What are the skills for doing Olympiad problems, and the methods and skills for solving Olympiad pro

Pay attention to the formation of habits.

To develop good study habits, first of all, students need to have a correct understanding of this issue, and some parents often mistakenly think. As long as the topic is understood, it doesn't matter if there are some small mistakes. The result of this often encourages the habit of carelessness on the part of students.

In the Olympiad problems, a small mistake is often fatal.

If a student makes a mistake in doing a question, we should take it as a good opportunity to educate students, guide students to find out the reasons for the mistakes and continue to accumulate them, which is knowledge-oriented and should be kept in mind. It's habitual and needs to be corrected. I believe that over time, good habits will be formed.

Pay attention to each link of the topic.

Some Olympiad problems have many steps, and many students have mastered some of them and think that there is no problem, but it is precisely some important links that have not been seriously considered, and they only know what they are, but they don't know why. This will inevitably cause a disconnect in solving the problem, and sometimes it is this little anthill that destroys the embankment of thousands of miles. Therefore, it is important for students to develop the habit of being rigorous and realistic.

Parents can ask students to do this"Little teacher"Take the time to let them talk about what they have learned to see if they can talk about it well. It's a workout for them, and it's also a kind of push.

Skills are gradually formed through practice.

At the end of a lesson, there are some difficult topics that students often just understand. And it's not yet ripe for them to use what they've learned to solve real problems. This requires them to turn what they have learned into skills.

Targeted practice is the best way to solve this problem. Practice questions should not be the same, as this will lead to rote memorization and a single method.

When choosing a topic, you should pay attention to both slope and breadth; We should not only pay attention to the practice of existing knowledge, but also pay attention to using the knowledge learned to solve practical problems; It is necessary to pay attention not only to the accumulation of basic knowledge, but also to the deepening and improvement of knowledge. At the same time, it is necessary to grasp the degree of goodness, and do not make students rebellious because of too many topics.

There are skills in doing Olympiad math problems. 1.2. Quickly find out the knowledge points that can be used according to the topic.

Hope, thank you.

The methods and skills of solving the problems in Olympiad are as follows:

1. Intuitive drawing methods and skills: When solving Olympiad problems, if you can display the Olympiad problems intuitively and vividly with the help of points, lines, surfaces, graphs and tables, and visualize the abstract quantitative relationships, it will be easier for students to understand the quantitative relationships, communicate the connection between the "known" and the "unknown", grasp the essence of the problem, and quickly solve the problem.

2. Backwards method and skills: Starting from the final result described in the question, use the known conditions to push forward step by step until the problem in the question is solved.

3. Enumeration methods and skills: There are often some problems with very special quantitative relationships in Olympiad problems, which are difficult to solve by ordinary methods, and sometimes the corresponding equations cannot be listed at all. We can use the enumeration method to list the data that basically meet the requirements one by one according to the requirements of the question, and then select the answers that meet the requirements.

4. Positive and difficult methods and skills: Some mathematical problems, if you have difficulty considering from the positive side of the condition, then you can change the direction of thinking and consider the problem from the opposite side of the result or problem, so that the problem can be solved.

5. Clever transformation methods and skills: When solving Olympiad problems, we should often remind ourselves whether the new problems encountered can be transformed into old problems to solve, turn the new into the old, grasp the essence of the problem through the surface, and transform the problem into a familiar problem to answer. The types of conversions include conditional conversion, problem conversion, relationship conversion, and graph conversion.

6. Overall grasp method and skills: Some Olympiad problems, if considered from the details, are very complicated and unnecessary, if they can be grasped from the whole; Macroscopic consideration, through the study of the overall form, overall structure, and internal relationship between the part and the whole of the problem, we can only see the forest and not the trees, so as to seek the solution of the problem.

1. Direct push method.

It is to directly analyze and reason, use relevant knowledge to directly analyze the problem, calculate the result after derivation, and finally make correct analysis and judgment. This is the most basic, most commonly used, and most important method.

Applicable question type: This method is generally used for multiple-choice calculation questions, and this method is also commonly used for other questions.

2. Reverse deduction method.

The reverse deduction method is the reverse deduction or reverse substitution method. The inverse method is to reverse the conditions by the options (i.e., the options of the multiple-choice questions), and the options that contradict the conditions are excluded, and the ones that coincide are the correct options, or one or several options are substituted into the question conditions in turn for verification and analysis, and the ones that coincide with the question conditions are the correct options.

