Required 1 Chapter 1 Concepts of Set and Function
The meaning, representation and basic relationship of 1. 1 set.
Basic operation of 1.2 set
1.3 function and its representation
Monotonicity of 1.4 function
Parity and periodicity of 1.5 function
The second board
Required 1 Chapter II Basic Elementary Functions (1)
2. 1 exponential function
2.2 Logarithmic function
2.3 power function
2.4 Functional image
2.5 Range and Maximum Value of Function
Required 1 Chapter III Application of Functions
3. 1 functions and equations
3.2 Functional model and its application
Third board
Elective 2-2 Chapter 1 Derivative and Its Application
1. 1 rate of change and derivative, derivative calculation
The application of 1.2 derivative in function research, and examples of optimization problems in life.
The concept of 1.3 definite integral and the basic theorem of calculus
Simple application of 1.4 definite integral
The fourth plate
Compulsory 2 Chapter 1 Space Geometry
1. 1 spatial geometry
1.2 Three Views and Direct View of Space Geometry
1.3 surface area and volume of space geometry
Compulsory 2 Chapter II Position Relationship of Points, Lines and Surfaces
2. 1 The positional relationship of points, lines and surfaces in space
2.2 Determination and properties of parallel lines and planes
2.3 Determination and characteristics of vertical lines and planes
The fifth plate
Elective course 2- 1 Chapter III Space Vector and Solid Geometry
3. 1 space vector and its operation
3.2 Coordinate operation of space vector
3.3 vector method in solid geometry
The sixth plate
Compulsory 2 Chapter 3 Lines and Equations
3. 1 Angle and slope of straight self
3.2 linear equation
3.3 Formula for coordinates and distance of intersection points of straight lines
Compulsory 2 Chapter 4 Circle Sum Equation
4. Equation of1circle
4.2 The positional relationship between straight line and circle
4.3 Spatial Cartesian Coordinate System
The seventh plate
Elective course 2- 1 Chapter II Conic Curve and Equation
2. 1 curves and equations
2.2 ellipse
2.3 hyperbola
2.4 parabola
2.5 The positional relationship between straight line and conic curve
The eighth plate
Compulsory 3 Chapter 1 Preliminary Algorithm
1. 1 algorithm and program block diagram
1.2 basic algorithm statement
1.3 algorithm case
The ninth plate
Compulsory 3 Chapter 2 Statistics
2. 1 random sampling
2.2 Using samples to estimate the population
2.3 Correlation between variables
Elective 2-3 Chapter III Statistical Cases
The tenth plate
Compulsory 4 Chapter 1 Trigonometric Function
1. 1 trigonometric function with arbitrary angle and arc system with arbitrary angle
The inductive formula of 1.2 trigonometric function
1.3 Properties of images and trigonometric functions
The image of 1.4 function y=Asin and the simple application of trigonometric function model
Compulsory 4 Chapter 3 Trigonometric Identity Transformation
3. 1 sine, cosine and tangent sum difference formula
3.2 Simple trigonometric identity transformation
The eleventh set
Compulsory 4 Chapter 2 Plane Vector
2. The actual background and basic concepts of1plane vector, and the linear operation of plane vector.
2.2 Basic Theorem and Coordinate Representation of Plane Vector
2.3 product of plane vector and its application examples
Compulsory 5 Chapter 1 Solving Triangle
1. 1 sine theorem and cosine theorem
1.2 application example
The twelfth plate
Compulsory 5 Chapter 2 Series
2. The concept and simple representation of1sequence
2.2 arithmetic progression, arithmetic progression's former "and".
2.3 geometric series, the first "sum" of geometric series.
Sum of 2.4 series
Comprehensive application of 2.5 series
The thirteenth plate
Compulsory 5 Chapter III Inequality
3. 1 inequality relation and inequality
3.2 One-variable quadratic inequality and its solution
3.3 Binary Linear Inequalities (Groups) and Simple Linear Programming Problems
3.4 Basic inequality
The fourteenth set
Elective course 2- 1 common logical terms in the first chapter
1. 1 proposition and its relationship, necessary and sufficient conditions
1.2 Simple logical connectives, full-name quantifiers and existential quantifiers
Elective 2-2 Chapter 2 Reasoning and Proof
2. 1 Rational reasoning and deductive reasoning
2.2 Direct proof, indirect proof and mathematical induction
The fifteenth plate
Elective 2-2 Chapter 3 Expansion of Number System and Introduction of Complex Numbers
The sixteenth set
Elective 2-3 Chapter 1 Counting Principles
1. 1 classification addition counting principle and step multiplication counting principle
1.2 permutation and combination
1.3 binomial theorem
Compulsory 3 Chapter 3 Probability
3. 1 Probability of random events
3.2 Classical probability
3.3 Geometric probability
Elective 2-3 Chapter 2 Random Variables and Their Distribution
2. 1 Discrete random variables and their distribution list
2.2 binomial distribution and its application
2.3 mean and variance of discrete random variables
2.4 Normal distribution