What is it like to do Olympiad problems?

Some people will ask you why you think this way, what do you think, I want to say, the process of thinking may not be very clear sometimes, because thinking is like this, please look at the picture!

Therefore, we must cultivate this kind of thinking in children, so that he can become a top student, sometimes science also needs this kind of thinking, and scientific discoveries are sometimes sudden! Is the Olympiad useless, I feel useful, I feel useless, it's because you learned the wrong way, memorized a bunch of formulas, that's not learning the Olympiad!

The feeling is a special test, the feeling of intelligence, and every time you do a question, you have a special sense of accomplishment.

It's brain-burning and a challenge, but it's a great sense of accomplishment after making it.

You have to have enough knowledge, skills and a sudden flash of inspiration to turn a corner in the question (of course, it is not excluded that very smart people can do it without learning). Some puzzles may require a turn to solve. Sometimes if you think wrongly, you will find that the topic is getting more and more difficult, and you get stuck.

Of course, it's fun to do competition questions, after all, it exercises the mind.

I think doing the Olympiad is to find myself an uncomfortable experience.

It is said that the prompt is particularly boring, experienced, and then there are many ways to solve the problem to consider.

Yes, I am very excited to solve the problem, and I have a sense of accomplishment after doing it.

It's purely an experience of having nothing to do, leaving the Olympiad to do language, history, politics and geography, and I feel that the pen is lively.

The Olympiad is a catastrophic injury for a scumbag like me, and I can't do a single question in a day.

Whenever I make an Olympiad math problem, I feel that the middle school math textbook is too boring.

For me, it feels like reading a book from heaven, because math is really my shortcoming.

When I teach students who don't do well in math, I often encourage them to learn Olympiad math first, from easy to difficult.

It's very rewarding and I enjoy doing it.

Scribble the answers, but don't leave them unwritten.

When I was about to faint in a circle, the question was done.

A liberal arts student like me is probably just looking at what I don't understand, and I can't see anything.

In fact, if you want to learn Olympiad mathematics well, you must first be interested in mathematics and be sensitive to numbers! General mathematics is divided into several large parts: probability, sets, geometry (including solid geometry and plane geometry), functions, inequalities, vectors, sequences, etc., and there is a line that runs through the whole is the function, almost all mathematical knowledge is related to functions.

Of course, each direction is different, and the learning methods are different, but in general, they all need to do more questions, but the purpose of doing problems is different, some rely on doing problems to memorize formulas (such as probability, sets), and some rely on doing problems to accumulate methods and ideas for solving problems (such as inequalities, number series). In short, do more questions, accumulate more methods, and learn to integrate them.

You're a high school student, right?! There is still a shortcut to the Olympiad, that is, to use advanced methods to solve elementary problems, the Olympiad in middle school is basically a primary problem, and there are fewer advanced problems, so you can learn a little more advanced mathematics in college, the upper volume can basically be understood, and the next volume is a little difficult, but the upper volume is enough, there are many classical formulas and theorems, and it is very simple to solve elementary problems, and even many of the last questions in college entrance examination mathematics are in advanced mathematics.

There are also some more flexible, unconventional and closely related to the reality of life, that you have to rely on your own way of thinking and inspiration to deal with problems and solve problems, maybe a very simple problem is not able to think of an answer. For example, as you said: there are three bags, full of small balls.

There are "red", "white", and "mixed" notes on them, but the balls inside are completely different from those written on the bag. Now, you are only allowed to touch a ball in one of the bags, can you immediately deduce the color of the balls in the other bags?

Obviously, you have to look for their commonality or a special thing in this question, that is, the mixed bag, which is not a mixed ball, take one, if it is a white ball, then the white bag is a red ball, and the red bag is a mixed ball; If it is a red ball, then inside the white bag is a mixed ball, and inside the red bag is a white ball. It's as simple as that, and this question is easy to use the enumeration method, red, white, and mixed bags one by one.

Looking for answers ?

A basket of eggs: Take them one by one, just finished.

2 2 take, 1 left.

Take 3 of 3 and take it just over.

4 4 take, 1 left.

5 5 take, 1 left.

6 6 take, 3 left.

Take 7 7 and take it just right.

8 8 take, 1 left.

Take 9 of 9 and take it just over.

Q: How many eggs are in the basket?

1 1 is just finished, 3 3 is just finished, 7 7 is just finished, 9 9 is just finished, and the number of eggs in the box is a multiple of 4*9=63.

2 2 take 1 left, 5 5 take 1 left, and the single digit is 1.

So find 37 ...... from the following numbers

So the minimum number is 441.

1. According to (93+8)x7=837, it can be concluded that 8 is not 0.

2. According to 8x8=8, 8=1 or 0 can be obtained, and 8 is not 0, so 8 is 1.

3. According to 9x3=3, we can get 9=0 or 3=0, and then according to 9x9x9=5, so 9 cannot be 0. So 3 is 0.

4. According to 9x9x9=5, it can be concluded that 9=0 or 1 or 2, because 9 cannot be 0, 9 is not 0 and 1, so 9 is 2.

5. According to Article 4, it can be concluded that 5 is 8.

6. According to (93+8)x7=837, substituting the above numbers can get 7 as 5.

It doesn't matter if he is an Olympiad or not, it scares you! Draw a circle first, and I'll give you an analysis: Xiao Ming takes 10 minutes to get from point A to point B, and the sum of Xiao Ming and Xiao Qiang's 6-minute journey is also ab.