3. Counter-example law.

If an option is a proposition, sometimes a counterexample is all it takes to exclude the option or to state that the proposition is false. Counter-examples are usually given with some commonly used, relatively simple but illustrative examples. If you pay proper attention to accumulating different counterexamples related to each knowledge point when you are reviewing or doing questions, it may come in handy in the exam.

4. Special value method (special case method).

If the question is a proposition with a general character, you can try to take one or several special cases and special values to verify which options are true, which are false, or which are highly likely to be true or false, so as to make the right choice.

5. Counter-evidence.

If a contradiction can be introduced if one of the four options in a multiple-choice question is incorrect (or correct), it means that the option is correct (or incorrect). Choosing which option to start with is a matter of analysis and judgment based on the conditions of the question, and may sometimes require some intuition.

6. Combination of numbers and shapes.

Draw the corresponding geometric figures according to the conditions, and analyze them in combination with mathematical expressions and figures, so as to make correct judgments and choices. This method is often used for multiple-choice questions related to geometry.

7. Exclusion method.

If 4 out of 5 options can be excluded by one or more methods, the remaining one is of course the correct one, or 3 out of 5 options can be excluded first, and then the remaining 2 will be judged and selected.

There are many articles on Olympiad problem-solving techniques, which are very important. Skills are important, the cause of the mistake is actually very important, and it is necessary to carefully analyze the mistake and find out why, such a mistake is the most meaningful.

Mistakes are bound to occur in the process of solving problems, and mistakes are not necessarily expected, so only the more common types of errors are analyzed below.

1) Tampering with data.

There is a kind of mistake, it is the eyeball that tampered with the question, and people often make this mistake, either reading the numbers wrong, or reading the conditions of the question wrong, and some exam questions may be very similar to the questions that have been done, that is, this kind of mindset is the most terrible, it will lead you to the wrong up. This will cause carelessness, which is why many students can make the kind of difficult questions that they have never seen before, and they are very accurate, but they make mistakes for some common question types. That's a big loss.

Coping strategy: For this kind of mistake, we should pay attention to the subtleties from the usual, and develop a good habit when doing the questions, and I believe that you should not make it when you get the exam. The examination questions must be carefully seen, what are the data, what are the conditions, and what is the relationship between the conditions and the conditions, and the students usually do the questions to develop the drawing, list the conditions, and remember the data, and it is best to use the pen concisely to reflect the conditions given in the question on the straw paper.

If you accumulate a lot, you will be relaxed during the exam.

2) Answering questions that are not asked.

I believe that many people have made this kind of mistake, and they have made it many times. When people ask how much A is less than B, they answer how much A is, and so on. This is always called sloppy, and there is no sloppiness in the eyes of the teacher, only right and wrong, sloppiness is also wrong, sloppiness just won't.

Coping strategy: Some questions are deliberately designed to make people easily misunderstood and sloppy, so you must be very calm when doing the questions to analyze the questions and clarify the meaning of the questions. Don't get carried away just because you seem to have done it before, from childhood to adulthood, adults always teach that the more bad the person, the more you disguise yourself as a good person.

The question is the same, very good at camouflage. It seems simple, but there are generally a lot of articles, so be sure to use your vigilance to find the "article" to do there.

Be careful to sail the ship of ten thousand years.

iii) Calculation issues.

Some students just fail in number crunching, and there will be loopholes and mistakes as soon as they calculate.

Coping strategy: This kind of mistake is easy to correct, for a problem, whether it will or will not is the fundamental problem, and accurate calculation is the basic problem. Obviously, you will get the question, but because of the calculation error, the final effect will not be the same. In response to this problem, only to carry out it seriously to the end is the king, and it is necessary to practice more often.

If you look at the question, your heart looks at the question, and your brain looks at the question, it must be fine.

4) Lose three and lose four.

Some questions with a large score weight are generally more than one question. The admissions exams of key middle schools also prefer this kind of questions, and this kind of question often has students who forget this and forget that.

Coping strategy: Accumulate at ordinary times, be serious at the time. - Eight-character mantra.

5) Sloppy. The last item is hidden in all aspects. There are factors in the above four points. The reason why I put it up alone is to deepen everyone's impression.

Preview before class, preview after class, and use your brain when you do it.