In the examination room, we should grasp the following four relations.
1. The relationship between examination and problem solving
I didn't pay enough attention to the examination of the topic, and I was so eager to see it at a glance that I didn't fully understand the conditions and requirements of the topic. As for how to dig out the hidden conditions from the topic and stimulate the thinking of solving problems, it is even more impossible to talk about it, so there are naturally many mistakes in solving problems. Only by patiently and carefully examining the questions and accurately grasping the key words and quantities in the questions (such as "at least", "a > 0", the range of independent variables, etc. ), and get as much information as possible, in order to quickly find the right direction to solve the problem.
2. The relationship between "doing" and "scoring"
To turn your problem-solving strategy into a fractional point, it is mainly expressed in accurate and complete mathematical language, which is often ignored by some candidates. Therefore, there are a lot of "yes but no" and "yes but incomplete" situations on the test paper, and the candidates' own evaluation scores are far from the actual scores. For example, the "skip" in solid geometry argument has caused many people to lose more than 1/3 points. In algebraic argument, the idea of "substituting pictures for proofs" is correct, even ingenious, but it is clumsy because it is not good at translating "graphic language" into "written language" accurately. Another example is the image transformation of trigonometric function in 17 last year. Many candidates "have a good idea" but don't know clearly, and there are not a few points deducted. Only by paying attention to the language expression of the problem-solving process can we grade the "can do" questions.
3. Fast and accurate relationship
At present, in the case of a large number of questions and tight time, the word "quasi" is particularly important. Only "accurate" can score, and only "accurate" can avoid taking the time to check. And "fast" is the result of usual training, not a problem that can be solved in the examination room. If you try to be quick, you will only make mistakes in the end. For example, in last year's application problem No.21,it was not difficult to list piecewise analytic functions, but quite a few candidates miscalculated quadratic functions or even linear functions in a hurry. Although the following part of the problem-solving idea is correct and takes time to calculate, there is almost no score, which is inconsistent with the actual level of candidates. Slow down and be more accurate, and you can get a little more points; On the contrary, if you hurry up and make mistakes, you will not get points if you spend time.
4. The relationship between difficult and easy problems
After you get the test paper, you should read the whole volume. Generally speaking, you should answer in the order from easy to difficult, from simple to complex. The order of examination questions in recent years is not entirely the order of difficulty. For example, it was more difficult to manage 19 than to manage 20 and 2 1 last year. Therefore, we should arrange the time reasonably when answering questions, and don't fight a "protracted war" on a stuck problem, which will take time and won't get points, and the questions we can do will also be delayed. In recent years, mathematics test questions have changed from "one question to many questions", so the answers to the questions have set clear "steps", with a wide entrance and easy to start, but it is difficult to go deep into the final solution. Therefore, seemingly easy questions will also have the level of "biting hands", and seemingly difficult questions will also be divided. So don't take the "easy" questions lightly in the exam, and don't be timid when you see the "difficult" questions of new faces. Think calmly and analyze carefully, and you will definitely get the score you deserve.