Yuan Zhengxin carefully browsed through Qiao Yu's questions and Pan Jingyuan's answers. When he looked up at his professor, he realized that Professor Pan's eyes were very dark today. He couldn't help but smile subconsciously and said, "Little Pan, Thanks for your hard work."
Pan Jingyuan smiled bitterly and said: "Mr. Yuan, you have really worked hard. I feel like I have never worked so hard when doing the project. The angle of this guy's questions is very tricky. I had to think carefully before I dared to answer him at night. As a result, he has not been able to answer the questions. He kept asking questions, and I thought about not replying, but I was afraid of dampening his enthusiasm...
Just as he was talking, the phone started to vibrate again. Pan Jingyuan subconsciously picked it up and took a look at it, and then immediately complained: "Good guy, here we go again." Then he took the phone and handed it to the old man for a look.
"Will the isomorphism relationship in this part of the proof be very dependent on the specific choice of G? So G will also cause the properties of certain geometric objects to change, which may lead to the failure of this isomorphism relationship? Hmm... this question ?」
The old man looked at Pan Jingyuan and asked curiously: "Is this a question in your paper?"
Pan Jingyuan nodded, took a deep breath and said: "Yes, the question he asked involves the local system LocSys and the global differential homology IndCohNilpglob. The purpose of this part of the proof process is to analyze the geometric objects on the algebraic curve. Represents geometric data related to automorphic forms to describe global uniformity.
The old man continued to ask: "Is his question reasonable?"
Pan Jingyuan replied: "It does make sense, but in our proof, we imply the global nature of the local system and also indicate possible failures under specific circumstances, such as the presence of singularities."
"Oh." The old man nodded, a little confused. He also couldn't figure out what Qiao Yu wanted to cause trouble.
????????????
He previously expressed his intention to recommend Qiao Yu to join the research group. Of course, he only wanted to work as a handyman to get a feel for the atmosphere of the world's most cutting-edge research. But he decisively rejected it. Now he has downloaded Qiao Yu's paper and can't wait to analyze it piece by piece.
etc..
"Does he understand?" The old man suddenly reacted and looked at Pan Jingyuan.
Pan Jingyuan sighed in his heart, time is not forgiving...it was only then that Mr. Yuan came to his senses.
So he nodded naturally and replied: "Not only did he understand it, but I felt that he was trying to find loopholes in the paper. Every question raised was very targeted, and there were even two questions that we didn't know at the time. I thought about it."
Yuan Zhengxin nodded slightly, thought for a while, and asked, "What do you think?"
Pan Jingyuan immediately said: "What I mean is, why don't we just let him come to Huaqing to stay for a few days, and I will spare some time to explain to him specifically. The efficiency of WeChat communication is really too low."
Whether it was selling face to an old man or selling face to Qiao Yu himself, Pan Jingyuan never resisted having more in-depth academic exchanges and discussions with Qiao Yu. But he couldn't stand being bombarded with all kinds of questions on WeChat.
No one can stand it if it changes.
If they were all nutritionally insignificant questions, that would be fine. He could just fool around with them, but the questions Qiao Yu asked were obviously carefully thought out and to the point.
He needs to think carefully before answering.
The result is that Qiao Yu's last question last night was indeed a little too much. After he answered it, Qiao Yu politely told him that he was going to rest and asked him to rest early.
But people who often work at night will know that if their brain has just been thinking intensively and then they can't fall asleep at all in bed, they still feel a little sleepy even now.
etc.
Pan Jingyuan suddenly picked up his mobile phone and carefully read the questions raised by Qiao Yu again. He suddenly felt a little uneasy. "He may not be free during this period... huh? What's wrong with you?" Yuan Zhengxin suddenly asked.
Pan Jingyuan replied subconsciously: "I suddenly feel a little unsure. When we deduce the global nature, we require that each ridge E on the C curve corresponds to the unique representation of the Lie group G. If BunG, that is, G Any change in the structure of the bundle space during the proof process may indeed lead to the invalidation of the isomorphism relationship."
This answer made Yuan Zhengxin stunned. He looked at Pan Jingyuan with a deep look and asked: "This should be considered an obvious loophole, right? You didn't fully discuss and self-examine it internally before publishing the paper?"
