 1 Simplification of Fractions23

Unit 3 Fractions and Roots23

Lesson 2 Addition,Subtraction and Division26

Lesson 3 Surds(I)30

Lesson 4 Surds(II)33

Unit 4 Indices,Logarithms and Eqnations37

Lesson 1 Indices37

Lesson 2 Logarithms(I)41

Lesson 3 Logarithms(II)45

Lesson 4 Simple Equation49

Unit 5 Equation52

Lesson 1 Solution of the Quadratic Equations52

Lesson 2 Properties of the Roots of a Quadratic Equation56

Lesson 3 Solution of the Linear Equations60

Lesson 4 Disguised Quadratic Equations63

Unit 6 Mapping and Function66

Lesson 1 Concept of a Function68

Lesson 2 Characteristics of a Function72

Lesson 3 Solving Absolute Value Inequalities and Quadratic Inequalities76

Lesson 4 Powerful and Colorful Man in the History of Mathematics79

Unit 7 Related Functions81

Lesson 1 Exponential Functions81

Lesson 2 Logarithmic Functions86

Lesson 3 Quadratic Functions89

Lesson 4 Achilles Can Never Overtake the Tortoise91

Unit 8 Trigonometric Formulas93

Lesson 1 Radian Measurement of Angles94

Lesson 2 Trigonometric Functions of Any Angle99

Lesson 3 Addition Laws102

Lesson 4 Double-Angle and Half-Angle Identities107

Unit 9 Graphs and Characteristics of a Trigonometric Function110

Lesson 1 Graphing Sine and Cosine Functions111

Lesson 2 The Graph of the Function y=Asin(ωx+φ)115

Lesson 3 The Characteristics of Tangent Function120

Lesson 4 Sine and Cosine Rules124

Unit 10 The Appliance of the Function127

Lesson 1 Solving Practical Problems127

Lesson 2 Using of the Trigonometry130

Lesson 3 Maths History-a Story of Euler134

Lesson 4 A Test of the Function135

Lesson 1 Some Necessary Definitions and Designations138

Unit 11 Vectors(I)138

Lesson 2 The Sum of Vectors(I)142

Lesson 3 The Sum of Vectors(II)146

Lesson 4 Multiplication of a Vector by a Scalar150

Unit 12 Vectors(II)154

Lesson 1 The Condition of Complanarity of Vectors154

Lesson 2 Scalar Product of Vectors158

Lesson 3 Use the XOY System to Denote Vectors in Plane162

Lesson 4 The Condition of Collinear Vectors and Orthogonal Vectors166

Unit 13 Complex Number170

Lesson 1 Definition of a Complex Number170

Lesson 2 Properties of the Operations of Addition and Multiplication173

Lesson 3 Trigonometric Form177

Lesson 4 Multiplication and Division of Complex Number181

Unit 14 The Probability(I)185

Lesson 1 Permutations185

Lesson 2 Combinations189

Lesson 3 About Probability192

Lesson 4 More Examples of Experiments195

Unit 15 The Probability(II)199

Lesson 1 Definition of Probalility199

Lesson 2 Examples of Probability203

Lesson 3 Find the Probability of an Event207

Lesson 4 Examples of Computing the Probabilities210

Lesson 1 Limits(I)214

Unit 16 Limits214

Lesson 2 Limits(II)218

Lesson 3 Definition of Limit220

Lesson 4 Theorems on Limits224

Unit 17 The Definition of Derivative and Its Geometric Interpretation229

Lesson 1 The Definition of the Derivative229

Lesson 2 Differentiating Constants and axn233

Lesson 3 Geometric Interpretation of the Derivative236

Lesson 4 The Equation of Tangents and Normals239

Unit 18 Continuity and Limits of Sequences242

Lesson 1 Continuity and One-sided Limits242

Lesson 2 Limits at Infinity and Infinits Limits246

Lesson 3 Limits of Two Important Functions249

Lesson 4 Limits of Sequences251

Unit 19 Theorems on Differentiation254

Lesson 1 Theorems on Differentiation of Function254

Lesson 2 The Chain Rule-the Derivative of Function of Functions258

Lesson 3 Intervals of the Function261

Lesson 4 Stationary Values264

Unit 20 Integration267

Lesson 1 Differentiation Reversed267

Lesson 2 Using Integration to Find an Area270

Lesson 3 The Integration of Sinx and Cosx274

Lesson 4 The Derivative of f(x)=Inx and f(x)=ex277

Appendix I Keys280

Appendix II Vocabulary298

Appendix III Reference Books313