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Orsay Mathematical Classics
As for theorems, plane geometry and algebra involve many theorems. I list them separately:

1. Pingji: Olympic Classics by Hunan Normal University Press. Geometry volume, which introduces all commonly used theorems and a large number of examples and exercises. The Complete Collection of Proof Methods of Plane Geometry (edited by Shen Wenxuan) published by Harbin Institute of Technology Press provides more theorems and conclusions, which is very beneficial to have a look.

2. Algebra: Advanced Course of Mathematical Olympics, Hunan Normal University Press (Jun Ye). This is almost the best algebra book with complete theorems and conclusions. As a supplement, you can look at the Orsay classics published by Hunan Normal University Press. Algebra volume.

3. Combination: This piece does not need too many theorems. Hunan Normal University Press "Orsay Classic". The combination volume (written by Professor Zhang Yao) is a very good combination book, which contains comprehensive theorems, conclusions and questions. Regarding the comprehensiveness of the theorem, I don't think it is necessary to read other combination books.

4. Number Theory: Teacher Yu's "Number Theory in Mathematics Competition" is an excellent introductory book, which is very thoughtful. Theorems, conclusions and so on are also complete. Then you can read a book on number theory (written by teacher Feng) in the lecture of the proposer of the math contest, which is more difficult. If you are demanding of yourself, or have a special interest in number theory, recommend Elementary Number Theory (written by Professor Pan Chengdong), which can kill 90% of teachers in 3/4 seconds.

As for what reference books to read, many have been recommended above. Here are some examples:

1. Try it: 5.3. Yes, it is 5.3. Try the high-scoring artifact. Zhejiang University Press, A Course for Training Excellent Students in Mathematics Competition (Trial) (Professor Li), these two books have almost been written in one attempt. Of course, I have to do some simulation questions.

2. Try again:

1) geometry. Triangles and geometry (fields) are difficult. You don't have to read it all. Just read the first four chapters. After understanding, my skills have been greatly improved. Geometric Transformation (Professor Xiao Zhengang) is a very good book, just like transformation. If the transformation is good, you can look at these two parts first.

2) Algebra If you can finish reading the book I recommended earlier, you will already be excellent. On some topics,

1 Inequality: Monograph on Algebraic Inequality (Professor Chen Ji) is a series of lectures on proposers of mathematical competitions, which not only introduces the Schur split, but also introduces the stronger Milhyde. It is also good to have two blue books, so you can have a look.

Polynomial: The teacher wrote a book about polynomials. I can't remember the name, but it's very good. You can check it. Teacher Jun Ye's book (which I mentioned before) is also very good in this part.

3 Combinatorial identity: Professor Shi Jihuai's "group identity".

3) Combination: Teacher Feng Yuefeng, combination extreme value. Yu's combinatorial geometry "Argument and Structure".

4) Number theory: You can see the Orsay classics published by Hunan Normal University Press. Algebra volume as a supplement.

Description:

1) If your level is high enough, go and see Professor Shan Zun's math contest research course, which is extremely classic. At the suggestion of Professor Leng, I did it twice that year and gained a lot.

2) You can buy the national team-level questions in Towards IMO, but it is recommended to start with a good foundation.

3) Mathematics for Middle School sponsored by Tianjin Normal University is a very good publication, and it is recommended to order it. I watched it for four years.

4) The Lecture on Proposers in Mathematical Contest is a good set of books. I only found a few when I participated in the contest. There should be many by now. I suggest you pay attention to them. I highly recommend them!

5) Pay more attention to foreign competition questions. China's problem-setting level is not the highest, and Russian, American and Vietnamese math contest questions are of great reference value.

6) Do more simulation questions. Professor Li once told me to complete 80 sets of simulation questions. Actually, it's not enough We did 120 sets of questions at that time. Of course, the real question is also very important.

These are some of my experiences. There is no shortcut to learning math contest. Only by practicing more, thinking more, experiencing more and trying more can we make progress. Classic: Pingji: Orsay Classic Hunan Normal University Press. Geometric volume

Algebra: Advanced Course of Mathematical Olympics. Hunan Normal University Press (Jun Ye)

Number theory: the number topic in teacher Yu's mathematics competition

Combination: Professor Zhang Yao wrote a book in the Blue Book Collection of East China Normal University.

The four books I recommend are relatively easy to "crash", but they can only deal with leagues. In fact, there is no shortcut to math competition, only thinking more and training more. Thank you for your adoption!