Pan Jingyuan replied: "Yes, but no one seems to have raised this issue. After all, we have conducted sufficient partial verification work, which occupied most of everyone's energy. And as you know, Professor Schultz also expressed doubts about our conclusions. Very satisfied.
Moreover, in a paper of more than 800 pages, BunG is an extremely important content, occupying a lot of space in each paper. If all were verified, it would probably take more than a year to be published. And this cannot be considered an obvious loophole, right?
Yuan Zhengxin nodded. Of course he could understand this situation. It was nothing more than utilitarianism.
If the paper is delayed for more than a year, it will definitely not be discussed at next year's World Congress of Mathematicians.
Five systematic papers of more than 800 pages are the most cutting-edge mathematical propositions, and it will take more than a year for the world's mathematical community to demonstrate them.
It is now only one year and four months before next year's World Congress of Mathematicians. To be honest, this time is already extremely tight. This makes Yuan Zhengxin unable to even say anything critical.
Physicists don't care. As long as you live, no matter how old you are, you can win the Nobel Prize, the top prize, if you produce results. But once a mathematician reaches the age of forty, he will miss out on the most dazzling top prize.
If it takes one more year to verify, indeed many people will not be satisfied.
Even if he was young, he would probably make the same decision. This can't be blamed on anyone, especially Pan Jingyuan, who is not even the leader of the team.
So Yuan Zhengxin did not make an evaluation, but said with a smile: "Haha, you can share Qiao Yu's thoughts with the team, and you can start self-examination first. If the problem can be found, then you have to thank Qiao Yu."
Pan Jingyuan nodded seriously and replied: "Well, I will discuss this issue with the instructor later. By the way, what did you just say?"
Yuan Zhengxin replied: "I mean Qiao Yu has been unavailable for a while. The first phase of this year's IMO training camp will start tomorrow. At least in the next nine days, he will complete the training content at Yanbei University in accordance with regulations."
Pan Jingyuan was stunned, and after a long while he asked in confusion: "Qiao Yu? He still wants to participate in IMO? Why is he participating in IMO? Can his mind come to his mind?" As someone who has participated in IMO and won the championship, Pan Jingyuan naturally has Qualified to say this.
To put it bluntly, no matter how difficult the IMO questions are, they still test the ability to apply elementary mathematics knowledge at the high school level. How to put it bluntly, it can only be said that the mathematics you are exposed to before college and the mathematics you are exposed to after college are two completely different subjects.
The knowledge of the former is all concrete, with only basic concepts and basic formulas.
The latter knowledge begins to be abstracted, that is, from this time on, students may be exposed to mathematical questions that do not have a single number, but only various symbols and letters that refer to them.
The depth and abstraction of knowledge determine qualitative changes in the way of thinking and the nature of the subject.
To put it bluntly, high school mathematics is at a stage where hard work can make up for one's weakness. As long as you are willing to work hard and study hard every day, even if you are not talented, you can get a good score just by relying on your intuition. At most, it will be the last. It will be a little confusing to raise the questions.
But even at this stage, mathematics alone can screen out many people who are not suitable for advanced research.
It's even more different when you get to college. Just answering questions can no longer support you to learn this subject well. It's even exaggerated to the extent that you may not understand the examples in the textbooks after the teacher explains them over and over again. The reason is abstraction.
Mathematics does not explore phenomena that can be seen in reality. It can play freely within the scope allowed by the theoretical framework.
High dimensions are difficult to imagine in the physical world, but they are everywhere in the mathematical world and are even indispensable. Just like in N-dimensional Euclidean space, mathematicians can discuss spaces of any dimensions and study their geometry. characteristic.
It happens that the most difficult thing for people to imagine is something they have never seen, but there are always people with extraordinary talents and sufficient imagination to do these things that are beyond the reach of ordinary people. For example, Poincarai's exploration of high-dimensional manifolds is still regarded by nearly Perfect proof.
But why would such a person go to IMO? What’s the point of him going to IMO?
