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Jiangsu senior high school mathematics textbook
Compulsory course 1-5 for students of arts and sciences;

Science will also learn elective courses 2- 1, 2-2, 2-3, 4- 1, 4-2, etc.

Liberal arts only need to study elective courses 1- 1 and 1-2. . . Mainly depends on the content of the class! Sometimes I secretly decide to suddenly re-elect! ! ! ! ! ! ! ! ! ! ! ! !

Chapter 65438 +0 Collection

The Meaning and Representation of 1. 1 Set

1.2 subset, complete set and complement set

1.3 intersection and union

Chapter II Concept of Function and Basic Elementary Function Ⅰ

2. 1 Functional concepts and images

Concept and image of function

Representation method of function

Simple properties of functions

The concept of mapping

2.2 Exponential function

Fractional exponential power

exponential function

2.3 Logarithmic function

logarithm

logarithmic function

2.4 power function

2.5 Functions and Equations

Quadratic function and unary quadratic equation

Approximate solution of equation by dichotomy

2.6 Functional model and its application

Mathematics 2

The third chapter is the preliminary study of solid geometry.

3. 1 space geometry

Prisms, pyramids and frustums

Cylinders, cones, frustums and spheres

Central projection and parallel projection

Direct drawing

Spatial graphic expansion diagram

Volumes of cylinders, cones, tables and balls

3.2 positional relationship between points, lines and surfaces

Basic properties of plane

The positional relationship between two straight lines in space

The positional relationship between straight line and plane

The positional relationship between planes

The fourth chapter is the preliminary analysis of plane analytic geometry.

4. 1 row sum equation

Linear slope

Linear equation

Parallelism and verticality of two straight lines

The intersection of two straight lines

The distance between two points on a plane

Distance from point to straight line

4.2 Circle Sum Equation

Equation of circle

The positional relationship between straight line and circle

The positional relationship between circles

4.3 Spatial Cartesian Coordinate System

Space rectangular coordinate system

The distance between two points in space

Math 3

Chapter 5 Preliminary Algorithm

5. The significance of1algorithm

5.2 Flowchart

5.3 Basic algorithm statement

5.4 Algorithm Case

Chapter VI Statistics

6. 1 sampling method

6.2 Population distribution estimation

6.3 Estimation of population characteristics

6.4 Linear regression equation

Chapter VII Probability

7. 1 Random events and their probabilities

7.2 Classical probability

7.3 Geometric probability

7.4 mutually exclusive events and its occurrence probability

Math 4

Chapter VIII Trigonometric Functions

8. 1 arbitrary angle and radian

8.2 trigonometric function at any angle

8.3 Images and Properties of Trigonometric Functions

Chapter 9 Plane Vector

9. The concept and representation of1vector

9.2 Linear Operation of Vector

9.3 Coordinate Representation of Vector

9.4 Quantity product of vectors

9.5 Application of Vector

Chapter 10 Triangular Identity Transformation

10. 1 trigonometric function of sum and difference of two angles

10.2 double-angle trigonometric function

10.3 several trigonometric identities

Math 5

Chapter 1 1 Solving Triangle

1 1. 1 sine theorem

1 1.2 cosine theorem

Application of Sine Theorem and Cosine Theorem in 1 1.3

Chapter 65438 +02 series

12. 1 arithmetic progression

12.2 geometric series

Further understanding of 12.3 sequence

Chapter 13 inequality

13. 1 inequality relation

13.2 unary quadratic inequality

13.3 Binary Linear Inequalities and Simple Linear Programming Problems

13.4 basic inequality

Elective series 1

1- 1

Chapter 65438 +0 Common Logical Terms

1. 1 proposition and its relationship

1.2 Simple logical connectives

1.3 Full name quantifier and existential quantifier

Chapter II Conic Curve and Equation

2. 1 conic curve

2.2 ellipse

2.3 hyperbola

2.4 parabola

2.5 Conic curves and equations

Chapter III Derivative and Its Application

3. The concept of1derivative

3.2 Operation of Derivative Products

3.3 Application of Derivative in Function Research

3.4 the application of derivatives in real life

1-2

Chapter 65438 +0 Statistical Cases

1. 1 hypothesis test

1.2 independence test

1.3 linear regression analysis

1.4 cluster analysis

Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

2.2 Direct proof and indirect proof

2.3 Axiomatic Thought

Chapter 3 The expansion of number system and the introduction of complex numbers.

3. Extension of1number system

3.2 Four operations of complex numbers

3.3 Geometric Meaning of Complex Numbers

Chapter 4 Block Diagram

4. 1 Flowchart

5.2 Structure diagram

Elective series 2

2- 1

Chapter 65438 +0 Common Logical Terms

1. 1 proposition and its relationship

1.2 Simple logical connectives

1.3 Full name quantifier and existential quantifier

Chapter II Conic Curve and Equation

2. 1 conic curve

2.2 ellipse

2.3 hyperbola

2.4 parabola

2.5 Unified definition of conic section

2.6 curves and equations

Chapter 3 Space Vector and Solid Geometry

3. 1 space vector and its operation

3.2 Application of Space Vector

2-2

Chapter 65438 +0 derivative and its application

The concept of 1. 1 derivative

Operation of 1.2 derivative

Application of 1.3 derivative in function research

The application of 1.4 derivative in real life

1.5 definite integral

Chapter II Reasoning and Proof

2. 1 Rational reasoning and deductive reasoning

2.2 Direct proof and indirect proof

2.3 Mathematical induction

2.4 Axiomatic Thought

Chapter 3 The expansion of number system and the introduction of complex numbers.

6. 1 expansion of digital system

3.2 Four operations of complex numbers

3.3 Geometric Meaning of Complex Numbers

2-3

Chapter 65438 +0 counting principle

Two basic principles: 1. 1

1.2 arrangement

1.3 combination

1.4 counting application problems

1.5 binomial theorem

Chapter II Probability

2. 1 random variable and its probability distribution

2.2 Hypergeometric distribution

2.3 Independence

2.4 binomial distribution

2.5 mean and variance of discrete random variables

2.6 Normal distribution

Chapter III Statistical Cases

3. 1 hypothesis testing

3.2 independence test

3.3 Linear regression analysis

4.4 Cluster analysis