The first chapter is the concept of set and function.
1. 1 set
1.2 function and its representation
Basic properties of 1.3 function
Chapter II Basic Elementary Functions (1)
2. 1 exponential function
2.2 Logarithmic function
2.3 power function
Chapter III Functional Application
3. 1 functions and equations
3.2 Functional model and its application
compulsory 2
Chapter I Space Geometry
1. 1 spatial geometry
1.2 Three Views and Straight Views of Space Geometry
1.3 surface area and volume of space geometry
Chapter II Positional Relations of Points, Lines and Surfaces
2. 1 The positional relationship among points, lines and surfaces in space
2.2 Determination of parallelism between straight line and plane and its properties
2.3 Determination and characteristics of vertical lines and planes
Chapter III Linear Sum Equation
3. 1 Angle and slope of straight line
3.2 linear equation
3.3 Formula for coordinates and distance of intersection points of straight lines
The fourth chapter circle sum equation
4. Equation of1circle
4.2 The positional relationship between straight line and circle
4.3 Spatial Cartesian Coordinate System
Compulsory 3
The first chapter is the preliminary algorithm.
1. 1 algorithm and program block diagram
1.2 basic algorithm statement
1.3 algorithm case
Chapter II Statistics
2. 1 random sampling
2.2 Using samples to estimate the population
2.3 Correlation between variables
Chapter III Probability
3. 1 Probability of random events
3.2 Classical probability
3.3 Geometric probability
Required 4
The first chapter trigonometric function
1. 1 arbitrary angle and arc system
1.2 trigonometric function at any angle
The inductive formula of 1.3 trigonometric function
Images and properties of 1.4 trigonometric function
1.5 function y; The Image of Asin (0Z+ Jealousy)
Simple application of 1.6 trigonometric function model
Chapter II Plane Vector
2. The actual background and basic concepts of1plane vector
2.2 Linear Operation of Plane Vector
2.3 Basic Theorem and Coordinate Representation of Plane Vector
2.4 product of plane vectors
2.5 Application example of plane vector
Chapter III Triangular Identity Transformation
3. 1 sine, cosine and tangent sum difference formula
3.2 Simple trigonometric identity transformation
Elective course 5
Chapter 1 Solving Triangle
1. 1 sine theorem and cosine theorem
Application example of 1.2
Chapter II Sequence of Numbers
2. The concept and simple representation of1sequence
2.2 arithmetic progression
2.3 the sum of the top n items in arithmetic progression
2.4 geometric series
2.5 the first n sums of geometric series
2.6 sequence synthesis
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 test
Elective course 2- 1
Chapter 1 Common Logical Terms
1. 1 proposition and its relationship
The necessary and sufficient condition of 1.2
1.3 Simple logical connectives
1.4 Full name quantifier and existential quantifier
Chapter II Conic Curve and Equation
2. 1 ellipse
2.2 hyperbola
2.3 parabola
2.4 The positional relationship between straight line and conic curve
2.5 curves and equations
2.6 Synthesis of Conic Curve
Chapter III Space Vector and Solid Geometry
3. 1 space vector and its operation
3.2 vector method in solid geometry
Elective course 2-2
Chapter 1 Derivative and Its Application
1. 1 rate of change and derivative
Calculation of 1.2 derivative
Application of 1.3 derivative in function research
1.4 examples of optimization problems in life
The concept of 1.5 definite integral
1.6 Fundamental Theorem of Calculus
Simple application of 1.7 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
Chapter 3: The extension of number system and the introduction of complex numbers.
3. Generalization of1number system and the concept of complex number
3.2 Four operations in complex algebraic form
Elective 2-3
The first chapter is the counting principle
1. 1 classification addition counting principle and step multiplication counting principle
1.2 line
1.3 combination
1.4 binomial theorem
Chapter II Random Variables and Their Distribution
2. 1 Discrete Random Variable and its Distribution Table
2.2 project allocation and its application
2.3 mean and variance of discrete random variables
2.4 State distribution
Chapter III Statistical Cases
3. The basic idea of1regression analysis and its preliminary application
3.2 the basic idea of independence test and its preliminary application
Chapter IV Block Diagram
4. 1 Flowchart
4.2 Structure Diagram
Elective course 4- 1 geometric proof.
Judgement of 1 similar triangles and its related properties
2 The positional relationship between a straight line and a circle
3 Discussion on the Properties of Conic Curve
Elective 4-2 Matrix and Transformation
1 linear transformation and second-order matrix
Synthesis of 2 Transformation and Multiplication of Second-order Matrix
3 inverse transformation and inverse matrix
Invariant of Transformation 4 and Eigenvector of Matrix
Elective 4-4 coordinate system and parameter equation
1 coordinate system
Two-parameter equation
Elective 4-5 inequality selection
1 inequality and absolute inequality
2 Basic methods to prove inequalities
3 Cauchy inequality and rank inequality
Important mathematical thinking methods
Thoughts on 1 function equation
2 Number-shape combination thought
3 classification discussion ideas
4 Transformation and transformation ideas
5 holistic thinking
6 Mathematical modeling ideas
Basic methods of mathematics
Basic methods of mathematics
Common Solutions to Three Problems in Mathematics
1 frequently asked questions
Two common solutions to fill in the blanks
3 Common methods to solve problems
Senior high school mathematics ability
1 operation solving ability
2 data processing ability
3 space imagination
4 abstract generalization ability and reasoning ability
5 sense of application and innovation
appendix