In a small county-level city, if you want to enter a prestigious school, your grades must be stable in the first place in the city, and I am still far from this level as a senior one and a senior two. However, after a short period of senior three, I stood out among more than 3,000 candidates in the city. What methods have helped me make such great progress? In less than a year, what have I gained? I will tell you in detail below.
Experience of preparing for college entrance examination mathematics
When you first entered the third year of high school, you could feel the pressure approaching in the surrounding air. The classmates around you may not change much on the surface, but they are definitely different from the first and second year of high school in their hearts. Looking at their rapid progress, you must understand that they have suffered more and found a more suitable learning method. In this case, if we want to beat them, we must adjust our mentality, study methods and work and rest habits.
Looking back on my freshman year and sophomore year, my grades in other subjects were ok, but mathematics was always unsatisfactory, and the importance of mathematics in the college entrance examination did not need to be repeated, so I made a series of high school mathematics plans. Although this plan encountered various difficulties in the implementation process, I tried my best to overcome it and ensure the smooth implementation of the plan.
Before talking about my study plan, let me make a thorough analysis of NMET's mathematics: in NMET, mathematics mainly examines students' logical thinking and calculation ability, function is the basis of high school mathematics, and the change rate of function and analytic geometry derived from its combination with geometry are the difficulties of high school mathematics.
In the college entrance examination, the form of mathematics examination is relatively fixed, and the difficulty is lower than the national average. Innovation only pays attention to the types of questions, and rarely involves the transfer of difficulties. Set, vector, linear programming, permutation and combination, flow chart, probability and other issues. Generally, it only appears in small problems, and most of them belong to middle and low-grade problems. The finale of a small question lies in the choice and filling in the blanks in the last step. Recursion of series, special functions, analytic geometry and innovative questions are generally easier to test, but the questions are more difficult. It is necessary to examine students' computing ability as well as their ability to accept, understand and apply new knowledge.
For big questions, the examination form is completely fixed:
The first trigonometric function, which mainly involves trigonometric function induction formula, sine and cosine theorem and combination of numbers and shapes, is a low-level problem in the big problem, but many students sometimes get stuck when doing the following problems, which affects their mood.
The second topic is solid geometry. Generally, the first quiz is about the proof of parallelism and verticality, and the second quiz is about vector operation, which is one of the sub-questions.
The third test probability, that is, writing distribution tables and mathematical expectations, is also giving sub-questions, but it takes time.
The fourth topic is the problem of sequence. In Shandong, serial number is not the focus of investigation, so it is not as difficult as some provinces. At most, it is only the sum of split items and dislocation addition and subtraction items, which is considered as an above-average question type.
From this analysis, the difficulty of a test paper basically lies in five or six major questions, a derivative and an analytic geometry. These two questions have high scores, are difficult, have a very wide scope of investigation and take a long time. However, even if you can't do it, you won't get a point. First of all, the first quiz is given points, and the second and third quizzes are given points step by step, so you will get some points.
After the analysis, it's time for me to talk about my study plan. In fact, the so-called plan is only an overall vague plan, because in the process of learning, my ability and understanding are constantly changing, and I need to modify the plan frequently. The following is my exploration process in recent months:
In September and 10, I decided to carry out systematic intensive training according to the topic to lay a solid foundation. For this reason, I bought the book Nine Sets of College Entrance Examination. This book systematically summarizes the college entrance examination questions and simulation questions. Each chapter is a topic, the difficulty is also appropriate, and it is quite handy to do. Because all the senior three teachers have their own review plans, I can only make time to do it in my daily life. Generally, during recess, before class in the afternoon, when eating, I will brush this set of questions silently in my seat, while during self-study in the evening, I mainly do some induction, so I got a loose-leaf book, copied down all kinds of wrong questions and good questions in the book, and indicated my mistakes and the eyes of this question with a red pen.
/kloc-after 0/0, I feel that I have mastered all the points, but I still can't get the ideal math score. I think the reason is that although there is no blind spot of knowledge, there is no feeling of dealing with the whole test paper, and there are certain obstacles in the thinking transformation of various types of questions, so I decided to do a full set of questions. For this reason, I bought "Nine sets of sprint papers for college entrance examination", which are college entrance examination questions all over the country.
For more than a month, I have been studying at home at 22: 15 every night, and immediately began to write math college entrance examination questions on time. 00: 15 Start writing, washing and sleeping on time. The next day, I took out part of the evening self-study, checked and sorted out the questions I had done the day before, and recorded my feelings every day. In this way, it was completed in less than two months. This program is very effective in improving grades. After that, I usually do the simulation questions issued by the school, and I can always finish them half an hour in advance, and the scores are generally above 145.
But the simulation questions are simulation questions after all, and they are definitely not at the same level as the college entrance examination questions. Maybe I have mastered the basic questions very well, but I still don't have much confidence in the last two questions. So, in the next semester of senior three, I bought all kinds of math papers, and each paper only did the last two questions. I did the near 100 question and began to sort out the notes of the finale question, which was actually based on the question type.