Yuan Zhengxin explained: "Well, I think so too. This will indeed cause trouble to many people. Especially when he goes to participate in IMO, his article on Ann.Math may have been published. This makes him even qualified to sit At the judges' table.
But Qiao Yu said that this is what he promised his alma mater, so he must do it. I don’t think I can veto a child’s commitment to his alma mater. Otherwise, how should I discuss the concepts of trustworthiness and gratitude with him in the future? "
Pan Jingyuan opened his mouth but said nothing. This reason is indeed invincible.
From a purely mathematical perspective, there is really no need for Qiao Yu to participate in IMO.
A paper that can get into Ann.Math is more than enough for him to lead the team to participate in IMO this time.
There are so many mathematics professors in Huaqing, but they cannot guarantee that their independent research results will be published in professional mathematics magazines every year. Not to mention that Qiao Yu's achievement can be said to be a very important achievement.
But if you want to repay your alma mater...
Yuan Zhengxin added: "Oh, you may not know that Qiao Yu did not go to a key middle school. His alma mater has not produced an IMO champion. No, it has not produced a student who can enter the national training team. So if
If Qiao Yu can win an award at the IMO this time, it will be a breakthrough for his alma mater."
Pan Jingyuan shook his head and said with a wry smile: "Even if he wants to participate in IMO, he doesn't need to participate in the training camp, right? Why is he going to the training camp? Can't we just give him an exemption?"
"Hey." Yuan Zhengxin sighed and said, "It's hard to teach a child like him. Of course it's okay, but he has a very out-of-touch temperament. If you really want to give him this kind of privilege, who knows what he's going to do after he gets used to it.
What else could happen? The age of sixteen is when a person’s worldview takes shape, and he must be given a sense of rules.”
Pan Jingyuan suddenly realized that since the discussion with Qiao Yu yesterday afternoon until now, he had probably subconsciously regarded Qiao Yu as the same person as him, and he did not realize that this little guy was still in the stage of personality formation.
The strong plasticity means that adults will have many scruples when interfering with his ideas at this time. The old man is probably afraid that Qiao Yu has no sense of rules, which will lead to the higher he climbs and the harder he falls, right? He really doesn't know how to do this in this regard.
What can I say, it just feels weird and weird when I think about it.
"That.."
"Then you have to work hard for another day. Please excuse me, Xiao Pan. He will go to the training camp tomorrow. This is something he has volunteered to participate in. I think he will take it seriously." The old man said with a smile, with a hint of pleading.
smell.
Pan Jingyuan was startled and said quickly: "Mr. Yuan, you are too polite. To be honest, I also like this child Qiao Yu." Yes, who doesn't like children with high intelligence?
..
Yanbei International Mathematics Research Center.
Qiao Yu still maintains his state of seriousness and selflessness. What is a peak showdown?
Of course, you have to put in 100% effort to defeat your opponent.
Mountain climbing is a long process, and those who claim to be able to reach the top of Mount Tai in one hour would be happy if they could see the gate of the scenic spot. Qiao Yu did not have this illusion, but he had to take every step steadily.
So he was very serious, more serious than he had ever been when dealing with difficult problems.
The geometric Langlands conjecture is a very complex proposition. Just like Schulz's quasi-complete space theory, it is characterized by the complexity of the theoretical framework. This makes it difficult for people to understand the paper, so he raises many questions.
At this time, his mathematical intuition is often more useful
Many of the to-the-point questions he raised were really based on mathematical intuition. For example, the question he just sent to Professor Pan. There are many technical obstacles when dealing with homology theory and spectral sequences related to the geometric Langlands conjecture.
This makes the selection and construction process of the model very complicated, and it is difficult for BunG not to be affected in this process. Any small technical mistakes will lead to imprecision in the paper, leading to failure of the proof. This is like a spaceship in space.
The docking between China and the space station is very similar.
Ordinary people understand that the space station is always suspended in space. The spacecraft only needs to slow down slowly, then align the interface, touch and lock it. But the actual situation is that the space station and the spacecraft are actually moving at high speed during the docking process.
.
The docking work must be completed at high speed, and any small mistake will lead to docking failure or even collision. The process of asking Professor Pan questions is the process of materializing these possible problems.
