All-round mathematician
Chapter 26 Answers to the world's three major mathematical problems
Chapter 26 Answers to the world's three major mathematical problems
Yang Fan is going to wait in the corridor, the next test will start in 10 minutes.
The students asked their acquaintances to check the answers, some sighed, some were full of confidence, with various expressions.
At this time, Feng Yao brought his four disciples to find him.The faces of the four were extremely ugly, and Feng Yao also had a gloomy face.
"Yang Fan, how did you do in the exam?" Feng Yao asked with concern.
"It's not bad, the calculation amount of the question is relatively large, and the difficulty is medium to high."
"Oh, in this case..." Feng Yao hesitated, finally made up his mind, and took out a paper, "If you are confident, look at the answer. I did the paper just now, you can compare."
The four disciples had been hit just now, Feng Yao was afraid that Yang Fan would not accept the result, so he hesitated.Seeing that he is full of confidence now, it is still decided to let him be right.
Yang Fan compared Feng Yao's answer with his own, and one of them was right.He didn't want to be too exaggerated, and said, "Teacher Feng, for the last question, I omitted two steps. I don't know if points will be deducted."
Feng Yao was stunned for a moment, suppressed his surprise, and pretended to be gloomy: "Yang Fan, I also just received the news that this question was written by Ge Jun. Are you sure you only have doubts about the last question?"
Who is Ge Jun?The millions of candidates who have experienced the difficulty of his questions will definitely blacken him for a lifetime.When he received the news, Feng Yao was ready.Sure enough, Ge Jun is a pervert.
The difficulty of these topics is indeed above average, but it requires divergent thinking, and the amount of calculation is very large, and there is not enough time to complete it from beginning to end.
"Yang Fan, have you finished? I didn't have time to write the last two questions. It's over, it's over, I didn't expect to meet him, it's too late." Cui Qiming gritted his teeth and cursed.
Ye Haoran stretched out a finger, and it seemed that there was a question that he didn't come to do urgently.The gap between the other two is even bigger.
Yang Fan would never say that he finished it the first time, and it took him three or ten minutes to check it two or three times, trying to figure out the idea of the person who made the question while being bored.
"For the last question, even if you omit the steps and the answer is correct, you will be deducted up to a few points. Then, Yang Fan, are you sure that it will be above 115?" Feng Yao asked again.
"Almost." Yang Fan murmured in his heart, "Teacher Feng, the steps of your last question are cumbersome. It's not that I'm missing, it's that you have more."
"It's not bad. Keep going. You guys have to work hard. Now that it's over, relax. Remember, as long as the total score of the two rounds is 150 and [-] points, you can get a third-class general. You have to take care of the rest. "
The five left, and Yang Fan was stunned. He actually underestimated himself, so he had to be confident. This time, he really felt that the so-called science genius, the so-called number one in the grade, could only see his back .
The second round of exams begins and the papers are distributed.The test questions are four answer questions, the first two questions are 40 points each, and the last two questions are 50 points each, with a full score of 180 points. The test time is 2 hours.
It can be seen from the time that the difficulty of the second round, four questions, took 150 minutes.
Normally speaking, it is definitely from easy to difficult, and it is still early, so Yang Fan decided to try it himself to see how far he can go.
For the first one, it took 5 minutes to sort out my thoughts and calculate while doing the calculation. After checking the calculation, I checked the time, which was exactly 10 minutes.
Yang Fan was startled, a little interesting, the first question took so long.Looking up and looking around, most of the students were biting their noses and staring in a daze with sad faces.
In the second round, most of the students made soy sauce.Continue to tackle the second problem, the difficulty rises steadily, and the amount of calculation increases.
Fortunately, I have a clear mind and can do it.After bumping and bumping, it took half an hour and it was finally completed.
The third question, halfway through, can't go on anyway.The steps are not bad, the conditions are clearly explained, but a little flash is missing.
Yang Fan dawdled for 10 minutes and estimated his total score. Even if he didn't do it now, he would have more than 2 points, and he would not be able to escape the second prize.
Do you want to continue?If you do it yourself, it is still an endless loop, and time is running out.
Beliefs are at war, but I decide to forgive myself for my little tricks.First, this topic is very interesting. Yang Fan is sure that if he doesn't solve it now, he will not sleep well for a few days and nights, hating his own stupidity.
