Learn Olympiad mathematics in high school, how to learn Olympiad mathematics well

If you have time during the summer vacation, I suggest you go and study.

Because although the high school Olympiad is about college content, there are many questions in the college entrance examination, especially some finale questions, which can be solved in a very simple college method. For example, if you can't think of scaling or don't have a suitable scaling method, and it is not appropriate to use mathematical induction, you can try to use university formulas, such as Qinsheng inequality, Cauchy inequality, and so on.

More importantly, although you want to choose liberal arts, many colleges and universities attach great importance to competition awards in their independent entrance examinations, and the competitions are mainly mathematics, physics, chemistry and computer science, which are more science-oriented. If there is a competition to win, then it is also to find another shortcut for yourself outside the college entrance examination.

Of course, all of the above is based on your ability to learn. After all, the college entrance examination still relies on the foundation, and there will not be many problems. The choice should be made according to one's own actual situation.

Studying Olympiad mathematics is not very helpful for science, but it is good to go to a prestigious university, but don't spend too much time on it, you can make up for your weaknesses in the summer, and after high school, you should spend a lot of time studying various subjects, and you can't fall behind at all, otherwise it will take a lot of time to make up for it.

Who said that if you don't study the Olympiad high school science, you can't keep up with others, our school has a score of more than 140 in every exam, and sometimes 150. I took the 150 test last time, in fact, it is enough to master the content of the book, at least the math will not be bad.

Not to ......Maybe it will be a little difficult at first, but after two months, it will be fine......If you want to study literature, you don't need to learn competitions, right......And there are many contents of the competition, and the college entrance examination does not involve ......

Learning should be based on cultivating interest, and only by cultivating a good interest in learning and developing good thinking habits in the early grades can we make faster progress in future learning. Olympiad mathematics is the embodiment of the comprehensive ability of logical thinking ability, calculation ability, comprehension ability, and memory.

1. Contact with Olympiad mathematics, interest first.

2. Find a favorite teacher for your child.

3. Use the most authoritative set of teaching materials.

Analysis of key and difficult points of learning: 1. Basic knowledge of clever calculation and quick calculation; 2. Recognize and learn to count all kinds of basic figures; 3. Learn simple enumeration; 4. The basic knowledge of number theory about odd and even, unequal and equal numbers, etc.;

1.When we learn Olympiad mathematics, we must first cultivate children's interests and hobbies, so it is very important for children to be interested in this subject when learning. Cultivating children's interest is to make children love learning, not parents insisting on children to learn.

But when it is time to complete this task, on the one hand, we need the guidance of parents, and on the other hand, we need our teachers' good teaching art, so that children like to learn this subject, which is the most important.

2.When learning, one is to learn to preview before class, before the teacher talks about new knowledge, students should carefully read the content to be learned, self-study example questions before class, and when reading books, they should use their brains to think. The second is to be good at solving problems, students' ideas often start from questions, and students' willingness to ask questions is the key to learning to innovate.

In addition, when studying, often ask questions, which can open up your thinking space and improve your problem-solving ability.

3.There is also to develop good study habits, cultivating good habits is the most important, but these are very helpful for learning Olympiad mathematics, when you are young, it is very important to develop good habits, and you will use them in the future, good study habits are of great help to learning, if you have bad habits it is difficult to change.

1.Armor. B has two oil storage tanks, A has less oil storage than B, and 1 6 of 1 4B is input into A, and the oil storage capacity in A is 2 tons more than B. How many tons of oil is B. B?

2.The factory organized 400-450 people to participate in the tree planting activities, with an average of 32 trees planted per person. On average, 48 trees were planted by male employees and 13 trees were planted by female employees. Men who participated in the tree planting. How many women are there? (Calculate the number of people in proportion).

3.Armor. Second. Warehouse C 3 has 120 pieces of disaster relief materials, A has 120 pieces, and B is A. The sum of the two warehouses of C, C is A. Half of warehouse B, how many pieces of disaster relief materials are there?

4.Armor. Second. A total of 500 televisions were installed in Group C3. Armor. The ratio of the number of assembly units in the two groups of B is 5:3, and C is 39 units less than B. How many units are there? (Assuming that C is installed with 39 more units).

5.Armor. The distance between the two places is 243km, and a truck and a passenger car are traveling from A at the same time. The two places set out, walked in the opposite direction, and met after hours. The speed ratio of a truck to a bus is 4:5, so how many hours does it take for a bus to complete the journey? (both methods).

x+1-a known function f(x)=---

a-x1.It is proved that the image of the function y=f(x) is a centrally symmetric graph with respect to the point (a,-1).

2.When A+1-2

1 It is easy to know that all numbers are added to the same probability, which is 1 n

The sum of these numbers is (n+1)n 2, then their average is (n+1) 2

This translates into the question of how many (n+1) 2s are added.

That is, the sum of each subset is (n+1) 2

And the set {1,2,......If the number of subsets of n} is 2 n, then there are 2 n (n+1) 2 added.

sn=[(n+1)/2]×2^n=(n+1)×2^(n-1).

s2004=(2004+1)×2^(2004-1)=2005×2^2003.

2 From the nature of the exponential function, if 0 s, then the combination of s and t should be 0,1 in turn; 0,2; 1,2; 1,3; 2,3; 2,4; 3,4 ..

Let p=2 ; then when n is odd, p=1; When n is even, p=2

It is easy to see that the nth combination of s=(n-p) 2; t=s+p.

From this, it can be seen that for, there is s=(5-1) 2=2; t=2+1=3.then a5=2 2+2 3=12;

for, there is s=(50-2) 2=24; t=24+2=26.then a50 = 2 24 + 2 26 = 2 24 (1 + 2 2) = 5 2 24

Note: a b is the b power of a.

A factory was busy with work in November, and did not rest on Sundays, and from the first day, the same number of workers were sent from the main factory to work in the branch factory every day, until the end of the month, there were 240 workers left in the main factory. If the workload of workers in the main factory at the end of the month is 8070 working days (one person working one day is 1 working day), and no one is absent, then how many workers are assigned by the main factory to work in the branch factory this month?

A: There are 30 days in November. From the inscription, it can be seen that the number of people in the main factory is decreasing every day, and finally it is 240 people, and the number of people per day constitutes an equal difference series, and it can be seen from the nature of the equal difference series that the sum of the number of people on the first day and the last day is equivalent to 8070 15 = 538 That is to say, there are 538-240 = 298 workers on the first day, and (298-240) (30-1) = 2 people are sent every day, so a total of 2 * 30 = 60 people are sent in the whole month.

First of all, it is necessary to make it clear that learning Olympiad mathematics is not for further education or other utilitarian things, but for interest. Otherwise, you won't be able to learn the Olympiad badly. Secondly, we should do more exercises, from shallow to deep, and summarize the rules.

It's important to learn to buy good books, but it's even more important to do it thoroughly when you buy a book. In addition, you should be good at asking for advice, you can ask the teacher for help. Too many cram schools are really useless.

Do what the teacher asks, I can guarantee that you can get a good score in the exam, as long as it is the teacher's requirements, make it concrete, work hard to complete, and you will succeed.