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High School Course Training Course Video Lecture Introduction:
High school mathematics compulsory courses 1, 2, 3, 4 and 5 complete video set, high school mathematics elective complete video set directory:
High School Mathematics Compulsory Course 1 Lecture 1 Concept and Operation of Sets Lecture 2 Operation of Subintersection and Join-Complement Lecture 3 Quadratic Inequality, Absolute Value Inequality Lecture 4 Concept of Function Lecture 5 Analytical Expression of Function Lecture 6 Representation of Function Lecture 7 Monotonicity of Function Lecture 8 Parity of Function Lecture 9 Comprehensive Application of Function Lecture 10 Convexity and Concavity of Function and Summary of Function Lecture 11 Operation of Exponential Power, Exponential Function Lecture 12 Logarithmic Operation, Logarithmic Function Lecture 13 Power Function and Application of Function High School Mathematics Compulsory Course 1 Lecture 1 Set Lecture 2 Function Lecture 3 Simple Power Function Lecture 4 Exponent and Exponential Function
High School Mathematics Compulsory Course II Lecture 1 Basic Concepts of Straight Lines Lecture 2 Expressions of Five Line Equations Lecture 3 Formulas for the Distance from a Point to a Line Lecture 4 Distance from a Point to a Line Lecture 5 Equations of Circles Lecture 6 Positional Relationships between Circles and Lines Lecture 7 Rectangular Coordinate System and Applications in Space Lecture 8 Exercises on the Positional Relationships between Lines and Circles Lecture 9 Exercises on the Equations of Circles Lecture 10 Geometry in Space Lecture 11 Intuitive Diagrams and Three Views Lecture 12 Parallel Relationships in Space Lecture 13 Perpendicular Relationships in Space Lecture 14 Surface Area and Volume of Common Geometric Bodies Lecture 15 Comprehensive Solid Geometry Lecture 16 Analytical Comprehensive High School Mathematics Compulsory Course 3 Lecture 1 Concept of Algorithms and Flowcharts Lecture 2 Exercises on Algorithms and Flowcharts Lecture 3 Programming Lecture 4 Random Sampling Lecture 5 Estimating the Total by Using Samples Lecture 6 Correlation between Variables Lecture 7 Probability of Random Events Lecture 8 Classical Probability Model Lecture 9 Geometric Probability Model High School Mathematics Compulsory Course 4 Lecture 1 Arbitrary Angles and Radian System Lecture 2 Trigonometric Functions of Arbitrary Angles Lecture 3 Induced Formulas Lecture 4 Graphs and Properties of Trigonometric Functions Lecture 5 Translation and Transformation of Function Graphs Lecture 6 Sum and Difference Formulas of Sine and Cosine Lecture 7 Tangent Formulas of Difference and Sum of Two Angles and Trigonometric Identity Transformation Lecture 8 Comprehensive Trigonometric Functions Lecture 9 Vector Concepts and Linear Operations Lecture 10 Basic Theorems and Coordinate Representation of Plane Vectors Lecture 11 Plane High School Mathematics Compulsory Course 4 Lectures
01 Lecture 1 Logarithms and Logarithmic Functions
02 Lecture 2 Trigonometric Functions High School Mathematics Compulsory Course 5
01 Lecture 1 The Law of Sines
02 Lecture 2: Law of Cosines
03 Lecture 3 Application of the Sine and Cosine Theorem
04 Lecture 4 Sequences and their general formula
05 Lecture 5 Arithmetic Sequence
06 Lecture 6 Sum of the first n terms of an arithmetic sequence
07 Lecture 7 Geometric Sequence
08 Lecture 8 The sum of the first n terms of a geometric sequence
09 Lecture 9 Lecture 9 The sum of the general term of a sequence
10 Lecture 10: Summation of Sequences
11 Lecture 11 Inequality and Unequal Relations
12 Lecture 12 Mean Inequality
13 Lecture 13 Review A
14 Lecture 14 Review B
15 Lecture 15 Summary and Extension of High School Mathematics Compulsory Course 5
