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What are the knowledge points of liberal arts mathematics in the middle school attached to Beijing Normal University? Please write down the textbook catalogue.
Compulsory course of Beijing Normal University

Mathematics 1 (compulsory)

Book catalogue:

Chapter I Collection

The Meaning and Representation of 1 Set

2. Basic relations of sets

Basic operation of 3 sets

Reading materials Cantor and set theory

Chapter II Functions

1 Variables in life

2 Further understanding of the function

Monotonicity of 3 functions

Re-study on the Properties of Quadratic Function

5 Simple power function

Development of Functional Concepts of Reading Materials

Personal income tax calculation of project learning

Chapter III Exponential Function and Logarithmic Function

1 positive integer exponential function

2 Extension of the concept of exponent

3 exponential function

4 logarithm

5 logarithmic function

6 Comparison of exponential function, power function and logarithmic function growth

Three Great Inventions of Mathematical Calculation in the History of Reading Materials

Chapter IV Functional Application

1 functions and equations

2 Functional modeling of practical problems

The Function of Reading Materials and Middle School Mathematics

Explore the price problem of different models of the same commodity.

compulsory 2

Book catalogue:

The first chapter is a preliminary study of solid geometry.

1 simple geometry

2 three views

3 direct vision

4 Basic relations and axioms of spatial graphics

5 Parallel relation

6 vertical relation

7 area and volume of simple geometry

Simple application of 8 area formula and volume formula

The reading material bee is right.

This topic studies the shape of the cube section.

The second chapter is a preliminary analysis of geometry.

1 equation of straight line and straight line

2 the equation between circles

3 space rectangular coordinate system

Descartes and Analytic Geometry as Reading Materials

Explore the packaging problem of activity 1

Survey activity 2 Follow-up questions

Compulsory 3

philology

Chapter I Statistics

1 Statistical activity: random selection of numbers

2 From census to sampling

3 sampling method

4 statistical chart

5 Digital characteristics of data

6 estimate the population with samples

7 Statistical Activities: Changes in Marriage Age

8 correlation

9 least square method

A brief history of reading materials statistics

Project learning investigates the trend of pop songs.

The second chapter is the preliminary algorithm.

The basic idea of 1

The basic structure and design of 2 algorithm

3 sequencing problem

4 A few basic sentences

This course studies the algorithm to determine the n-bisector of a line segment.

Chapter III Probability

1 Probability of random events

2 Classical probability

3 simulation method-the application of probability

Query activities estimate the value of pi ∏ by simulation.

Compulsory 4 Book Catalogue:

The first chapter trigonometric function

1 periodic phenomena and periodic functions

Generalization of the concept of angle 2

3 curvature system

4 sine function

5 cosine function

6 tangent function

Image of 7 function

Basic relations of 8 equiangular trigonometric functions

Reading materials, math and music

This topic studies the images explored by using modern information technology.

Chapter II Plane Vector

1 From displacement, velocity, force to vector

2 From displacement synthesis to vector addition

3 Vector from multiple of speed to multiple of number.

4 coordinates of plane vector

The product of the work done by the force to the vector

Coordinate representation of the scalar product of 6 plane vectors

Seven examples of vector application

Reading Material Vector and Middle School Mathematics

Chapter III Equivariant Deformation of Triangle

1 trigonometric function of sum and difference of two angles

Sine, cosine and tangent of 2 times angle

3 half-angle trigonometric function

Sum-difference product and difference product of trigonometric functions

Simple application of trigonometric function

This topic studies the mathematical problems in ferris wheel.

Mathematical problems in flag-raising activities

Elective course 5

There are three chapters in the book: sequence, trigonometric solution and inequality.

The contents of this book are as follows:

The first chapter sequence

1 series

The concept of 1. 1 sequence

Functional characteristics of 1.2 sequence

2 arithmetic progression

2. 1 arithmetic progression

2.2 arithmetic progression's top n sums

3 geometric series

3. 1 geometric series

3.2 the first n sums of geometric series

4 the application of book thunder in daily economic life

Recommendations in this chapter

Review question one

Project learning and education savings

Chapter II Solving Triangle

1 sine theorem and cosine theorem

1. 1 sine theorem

1.2 cosine theorem

2 Geometric calculation in triangle

Practical application example of triangular solution

This chapter summarizes these suggestions.

Review question 2

Chapter III Inequality

1 inequality relation

1. 1 inequality relation

1.2 comparison size

2 unary quadratic inequality

2. Solution of1unary quadratic inequality

2.2 the application of one-dimensional quadratic inequality

3 Basic inequality

3. 1 basic inequality

3.2 Basic Inequalities and Maximum (Minimum) Values

4 Simple linear programming

4. 1 Binary Linear Inequality (Group) and Plane Region

4.2 Simple linear programming

4.3 Application of Simple Linear Programming

Reading materials, human potential

This chapter summarizes these suggestions.

Review question three