Qiao Yu has saved these into a directory in his mind. The next main task is to deduce and verify the possible situations in the directory, and then find the loopholes in the proof.
This is a very large project. Even the fourth and fifth papers total more than 300 pages.
But if he succeeds, it will be an even bigger project for the team studying this proposition.
Again, mathematical proof requires 100% correctness. If there is any inconsistency in logic, you need to find a way to make up for it.
Anyone who has written relevant mathematics papers probably knows how difficult it would be to revise a more than 800-page paper on a complex problem if someone really finds a logical loophole in it, and it is a logical loophole that runs through the whole paper.
At the very least, there is no chance of being invited to give a report at next year’s Mathematicians Conference, and the creator is even less likely to be nominated for any award for solving this problem. When the paper is revised and resubmitted, it will have to go through the process again.
The next round of argumentation.
Without a completely correct paper, the most everyone can do is thank the team for their efforts and exploration on this issue, and it is impossible to award any honors. For Qiao Yu, this is a game, and the Langlands Program is the battlefield.
Peak showdown.
He seems obsessed, just because he is serious.
But Xue Song didn't see it that way. When he left Qiao Yu's room silently and found that the boy seemed to have no feelings, he was still a little frightened. He subconsciously called Tian Yanzhen.
After listening to Xue Song's report, Tian Yanzhen was silent for a moment and said: "Let him go. No matter what he is interested in, as long as he is serious about it, it is a good thing. Tomorrow is the day of the IMO training camp. If he forgets to report, there is no need to remind him.
.”
Adults all feel the same way. It is ridiculous for a guy who is already qualified to submit papers to Ann.Math, whose papers are likely to be included, and who starts to challenge the Langlands Program of Geometry to participate in IMO.
At least it has never happened in the history of mathematics...
It's a pity that Qiao Yu has not forgotten it.
Thanks to Senior Brother Chen for installing the printer, he printed out the complete paper the night before, put aside what he had read, and then estimated that it would take nine days to sort out the content he needed to read except for the exam.
come out.
Although Qiao Yu now sees the huge possibilities that mathematics can bring him in the future, he still has to earn the money he can easily get. On the one hand, improving life must start by doing every little thing around him, on the other hand, Qiao Yu also
I really value commitment.
Lao Zhang and Lan Jie are both kind people, so they can definitely understand that Qiao Yu no longer needs to prove himself IMO. Even if Qiao Yu doesn't participate in the competition, they won't say anything more. But because of this, Qiao Yu feels more
Don't let the kindhearted people down.
When you feel that somewhere in the world is bad, this is not a reason to make it bad, but to try to make some small changes.
For example, everyone thinks that good people in this world are not rewarded well, so Qiao Yu decided to use practical actions to let everyone know, hey, in fact, people like good people can also be rewarded well.
Qiao Yu feels that only when there are more people like him, many things in consciousness will change subtly. In this way, when everyone decides to be a good person, an impure good person like him can live more comfortably.
In a crowd of bad people, you have to get involved, and you can only stand out if you are more evil than others; but in a crowd of good people, as long as you are shameless, you can take advantage. Qiao Yu can even write an essay based on this proposition.
Yes, now Qiao Yu's mind is full of mathematics, and he is terrifyingly serious.
So the next day, when the friends in the friend group met Qiao Yu again, they met such a scary guy...
After Qiao Yu washed up early in the morning, he stopped by the cafeteria to have breakfast, then took the papers he had prepared, completed the registration, and went through the check-in procedures.
For the past two days, he has maintained the habit of sleeping only five hours a day, but it has not affected his efficiency. On the contrary, he is very energetic and energetic. This is the case every time, once Qiao Yu has a clear idea
Goals, whether it is concentration or human energy, will appear more vigorous.
This is probably a high-spirited attitude.
Originally, he planned to be lazy and take a good rest during the two training camps in March, but the situation is different now, and Qiao Yu has no intention of taking a rest. He must read the paper quickly, the geometric Langlands conjecture is indeed very profound, and it is worth his efforts.
much time.
After all, in order to find important logical errors in the paper, he must first understand them. Finding errors is a learning process.
