1. Multiple choice question-"By hook or by crook"
(1) Pay attention to the exam. Read the topic several times to find out what this topic seeks, what it knows, and what is the relationship between seeking and knowing. Make it clear before you begin to answer questions.
(2) The order of answering questions is not necessarily according to the question number. You can answer the questions you are familiar with first, start with the questions you are sure of, let yourself enter the problem-solving state as soon as possible, and generate the passion and desire to solve problems, and then answer the unfamiliar or unfamiliar questions. If you have time, try to spell out those questions that you are not sure or can't start. This may be able to play beyond the level.
(3) Mining hidden conditions and paying attention to error-prone and confusing points, such as the empty set in the set, the definition domain of the function, the restrictive conditions of the application problem, etc.
(4) Various methods, by hook or by crook. The college entrance examination questions highlight the ability, make a mountain out of a molehill, pay attention to clever solutions, and be good at using the methods of combination of numbers and shapes, special values (including special values, special positions and special figures), exclusion, verification, transformation, analysis, estimation and limit, and answer quickly once the ideas are clear. Don't dwell on one or two small problems, and don't make a mountain out of a molehill. If you really have no idea, you should be confident. "Don't ask questions, but do it right." Even if you are cute, you have a 25% winning rate.
(5) control time. Generally speaking, it should not take more than 40 minutes, and the multiple-choice questions should be completed in about 25 minutes. Try to answer quickly and accurately, and leave enough time for the following answers to prevent "losing points over time".
2. Fill in the blanks-"direct result"
Fill-in-the-blank questions are similar to multiple-choice questions, and some problem-solving strategies can be used. I won't say it here, but I'll give you some suggestions according to different characteristics:
(1) The answer result must be accurate in numerical value and standardized in form, such as the representation of set form and the completeness of function expression. If there is something wrong with the result, it is zero.
(2) Answer the fill-in-the-blank questions correctly, reasonably and quickly. The basic strategies to solve this problem are: operate quickly and avoid making a mountain out of a molehill; Stability-deformation should be stable to prevent impact; Complete-the answer should be complete, avoiding being right and incomplete; Live-live to solve problems, don't copy them mechanically; Careful-careful examination of the questions, not sloppy.
3. Solve the problem-"step by step"
The scoring method of mathematics college entrance examination is called "subsection scoring". The basic strategy of "grading by sections" for candidates is: try not to lose points on the topics that can be done, and add as many points as possible on some topics that can be understood. If you don't pay attention to accurate expression and standardized writing, you will often be deducted by sections. Teachers who have experience in marking papers tell us that when solving solid geometry problems, vector methods are often used to deal with fewer points.
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. The strategy to solve the problem is as follows:
(1) Common scoring factors
(1) lacks a 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) The steps of solving problems are not standardized, so we must follow the requirements of the textbook, otherwise we will lose points because the answers are not standardized, and avoid the situation of "right and incomplete" in solving probability problems. You should give an appropriate written explanation, not just list a few formulas or simple conclusions;
⑤ Poor computing ability leads to many points lost, so we must not let go of what we can do, and we must not blindly seek quick results. For example, the conic curve problem in plane analysis requires strong calculation ability;
If you give up the test questions easily, the problem will not be solved, but 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.
(2) What is "subsection scoring"
What kind of problem-solving strategy there is, what kind of scoring strategy there is. Writing down the real process of your problem solving is the whole secret of "grading by stages"
Step by step solution: If you encounter a very difficult problem, break it down into a series of steps. Solve some problems first, and solve as many as you can. Failure is not equal to failure. Especially those problems with obvious problem-solving level, or programmed methods, can be scored at every step of calculus. Although the final conclusion has not been reached, the score is over half. This is called "taking small points for big problems".
2 Skip the answer: It is common for the problem-solving process to get stuck in a transitional link. At this time, you can admit the intermediate conclusion first, and then push it backwards to see if you can draw a conclusion. If not, it means that this road is wrong and change direction immediately; If you can reach the expected conclusion, come back and concentrate on overcoming this "stuck place". Due to the limitation of examination time, if it is too late to overcome the "stuck place", you can write down the previous one and keep writing "After confirming a certain step, there will be ……". Perhaps, later, the intermediate steps were thought out again. Don't insert it casually at this time, and make it up later. If there are two problems in the topic, and you can't think of the first one, you can call the first one "known" and do the second one first, which is also a leap-forward solution.
(3) Auxiliary solution: It is wise to find the auxiliary steps before finding the substantive steps of a topic. Such as: drawing accurately, translating the conditions in the topic into mathematical expressions, setting the unknowns of application questions, etc. On the answer sheet, we should be slow and steady, well documented, step by step, strive for a success and improve the success rate. After the test questions are finished, carefully check whether there are empty questions, whether the answer sheet is accurate, whether the letters written are consistent with the graphics in the questions, and whether the format is standardized. In particular, it is necessary to check whether the letters and symbols are copied incorrectly and hand in the papers only after they are confirmed to be correct.
(3) Different abilities and requirements.
For candidates with poor foundation and taking two books as the highest goal, it is necessary to "win steadily"-this kind of candidates, in addition to their knowledge defects, "will be wrong, but not complete" is the achilles heel of this kind of candidates. The main reasons for losing points are examination and calculation errors. When you take an exam, you should overcome your impatience. If you find that you can't do it, give up as soon as possible and spend your time checking the questions you have done, or go back to the questions you haven't done before. Remember, as long as you do all the right questions, you are the most successful person!
For students who have two books and one part, it is necessary to "win by accuracy"-a solid foundation, but they will also make low-level mistakes. Therefore, they should be accurate in the exam (referring to the questions they can do), except for the third question of the last two questions, most of which are within the "firepower range". However, you may encounter a "roadblock" ahead. You should dare to give up, do what you can, and then come back to "fight the tiger".
For the examination of the preferred prestigious school, we should "win with innovation"-the main direction of these candidates is the ability-based test questions. On the premise of doing regular test questions quickly and correctly, concentrate on doing ability-based test questions well. These test questions often have high thinking intensity and high operational requirements, and new ideas and methods are needed to solve problems, so we should grasp them flexibly and make the best use of the situation. Don't panic if you encounter an embarrassing exam. Maybe the exam is difficult, so is everyone. At this time, it is the best policy to keep the questions that can be done without losing points.