From the first encounter to the second encounter, it took exactly one lap and 12 minutes. In other words, the length of AB is just half the average length of the whole journey, and it takes 20 minutes for Xiao Ming to circle around the circle. Answer:

Let Xiao Ming's speed be V1, Xiao Qiang's is V2, the whole process is S, ab=6(v1+v2)=10v2 and s=12(v1+v2) Therefore, s=2ab=20v2 Xiao Ming's circle takes 20 minutes.

Summary. Because if you put a pot every 5 meters, put 5 pots in the middle is 40 meters. 6 pots is 50 meters. Two sets are included. In other words, there should be 6 pots on one side of the corridor, and a total of 12 pots on both sides.

These questions help to answer.

Question 1 is 12 potted flowers.

How to calculate the process is also written.

Because if you put a pot every 5 meters, put 5 pots in the middle is 40 meters. 6 pots is 50 meters. Two sets are included. In other words, there should be 6 pots on one side of the corridor, and a total of 12 pots on both sides.

Calculation process. Question 2 is that 41 trees have 20 blanks, and each empty 5 trees is 20 5 = 100 trees, because there are two rows that are 2, multiplied by 100 = 200 trees.

The third question is 80 8, because it cannot be planted on the edge of the two floors, so it should be reduced.

The calculation for question 2 is 41 2=

Question 4 1If planted at both ends, it is 45 5 = 9 + 1 = 102If only one end is planted, it is 45 5 = if both ends are not there. 45÷5=9-1=8

Summary. Send it to me to see.

There are a few problems that I don't know how to do.

Send it to me to see.

Make sure the questions are correct.

I'll have to write about the calculation process.

Good. I don't know how to ask that.

I'll give you an example.

Good. A line segment is divided into two segments.

A few points. Three points.

It would be better if you could draw the picture together, thank you.

Can't draw, too much.

Too much. To understand this, the method is to divide the three points.

It's the same as planting a tree.

=（=10-7==

256 254/255 1/255 = (255+1) 254/255 1/255 = 255/254 + 254/255 1/255.

and seven-eighths 75 ) 3 and a quarter.

1067 Quarter 2 and half 25% = 67

257 and 3/5 1/50 minus 36 26% =

Twenty and three-fifths

Another half

Well, that's what Brother Ren said!!

These are all regular questions, where are the Olympiad questions.

1.Choose a good Olympiad book (such as "Hua Luogeng Mathematics Training Course", "Magic Mathematics", "Mathematics Olympiad Course").

2.Stick to a certain number of questions every day, and prepare a mistake book to sort out the mistakes.

3.Do some comprehensive practice papers every once in a while.

In fact, doing Olympiad math problems is very simple, he is not as easy as the usual questions to sort out the relationship, from the surface of the relationship is not to do, the main thing is not to solve the problem according to the usual way of thinking, from another angle, in fact, it is very simple, this method I used from the fourth grade to the first year of junior high school is still the same.

Do easy, medium, and difficult questions, all three types of questions should be done, and the ratio should be controlled at 3:5:2 After the beginning of the fifth grade, you should insist on doing about ten questions a day.

Improve the speed of children's problem solving, according to the difficulty of the problem each time limit 40-60, mainly for the "weak" links of children's learning.

It is necessary to start from the basics and analyze various knowledge points, so that when you are proficient, you can do the questions faster and faster. The Olympiad measures the ability to react, that is, the speed, as long as you are proficient, the speed will naturally be fast, so you should be diligent in doing the questions.

It is necessary to do more questions, it is necessary to analyze carefully, and it is necessary to summarize and reflect on yourself.

There is no diamond, no porcelain work, I think I can go up, I can't go down, and it's not bad to be a writer.

1. When doing the question, first review the question, like solving a case, find the clues of the question first, and start from here after finding it!

2.Buy some books about this kind, cover the answers, and see if you are doing it right, if you are right, if you are right, look at the answers and explanations! Thank you.

How to do the problem: use the equation first, the equation does not use the equation, and the equation does not use the hypothesis.

Use your ingenuity and study hard.

Every 100 seconds, there is only one light on. Or 99 pcs. (I am a little uncertain about the understanding of the topic).

Because at the 100th second, only the last bulb, which is the 100th bulb, is numbered in multiples of 100.

Or it can be understood that at the 100th second, there is only one that goes dark, and there are 99 that are lit.

Solution: After X years, mothers are three times as many as daughters.

3[6+x]=38+x

18+3x=38+x

3x-x=38-18

2x=20x=10

A: After 10 years.

10 years It's so simple to list equations, how to learn mathematics, mathematics is not to think about equations, I see you have learned in vain.