Summary of Mathematics Knowledge Points in Senior Two: Set and Simple Logic
1. setting; 2. subset; 3. supplement; 4. Intersection; 5. Trade unions; 6. Logical connector; 7. Four propositions; 8. Necessary and sufficient conditions.
Second, function
1. mapping; 2. Function; 3. Monotonicity of the function; 4. Inverse function; 5. The relationship between function images of reciprocal function; 6. Extension of the concept of index; 7. Operation of rational exponential power; 8. Exponential function; 9. Logarithm; 10. Operational properties of logarithm; 1 1. logarithmic function. 12. Application example of function.
Third, the order
1. sequence; 2. arithmetic progression and its general formula; 3. arithmetic progression's first N terms and formulas; 4. Geometric series and its topping formula; 5. The first n terms and formulas of geometric series.
Fourth, trigonometric functions.
The generalization of the concept of 1. angle; 2. Curvature system; 3. Trigonometric function at any angle; 4. The trigonometric function line in the unit circle; 5. Basic relations of trigonometric functions with the same angle; 6. Inductive formulas of sine and cosine; 7. Sine, cosine and tangent of sum and difference of two angles; 8. Sine, cosine and tangent of double angles; 9. Images and properties of sine function and cosine function; 10. Periodic function; The parity of 1 1. function; 12. Image of the function; 13. Images and properties of tangent function; 14. Find the angle with the known trigonometric function value; 15. Sine theorem; 16. Cosine theorem; 17. Examples of oblique triangle solution.
Five, plane vector
1. vector; 2. Addition and subtraction of vectors; 3. Product of real number and vector; 4. Coordinate representation of plane vector; 5. The demarcation point of the line segment; 6. The product of plane vectors; 7. The distance between two points on the plane; 8. Translation.
Inequality of intransitive verbs
1. Inequality; 2. Basic properties of inequality; 3. Proof of inequality; 4. Solving inequality; 5. Inequalities with absolute values.
Seven, the equation of straight line and circle
1. Angle and slope of straight line; 2. Point-oblique and two-point linear equations; 3. General formula of linear equation; 4. Conditions for two straight lines to be parallel and vertical; 5. Angle of intersection of two straight lines; 6. Distance from point to straight line; 7. The plane area is expressed by binary linear inequality; 8. Simple linear programming problem; 9. Concepts of curves and equations; 10. The curve equation is listed by known conditions; The standard equation and general equation of 1 1. circle; Parametric equation of a circle.
Eight, conic curve
1. ellipse and its standard equation; 2. Simple geometric properties of ellipse; 3. Parametric equation of ellipse; 4. Hyperbola and its standard equation; 5. Simple geometric properties of hyperbola; 6. Parabola and its standard equation; 7. Simple geometric properties of parabola.
Nine, straight line, plane, simple?
1. plane and its basic properties; 2. Intuitive drawing of plane graphics; 3. Plane straight line; 4. Determination and properties of parallelism between a straight line and a plane: 5. Determination and properties of verticality between a straight line and a plane: 6. Three perpendicularity theorem and its inverse theorem; 7. The positional relationship between two planes; 8. Space vector and its addition, subtraction, multiplication and division; 9. Coordinate representation of space vector; 10. the product of space vectors; 1 1. The direction vector of the straight line; 12. angles formed by straight lines on different planes; 13. Common perpendicular of straight lines on different planes; 14. Distance of straight lines in different planes; 15. Verticality of straight line and plane; 16. The normal vector of the plane; 17. Distance from point to plane; 18. The angle formed by a straight line and a plane; 19. The projection of the vector on the plane; 20. The nature that the plane is parallel to the plane; 2 1. Distance between parallel planes; 22. dihedral angle and its plane angle; 23. Determination and nature of verticality of two planes; 24. Polyhedron; 25. Prism; 26. pyramids; 27. Regular polyhedron; 28. Ball.
X. permutation, combination and binomial theorem
1. Classification counting principle and step-by-step counting principle; 2. Arrangement; 3. Formula of permutation number; 4. combination; 5. Combination number formula; 6. Two properties of combinatorial numbers: 7. Binomial theorem; 8. The nature of binomial expansion.
XI。 possibility
1. Probability of random events; 2. The probability of this possible event; 3. mutually exclusive events has the probability of occurrence; 4. The probability of mutually independent events occurring simultaneously; 5. Repeat the test independently.
Elective course Ⅱ
Twelve. Probability and Statistics
1. Distribution table of discrete random variables; 2. Expected value and variance of discrete random variables; 3. Sampling method; 4. Estimation of the overall distribution; 5. Normal distribution; 6. Linear regression.
Thirteen. limit
1. Mathematical induction; 2. Examples of application of mathematical induction; 3. Limit of sequence; 4. Limit of function; 5. Four operations of limit; 6. Functional continuity.
Fourteen derivative
The concept of 1. derivative; 2. Geometric meaning of derivative; 3. Derivatives of several common functions; 4. Derivative of sum, difference, product and quotient of two functions; 5. Derivative of composite function; 6. Basic derivative formula; 7. Using derivatives to study monotonicity and extremum of functions: 8. Maximum and minimum values of functions.
Fifteen. plural
The concept of 1. complex number; 2. Addition and subtraction of complex numbers; 3. Multiplication and division of complex numbers; 4. The solution of the univariate quadratic equation and binomial equation of complex numbers.
Extended reading: What are the efficient review methods for senior high school mathematics? First, remember after class.
If you forget the content in class, it is almost equivalent to relearning, so you must review the new knowledge you have learned in class in time.
