Senior high school mathematics mainly studies the knowledge of sequence, function, geometry, probability, statistics, calculus, logical reasoning and so on. This knowledge is the basis for further study and understanding of mathematical science, and it is also an indispensable skill in practical application.
1, series: series is an important content in senior high school mathematics, which mainly involves the concept, classification, properties, expression methods and some special series, such as arithmetic progression and geometric progression. Students need to master the general formula, recursive formula and summation formula of sequence.
2. Function: Function is a core concept in high school mathematics, including concept, representation, properties, images and common elementary functions, such as power function, exponential function, logarithmic function and trigonometric function. Students need to master the analytical formula, definition domain, range, image, monotonicity and parity of functions.
3. Geometry: Geometry is another important content of high school mathematics, involving plane geometry, solid geometry and analytic geometry. Students need to master the properties of basic graphics, the solution of area and volume, and the application of vectors and coordinates in geometry.
4. Probability: Probability is an important branch of high school mathematics, which mainly involves the basic concept of probability, the independence and mutual exclusion of events, the distribution and numerical characteristics of random variables. Students need to master the principles of addition and multiplication of probability and the solution and application of distribution function and density function.
5. Statistics: Statistics is another important branch of high school mathematics, which mainly involves the collection, collation and analysis of data. Students need to master statistical methods such as calculation method of concentration trend and dispersion degree of data, probability distribution and interval estimation.
6. Calculus: Calculus is an advanced content of high school mathematics, which mainly includes the basic concepts and applications of limit, derivative and differential. Students need to master the algorithm of limit, the derivation and application of derivative, and the concept and calculation method of differential.
7. Logical reasoning: Logical reasoning is another important content in high school mathematics, which mainly involves the truth and falsehood of propositions, inference rules and logical conjunctions. Students need to master the concept and nature of logical connectives, the judgment of truth and falsehood of propositions and the rules of reasoning.
In addition to the above, there are many practical problems related to real life in high school mathematics, such as distance, interest, arrangement and combination. These topics are designed to help students apply what they have learned to real life and improve their mathematics application ability.
In a word, high school mathematics is the foundation of mathematical science, involving a wide range of knowledge, which is of great significance to students' further study and practical application. By studying high school mathematics, students can master the basic concepts, methods and skills of mathematics and improve their mathematical literacy and problem-solving ability.