The math test questions in NMET not only focus on students' mastery of basic knowledge, but also add some innovative elements. The narrative methods of some topics are relatively novel, which highlights the examination requirements of "Mathematics Culture" in the examination syllabus. 20 18 college entrance examination mathematics may continue to focus on the basic knowledge, basic ability and basic thinking methods of mathematics, follow the provisions of the examination syllabus, and pay attention to the examination of general mathematical methods to reflect the basic and innovative examination objectives.

First stage

Students with poor foundation can read it, as long as they read the textbook carefully and master every formula theorem. Students with poor foundation should not blindly ask me what reference materials to buy. You should read the book first. )

How to master? To understand its reasoning process, we must be able to deduce this formula at last, and don't think this item is useless, because all the problems in recent years have been proved by formulas.

After mastering the formula theorem, I began to do examples in the textbook. The thinking of the examples in the textbook is relatively simple, and the knowledge points are single and will not cross. If you take out the examples in the textbook, you will do it, which shows that you have a certain understanding.

After reading the examples in the textbook, I feel that I have accumulated some confidence. The previous questions are at the same level as the examples in the textbook. If the questions in the textbook can be done well, then the solid foundation can come to an end.

stage Ⅱ

Mathematics in senior high school is generally divided into trigonometric function, solid geometry, sequence, statistics, derivative and conic curve. How to practice the problem? Study the example carefully, and then try to redo the example yourself (you must understand the process and principle of solving the problem before you do it), and then do the problem behind the title chapter in the data book. Doing mathematics can only solve simple problems with formulas. There are many skills to solve math problems, and there are also fixed ideas to solve big problems. Brother Xue will explain them one by one below.

First, study the teaching materials carefully and connect the knowledge into a system.

Mathematics test questions in the college entrance examination are often directly adapted into college entrance examination questions with the help of a content in the textbook. For example, 20 17, the second question of 23 questions (inequality multiple-choice questions) in the national volume, was adapted from the elective course of Hunan Education Press, 5 1 page. The answer to the second question and the first question in National Volume 1 (19) comes directly from the reading material on page 80 of Compulsory 3 of People's Education Press. In the review process, candidates need to carefully read and understand the relevant contents in the textbook, including every concept, example, note and figure, and accurately understand and remember the knowledge points. Designing test questions at the intersection of knowledge networks is a highlight of college entrance examination mathematics in recent years. Candidates can string together the mathematical knowledge of the teaching materials into a line, try to meet the requirements of the college entrance examination, reflect the mutual connection and integration between the knowledge plates in various places, and train them.

Second, consolidate the basic knowledge, not just "playing skills"

In the newly revised examination syllabus, the first purpose of the examination is "our college entrance examination proposition should highlight the foundation". About 80% of the basic questions in the mathematics examination paper of the college entrance examination should take the "three basics", that is, basic knowledge, basic skills and basic thinking methods, as the top priority, whether it is the first round, the second round or the third round of review. This reminds us that when reviewing, we should grasp the basic questions, lay a solid foundation, strictly and accurately grasp the basic points, and get full marks from the foundation. In recent years, the math problems in college entrance examination often focus on the examination of general methods.

Third, optimize problem-solving strategies to prevent "making a mountain out of a molehill"

The idea of solving problems should be optimized and the method of solving problems should be simple. In the college entrance examination, we should choose topics to fill in the blanks, make a mountain out of a molehill, pay attention to clever solutions, and be good at using methods such as combination of numbers and shapes, special values (including special values, special positions and special figures), exclusion, verification, transformation, analysis, estimation and limit. Once you have a clear idea, you can answer quickly. Don't get caught up in one or two minor problems, so as to prevent "making a mountain out of a molehill" and "figuring it out at once". It is suggested that the topic selection should generally not exceed 40 minutes, and strive to be quick and accurate, leaving enough time for the following answers to prevent "overtime loss". Problem-solving strategy: try not to lose points, pay attention to accurate expression and standardized writing; Try to get as many points as possible for some questions you understand. If you encounter a difficult problem and you really can't do it, you can break it down into a series of steps, or solve as many small problems as possible, and write a few steps as soon as you can think of them. This is called "seeing the big from the small". If there are two questions in the topic, and you can't think of the first question, you can make the first question "known", do the second question first, and skip the answer.

Fourth, strengthen regular practice and often think about the "wrong book"

The structure and types of test questions in the mathematics of national examination paper are stable and continuous, and the knowledge points, methods and angles of each type of test questions are relatively fixed. Mastering all kinds of questions in the national paper will basically master the soul of the national paper proposition. In the process of reviewing and preparing for the exam, candidates can regularly practice the real questions of the national college entrance examination in recent years and follow the principle of "fast, steady, complete, flexible and detailed", that is, they should operate quickly and avoid making a fuss; Deformation should be stable to prevent impact; Answer should be complete, avoid being right and incomplete; Solve problems alive, not mechanically; Examine the questions carefully, don't be careless.

At the same time, it is suggested that candidates set up their own special mistake book, and give feedback and correction in time after regular practice, especially for those typical mistakes caused by poor understanding of concepts, incorrect knowledge memory, imprecise thinking, improper use of methods, etc., we must collect comments, point out the reasons for the mistakes, and often read to remind ourselves, which is also conducive to enhancing self-confidence in the examination process.

