I don't need to say much about the importance of mathematics. As a science student, mathematics is the best in the world. In science class, there is an accepted rule, what is your math ranking, and the total score ranking hovers up and down there. Don't ask me why, I don't know, but it's the same every time! Poor math, no matter how good it is! Can't be separated!

My road to mathematics is very difficult. When I was in grade one, my teacher was very kind and gentle. I can attend classes and get good grades. I can get 80 on the quiz at 100 (we are a key class in the provincial key high school, and the questions given by the teacher are very difficult). However, when the teacher changed in the second year of high school, he never attended classes again, and his grades plummeted. From Grade Two to Grade Three, the third monthly exam, 150 basically has no three digits. Especially in the third year of high school, the topic is more difficult, so I often only know the first two questions.

To improve mathematics, I think the most important thing is not to do more, but to learn to choose a topic to do it! It is important to sum up experience afterwards! There are many girls around me who are very efficient and do a lot of problems. Thick special training book, I can't do one question, look at the answer, copy the answer, and then do the next one. I can tell you, this is definitely twice the result with half the effort!

2. How to improve and practice

The first step to improve mathematics is actually to refine the subject and find out your own weaknesses.

Of course, it's only 100 days now, and it's impossible to cover everything. However, it is even more terrible to know that there are so many high school math textbooks and exercise books. However, there are only 2 1 questions in the math volume of the college entrance examination. How can it be comprehensive? ! The rest of the time we have to practice, that is, find out where we can't get through in the college entrance examination and break it down one by one!

We divide the college entrance examination papers into three types: multiple-choice questions, fill-in-the-blank questions and analytical questions.

It is not easy to determine the type of multiple choice questions. Each set of multiple-choice questions will have different test sites and fill-in-the-blank questions, which are not typical enough. Let me explain the answer first. This is a big question.

Taking Guangdong Volume as an example, there are five types of six definite problems, namely trigonometric function, probability statistics, solid geometry, analytic geometry, function derivative combined with finale, and an indefinite problem, in which science is a function problem and liberal arts is an application problem.

Let's analyze the test sites first:

It is easy to divide big problems into these categories. Generally speaking, probability statistics, trigonometric function and solid geometry are relatively difficult. If you want 120 points, you must ensure that you get points for all three questions. If you have weaknesses in all three, you need special training.

So how to carry out special training? As I said just now, I am definitely not holding a thick special training book. I can't ask a question. Look at the answer, copy the answer and do the next one. We have to choose a topic to do, and choose the type of the college entrance examination!

I am in the third semester of senior high school, and all the special training books have been thrown aside. I bought the college entrance examination questions of the province over the years (this is to feel the inertia of the questions), as well as the simulation questions and examination questions from all over the province. After these two kinds of questions are finished, you can also do the so-called expert prediction questions. Note that there are two key words, this province (different questions are done for nothing) and the set of questions!

Of course, the set of questions is definitely not done in sets. It will be done after mid-May. Don't do the whole set of questions regularly in advance. This is just to get you used to the atmosphere and thinking of the exam. 20 days is enough.

The reason why we want to buy a set of questions is because they are all college entrance examination questions, and this kind of questions is what we need to do. In the special exercise book, many questions will not be tested in the college entrance examination. For example, the topic of function, in which the big topic only involves the knowledge of function, is not necessarily simple, but it will definitely not be tested! This will only waste your time!

But divide and conquer is still what we are doing. For example, I found that I failed in solid geometry. Then I will find out all the big problems of solid geometry in the set of questions and finish them in a few days. Be careful not to repeat the same type and solution when doing it.

For example, my previous special-shaped prisms were very poor, that is, those prisms that were all composed of parallelograms, and it was difficult to establish a coordinate system. So when I was training in solid geometry, I didn't do such problems as cubes and pyramids, which are easy to establish coordinate systems. Just be weak. I have only done solid geometry for three days. I believe I have done all the types of the exam and mastered the methods. I will not be stumped by my solid geometry questions in the future.

This is the most effective special training method. Do special training with college entrance examination questions

3. Problem-solving training

Before that, I must instill an idea in you. The college entrance examination is to get points, whether it can or not, getting points is a skill. If you can't, you must get full marks, and if you can't, you must get extra points. Know what I mean?

Students who want to take the math test 120 must get almost full marks for the first three questions. The last three questions may be beyond our control. But students who want to take 130 should also ensure that they can get 25 points in these three questions.

These three problems are generally the comprehensive application of analytic geometry and functional derivatives.

Let's talk about analytic geometry first. This problem is my biggest headache. The amount of calculation is large and complicated, and it is difficult to work out methods for some problems. Here I will take this as an example to teach you how to deal with your insurmountable weaknesses.

At that time, I set myself the goal of math 130. My math foundation is not good, and it may be difficult to achieve it if I get higher. This goal is realistic, but it is still far from the 1990s.