Moreover, this matter is extremely challenging. It is said that Schulz has read this paper and commented: "The best and most successful result in the past thirty years is the pinnacle of thirty years of hard work."
Even Alexander Bailey, one of the founders of the Geometric Langlands Programme, said, "This proof is very beautiful and the best of its kind." For others, the voices of the two big names expressed
I agree with the thesis, but Qiao Yu obviously has different views on it.
He always felt that if he really recognized this conclusion, the big guys could use statements like "It's unimaginable that they succeeded and the proof process was impeccable" instead of comparing it with other proofs of the same period.
Of course, this may also be due to the rigor of a big boss. He doesn’t want to speak too harshly before gaining recognition from the world’s mathematicians.
But in Qiao Yu's view, not having the confidence to make such an expression means that there may be problems in the paper. It's just to see if anyone can find it.
If he doesn't hurry up, what if all mathematicians agree with this conclusion? At next year's World Congress of Mathematicians, the award review committee will really get upset and award the award to someone? After all, no award has ever been awarded and then withdrawn in history. precedent.
Qiao Yu felt that he had to hurry up, not to mention that this geometric Langlands conjecture was indeed quite interesting.
So after arriving in the assigned room, Qiao Yu sat down in his seat, opened the paper and started reading.
At around nine o'clock in the morning, Yu Wei opened the door and was stunned when he saw Qiao Yu sitting there in the room. At this time, Qiao Yu glanced sideways at him.
Yu Wei originally thought that Qiao Yu would sarcastically say something to him as usual, but Qiao Yu didn't say anything at all. He just glanced at him, then turned back and stared at the spread of A4 paper on the table.
Qiao Yu didn't speak, and Yu Wei was too lazy to greet him. He pulled his luggage into the room, put it all away, then silently took out the prepared exercise book from the box, and planned to sit on the table behind Qiao Yu. Set up a table and start writing questions.
To be honest, he was a little unhappy being arranged to share a room with Qiao Yu.
But there is no way. This training camp is a semi-closed management. All players participating in the training camp are all in a room with four people. In comparison, being arranged in a room with acquaintances seems to be quite good.
Even though he was unhappy, when he passed Qiao Yu's place, he couldn't help but glance at what Qiao Yu was reading. "Fuck!" Yu Wei cursed in his heart. It was a paper he couldn't understand. This guy was getting more and more... He's getting better and better at pretending! So he deliberately made some noise while dragging the bench, but unfortunately the guy behind him still ignored him at all.
Yu Wei sat down, still a little out of breath, so he put down the exercise book in his hand. There was still no movement behind it, except for the "swish" sound when the pen tip came into contact with the paper.
Yu Wei sighed, okay, he admitted that Qiao Yu really did it this time. He never thought that this guy would stop having a bad mouth, and it would actually make him feel even more uncomfortable... He opened the exercise book and wanted to start solving questions. , and leave that hateful guy behind.
But he still couldn't concentrate - the damn guy behind him didn't even bother to say hello to him... The more he thought about it, the more irritated he became. Yu Wei was about to get up and go out for a walk when the bedroom door was pushed open again.
"Damn it, it's really you two, Brother Qiao Yu, I miss you so much!"
Really, in the past, Yu Wei would have been annoyed when he heard this voice, but today he suddenly felt that the fat man's voice was a bit pleasant. There was no way, although he had always liked silence, but if he was allowed to be in such a Being in the same room with Qiao Yu quietly, Yu Wei thought he would go crazy.
So he stood up by the way and watched how Qiao Yu dealt with the brown candy. Who knew that Qiao Yu just glanced sideways at Yu Yongjun and made the fat man stop rushing towards him.
"Well, I arranged your accommodation. I don't like living in a room with people I don't know, so I said hello to Professor Zhou. I don't have time to make trouble with you, so don't waste your time and finish your questions quickly."
Then Qiao Yu threw this sentence at Yu Yongjun, then turned around again and focused on the paper in front of him. Then Yu Wei saw Yu Yongjun standing there at a loss and gave him an innocent look. .