Fifth, study the examination syllabus and make good use of the quasi-frame of reference.

Examination description is the basis of college entrance examination proposition, the knowledge requirement of examination for candidates, and the most important "frame of reference" for candidates to prepare for and review. Compare the teaching materials with the review notes one by one to see if they have been implemented and ensure that there are no omissions. Compare with the outline, find out which contents are weak links, find out the mistakes in answering general exams, and what knowledge, methods and problem-solving strategies these contents involve, and then take remedial measures. It can be analyzed by content or by question type. In particular, we should attach great importance to the contents adjusted in the syllabus, make clear the requirements, and improve the pertinence and effectiveness of review.

The last problem in the 1. conic curve is often so complicated that K cannot be calculated. At this time, the special value method can be used to calculate k forcibly. The process is to combine first, then calculate δ, and list the expressions that need to be solved by David's lower theorem.

2. There is a step in the process of proving space geometry that I really can't think of. Just write down the conditions you don't use and draw unexpected conclusions. If the first question really can't be written directly, the second question can be used directly! Students who use conventional methods suggest that a spatial coordinate system should be established at will first. If you make a mistake, you can get 2 points!

3. A new method to find dihedral angle B-OA-C in solid geometry. Using the cosine theorem of trihedral angle, let dihedral angle B-OA-C be ∠OA, ∠AOB be α, ∠BOC be β, ∠AOC be γ. This theorem is: cos ∠ OA = (cos β-cos α cos γ)/sin α sin γ. Knowing this theorem, if you encounter the problem of finding dihedral angle in solid geometry in the exam, you will come up with a set of formulas. It is not too late. Try it?

4. The derivative multiple-choice questions of transcendental functions can be replaced by constant functions that meet the conditions, but not by linear functions. If there are too many conditions, killing inequalities by mirror method is also a special value method mirror method ~

5. If there is cone volume and surface area in the multiple-choice question, directly look at the option area, and find the small one with a difference of 2 times is the answer, and the small one with a difference of 3 times is the answer. I have been trying!

6. Using sine theorem, cosine theorem and area formula to solve triangle problems, there are usually two directions, namely, keratinization into an edge and angulation from an edge. It is necessary to analyze which is more convenient according to specific problems. When encountering complex problems, list the unknowns as unknowns, establish equations according to theorems, and then solve the equations.

7. To solve the series problem, pay attention to the general formula of arithmetic and geometric series, the first n terms and formulas; Directly prove that the series is arithmetic or equal ratio by definition (the last term minus the previous term is constant/the last term is constant), and find the general term formula of the series, such as the direct generation formula of arithmetic or equal ratio.

8. Solid geometry problems, proof problems pay attention to various methods of proof (judgment theorem, property theorem), and pay attention to the introduction of auxiliary lines, generally diagonal lines, midpoints, proportional points, midpoints of isosceles triangles, etc. In fact, science can directly use the vector method when it cannot be proved. The calculation problem is mainly volume, pay attention to letter transposition (equal volume method);

9. The distance between a straight line and a plane is equal volume method. There are dihedral angles, line angles and plane angles in science. It is relatively simple to establish a spatial coordinate system (vector method). Pay attention to the calculation of coordinates of each point, and don't make mistakes.

10. Probability statistics, mainly frequency distribution histogram, pay attention to the ordinate (frequency/interval). The problem of finding probability, the liberal arts enumerates, and then counts, don't count wrong, the number is less, probability = the number that meets the conditions/all possible numbers;

1 1. function problem, don't forget to look at the domain first. Generally, you ask for a derivative, and pay attention to the intersection with the domain when you find the monotonous interval. Look at the question type and turn the question type into what you have learned (judging monotonicity by derivative (it is common to discuss ideas by classification when including parameters, and it is common to find that molecules are quadratic functions after derivative)

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13. Prove related problems by various methods (synthesis, analysis, reduction to absurdity and mathematical induction in science). Don't just look at the abstract proof problem with your eyes, you should set the unknown quantity in it and prove the problem without thinking.

14. Conic curve problem, the first problem is to find the curve equation, and pay attention to the methods (definition method, undetermined coefficient method, direct trajectory method, back calculation method, parameter equation method, etc.). Be sure to check whether the first question is correct or not, otherwise you will forget the second question. Second, when a straight line intersects a conic curve, remember to use the same time when completing it. The first step is synchronization. According to Vieta's theorem, find the sum and difference of two roots. Because it is usually handed in at two o'clock, pay attention to the verification discriminant >; ; 0, pay attention to discuss whether there is a slope when setting a straight line.

15. the maximum value or range problem (the basic idea is still the function idea, which requires that the quantity of the solution be expressed as a function of an appropriate variable (slope, intercept or coordinate), and the method of finding the domain by using the function (first, the range of the variable is required to be the domain-don't forget DELT >；; ; 0, and then use various methods to find the domain-direct method, substitution method, mirror method, derivative method, mean inequality method (pay attention to verify "=") to find the maximum (maximum and minimum), that is, the interval is also found).

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