One person can recall, or several people can inspire each other and supplement the memories together. Generally, according to the outline and essentials of the teacher's blackboard writing, or according to the outline structure of the teaching material, the review is carried out step by step from the topic to the key content to the details of each part of the example. In the process of review, we should lose no time in sorting out notes, because sorting out notes is also an effective review method.
Second, repeat and consolidate regularly.
Even the reviewed content should be consolidated regularly, but the number of reviews should be gradually reduced with the increase of time, and the interval can be gradually lengthened. You can consolidate new knowledge on the same day, make weekly summary every week, make periodic summary every month, and conduct comprehensive and systematic semester review at the middle and end of the semester. From the content, we should immediately review the knowledge of each lesson, sort out the knowledge of each unit, summarize the knowledge of each chapter, connect the relevant knowledge in series, form a knowledge network, and grasp the knowledge and methods as a whole.
Third, scientific and reasonable arrangements.
Review can generally be divided into centralized review and decentralized review. Experiments show that the effect of decentralized review is better than that of centralized review except in special circumstances. Decentralized review can properly classify the materials that need to be memorized and alternate with other studies or entertainment or rest, so as not to use a certain way of thinking monotonously and form fatigue. Decentralized review should also combine your own cognitive level and the characteristics of memory materials, and grasp the number of repetitions and the interval. The longer the interval, the better, but it should be suitable for your own review rules.
The fourth is the breakthrough of key and difficult points.
Analyze and classify the information learned, find out the key and difficult points, and prioritize. In the review process, we should pay special attention to the difficult and easily misunderstood problems, analyze their key points and error-prone points, find out the reasons, sort out such problems when necessary, record them in a special notebook, or make a "supermarket" with heavy difficulties on the computer and click review at any time.
Fifth, review the effect test.
As time goes by, the effect of review will change, some will be diluted, some will be vague and some will be inaccurate. How to master the content of each link in the end requires effect tests, such as weekly exercises, monthly exams, unit clearance exercises, mid-term exams and final exams, all to test the learning effect. The test must be completed independently within a limited time to ensure the authenticity of the test results. If there is any problem, we should find the root of the error and take remedial measures to correct it in time. There are many exercise books on the market at present. Please choose them under the guidance of your teacher.
What majors are suitable for science students? 1. Computer Science and Technology.
This major trains senior specialized scientific and technological talents engaged in computer teaching, scientific research and computer science and technology application.
After graduation, I am suitable to work in scientific research departments, educational institutions, enterprises and institutions, technical administrative departments and other related departments in various systems and industries.
Second, biological engineering (biological science)
This major trains engineering talents who are engaged in design, production, management, new technology research and new product development in biotechnology and engineering.
After graduation, I can engage in teaching, scientific research or other technical work related to biology in teaching and scientific research departments, agriculture, forestry, fishery, animal husbandry, medicine, medicine and related enterprises and institutions.
Three. biotechnology
This major trains senior specialized technical personnel with the innovation and practical ability of theoretical and applied research in biotechnology and related fields.
After graduation, I mainly want to engage in scientific research or teaching in scientific research institutions or institutions of higher learning, or engage in applied research, technology development, production management and administrative management related to biotechnology in enterprises, institutions and administrative departments in industries such as industry, medicine, food, agriculture, forestry, animal husbandry and fishery, environmental protection and gardening.
Fourth, communication engineering.
This major trains senior engineering and technical personnel who master the knowledge of light wave, wireless, multimedia communication technology, communication system and communication network, and engage in the research, design, manufacture, operation, development and application, management and decision-making of communication technology in the communication field.
After graduation, I will be engaged in scientific research, technology development, operation and management in various post and telecommunications administrations and companies affiliated to the Ministry of Posts and Telecommunications, and I can also be engaged in corresponding work in military, railway, electric power and other departments.
Verb (abbreviation for verb) mathematics and applied mathematics
This major is a combination of science and engineering, which cultivates senior scientific and technological talents with broad mathematical foundation, proficient computer application and development skills, strong foreign language (course) ability, certain applied scientific knowledge, and applying mathematical theories and methods to solve practical problems.
After graduation, he is suitable for scientific research, engineering, economy, finance, management and other departments and universities to engage in teaching, computer application, software design, information management, economic dynamic analysis and prediction and other research and management work.
Information of intransitive verbs and computational science
This major trains senior professionals engaged in research, teaching, application software development and management. After graduation, I mainly engaged in research, teaching, application development and management in science, technology, education, economy and other departments.
Seven. applied physics
This major has a solid mathematical foundation, is familiar with the basic theory and development trend of physics, is familiar with computer language, grasps the basic skills and data processing methods of experimental physics, obtains the basic training of technology development and engineering technology, and has good scientific literacy and innovative consciousness.
After graduation, I engaged in applied research, technology development, teaching and management in applied physics, electronic information technology, materials science and engineering, computer technology and other related scientific fields.
Eight, applied chemistry
This major focuses on the application technology of polymer materials, fine chemicals and computers in chemistry and chemical engineering, and trains senior professionals engaged in scientific research, industrial development and management knowledge in related fields.
After graduation, I will go to scientific research institutions, universities, enterprises and institutions to engage in scientific research, teaching and management.
Nine, environmental science
This major trains senior professionals engaged in scientific research, teaching, planning and management, environmental assessment and environmental monitoring.
After graduation, I will go to scientific research institutions, universities, enterprises, institutions and administrative departments to engage in scientific research, teaching, environmental protection and environmental management.
X. environmental engineering specialty
This major trains senior environmental engineering technicians with knowledge of water, gas, sound and solid waste pollution prevention and control, water supply and drainage engineering, urban water pollution control planning and water resources protection.
After graduation, I went to the government, planning, economic management, environmental protection departments and design units, industrial and mining enterprises, scientific research units, schools, etc. to engage in planning, design, construction, management, education, research and development.