01 Lesson 1: Triangular number inequality High School Mathematics Elective 2-1
01 Lecture 1: Propositions and their relationships
02 Lecture 2 Quantifiers
03 Lecture 3 Logical Connectors
04 Lecture 4: Sufficient conditions, necessary conditions, necessary and sufficient conditions
05 Lecture 5 Four Types of Propositions
06 Lecture 6 Curves and Equations
07 Lecture 7 Ellipse and its standard equation
08 Lecture 8 Geometric Properties of Ellipses
09 Lecture 9 The Positional Relationship between an Ellipse and a Straight Line
10 Lecture 10 Hyperbola
11 Lecture 11 Hyperbolic Geometric Properties
12 Lecture 12 The Positional Relationship between Straight Lines and Hyperbolas
13 Lecture 13 Parabola and its standard equation
14 Lecture 14 Geometric Properties of Parabolas
15 Lecture 15 The Positional Relationship between Straight Lines and Parabolas
16 Conclusion at the end of Lecture 16
17 Lecture 17 Space Vectors and Their Linear Operations
18 Lecture 18: Scalar Product Operation of Space Vectors
19 Lecture 19 Orthogonal Decomposition of Space Vectors and Their Coordinate Representation
20 Lecture 20 Direction vector of a line and normal vector of a plane
21 Lecture 21 Application of Vector Method in Parallel Relationship in Space
22 Lecture 22 Application of Vector Method in Spatial Perpendicular Relationship
23 Lecture 23 Using vector knowledge to find distance
24 Lecture 24 Using vector methods to find angles in space
25 Lecture 25 Using vector methods to find angles in space
26 Chapter 26 Space Vectors and Solid Geometry Chapter Summary (Part 1)
27 Chapter 27 Space Vectors and Solid Geometry Chapter Summary (Part 2)
28 Lecture 28 Review Questions High School Mathematics Elective 2-1 Lecture Series
01 Lecture 1 Derivative and Average Rate of Change
02 Lecture 2 Application of Derivatives (1)
03 Lecture 3: Exercises on derivatives
04 Lecture 4: Operations of Derivatives
05 Lecture 5 Application of Derivatives
06 Lecture 6 Exercises
07 Lecture 7 Derivatives and Extreme Values of Functions
08 Lecture 8 Derivatives and Function Monotonicity, Extreme Values and Other Issues
09 Lecture 9: Maximum Value Problems and Derivative Exercises
10 Lecture 10: Derivative Application Exercises
11 Lecture 11 Derivative Operation Exercises
12 Lecture 12: Derivatives Comprehensive Exercises
13 Lecture 13: Monotonicity of Functions and Derivatives Exercises
14 Lecture 14: Application of extreme values and maximum values of derivatives (Part 1)
15 Lecture 15: Application of extreme values and maximum values of derivatives (Part 2)
16 Lecture 16: Extension of the Number System and Complex Numbers
17 Lecture 17 The Geometric Meaning of Complex Numbers
18 Lecture 18 Addition and subtraction of complex numbers
19 Chapter 19 Multiplication and Division Rules of Complex Numbers
20 Lecture 20: Review of Complex Numbers
21 Chapter 21: Reasonable Reasoning
22 Lecture 22 Deductive Reasoning
23 Lecture 23 Direct Proof Synthesis and Analysis
24 Lecture 24 Direct Proof Exercises
25 Lecture 25 Direct Proof and Indirect Proof by Reductio ad absurdum
26 Lecture 26 Mathematical Induction
27 Lecture 27 Reasoning and Proof Synthesis
28 Lecture 28 The concept of definite integral
29 Lecture 29 Basic Theorem of Definite Integral
30 Lecture 30 Simple Application of Definite Integral High School Mathematics Elective 2-2
01 Lecture 1 Derivative and Average Rate of Change
02 Lecture 2 Application of Derivatives (1)
03 Lecture 3: Exercises on derivatives
04 Lecture 4: Operations of Derivatives
05 Lecture 5 Application of Derivatives
06 Lecture 6 Exercises
07 Lecture 7 Derivatives and extreme values of functions
08 Lecture 8 Derivatives and Function Monotonicity, Extreme Values and Other Issues
09 Lecture 9: Maximum Value Problems and Derivative Exercises
10 Lecture 10: Derivative Application Exercises
11 Lecture 11 Derivative Operation Exercises