Then he felt a little happy in his heart, and then suddenly felt that this idea was shameful, so he took the initiative to say: "He must have lost his mind." "Don't make trouble, brother is testing us, right brother." Yu Yongjun He said something to Qiao Yu again without giving up.
"Put away your things and take the time to study the questions. After this training camp, there are only fifteen people left. Your CMO ranking is the lowest in this dormitory. Do you have the confidence to stay? Have you looked at the daily schedule? We don't gather until seven o'clock in the evening. Don't waste your time during the day." Qiao Yu replied without raising his head.
Yu Yongjun glanced at Yu Wei, who shrugged. Yu Yongjun could only sigh, then started to pack his luggage, and then sat at the table under the bed. Qiao Yu's way of not letting strangers in gave him no choice. She was in the same row of beds as Qiao Yu, but chose to be in the same row as Yu Wei.
"Brother Qiao, what's going on today?" "He's reading a paper."
"The Schulz one last time?" "I don't know."
"Eh? Yu Wei, something is wrong with you today. Why did you talk to me so peacefully? Are you stimulated by something? You didn't even answer my question without scolding me?" Yu Wei rolled his eyes at Yu Yongjun, and then Finally, he turned his attention to his exercise book.
It proved that Qiao Yu didn't seem to be ignoring him alone, which made him feel inexplicably better. Perhaps Yu Wei hadn't realized that his mood had begun to be more and more affected by Qiao Yu.
Just after I solved a problem, the bedroom door was pushed open again.
"Hello everyone." Yu Wei looked up and saw that he was the guy who tied for first place with Qiao Yu in the last CMO competition. He still remembered that this guy's name was Gong Jiatao, from Huaqing High School. He should have come from the side.
Yu Wei would be impressed by everyone whose grades exceeded him, but he just nodded at them.
Yu Yongjun, who was beside him, had already yelled: "Damn it, brother number one, you're in the same dormitory with us?" Yu Wei couldn't help but turn his head and glance at Qiao Yu behind him, but still didn't raise his head.
"You're welcome, you're welcome, that Qiao Yu is really awesome. I've heard of Qiao Yu's name in school." Gong Jiatao, who was standing at the door, said humbly, "You're welcome, just put your luggage and finish the questions. Of course you have to You can go out and move around freely." Qiao Yu said.
"No, Qiao Yu, are you working so hard? Let me see what questions the master asked?" Apparently Gong Jiatao was also an outgoing guy. He put away his luggage and ran directly to Qiao Yu to take a look.
"Well, don't compare with me. The questions I answered are different from yours." Qiao Yu raised his head and told Gong Jiatao the truth.
After hearing these words, Gong Jiatao looked at the derivation process that was densely packed with papers in front of Qiao Yu. He raised his hand and scratched his head, feeling a little confused. "Qiao Yu, I say you've had enough! Is it interesting?" Yu Wei finally couldn't help but scratch his head.
, stood up and said.
Qiao Yu thought for a while, then stood up and stretched.
"I happen to be a little tired, why don't we play a game to relax our brains. Whoever wins the game will be the dormitory president for the next nine days, and everyone else has to listen to the dormitory president, how about that?" Qiao Yu didn't pay attention to Yu Wei directly, but spoke.
Made a suggestion.
"Boss, what game?" Seeing that Qiao Yu was finally not concentrating on reading the paper, Yu Yongjun immediately became energetic, turned around and asked loudly. "You know how to play King of Glory, right?" Qiao Yu asked.
Yu Wei pursed his lips and said: "Playing games to choose the dormitory leader? Childish!"
Qiao Yu smiled gently and said: "It's not just about playing games. It's also about solving problems in Honor of Kings 1V1SOLO. The questions are exchanged by the two warring parties. There is no limit on the type of questions. The other two people are responsible for thinking and writing the questions."
You must win the game and answer the questions correctly to be considered a winner. The losers are eliminated, and the winners continue to accept the challenge. Until the winner beats the other three, he is the dormitory leader. How about?
Before Yu Wei could interrupt this time, Gong Jiatao beside him couldn't stand it anymore: "Isn't it? You have to win the game and answer the questions correctly to be considered a winner? So what if you can't tell the winner after playing all afternoon?"
