1. Functions and equations: including the concept, properties, images and operations of functions, as well as the solutions and applications of quadratic equations, inequalities and absolute value equations.
2. Sequence and mathematical induction: including arithmetic progression, geometric progression, the nature and summation formula of recursive sequence, and the principle and application of mathematical induction.
3. Geometric figures and space geometry: including the properties and calculations of various figures such as triangles, quadrangles and circles in plane geometry, and the properties and calculations of straight lines, planes and solid figures in space geometry.
4. Trigonometric function and trigonometric identity transformation: including the definition, properties, images and operations of trigonometric function, as well as the principle and application of trigonometric identity transformation.
5. Probability statistics: including the basic concepts, calculation methods and applications of probability, as well as data collection, collation, analysis and interpretation in statistics.
6. Derivative and differential: including the definition, properties, calculation and application of derivative, as well as the concept and calculation of differential.
7. Integration and application: including the definition, properties, calculation and application of indefinite integral and definite integral, and the application of integral in physics, economy and other fields.
8. Analytic geometry: including equations of coordinate system, vector, straight line and curve, calculation and application of distance and angle in analytic geometry.
The above are some key knowledge of high school mathematics, and mastering these knowledge is very important for the study and application of high school mathematics.