Analysis of liberal arts mathematics test questions and answers in the second volume of the new national college entrance examination in 2022
The second volume of the national new college entrance examination in 2022 has not yet been released. After the college entrance examination, I will update the second volume of liberal arts mathematics questions in the new national college entrance examination in 2022 as soon as possible for everyone to compare, evaluate and simulate.
Summary of 2022 College Entrance Examination Mathematics Major Questions
Trigonometric function or sequence
Sequence is one of the compulsory contents of college entrance examination. The college entrance examination examines this knowledge point very comprehensively. Every year, there are questions from arithmetic progression and geometric progression, and they often appear in the form of comprehensive questions, that is to say, the knowledge of series is integrated with other knowledge points such as exponential function, logarithmic function and inequality.
In recent years, the series of exam questions mainly include the following aspects:
The investigation of the basic knowledge of (1) series mainly includes the basic concepts of arithmetic progression and geometric progression, the general term formula and the summation formula.
(2) Combine the sequence knowledge with other knowledge points, mainly including the combination of sequence knowledge with other knowledge such as functions, equations, inequalities, triangles, geometry and so on.
(3) The order problem in application problems is usually manifested as the problem of growth rate.
Second, solid geometry.
There are generally four three-dimensional geometry questions in the college entrance examination (multiple-choice questions and fill-in-the-blank questions, solving problems 1 question). * * * The total score is about 27 points, and the knowledge points examined are within 20. Choose fill-in-the-blank questions to investigate the calculation problems in the classroom, and the analytical questions focus on the logical reasoning problems in the classroom. Of course, both should be based on correct spatial imagination. With the further implementation of the new curriculum reform, the test questions of solid geometry are developing in the direction of thinking more and calculating less. Judging from the changes of examination questions over the years, the demonstration of the positional relationship between line and surface and the exploration of angle and distance based on simple geometry are always hot topics.
Three. Statistics and probability
1. Master the principles of classified counting and step counting, and use them to analyze and solve some simple application problems.
2. Understand the meaning of permutation, master the calculation formula of permutation number, and use it to solve some simple application problems.
3. Understand the meaning of combination, master the calculation formula and properties of combination number, and use them to solve some simple application problems.
4. Grasp the properties of binomial theorem and binomial expansion, and use them to calculate and prove some simple problems.
5. It is significant to understand the regularity and probability of random events.
6. Understand the significance of the probability of equal possibility events, and use the basic formula of permutation and combination to calculate the probability of some equal possibility events.
7. In order to understand the meaning of mutually exclusive events and independent events, we will use mutually exclusive events's probability addition formula and independent event probability multiplication formula to calculate the probability of some events.
8. Calculate the probability that an event happens exactly k times in n independent repeated tests.
Four, analytic geometry (conic)
Analytic geometric analysis of college entrance examination;
1. Many college entrance examination questions are based on three geometric elements: point, straight line and curve (such as circle, ellipse, parabola and hyperbola).
2. Deductive rules are algebraic deductive rules, or rules for listing equations and solving equations.
With the above two understandings, we can come to the conclusion without hesitation that solving the analytic geometry problem in the college entrance examination is nothing more than doing two things:
(1), Algebraization of Geometric Problems.
(2) Using algebraic rules to deal with problems after algebra.
Verb (abbreviation for verb) function and derivative
Derivative is the initial knowledge of calculus and a powerful tool to study functions and solve practical problems. In senior high school, the study of derivatives is mainly in the following aspects:
1. Standard Problems of Derivative Products:
(1) representation function (more accurate and subtle than the elementary method);
(2) the connection with tangent in geometry (the tangent of plane curve can be studied by derivative method);
(3) Application problems (elementary methods often require high skills, while derivative methods are relatively simple) and other derivative problems about sub-polynomials are difficult types.
2. There are many problems about the maximum value of function characteristics, so it is necessary to discuss them specially. The derivative method is faster and simpler than the elementary method.
3. The mixed problem of derivative and analytic geometry or function image is an important type, and it is also a direction of comprehensive ability in college entrance examination, which should be paid attention to.
Scoring standard of 2022 college entrance examination solution questions
Generally speaking, the scoring principle of marking answers is: the first question is wrong or not done, and the second question is right, then the second question will be given full marks; If the former error causes the latter method to be used correctly but the result is wrong, the latter one will be given half a point.
Problem solving strategy:
(1) Common scoring factors:
1. Lack of correct understanding of the meaning of the question, so do it slowly and quickly;
2. Formulas are not easy to remember, so you must be familiar with formulas, theorems and properties before the exam;
3. Thinking is not rigorous, don't ignore the error-prone points;
4. If the steps of solving problems are not standardized, you must follow the requirements of the textbook, otherwise you will lose points because the answers are not standardized, and avoid the situation of "right and incomplete" in solving probability questions. You should give an appropriate text description, not just list a few formulas or simple conclusions. Non-intellectual factors such as irregular expression and scribbling will affect the "emotional score" of the marking teacher;
5. Poor computing ability leads to a lot of points, so we must not let go of what we can do, and we must not just seek quick results. For example, the conic curve problem in plane analysis requires strong calculation ability;
6. Give up the test questions easily, and the problem will not be solved. They can be broken down into small problems and solved step by step. For example, if you can at least translate written language into symbolic language, set the unknowns of application problems, set the coordinates of moving points of the trajectory, and so on. You can all get points. Perhaps with the listing of these small steps, we can realize the inspiration of solving problems.
In 2022, the national new high examination paper two liberal arts mathematics questions and answer analysis articles;
★ 2022 National College Entrance Examination Mathematics Test Questions and Answers
★2022 National College Entrance Examination B Chinese Zhenti Examination Paper and Answer Analysis (unpublished)
★ Mathematics Examination Paper of Zhejiang College Entrance Examination in 2022
★ List of Chinese Test Questions and Answers of the New High Test Paper in 2022
★ What are the national college entrance examination papers in 2022?
★ Summarize the latest knowledge points of the 2022 college entrance examination mathematics.
★ Summary of Required Knowledge Points in Mathematics 2022 College Entrance Examination
★ List of scores of comprehensive literature in 2022 college entrance examination.
★ 2022 New College Entrance Examination Volume 1 Chinese Topics and Answers Reference
★ 2022 New High Examination Paper 2 Choose to Create Future Composition 12