Qiao Yu shook his head and said, "It's okay. I'll be the first to participate. There won't be any situation like you mentioned. Well, I'll participate first. As long as I lose one game, what will the three of you ask me to do in these nine days?
That’s what I’ll do. Of course, I can’t cheat. If the chosen question has no solution, I’ll still be considered a winner if I judge it.”
The three people looked at each other.
Yu Yongjun said calmly: "Well, brother, although you are indeed the eldest brother and I know you are strong, but you are talking about winning the game only when the questions are correct. In other words, I can play the game without answering the questions and beat you.
, are you considered a loser?"
Qiao Yu replied simply: "Yes, you don't have to solve the problem, just play the game with your heart. If you win the game, you win."
"Ahem, brother, you can look down on my problem-solving, but you can't look down on my ability to play Yasuo! I'll challenge Yasuo in a one-on-one fight." Yu Yongjun said immediately.
"Oh, let's get started. If you don't answer the question, I won't choose it. You quickly choose the question, Yu Wei, help me read the question." After saying that, Qiao Yu took out his phone and clicked on the King of Glory.
.
"I can't bear it anymore. My questions are ready." Yu Yongjun quickly took out a printed question from his desk, then gave it to Yu Wei and said, "Yu Wei, I will choose the fifth question."
After saying that, he also took out his mobile phone.
Yu Wei glanced at Yu Yongjun, then at Gong Jiatao who had not yet recovered, then silently took the piece of paper and glanced at the title. He knew how shameless this fat man was.
He actually picked a geometry proof question...
But to be honest, Yu Wei liked Yu Yongjun's shamelessness, but as soon as he read the first word of the question, Qiao Yu said: "Wait, you are reading after entering the game. If you know the question in advance, there will be no suspense. .
Yu Wei didn't say anything and immediately fell silent.
But the little fat guy next to him couldn't stand it anymore and shouted loudly: "Ah ah ah, I can't stand it anymore, come on, come on!" Yu Yongjun quickly built the room as he said that.
After Qiao Yu entered the game and the countdown ended, Yu Wei began to think about the problem: "Suppose D is an internal point of the acute triangle ABC, and satisfies AB>AC, and ∠DAB=∠CAD. The point E on the line segment AC satisfies ∠ ADE=∠BCD, point F on line segment AB satisfies ∠FDA=∠DBC.
And the point
After reading the question, Yu Wei couldn't help but leaned over and took a look at the game interface between the two. Qiao Yu seemed to be concentrating on operating the characters in the game and the fat Yasuo on the opposite side, circling under his own turret. Qiao Yu chose Old Master.
To be honest, Yu Wei thinks that this hero is quite shameless in a one-on-one duel. After all, the ultimate move can be controlled. But then again, because the ultimate move is not a locked skill, you need to predict when releasing it.
Thinking about this kind of geometric proof problem and playing the game without making mistakes, at least Yu Wei felt that he couldn't do it.
Just when Yu Wei was still thinking about how Qiao Yu would handle this situation, Qiao Yu suddenly spoke: "Help me draw the picture according to the title first, and then draw an extension line along EF and the intersection with the extension line BC. Set to J.
Yu Wei could no longer watch the excitement in the game. He sat down at the table and began to draw pictures according to Qiao Yu's request, while recording what he said. Gong Jiatao stood next to Yu Yongjun's position, silently Looking at the game interface of the two people.
"The first step is to prove Lemma 1: The four points B, F, E, and C are cocircles. First, draw the circumcircle of triangle ABC, and extend the outer circle of AD and point M; then draw the circumscribed circle of triangle BDF. Finally, we can Obtain ∠DBM=∠DBC ∠CBM..
"Wait a minute...speak slower!" Yu Wei suddenly said. Gong Jiatao looked up in surprise...
"Okay, tell me when you finish writing." "Okay..."
"...So MB is tangent to the circle BDF. In the same way, we can get MC to be tangent to the circle EDC... According to the circle arithmetic theorem, we can get that the four points B, F, E, and C are in the same circle. The second step is to prove that the circle BDC is circumscribed to the circle EDF, and JD is the root axis of the two circles...
