High School Math Olympiad, High School Math Contest Questions

It's estimated that it will be full in 2 months, but you can still participate in the third year of high school.

I'm from Jiangxi, and I feel that the high school Olympiad is much more difficult than before, far more than textbooks and even competitions like the Hope Cup. The preliminary round is held in September every year, but there should be a knockout round in the province before that.

The teaching materials are almost the same, so let's slowly break through a knowledge point.

My biggest headache is analytic geometry, and God is stupid for him to calculate 4 or 5 pieces of paper at every turn.

I am also from Fujian, as long as I work hard and add talent, I will definitely be able to succeed, but according to my years of learning experience, mathematical talent accounts for a large factor!

I'm from Zhejiang, I have won the Hope Cup in the Math Competition! I recommend that you find out where you are participating in the competition first! Then go to the bookstore and buy the feature you participate in the contest to do! If you don't understand, ask the teacher immediately! It should be too late!

You will find out if you draw the route of the next 6 times.

After 6 movements, both ants returned to point A.

And their routes of movement are determined.

Therefore, the 2011 paragraph only needs to look at the remainder obtained from 2011 6, and the remainder is 1

i.e. white at A1 and black at B.

a1b = 2 units of root number.

That's it!

It's a cyclical problem, and every 6 steps you go back to point A.

So in the end, the black ant is at point B, the white ant is at point A1, and the distance is root number 2

The period is 6, and after the 2011 section, the white ant is at point A1 and the black ant is at point B, so the distance between the two is root number 2

- High School Math Olympiad League.

It is no exaggeration to say that choosing a good competition teacher determines more than half of the success of the competition road, because a good teacher can help you avoid 80% of detours. So how do you choose a good competition teacher? I'll give you a few suggestions:

1) The first is the lecture, and the students should judge for themselves whether the teacher's lecture is useful to them. It's not that a big-name teacher is necessarily good, you have to judge for yourself, is he inspiring my thinking? Did he tell me why?

These are very important for the start of the competition, some teachers are just talking about knowledge, or just talking about the answers, and then tell you that it is obvious that you should have done it, and you will not be the ...... of your problemSuch a teacher is harmful to beginners in competitions, and the first prize he teaches is, frankly, even if it is self-taught, the first prize.

2) The second is strategy, did he show you a practical path to the first prize. If you have a road, you may not be able to win the first prize, but if you don't have a road, isn't it even more hopeless?

3) Then there is communication, it may be more accurate to teach the competition not so much as the teacher, but the coach. What is Coaching? It is to communicate with you, grasp your state at any time, take you to train, take you to recovery, and then take you to start ......There are hundreds of people in some competition classes on the market, and many people are destined to just listen to the excitement, be a sparring partner, and play soy sauce.

Summary: In addition to how to do the questions, what you need more is the idea of doing the questions, the strategic and tactical guidance of the learning direction, and a gold medal coach. Think about Lang Ping, Liu Guoliang, and Ma Junren to understand. And in the competition, mathematical ideas "problem-solving skills" competition knowledge.

I am Yan Huazhou of Jia Ente, and I strive to objectively restore the truth of the competition.

This is because you follow the stereotyped thinking of middle and high school, so the more you learn, the more difficult it becomes.

You can first read some math books that teach the right of thinking methods, and you need to add some junior high school competition knowledge. For example, if you don't master the ideas and skills of solving problems, you can start learning, which is a great obstacle to understanding the knowledge points.

Knowledge points such as factorization and plane geometry will not be taught separately in high school textbooks, and if you want to improve, you need to find more corresponding books, learn and analyze them, and deepen your understanding of knowledge.

The need is to always tie the knot method.

Personally du feel mathematical.

The idea of solving the problem is to follow the rules like plane back geometry is to answer the auxiliary line by yourself Several methods of the auxiliary line are summarized by yourself The tactics of the sea of questions are generally not suitable for the competition The competition is mainly about methods and skills Think more and analyze more, but you still have to contact the questions a lot, you can not do it, but you must think about the method of each question first, and then compare your ideas with the answers to see where the difference is.

