Cartoonist's Dream

On the morning of the 18th, the national finals came, and the participating teams ushered in a nutritious breakfast of "bread, steamed bread, meat porridge, soy milk" optional.In order to avoid causing pressure to the students, the organizing committee ordered the accompanying parents not to eat at the same table with their children. Any one parent present is enough to make it difficult for the children at the whole table to eat.

Parents think it is reasonable, for the sake of their children, they are very cooperative with the teacher's request.

After the meal, I didn't have a long rest. The bus of the Olympic Games Committee drove to the hotel and took the participating teams to the examination room of Jingyuan Middle School.At this time, the traffic jam in Beijing was not so serious. It took about 10 minutes to drive from Guangming Road on the Fourth Ring Road to Jingyuanzhong. At about 9:00m, all the participating students had arrived, and at 9:30m they entered the examination room 10 minutes earlier.

This is an exam comparable to the college entrance examination, and the students sitting in the exam room are basically regarded as the "No. [-] Scholar, No. [-], and No. [-]" in science in each city. At this moment, they are vying for the title of "National".

There are sufficient invigilators for the national competition, 288 students occupy each class in the junior high school, and there are as many as twelve classes in the first grade of Jingyuan Middle School.If it is a small city like Nanhua, there are only four classes in one grade, and I am afraid that even the classrooms in the high school have to be used as the examination room, which shows that the positions of the candidates are deliberately spread out. [

When the papers and manuscript papers are handed out, the previous test papers cannot be seen at the back, and the test papers on both sides cannot be seen in the middle, which prevents the possibility of candidates becoming giraffes.

Tick-tick-tick-tick... no pens allowed before the exam, the only noise made by the large quartz clock.

The impending final is counting down the seconds.

Jingle jingle jingle jingle jingle jingle! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! !

The frenzied ringing of bells played the march of the duel.

"Okay, let's start writing and answering the questions."

The teacher's announcement was obviously a little behind, and the students only recognized the ringtone but not him.As early as the bell rang, they began to calculate on the draft paper. In the silence just now, they were ready to solve the problem.In particular, Li Mu, who was warned twice to start writing in advance, was even more eager to write after the bell rang.

The basic knowledge paper is about 2πr, sπr^2, v13sh13πr2h, h3v÷s, the side length and area of ​​a circle, the volume and height of a cone, trapezoid, parallelogram... various formula variations and combined applications .There is not much problem-solving thinking required, but the amount of calculation is slightly larger.

最前面，第一题【1714285÷037÷27x17x07__________。】

How should students calculate this kind of problem?It really doesn’t require much thinking, so I can only calculate it hard. Anyway, I can figure it out sooner or later, but hard calculation is very time-consuming.

If you use your brain a little according to the routine, if you see decimals, turn them into fractions, or turn the entire formula into a decimal 714285*17*07 (037*027), multiply all by 100 to eliminate the decimal , it may be possible to reduce the calculation difficulty by a little trick.After some arduous calculations, the final result came out—【85085】

Continue to write the next question, which is still a disgusting decimal question——

【2 There are 34 even numbers. If you keep one decimal place, the result is 159. If you keep two decimal places, the result is _________. 】

If you don’t want to waste time on this kind of decimal calculation questions, then choose from ten numbers from 1585 to 1594, and use [keep two decimal places] to omit 1590, and the probability of guessing is 19.

Well, don't touch so many tricks.For those with strong computing power, directly use 159*34 to round and even, and then divide the four adjacent numbers by 34 to calculate it.

However, in the Mathematical Olympiad, everyone usually calculates like this: use the minimum and maximum values ​​to determine the range of integers, and only 1585 numbers in the range of 3453891594*3454196*540 meet the "even number".

54034≈【1588】

Fill it in and go directly to the next question...

If it is done like this - there is no doubt that the student did the wrong question! [

回过头拿542验算一下，542除34商≈15941≈159，因此【1594】也符合条件！答案是两个数【1588或1594】！

——This question will kill many people.

Limu wrote down the answer to [1588 or 1594].He didn't find the answer because he was very sensitive to numbers, but he didn't bother so much. Since the basic knowledge test was about computing ability, he simply used the second stupid method to calculate.

Don't miss out, concentrate on continuing to work on the problem

[The area of ​​the largest square drawn in the 6 sector is 30 square meters, find the area except the square]

"Area of ​​a sector", "Area of ​​a square", "Area outside"... Li Mu estimated that this question could widen the gap for many students.

There is no picture for this question, so I have to draw it myself!

Li Mu didn't bring a cloud ruler, but it was not difficult for him to draw a standard fan shape on the manuscript paper.If other students can't draw with ordinary rulers, they have to slowly construct a fan in their minds...

Li Mu's calculation ability is not strong, it can only be regarded as upper-middle; logic ability is not strong, but he has also learned software programming; compared with other students, his only advantage is problem-solving experience and mental concentration.

High concentration means seriousness, and serious work improves work efficiency.

His mental power of up to 14 points is running extremely fast!

Six and 10 minutes later, I finally finished all the questions. Submitting papers early in this national competition is different from pretending to be 13, and it is more shameful than selling yn!So he honestly checked the three sides of the test paper, and finally found two trap questions that were the same as the second question.