"Holy shit, fat man, if you give me some strength, this can be hooked by the ultimate move?
"Can you blame me? I thought that skill could directly bring him first blood, but who knew he was not dead?!" "You two, please stop arguing..." Yu Wei couldn't help shouting.
Qiao Yu spoke a bit fast, and he needed to concentrate on recording without making mistakes. These two guys were still arguing next to each other, which was really annoying. Wait, it was the fat guy who died first?
Just as this idea flashed in his mind, Qiao Yu spoke again: "Suppose the intersection point of EF and AD is H. From the Lemma 1 just proved, we can know that H, E, C, M are four points of a circle, and we can get ∠FED ∠ DCB=..."
Yu Wei stopped paying attention to the game and started writing furiously again.
Seven minutes later: "It can be seen from Lemma 5 that JK = JD that J is the vertical bisector of the line segment DK. From Lemma 4 we can know that D and K are the two intersection points of circles O1 and O2, so the line segment DK is the intersection of the two circles. The common chord, O102, is the perpendicular bisector of the line segment DK, so J is on O102, and the proof is completed.
As Qiao Yu finished speaking, two voices came out from the other side: "Fuck!" The game was over...
Yu Wei did not write down the last sentence. It was not necessary. The previous proof process was already perfect.
And there was no need to remember it, because the piece of paper he recorded on had already been read by Gong Jiatao, who came over after watching the game. He was holding it in his hand and was looking at it.
Of course he knows the difficulty of this question, which involves round mold and root axis, Monge's theorem, interest in Mick points, inversion transformation, etc... He has also encountered the same type of question, and it appeared in Passed the IMO arena.
This made him completely unable to understand how Qiao Yu could solve this problem while playing the game. Qiao Yu didn't even ask to see the picture he drew during the whole process.
How can he pursue this?!
Looking at Qiao Yu sitting there quietly, using his mobile phone to exit the game, it is no exaggeration to say that Yu Wei felt a sense of despair in his heart at this moment. At this moment, Qiao Yu's voice came to his ears: " You remember it was too slow, right? The game could have ended the battle at least two minutes earlier."
Yu Wei suddenly wanted to curse, but at this moment Yu Yongjun's voice came to his ears: "I, it's a shame, I didn't seem to say I couldn't surrender just now! If I had surrendered in advance and hadn't finished solving the problem, wouldn't it be wrong? Even if I win?”
After hearing these words, Yu Wei felt inexplicably relieved.
I have to say that this seems to be a good solution. At least Qiao Yu is not strong enough to break through the rules.
Yu Yongjun's words really shocked Qiao Yu.
Qiao Yu, who had just won the next game, said seriously: "I really underestimated how shameless you are. This rule must be added. Surrender is not allowed in the game. Who will be next?"
"Let me give it a try." Gong Jiatao said before Yu Wei could speak.
His hands were a little itchy while watching. He had to say that this was indeed a very interesting game. He had never tried it before. Moreover, he was a little doubtful whether these three people were playing him and playing with his mentality.
After all, when he was the CMO, he could see that the three of them had a good relationship.
"Why don't you check the solution to the problem first?" Qiao Yu asked.
"I just read it, no problem, but this time you also have to give me debut questions." Gong Jiatao said.
"good!"
"Boss, I'm here to help you take notes this time. I can write very fast."
"It's Yu Wei, your lower limit is too low, I don't trust you to record it.
"Ah, isn't it? Boss." Yu Yongjun looked hurt, but unfortunately Qiao Yu ignored him.
"Turn on my phone to record." Yu Wei suddenly said.
"Huh?" Qiao Yu looked at Yu Wei, his gaze making Yu Wei a little flustered, and he explained: "I want to watch the game in the game."
Qiao Yu thought for a while and said, "That's okay, but the recording must be turned on."
Yu Wei walked to Gong Jiatao silently, and then found that this guy's face was a little dark...
Of course, Yu Wei knew that this was because his statement "I want to watch the game in the game" just now was too negative, but it didn't matter.
He is only slightly convinced by Qiao Yu now.
Chapter completed!