You can find your own information to contact this, such as the 'Hope Cup' nationwide can participate.

Now summarize the experience and do the questions independently.

I really don't vomit.

The quality and quantity of the division's lectures are ......It's good to be able to barely understand, and I'll tell you that I played for a year in my freshman year of high school......It's enough to read the questions a few more times and then understand how to do it, and slowly you can also do some problems with those broken things (flat a few waste firewood, number theory waste wood, algebraic waste wood, combined waste wood passing by) (I won't tell you that teachers often say "I can't think of it if I think" after writing the answer).

Also, hurry up and brush up on the high school math textbook now Compulsory 4 Compulsory 5 is now free Elective 2-1 2-2 next semester is free But you have to come to me

I am a sophomore party ......said that the teacher who teaches algebra in the second year of high school is super loving, should you skip class on Thursday to listen?

Olympiad Classics (I recommend you buy a set, five copies): Algebra Problems, Geometry Problems, Combinatorial Problems, Number Theory Problems, Analysis of Past Questions.

Hunan Normal University Press).

Wu Renfang (this person is almost, there is only one title: competition expert).

1.Quickly complete the content of the college entrance examination mathematics search Bisen, and do the real questions of the provincial college entrance examination for one year;

2.High School Mathematics Competition Training Excellence Course (One Try) Seriously Push It Again; In the middle can be interspersed with provincial preliminaries questions, there is a book that contains the preliminaries of the provinces and the national league questions, and go to imo a publishing house, the name forgot (:

3.Little Blue Leather (Math Olympiad Small Series 2nd Edition), this set of books is very, very high. Except for functions and functional equations (2) and geometric inequalities (9), the rest are very suitable for the second test of the league and the simpler CMO questions.

Among them, number theory needs to be at least twice, don't look thin, after eating through each question in this book, you can basically kill the number theory of the second test difficulty, of course, if you are not confident in your understanding ability, you can find other number theory tutorials, but it is highly recommended to brush this number theory again at the end.

4.If it goes well, this time should be in the sophomore league and go for a try.

5.Depending on the results, you will decide whether to continue your studies or not, and if you continue to study, it will definitely have a little impact on the college entrance examination.

Keep learning:

6.Selectively brush up on high school competition lectures. (One set of blue skins and one set of red skins, the content is complementary).

7.Be mentally prepared to start brushing up on the Intermediate Mathematics Supplement 1, as well as moving towards IMO topics other than the National Training Team and IMO, at least 1 book of Supplement 1, and more than 5 books to IMO recommendations.

8.Then check and fill in the gaps according to your own situation. Remember that before the league, it is best to do the league questions and mock questions, and you must have them for one try and two attempts.

If you get a CMO ticket:

9.Medium Mathematics Supplement 2, at least two copies, the habits of each country are different, and the questions that are not right at first glance can be skipped.

10.Continue to check and fill in the gaps, you can pick up the little blue skin that you haven't seen and look at it. I haven't done the Olympiad classics seriously, and it seems to have a good reputation.

11.CMO imo papers, at least 10 years old.

Because a=b*8 7 so a>b

Because a=c*7 8 so ad>a

Put formula *504

504a=576b=441c=448d

So c is greater than d than a is greater than b

Solution: Set 1 spectator per minute at each entrance.

The number of spectators who entered from 9 a.m. to 9 p.m. was:

3 9 = 27 (parts).

The number of spectators who entered from 9 a.m. to 9:05 a.m. was:

5 5 = 25 (parts).

The number of spectators who came before 9 o'clock was:

27-25) (9-5) = servings).

The number of viewers per minute is:

27-9 servings).

Or: 25-5 (portions).

These audiences come to need:

minutes) 9 a.m. - 45 minutes = 8:15 a.m.

So, the first spectator arrives at 8:15.