Can't help but sigh: Although the difficulty of the finals does not increase, the frequent traps are harmful.

******

What is even more harmful is the cheating lecture.After the primary school group took the exam, it took four to ten minutes to drive back to the hotel, half an hour to eat, one and a half hours to rest, and it took four to ten minutes to go to the auditorium of the examination room to attend the lecture shortly after waking up.

"I have so much free time and don't give my children a good rest, so I insist on engaging in this kind of formalism." Sitting in the corner of the student hall of Jingyuan Middle School, Li Mu complained.

"Uh-huh."

"Tomorrow, after the exam, I have to go sightseeing in the city, and the day after tomorrow is Tiananmen Square, museums, science and technology museums, and the Beijing University lecture hall ceremony... How do I feel that my life is being squandered by them?"

"Yeah yeah."

The girl sat next to her, and she responded to every word Li Mu said, no matter what she said, she nodded in agreement.

"Hey, don't put your face so close! You don't care, I don't care, and if you get so tired, be careful that you don't even have to be a 'confidant'." Li Mu pressed the girl's round forehead with both hands, and sucked the strength of the milk Return her to her seat.

This girl has suicidal tendencies, so she can't be too strict with her, but Limu doesn't want to be pestered by her all day because of her sympathy.No matter how you look at it, this trip has caused quite a problem.Fortunately, threatening her with words such as "confidant", "going home", and "moving to a foreign country" can temporarily achieve a certain deterrent effect. [

After Muzi sat down obediently, all the participating students settled down, played "Welcome March", and the leader took the stage... The lecture finally started.

Speech theory is very interesting to students and leaders.Every time, I repeat and repeat the history of the Olympiad, the spirit of the Olympiad, and the national situation of the Olympiad, and then explain the next winter camp and the International Mathematical Olympiad.In order to encourage students who will be selected and those who have no chance to be selected this time, they will also actively participate in future mo competitions... After that, the student representatives will give their speeches.

Obviously, it was not Xiao Limu's turn to be the student representative for the speech.After all, he had not received relevant notice before the lecture, and it was impossible for him to give a speech without prior practice.

Although it was not his turn to speak on stage, the host still frightened him so much that he was terrified.

"Next, I invite the student representative of Jiangnan Province, Wujun Muzi to give a speech on the competition, everyone is welcome!"

Li Mu turned her surprised eyes to the neighbor, and Mu Zi stood up solemnly, and walked to the stage from the aisle amidst warm applause.After trying twice, she took a deep breath and began to speak:

"First of all, I would like to thank my teachers. It is their teaching that allowed me to achieve such results. I also want to thank my classmates. It is the healthy competition between everyone that can make my math scores soar. I would also like to thank my family for their support and encouragement when I was in difficulty. They gave me the confidence to solve the difficulties. Finally, I would also like to thank mathematics, which brought me great fun and made me feel better. I have had the opportunity to stand here and speak..."

No wonder she is wearing a school uniform today.

Li Mu was annoyed at his own hindsight, and a very bad feeling kept popping up from the bottom of his heart.

The speech representative of Jiangnan Province is obviously Muzi.Mathematical Olympiad has always been adhering to the tradition of "selecting the best", "girls first" and "foreigners first".Muzi tied for first place with him, she is also a girl, and has a foreign name...

"Thanks to my dear classmate Limu"

When Muzi mentioned herself, Li Mu immediately showed a bitter smile of "it really is", and her annoyance and worry instantly turned into reality.

"Thank him for the 'beep' conversations with me in the past, thank him for saving me by 'beep' on the plane, and thank him for 'beep beep beep' at night..."

Although she spoke quite well, there was nothing wrong with her words, and it was all about close friendship.But Limu's brain still automatically filters information related to herself... In fact, except for a small part at the beginning and the end, she almost introduces her neighbor Limu.

The students who were already almost sleepy were moved by Muzi's legendary experience, and from time to time cast admiring glances at Xiaodou Sprout next to her.

(This kid is a fierce man who dares to do artificial respiration when others are throwing up!) Hmm... probably the eyes full of this meaning.

Muzi's delay in giving a speech and being pulled off the stage became the second episode of this trip.The lecture took the students two hours, and the return journey took another four to ten minutes. The progress of the competition was a lot messed up by a lecture.

******

The next day, the thinking ability test.

If it is disgusting to put traps in the basic knowledge test, then it is commonplace to put traps in the thinking ability test.The second test of the Mathematical Olympiad final is undoubtedly the stage that can widen the score gap the most.

The teacher who wrote the question is confident that he can stump many people in the second test paper. It is definitely no problem to fill in the blanks randomly, but it is a bit difficult to get a score of more than 40%.The second test paper can pass half of the candidates, and this half of the students will get the bronze medal.Those who get 40%~60% of the score are probably silver medals, and the students who get more than 80% of the score can be said to be very rare, and the students who get 90% of the score are almost unique!

Just as there was no full score in the previous year, and there was no full score in the previous year, there will be no full score this year!

But there happened to be one person among the contestants. He had rich problem-solving experience, and he also had a problem-solving method and problem-solving thinking that included the four stages of elementary, elementary, advanced, and senior...