12 Lecture 12: Derivatives Comprehensive Exercises
13 Lecture 13: Monotonicity of Functions and Derivatives Exercises
14 Lecture 14: Application of extreme values and maximum values of derivatives (Part 1)
15 Lecture 15: Application of extreme values and maximum values of derivatives (Part 2)
16 Lecture 16: Extension of the Number System and Complex Numbers
17 Lecture 17 The Geometric Meaning of Complex Numbers
18 Lecture 18 Addition and subtraction of complex numbers
19 Chapter 19 Multiplication and Division Rules of Complex Numbers
20 Lecture 20: Review of Complex Numbers
21 Chapter 21: Reasonable Reasoning
22 Lecture 22 Deductive Reasoning
23 Lecture 23 Direct Proof Synthesis and Analysis
24 Lecture 24 Direct Proof Exercises
25 Lecture 25 Direct Proof and Indirect Proof by Reductio ad absurdum
26 Lecture 26 Mathematical Induction
27 Lecture 27 Reasoning and Proof Synthesis
28 Lecture 28 The concept of definite integral
29 Lecture 29 Basic Theorem of Definite Integral
30 Lecture 30 Simple Application of Definite Integral High School Mathematics Elective 2-3
01 Lecture 1 The concept of counting principle
02 Lecture 2 Arrangement
03 Lecture 3 Combination
04 Lecture 4 Common methods of permutations and combinations (I)
05 Lecture 5 Common methods of permutations and combinations (Part 2)
06 Lecture 6 Common methods of permutations and combinations (Part 3)
07 Lecture 7 Permutations and Combinations Chapter Summary
08 Lecture 8: Binomial Theorem and Yang Hui Triangle
09 Lecture 9 Exercises
10 Lecture 10 Midterm Review Summary
11 Lecture 11 Distribution of Random Variables
12 Lecture 12 Conditional Probability and Binomial Distribution
13 Lecture 13 Numerical Characteristics of Random Variables
14 Lecture 14: Extending the Idea of Permutations and Combinations
15 Lecture 15 Comprehensive Exercises
16 Lecture 16 Module Review High School Mathematics Elective 4-1
01Lecture 1 Examination Syllabus Requirements.mp4
02 Lecture 2 Parallel Line Segment Proportional Theorem.mp4
03 Lecture 3: Determination and properties of similar triangles.mp4
04 Lecture 4 Projection Theorem of Right Triangle.mp4
05 Lecture 5: Theorem of Circumference Angle and Theorem of Center Angle.mp4
06 Lecture 6 Properties and judgment theorems of inscribed quadrilaterals in a circle.mp4
07 Lecture 7: Properties and judgment theorems of tangent lines of a circle.mp4
08 Lecture 8 Properties of chord tangent angles.mp4
09 Lecture 9 Proportional Line Segments Related to Circles.mp4
10 Lecture 10 Exercises.mp4 High School Mathematics Elective 4-4
01 Lecture 1 Plane rectangular coordinate system.mp4
02 Lecture 2 Polar Coordinate System.mp4
03 Lecture 3 Polar Coordinate Equations of Simple Curves.mp4
04 Lecture 4 Cylindrical Coordinate System and Spherical Coordinate System.mp4
05 Lecture 5 The concept of parametric equations.mp4
06 Lecture 6 Parametric equations of circles and their applications.mp4
07 Lecture 7 Parametric equations and applications of conic sections.mp4
08 Lecture 8 Parametric equations of straight lines and their applications.mp4
09 Lecture 9 Conversion between parametric equations and rectangular equations.mp4
10 Lecture 10: Involute and cycloid of a circle.mp4
11 Lecture 11 Exercises.mp4 High School Mathematics Elective 4-5
01 Lecture 1 Inequality
02 Lecture 2: Linear and quadratic inequalities and their solutions
03 Lecture 3 Basic Inequality and Average Inequality
04 Lecture 4 Absolute Value Triangular Inequality
05 Lesson 5: Solutions to Absolute Value Inequality
06 Lecture 6 Basic Methods of Proving Inequality (I)
07 Lecture 7 Basic Methods for Proving Inequality (Part 2)
08 Lecture 8 Basic Methods for Proving Inequality (Part 3)
09 Lecture 9 Cauchy Inequality and Sorting Inequality
10 Lecture 10 Mathematical Induction and Bernoulli Inequality | 
