Chapter 325: Difficulty consultant (one/three)

Xu Mang is very unlucky. He originally thought that there would be a big group behind him. Not to mention thirty professors, at least five associate professors, right?
result...
A polished commander, the dignified Zhejiang Olympic Mathematics Competition, the question is alone.
According to Teacher Teng, many people have decided not to participate after knowing that you asked the question. It's useless to go in anyway... It's really sad to hear, and those who hear it cry.
In the temporary office,
Xu Mang lay on the chair, then tilted Erlang's legs, with a bottle of ice tea next to him, with a pleasant expression on his face.
There are still ten days,
Don't panic!
"Hey?"
"Have you returned to the magic capital?" Xu Mang received a call from Yang Xiaoman.
"Go back tomorrow."
"You are already in Jiangda?" Yang Xiaoman said: "Oh...I have seen a lot of people, everyone praised us, but I think...the conscience is a bit difficult, in fact, all these credits are your."
"It doesn't matter."
Xu Mang stretched his waist and said silently: "I'm hanging up first... I'm going to work."
"Ok..."
"Kiss me!" Yang Xiaoman said crookedly.
Xu Mang was stunned for a moment, and then silently pressed the hang up button...Looking at the interrupted call interface, he smiled.
Kiss the wool!
Are you capable of hitting me? !
jobs!
First of all...it is the topic of the individual competition.
Since it is an individual match, it is an occasion to reflect personal strength.
Xu Mang bit his pen and kept his eyebrows tightly locked. According to international practice, the first question is to send points, and the contestants are often given a point so that they don’t lose too embarrassingly. The difficulty needs to be changed.
Send sub-questions?
Why is the first question a sub-question?
Which stipulated?
Xu Mang thought about it seriously. There are not too many questions, but every question is just a proposition.
first question,
Xu Mang decided to use geometry directly!
In the convex quadrilateral ABCD, AB·CD=BC·DA, the point X is inside the quadrilateral ABCD, and the angle XAB=angle XCD, and the angle XBC=angle XDA are satisfied.
Proof: Angle BXA + Angle DXC = Straight Angle
"Hey..."
"Yes, you can!" Xu Mang smiled after finishing the first question. This is the devil!
"Ugh..."
"Xu Mang?"
"You are so handsome and so smart, how do you make other young men in the world live?" Xu Mang sighed, his face was full of sorrow.
Immediately after,
Xu Mang began to write the second question.
A primitive lattice point is an ordered integer pair (x, y), where the greatest common divisor of x and y is 1. Given a finite primitive lattice point set S, prove that there is a positive integer n and integer a1 , A2, a3...aN, so that for each (x, y) in S, all holds: a0x^n+a1x^n-1·y+a2x^n-2·y^2+... +an-1^n·xy^n-1+an·y^n=1
(°ー°〃)Thinking~
(‵▽′)ψhehehe~
Xu Mang was happy,
This kind of question can basically be called an anti-human question. If you don't have a strong thinking ability and don't understand the concept of mathematical formulas, you will definitely go to zero and you don't have to go back.
genius?
Sorry,
Do two questions at most!
Xu Mang is absolutely confident about this. With regard to these two topics, Xu Mang conducted various analyses and researches according to the last two questions of the just-concluded International Mathematics Competition. It is said that the last two questions of this International Mathematics Competition were suspended. A lot of people.
In more than one hundred countries, there are 500 people who have come to the top. According to the gossip, only ten people have done the right thing, and there are 30 people who have done the right question.
of course,
The difficulty given by Xu Mang is not at the level of the International Mathematics Competition, so it is slightly lowered.
Otherwise it is really too embarrassing.
...
"Old Teng?"
"Let Xu Mang write the question... Isn't it a bit inappropriate?" A professor found the dean of Jiang University's mathematics department and said with a worried look: "When this guy releases himself, the consequences will be catastrophic!"
"Don't panic!"
"Zhe Province is so big, I believe there is always a second Xu Mang." Teacher Teng said: "You should be able to see this competition."
Facing the optimistic teacher Teng, the professor gave a wry smile, the second Xu Mang?
"Old Teng!"
"X^n+y^n=z^n, this theorem was put forward in 1637, but it was only proved in 1995." The professor said: "These three hundred years of time Where is the genius?"
"Riemann's conjecture was proposed in 1859, and it has not been solved yet." The professor said helplessly: "Let's talk about physics again. Modern physics is still based on the framework proposed 100 years ago. the study."
"Don't be superstitious about genius!"
"Genius is something you can't find." The professor said: "Hurry up and call Xu Mang this back, otherwise I will really go out!"
"..."
Teng said and thought about it, and silently took out his phone.
"Hey?"
"Xu Mang, come to my office." Teacher Teng said.
moment,
Xu Mang came to the office with a look of excitement. Just now, he had completed nearly half of the individual competition papers, all of which were to send propositions.
"..."
"..."
Teacher Teng and the professor looked at each other, feeling a little flustered in their hearts. This is an expression of having just done something bad and not being caught.
"Xu Mang?"
"Looking at your happy face, are you... thinking about the Olympiad?" Teacher Teng asked.
