After the double reduction, many people have a vague concept of Olympiad mathematics. In fact, the Xi of Olympiad mathematics is not just for the purpose of choosing a school, people's thinking needs to be broadened through difficult problems.
Take the chickens and rabbits in the same cage bombarded by the Tsinghua professor on the hot search, the professor thinks that the chickens and rabbits in the same cage are not in line with reality, he said that he has lived 86 years old, and he has never seen a farmer keep chickens and rabbits in the same cage.
As a result, he was immediately slapped in the face by netizens. Directly posted a picture of the scene where farmers raised rabbits and chickens together.
There is also a former math scumbag who appeared to say:
I am a poor student who is not good at math and knows that this is a classic in ancient Chinese mathematics books. "Sun Tzu's Sutra" mentions, "Today there are pheasants (chickens) and rabbits in the same cage, with thirty-five heads on one and ninety-four feet on the bottom." Ask the pheasant rabbit about the geometry. ”
Indeed, the classic problem of the Olympiad of chickens and rabbits in the same cage is really not used by the teacher to scare Puwa, this problem appeared during the Northern and Southern Dynasties, and it was included in the "Sun Tzu Sutra".
At the same time, the solution is also given in this ancient book: "Thirty-five heads are placed on the top, and ninety-four feet are placed on the bottom." Half of its feet, forty-seven. Less to more. The idea of solving the problem of the ancients is called "leg lifting method", also called "golden rooster independence".
If the topics of the Olympiad are not realistic, then in addition to primary school mathematics, no matter how high-level mathematics Xi is, it has nothing to do with life, so there is no need to learn?
Olympiad mathematics, in essence, is the same as mathematics, not learning a certain knowledge point, but a kind of disciplinary thinking, mathematical thinking.
So, how to learn Xi Olympiad mathematics to really help the Xi mathematics?
1. Clarify goals and avoid blindness
Before you start learning Xi Olympiad, you first need to clarify your Xi goals. Is it to participate in competitions, improve math scores, or develop mathematical thinking?Only when the goals are clear can we better formulate Xi learning plans and choose appropriate learning Xi methods.
Second, from shallow to deep, gradually improve
Learning Xi Olympiad mathematics needs to be gradually improved from shallow to deep. You can start with the basic knowledge points, master the basic concepts and methods, and then gradually increase the difficulty to learn each knowledge point Xi depth. Don't go too deep at the beginning, resulting in not being able to grasp the knowledge points and causing frustration.
3. Be diligent in thinking and master methods
Learning Xi Olympiad requires diligent thinking and mastering some basic methods. For example, when solving geometric problems, you can use basic methods such as auxiliary lines, triangles, etc.;When solving algebraic problems, basic methods such as equations and functions can be used. Only by mastering these basic methods can you better solve complex mathematical problems.
Fourth, draw inferences from one case and integrate them
Learning Xi Olympiad mathematics requires drawing inferences from one case and integrating the other. In the process of learning Xi, we should be good at summarizing the rules and methods, and learn to summarize and sort out some similar problems, so that we can quickly solve similar problems when encountering them.
At the same time, it is also necessary to be good at integrating various knowledge points to form a complete mathematical knowledge system.
Fifth, do more practice Xi, consolidate and improve
To learn Xi Olympiad mathematics, you need to practice more Xi and consolidate and improve. Only through a large number of practice Xi can we better grasp the knowledge points and methods, and improve the problem-solving ability and thinking level.
At the same time, when doing Xi exercises, it is necessary to pay attention to choosing moderately difficult topics to avoid frustration caused by overly complex questions.
6. Find patterns and master skills
To learn Xi Olympiad mathematics, you need to find patterns and master skills. When solving some problems, you can apply some mathematical skills and rules, such as special value method, elimination method, etc., in order to find the answer to the problem faster.
At the same time, it is also necessary to be good at discovering and summarizing rules, so that similar problems can be solved quickly.
7. Pay attention to ideas and expand thinking
To learn Xi Olympiad mathematics, you need to pay attention to ideas and expand your thinking. When solving some problems, you need to think about the problem from multiple angles and expand your way of thinking.
For example, when solving geometric problems, you can start with spatial imagination, logical reasoning, etc.;When solving algebraic problems, you can start with systems of equations, analytic formulas of functions, etc. Only by expanding one's way of thinking can one better solve complex mathematical problems.
8. Communicate and discuss, learn from each other Xi
Learning Xi Olympiad requires exchanges and discussions, and learning from each other Xi. In the process of learning and Xi, you can communicate and discuss problems with classmates and teachers, and share your own methods and ideas for solving problems.
By learning from each other Xi you can better grasp the knowledge points and methods, and improve your problem-solving ability and thinking level.
9. Summarize in a timely manner, check and fill in the gaps
Learning Xi Olympiad mathematics needs to be summarized in a timely manner and filled in the gaps. In the process of learning Xi, we should constantly summarize our own learning Xi achievements and shortcomings, and adjust our learning Xi methods in a timely manner.
At the same time, it is also necessary to pay attention to checking and filling in the gaps, and to review and consolidate some knowledge points that are not solid enough Xi grasp in a timely manner. Only by summarizing and filling in the gaps in a timely manner can we better improve our mathematics scores and thinking level.