Before returning to the college entrance examination, I became popular in the science circle

After Teacher Zhang led Wu Tong into the school, he took her to the resting place tonight.

"This time I went to Hainan to participate in the competition. The provincial team has a total of ten people participating, and they are also the top ten in the provincial competition. Two from the first middle school, three from foreign languages, plus you and two from other urban areas, are temporarily staying here in the youth teacher's apartment. Temporary stay, two of the No. [-] Middle School will live in their own dormitories!"

"The apartments are for two people. Your roommate is named Feng Yueyue. She comes from Shangdu Foreign Languages ​​College and is also the No. 2 in this league. She has moved in early. You and Feng Yueyue are the only girls selected for the provincial team this time. !”

Teacher Zhang gave Wu Tong a brief introduction to the basic situation of the provincial team as he walked.Although the number of provincial teams this year is still positive and negative, with boys accounting for the majority, but the top and second places are dominated by two little girls, so no one dares to underestimate them.

Feng Yueyue performed well in the provincial team training session a week in advance, outperforming all the boys in the training class.She is educated at home and has received Olympiad training since she was a child. After being trained by the provincial team, she has obviously made a step forward compared to the math league. She is also one of the provincial seed players to compete in the national team this time. The teachers in the training include the provincial mathematics team. The society is very optimistic about her, she is their direct descendant.

Wu Tong took the first place in the provincial competition with a full score, showing her absolute excellence, but she didn't come to the training in advance, some teachers and members of the academy were somewhat critical, thinking that Wu Tong came from a small place, and she was proud and complacent if she got a good grade in the exam of.

However, in the follow-up training, they faxed the past questions, whether it is the simulated real questions of the CMO of the previous national competitions, or the real questions of the International Mathematical Olympiad IMO, nothing can stump this girl in the communication.

If someone has this level, it doesn’t mean much whether he comes for intensive training or not!Really talented players cannot be created by their cramming!

In his heart, he was more optimistic about Wu Tong!In this year's number competition, it's not just anyone who can score perfect marks, widening the 2-point gap from No. [-] in the province!

Moreover, according to the records they retrieved afterwards, the additional test contained over-the-top questions, and the girl was able to submit the paper two hours in advance, proving that this year's questions were difficult, but compared to other candidates, this girl could not be stumped, and her math skills were very likely to be difficult. I have started to learn college textbooks, and I have a thorough understanding of the high school foundation!

"I also live here, Room 102. If you need anything, you can come to me at any time!" He is not one of the teachers, but a member of the Provincial Mathematical Society. Team member training.

While talking, Teacher Zhang sent Wu Tong to Room 106 on the first floor of the Young Teachers Apartment and swiped his card to open the door.The apartment is pretty good. There is a separate bathroom at the entrance. There are two single beds inside. The bedding is complete. There is a desk beside the bed. The colors are simple and bright, clean and tidy.

At this moment, roommate Feng Yueyue should be teaching in the classroom, and there is no one in the dormitory.However, it could be seen that Feng Yueyue had already chosen the bed by the window, and Wu Tong put the suitcase directly by the door.

She didn't bring much with her this time, just some books and a change of clothes.Afraid that she would have some use for money, before leaving, Teacher Jin specially put 1000 yuan in cash and a bank card in her wallet, and told her many times to add whatever she needed in time. If the money was not enough, let the leader The teacher accompanied her to the bank to withdraw it.

"Classmate Wu, would you like to take a break and wander around first, or go to the training classroom? Everyone will gather together for a potluck dinner in the evening to celebrate the end of the training!"

"Teacher Zhang, please take me to the training classroom!" Without pause, Wu Tong picked up his backpack and prepared to go out with Teacher Zhang. There was no need to waste time in the dormitory.

The training classroom is in the first teaching building out of the dormitory area. It is not far from the residence, and the arrangement is very convenient. At the moment, the students participating in the training are all contemplating the questions given by the training teacher on the blackboard. Only a few of them start writing.

In addition to the members of the provincial team who were working in the front, there were also some students at the back of the classroom, and those students were obviously more dizzy when reading the questions.According to Teacher Zhang’s introduction, Wu Tong knew that he took sponsorship money to participate in the training.

There are those who ranked higher in this year's number league, and there are also those who are preparing for the next year's number league.The quality of this training camp is so high that parents who hope their children will succeed and their daughters will naturally go to great lengths to send their children to this training camp.

When Teacher Zhang brought Wu Tong in, the atmosphere in the training class condensed.

No one is a fool. On the contrary, those who can do mathematics have high IQs.At this time, there is only one student who can be brought in by the teacher. The one who turned out to be number one in the province with a perfect score in this year's number league. They knew it on the first day of the training camp, and this person will come here today.

The person in charge of teaching in the class is another teacher, Zhang Ping, the head coach of this year's provincial team. He looks tall and powerful, and looks like a fierce Zhang Fei. Together with Teacher Zhang, who has a gentle and white-faced scholar's feel, they form a team of students. Both black and white, he has profound qualifications and is a provincial special-level teacher. He has brought out many first prizes in the national competition and even members of the national team.

Seeing Wu Tong, he raised his eyebrows. He is the best in the province. He has seen a lot, but perfect scores are rare. He is new here, so he should show off his skills and see if he can control the situation!

"Wu Tong, right? Find a place to put your schoolbag, and go to the stage to solve this problem on the blackboard!"

Today is the last day, and the question he presented can be regarded as the finale.If Wu Tong could solve this question on the spot, he would have no objection to Wu Tong not coming to the training these days.

The student is capable, so it doesn't matter if you let him go like that, he has a big belly.

There were not many students participating in the training. Except for the separation between the provincial team and ordinary trainees, everyone did it casually.There is an empty seat in the first row to the side.

There were not many inscriptions on the blackboard, so Wu Tong put down his schoolbag and finished reading the inscriptions on the stage.

n is a positive integer, S={x, y, z..., try to find the minimum value of the number of planes whose union contains S but does not contain (0, 0, 0).

When reading the question in the first day of junior high school, Wu Tong clearly felt the difficulty of this question, which was not low.It was as difficult as the sixth question of the IMO classic she had done in 88.

Pulled into the state of deep learning for a moment, Wu Tong quickly deduced and extracted the key points in his mind, and staged a storm of thoughts in the invisible depths of his mind. In an instant, inspiration lit up his thoughts, and he could introduce the Lagrange median theorem. She picked up the chalk, Start writing on the blank space on the blackboard.

Solution: Let the degree of the polynomial p(x) be N, and define the difference operator Δ to satisfy...

Denote I as a constant operator, according to the Lagrangian mean value theorem:

△p(x)=p(x+1)-p(x)···

·····

Take x=y=z=0, get f(0)=`····

This contradicts f(0, 0, 0) ≠ 0, so m ≥ 3n, and the equal sign is established, see the previous example...

After fluently writing down the proof process for nearly a whole blackboard, Wu Tong explained softly: "This is a relatively simple and clear solution, and there is a more complicated solution. There is not enough writing on the blackboard, so I won't repeat it here! "

Hahaha...hahaha...

The other members of the provincial team in the audience felt that they were hit twice as hard in an instant. That God on the stage, please consider the heartache of those in the audience. Is this the gap between them and the top scorer?

They have been thinking hard and haven't figured out the way yet, but the person on the stage read the questions casually and wrote down the blackboard eloquently. They seemed to be struggling, and they didn't fully understand the proof. She also told them that she still Is there a solution? If you can’t write anything on the blackboard, just stop writing?

This still makes people alive!