1. Functions and equations: including the concept, properties, images and transformations of functions, as well as quadratic equations and inequalities. These knowledge points are the foundation of high school mathematics, which runs through the whole process of high school mathematics learning.
2. Sequence and mathematical induction: Sequence is an important concept in high school mathematics, involving arithmetic progression, geometric progression, recursive sequence, etc. Mathematical induction is a proof method, which is often used to prove propositions related to natural numbers.
3. Trigonometric functions: including the properties, images and applications of trigonometric functions such as sine, cosine and tangent, as well as trigonometric identities and solving triangles.
4. Plane vector: vector is an important concept in high school mathematics, involving vector operation, product of quantity, cross product and so on.
5. Analytic geometry: including the properties, relationships and calculations of geometric figures such as points, lines and circles, as well as coordinate systems and distance formulas.
6. Solid geometry: including the calculation of the properties, volume and surface area of space geometry (such as cuboid, cylinder and cone). ), and space vectors, etc.
7. Probability statistics: including the basic concept, nature and calculation of probability, as well as statistics (such as mean, variance, etc. ) and sampling survey.
8. Calculus: Although the high school stage mainly involves the preliminary concepts and calculations of differential and integral, it is the foundation of college mathematics, so it also occupies a certain proportion in high school mathematics.
9. Linear algebra: including basic concepts and calculations such as matrix, determinant and linear equations, as well as vector space and linear transformation.
10. Discrete mathematics: including the basic concepts and calculations of discrete structures such as set theory, logic and graph theory.