"Yes!"
"I have an overall idea." Xu Mang said with a smile: "This idea is great!"
"..."
Teacher Teng didn't know what to do for a while, and the colleague's words were not unreasonable. Indeed, he didn't think well and shouldn't leave all the tasks to Xu Mang to complete.
"Then what..."
"Just now, I thought about it. It's a bit wrong to let you take on such a heavy responsibility..." Teacher Teng said: "Or... the individual and team competition papers, you will complete the challenge. The paper... let our mathematics professor finish it?"
"What do you think?" Teacher Teng asked.
Individual and team competitions?
This can be!
When Xu Mang thinks of the challenge, he has a little headache. He has to ask forty questions, and his body is almost empty.
"it is good!"
"I am in charge of the individual and team competitions, and the competition papers for the challenge... and find someone else." Xu Mang nodded and said seriously: "By the way, I can provide assistance on difficulty."
"???"
"???"
Difficulty help?
This is a little underestimation of the Department of Mathematics, right?
at this time,
The professor said: "I said Xu Mang... we are a major in mathematics! If we raise the difficulty of the problem, it is quite scary!"
Xu Mang shrank his head and said cautiously: "Professor Wang, I want to experience it!"
"..."
"..."
One is the dean of the mathematics department of Jiangda University, and the other is a professor of the mathematics department of Jiangda University. At this time, the two of them did not know what to do.
Unless he is asked to prove what Riemann's conjecture, Hodge's conjecture, BSD conjecture...this kind of world-class mathematics problem, general math problems, even if the Olympics are added to the front, it is estimated that it will be difficult to defeat Xu Mang.
"You are not in our range!" the professor said solemnly: "Others come here!"
however...
totally unexpected,
Xu Mang is a great master.
"This year's PUMaC champion, Yang Xiaoman from the Economics Department of Fuda, is my girlfriend... She can also challenge the so-called difficult problems of the Mathematics Department of Jiang University." Xu Mang said seriously: "Professor... we black Wind Shuangsha accept Jiang Da's challenge at any time!"
This...
How did these two evildoers come together?
The professor was very helpless. This Yang Xiaoman had heard about it. Unlike Xu Mang, who is a non-human being, Yang Xiaoman is almost a student's limit state. Nevertheless, it is also an invincible existence among students.
"I said why your kid likes to take the bar so much?" The professor said, "Forget it, you are our difficulty consultant head office, right?"
"can!"
"That would be fine!" Xu Mang said with a grin: "Professor, we are settled. I am your difficulty consultant."
...
After two days,
Xu Mang’s temporary office,
The individual professional papers for the Zhejiang Mathematical Olympiad were completed. Although they were all completed the day before yesterday, Xu Mang made some adjustments to the first edition papers to meet the requirements.
of course,
In the later stage, minor adjustments will be made, such as adjusting the difficulty again. Although the difficulty has been adjusted once, it is still difficult to explode in place.
"Ugh..."
"It seems that the so-called distribution of sub-questions is not prescribed by anyone, but forced." Xu Mang sighed. If the difficulty is lowered, the charm of this set of individual test papers will be lost.
Forget it!
Do whatever you love, let the high school students in Zhejiang also experience how helpless they are when faced with the problems of world-class competitions.
Immediately after,
Xu Mang began to write the papers for the team competition.
Compared with individual papers, the number of questions is reduced, and the five sets of papers need to be divided according to the difficulty.
With the difference in difficulty, the leading teachers can formulate reasonable players. This is a game of psychology and strength.
According to common sense,
Generally, the first set of papers is simple, and then increases the difficulty step by step, and then leads the teacher to arrange tactics.
at this time,
Xu Mang remembered the tactics tailored for himself in high school, called Xu Mang's game theory.
Not to mention,
High school mathematics teacher, Mr. Liang is simply a tactical genius. This method is conceivable. Let other players squeeze in a stepwise manner according to their own strength, and then fight the hardest shot. Even if they lose, it will be fine. The previous scores can be offset. The failure behind.
If you win... then you win.
of course,
I have never disappointed Teacher Liang.
Let's follow the rules, the game between psychology and strength is also a highlight of the game.
Xu Mang just picked up the pen and put it down within three seconds. He decided to see how the challenge papers were completed first, and play his role as a difficulty consultant.
moment,
Xu Mang came to a certain office.
Push the door in,
I saw the Professor Wang and the two students around him.
"Hello Professor Wang!"
"I'll take a look at how the challenge papers are done, and learn about it by the way." Xu Mang walked over with a smile.
This professor is very helpless ~EbookFREE.me~ but there is no way, who would allow him to be a so-called difficulty consultant.
however,
The two students next to the professor didn't know Xu Mang. They were a little curious when they saw his student's appearance, but they looked like something.
"what?"
"professor!"
"This question is very simple!" Xu Mang looked at it casually, and said seriously: "I will know how to solve the problem by scanning it with the white of my eye."
nonsense!
that is you!
The professor was speechless, and was interrupted by his student when he was about to speak.
"Why do you do two questions?" a student reminded him kindly.
......