1. Functions and equations: The functions and equations in high school mathematics are the basis of the whole mathematics discipline, and the knowledge points involved include the concept, nature, image, extreme value and maximum value of functions; The solution of the equation, the nature of the root, the relationship between the root and the coefficient, etc. These knowledge points occupy an important position in senior high school mathematics, which needs students' in-depth understanding and mastery.
2. Number sequence and mathematical induction: Number sequence is an important concept in high school mathematics, involving arithmetic progression, geometric progression, recursive number sequence and other different types of numbers and their properties. Mathematical induction is a proof method, which requires students to skillfully use mathematical induction to solve some problems related to sequence.
3. Trigonometric function: Trigonometric function is an important content in high school mathematics, involving the definition, properties, images, periodicity and so on of trigonometric functions such as sine, cosine and tangent. In addition, students need to master trigonometric identity transformations such as sum angle formula, double angle formula and half angle formula, as well as methods to solve triangles.
4. Analytic geometry: Analytic geometry is an important branch of high school mathematics, involving the properties and relationships of basic graphics such as points, lines and circles, as well as vector operation, distance formula and included angle formula in coordinate system. Students need to master the basic concepts and methods of analytic geometry and be able to use analytic geometry to solve practical problems.
5. Solid geometry: Solid geometry is another important branch of high school mathematics, involving the properties and relationships of space geometry (such as cuboids, cylinders, cones, etc.). ), as well as the operation of space vector and the formula of space distance. Students need to have a strong spatial imagination and be able to use solid geometry to solve practical problems.
6. Probability statistics: Probability statistics is an important content in high school mathematics, involving basic concepts such as probability calculation, conditional probability, independence of random events, and statistical methods such as data collection, collation and analysis. Students need to have certain logical thinking ability and data analysis ability, and can use probability statistics to solve practical problems.