Chapter 1: Sets and Simple Logic
Lecture 1: Collective Topics
Lecture 2: Simple Logic
Chapter 2: Functions
Lecture 1: Functions and their representations
Lecture 2: Function Domain, Value Domain, and Corresponding Laws
Lecture 3: The Nature of Functions
Lecture 4: Comprehensive Application of Functional Properties (Selected Topics)
Lecture 5: Exponents and Exponential Functions
Lecture 6: Logarithm and Logarithmic Functions
Lecture 7: Power Functions and Ratio Sizes
Lecture 8: Function Image Problems
Lecture 9: Functions and Equations and Quadratic Functions Zero Point Problem
Lecture 10: The Problem of Zero Points of Functions (Peiyou)
Lecture 11: The Nature of the Zero Point of a Function (Peiyou)
Chapter 3: Derivative Topics
Lecture 1: The Concept and Application of Derivatives
Lecture 2: The Tangent Problem of Derivatives
Lecture 3: Extreme Values of Functions
Lecture 4: The maximum value of the function
Lecture 5: Monotonic intervals of functions
Lecture 6: Monotonic intervals with parametric functions
Lecture 7: Constructors in derivative operations solve abstract function problems
Lecture 8: The Problem of Permanence - The Combination of Numbers and Forms
Lecture 9: The Problem of Permanence Establishment - The Method of Variation Separation
Lecture 10: The Constant Establishment Problem - The Method of Maximal Analysis
Lecture 11: Endpoint Value Verification
Lecture 12: Falsehood and Substitution of Hidden Zero Points
Lecture 13: Derivative Proof Inequality Constructor Method Category
Lecture 14: Extreme Point Offset and Inflection Point Offset
Lecture 15: Definite Integrals (Science)
Chapter 4: Trigonometric Functions
Lecture 1: Radian system and trigonometric functions of arbitrary angles
Lecture 2: Homogonometric Trigonometric Relations and Induction Formulas
Lecture 3: Trigonometric Identity Transformation
Lecture 4: Trigonometric Functions and Function Properties
Lecture 5: The range and maximum value of the trigonometric function
Lecture 6: Application of Image Transformations in Trigonometric Functions
Lecture 7: Functional Analytic Solving
Chapter 5: Solving Triangles
Lecture 1: Combing through the elements of solving triangles
Lecture 2: Comprehensive Application of the Sine and Cosine Theorem
Lecture 3: Solving the Problem of Non-Problems in Triangles (Peiyou)
Lecture 4: Summary of the solution of the real questions of the college entrance examination
Chapter 6: Plane Vectors
Lecture 1: The Concept of Plane Vectors and Their Linear Operations
Lecture 2 Basic Theorems and Coordinate Representations of Plane Vectors
Lecture 3 The quantitative product of the plane vector
Lecture 4: Quantitative Product of Vectors — Finding the Right Substrate
Lecture 5: Quantitative Product of Vectors - Coordinate Method
Lecture 6: The Four Centers of a Triangle of Plane Vectors
Lecture 7: Plane Vector Supplementation (Peiyou)
Chapter 7: Sequences
Lecture 1: Properties of Equal Difference Series
Lecture 2 Properties of Equal Ratio Sequences
Lecture 3: The Synthesis Problem of Equal Difference Ratio Sequences
Lecture 4: Proof of the Equal Ratio Series of Equal Differences
Lecture 5: The Formula for the General Term of a Sequence of Numbers
Lecture 6: The Sum of Sequences
Lecture 7: Inequality Relations in Sequences (Peiyou)
Chapter 8: Inequalities
Lecture 1: Inequalities and Inequalities
Lecture 2: Solutions to traditional inequalities
Lecture 3: Unary quadratic inequalities and their solutions
Lecture 4: Linear Programming - Graphing and Solving
Lecture 5: Application of mean inequalities
Chapter 9: Three-Dimensional Geometry
Lecture 1: Common Geometry Three-View Problem
Lecture 2: Determination of the position relationship between points, lines and surfaces
Lecture 3: Similarity of Parallel Proofs (Median Line)
Lecture 4: Parallelograms for Parallel Proofs
Lecture 5: The third vertical vertical line of the line
Lecture 6: The line surface is vertical
Lecture 7: The face is vertical
Lecture 8: The line is vertical and the line is vertical
Lecture 9: The Problem of External and Internal Tangents of Common Geometries
Lecture 10: Synthesis of Major Topics (1)
Lecture 11: Synthesis of Major Topics (II)
Chapter 9: Lines and Circles
Lecture 1: Equations and Properties of Straight Lines
Lecture 2: The relationship between the position of the line and the circle
Chapter 10: Conic Curves
Lecture 1: Elliptic Equations and Their Properties
Lecture 2: Hyperbolic Equations and Property Problems
Lecture 3: Parabolic Equations and Their Properties
Lecture 4: Conic Curve Synthesis Question
Lecture 5: The Problem of Trajectory Equations
Lecture 6: The Problem of Presence in Conic Curves
Lecture 7: Fixed-point straight-line problem
Lecture 8 The Valuation Problem in Conic Curves
Lecture 9 Using the coordinates of points to deal with analytical geometry problems
Chapter 11: Probability and Statistics
Lecture 1: Preliminary Statistics
Lecture 2: Estimating the population from a sample
Lecture 3: Interrelationships between Variables
Lecture 4: Relationships of Events and Probabilistic Operations
Lecture 5: Classical Generalization
Lecture 6: Geometry Overview
Classification of General Topics (Overlapping Arts and Sciences)
Chapter 12: Preliminary Algorithms
Chapter 13: Reasoning and Proof
Lecture 1: Reasonable Reasoning and Deductive Reasoning
Lecture 2: Direct Proof and Indirect Proof
Lecture 3: Mathematical Induction
Chapter 14: Plurals
First, the basic knowledge:
2. Typical example questions
Three: After-class exercises:
Chapter 15: Polar Coordinates and Parametric Equations
Lecture 1: The basic meaning of polar coordinates and the transformation of Cartesian coordinates
Lecture 2: The Meaning and Application of polar diameters of polar coordinates
Lecture 3: Elimination and Application of Parametric Equations
Lecture 4: Ellipse of Parametric Equations
Lecture 5: Straight Lines of Parametric Equations
Lecture 6: Circles of Parametric Equations
Lecture 7: Moving Point + Maximum Value Problem
Lecture 8: Application of the linear parameter equation t
Lecture 9: Midpoint, Intersection Type
Lecture 10: Synthesis of Polar Coordinates and Parametric Equations (I)
Chapter 16: Permutations, Distributions, and Binomial Theorems (for Science)
Lecture 1: Permutations and combinations
Lecture 2: The Binomial Theorem
Lecture 3: Distribution Columns and Synthesis
Lecture 4: Random Variable Problems with Conditional Probabilities
Lecture 5: Competitions and Barrier Problems
Lecture 6: The Problem of Picking the Ball