I split 130, and got the following scheme by combining my own abilities: choose+fill in the blanks with full marks; The first three questions cannot be deducted; I can only get 6 points in the finale, that is, I will deduct 8 points; The penultimate question can be done twice, and 4 points will be deducted. When it comes to analytic geometry, there are generally two problems. Even if I don't ask the second question, it won't affect 130.

Why did you give up the 7 points in the second question of analytic geometry so generously? As I said before, this is the way to deal with insurmountable obstacles.

At that time, I didn't practice analytic geometry less, but I practiced more. I found that the exam was coming, and I still couldn't do all the questions in 15 minutes. Analyzing the first problem of geometry is generally relatively simple, and it can be finished in 3 minutes, but the second problem wastes me too much time and may be done wrong.

So when I come into contact with analytic geometry in the future, I will not practice the second question at all. During the exam, if the second question is not simply vomiting blood, I won't do it, so as not to waste time.

This is another way for me to identify an insurmountable weakness and give it up.

When I say give up, I definitely mean give up in a targeted way. For example, my goal is 130, and I can give up two small questions on the premise that other questions will be met, so I don't practice determining the questions to give up at ordinary times.

This is done to improve the ratio of time to integral. After all, time is limited, so we should focus on the part of rapid improvement.

Let's talk about the main event-the comprehensive application of function, sequence and derivative.

This part of the topic is often difficult, but I don't advocate giving up. Its characteristic is that it is difficult to remember, but once it is remembered, it is faster to solve the problem. And "thinking" is something we can train at ordinary times.

For example, a comprehensive application problem based on series should be known to students who have done many problems. Often the first question is to find the general formula, which is the most typical type of question in the series and a hot topic in the college entrance examination. Even if it is the finale, the first question must not be difficult. And there are only a few ways to find formulas in the college entrance examination.

As for the methods, I told you, and you won't use them. Only by exploring the rules yourself can we apply them freely in solving problems.

So how do you find your own solution? I can find out all the questions involved in finding formulas in all the sets of questions I have in my hand these two days. Just do that problem and do nothing else.

Maybe you won't know the first question. Well, look at the answer. After that, copying the answer is definitely not enough. You should look at it step by step and understand it. What did you do in the first step, why did you do it, what did you do in the second step, why did you do it ... until the whole process was understood, then cover the answer and do it again by yourself.

You can do it yourself, then you have understood the problem. But even this would not be enough Finally, what you have to do is to summarize and write down your whole idea of solving the problem in words, such as how to do the first step and how to do the second step.

For example, I summed up one at that time:

When there is a relationship equation of double series items in the topic, the method to find the dominant formula is 1, and find a more obvious dominant formula (usually arithmetic or geometric series). 2. Merge the first series item to one side. 3. Bring the dominant formula in 1 into the equation and find the second dominant formula.

Of course, this is just an example, not necessarily right, but you should be able to summarize the classic questions into the general law of this kind of writing. Next time you encounter this kind of problem, just put the rules in it.

This summary method is not only applicable to mathematics, but also to chemistry, which I will mention again when I talk about chemistry.

Many students asked when to make a summary. This is the answer here when you find a new type of question.

Of course, many students will think it is a waste of time to do the problem like this. Yes, I tried a question and worked all night. And the reason why I asked you to do a set of questions is because you should be sensitive to the questions in the college entrance examination and know which questions are likely to be tested and which ones will not be tested.

This summary method must be targeted, that is, it should be used in the questions commonly taken in the college entrance examination. In particular, trigonometric function, probability problem, solid geometry, seeking analytic formula in analytic geometry, seeking derivative and summation in sequence problem, these kinds of questions that must be tested in the college entrance examination, are always trying.

But you have to say those grand finale questions that you haven't seen. I tell you, I can't help it. I can't practice this kind of topic at ordinary times. It's a sense of accomplishment to spend one night working out a difficult problem, but what's the use? Can't hit the original question.

4, refine the target score (key)

I just mentioned a method to refine the target score, and now I will talk about this method in detail.

When the exam results come out, many students pay attention to the ranking to confirm their advance and retreat. Because there are too many people who hold this view, I won't refute it, but I think the ranking is beyond my direct control. There are too many factors that determine the ranking. Therefore, paying too much attention to the ranking will produce a sense of powerlessness that there is no way to control the results. . . Forgive my poor descriptive skills.

However, the score is something we can control directly! The gain and loss of each point is entirely up to you! The score is something we can control!

So pay attention to the advance and retreat of your scores. Every time I take an exam in senior three, it should be said that the difficulty difference will not be great. Of course, there will be difficulty gaps, but the difficulty of the college entrance examination is beyond our control. I can let myself freely send and receive simple and difficult questions, just control the score!