For example, I divide derivative problems into the following ten categories:
1. When x=0 or x 1, f'(x)=0 and x0∈(0, x 1) exists, so f' (x0).
2. Given that f'(x) is monotonous and f'(x0)=0, x0 can be guessed and then verified;
3. There is no conventional function model, and the function is constructed by shifting terms and replacing elements;
4. Find out that the maximum value of f'(x) is less than zero through f'(x), so as to know the monotonicity of f(x);
5. When looking for parameters, first bring in the endpoint, find out the parameter range, and then verify the constancy;
6. Give the parameter range, and take the extreme value of the parameter when proving the function relationship;
7. prove f (x)
8. Dealing with problems with periodic functions;
9. Classification and discussion of basic problems (no emphasis on omission, flexibility and conciseness);
10. Application of separation variables
Analytic geometry can be divided into the following twelve categories:
1. Solve problems through geometric properties such as similar triangles;
2. Flexible application of point difference method;
3. The application and treatment of angle bisector:
4. Parametric equation and triangle area in ellipse (Shandong 2011);
5. Make two tangents through a fixed point, and find the linear equation of the two tangents;
6. Alternating simultaneous solution of linear equations;
7. The unknown quantity is not known, and the parameters are eliminated by Vieta theorem;
8. The technical problems of Vieta's theorem, such as the exchange of elements and squares;
9. Distance relationship is transformed into angle relationship;
10. Transformation of the central coordinate range;
1 1. Tangency of conic curve;
12. Find a fixed point, try the fixed point with a special position first, and then verify it.
Through this kind of induction and summary, when I meet the questions that have no clue in the exam again, I will naturally think about these questions, and some new ideas will appear to help solve them. In fact, these finale questions seem to be varied, but in fact they are nothing more than the above categories. I hope the students can be calm and answer calmly when they deal with it again.
Near the college entrance examination, a good friend and I got the college entrance examination questions for nearly seven years. We have studied the changing law of Shandong propositions in these years one by one, understood the development trend of the key points of investigation, and roughly know how long each question will take. In addition, we carefully read every math textbook, reading the most basic definitions in the textbook and the solution process of all examples, and we really have answers.
I finished my math exam on the afternoon of June 6, and I felt very good. I think I did a good job, and all my efforts were worthwhile. Although the final score is a few points less than I estimated, I believe that no matter how hard I try, I can't reach the final height.
The above is my real experience in senior three. Combining the excellent learning methods of myself and other friends in college, I will give you the following suggestions for preparing for math:
1. Senior one and senior two follow the teacher's rhythm. By doing more questions and summarizing, they will lay a solid foundation. If they have questions, they will seek answers, leaving no blind spots of knowledge.
2. In addition to one or two rounds of review with the students, Senior Three has its own plans and schemes, and first checks for missing parts; After that, we scanned the college entrance examination questions all over the country in recent years and made a horizontal comparison to minimize the time to do the questions and improve the speed and accuracy of doing them. Next, find the college entrance examination questions in Shandong province over the years, make longitudinal analysis and comparison, and be familiar with the rules and trends of Shandong proposition; Finally, go back to the textbook and do the last round of review based on the textbook. Don't miss a bit.
Don't get too close to others every day, because everyone is excited at different times, but you should have a clear conscience before going to bed. However, I still don't advocate staying up late, because it often keeps your brain excited late at night, but the college entrance examination is held during the day.
Mathematics is not a subject that can be improved simply by doing problems. Be sure to sum up, summarize and think more, thoroughly understand each question, and then carry out a series of reinforcement by doing the questions. Regarding the arrangement of wrong documents, I recommend that you adopt the method of drawing inferences from others, that is, for each wrong document, you will find three similar topics, which will help you deepen your understanding of this kind of topic. I remember the high school math teacher said that if the college entrance examination can ensure that the missed questions are no longer wrong, then Tsinghua Peking University is fine.
5. Computing ability is an obstacle between excellence and excellence. In the college entrance examination, some small questions, solid geometry, series and analytic geometry all require high computing power. Only when students do calculations quickly and accurately can mathematics really reach the height that a master should reach, otherwise a lesson will be given sooner or later.
6. The mentality during the exam is extremely important. If you encounter a strange problem, once you get stuck, skip it immediately. The more you think about it, the easier it is to fall into the misunderstanding of knowledge, and it will also cause great psychological fluctuations and pressure, which will affect the normal examination. In addition, when you turn your head and think about this topic again, you will have many new ideas and new ideas, which may be suddenly enlightened.
7. Write correctly. Don't always want to go back and check it again. The college entrance examination doesn't give you time to check.
8. The most important point: All the intellectual gaps in senior high schools can be bridged and surmounted through hard work. No one is born to learn mathematics, and the final score on paper must be equal to your efforts. Here is a quote from my university teacher: "With your low efforts, you can't reach the level of talent competition."
The above are my experiences and suggestions during preparing for the exam. I hope I can help you. At the same time, I hope you can love mathematics more, travel confidently in the wonderful mathematics kingdom every day, and finally get the best results in the college entrance examination.