Second, I will definitely detach myself in the future and leave those people behind. Now, it is not impossible for me to use my potential in advance.Another advantage is that the spirit can be infected, and the attitude of those masters will give feedback.
"Chen Jingrun is possessed."
The whole person was in a state of slump, and the questions were swept away, and the fog was seen through one by one.Yang Fan writes like a godsend.
The last question and a half took a total of 15 minutes, mainly due to the huge amount of calculations and extremely cumbersome.
The train of thought kept up with the handwriting, without any pause at all, heartily.Yang Fan put down his pen and recalculated, why he couldn't think of it at the time, but the master can be so easy.
After this imitation, Yang Fan found that his background was not enough. The second round was out of the syllabus. For the last two questions, if he was a senior high school student, he could only solve some leftovers.To be able to do it, at least the sophomore level.
The master possessed himself and checked again. It took 10 minutes. Yang Fan was satisfied, and it should be a perfect score again.The second time, don't try it.
Looking at the time, there are four and ten minutes left.Can't hand in the paper, what to do.
Not knowing where the idea came from, he asked the invigilator for another piece of draft paper to write and draw.
After 2 minutes, he raised his hand again and asked for dozens of draft papers from the invigilator.
The teacher changed his face on the spot. For the sake of classroom discipline, he still didn't speak, but stood by the side to see what the student wrote.
The handwriting is vigorous and majestic, and even the numbers have a different kind of beauty when you look at them.The teacher lingered on the student's face. This child is definitely a top student. With his good handwriting, he must have practiced for a long time.
Looking at the content again, he is also a mathematics teacher, and he is also a math teacher. After scanning a few lines, he found that the content was not on the topic at all.
What the hell are you writing?
Any sufficiently large even number can be expressed as the sum of two prime numbers.
What's this?This is Goldbach's conjecture.
What happened to this student, in such an important game, he made some meaningless moves.
The most cutting-edge contribution of Goldbach's conjecture is that Chen Jingrun proved 1966+1 in 2, which caused a sensation in the world and was recognized by the whole world, known as "Chen's Theorem."
And the most important 1+1 proof, countless masters racked their brains and gained nothing.
Seeing that the blank papers were covered, the invigilator made a move that he didn't even understand. He took out half of the draft paper from the podium and put it beside Yang Fan.
He looked at the name of the school on the test paper, walked to the door of the classroom, and reported the situation to the teacher of the inspection team.
Reported level by level, the inspection team found Feng Yao who led the team.
"What are you talking about? My student is doing Goldbach's conjecture? What about his paper?"
"It's already finished. The invigilator looked at it and said it might be a perfect score."
"In that case, let him do it well." Feng Yao's rigid face was unprecedentedly relaxed.
"Your student, the current situation is very wrong. I can't explain it clearly. You can go and see for yourself."
That's okay, Feng Yao knew Yang Fan's examination room, so he let go and ran over.When he arrived at the door, he glanced at an invigilator beside Yang Fan, his eyes moved with his handwriting, the teacher had lost his mind, the focus was distorted, and the pupils were dilated.
As for Yang Fan, his condition was even worse, his eyes were congested, his face was pale, and his forehead was bulging with veins.I haven't seen such a change in just one hour.
Feng Yao understood that he was possessed by a demon, and fell into a spiritual death.Standing at the door, he could feel the urgency in the manic aura emanating from his whole body.
"Hurry up, hurry up, there's no time." Yang Fan has been infected by Chen Jingrun's spirit, and his mind is on Goldbach's conjecture. For half an hour, his brain is burning wildly, extracting all his energy.
"Not good, not good." Feng Yao stomped his feet anxiously. This is in the examination room, and there are still forty students competing, so they cannot be disturbed.
"Hurry up and call an ambulance. When the bell rings, it's better to have someone knock him out." Feng Yao ordered the inspection team, and then took out his mobile phone: "Principal, something happened to student Yang Fan..."
"Hurry up and notify his parents, I'll be here now."
There are more and more teachers gathering in the corridor. Hearing that this is all the teachers, they are all curious.During the competition, some students actually made the Goldbach conjecture?That kind of thing is something that students can touch?
Who is it?The source of the river?Gao Yang?
The teachers piled together were all discussing in low voices.
"Does anyone know the progress? Is it really proving the conjecture?"
"Shh, take it easy, look at the pile of manuscripts, I saw it earlier, more than twenty sheets are full."
"Which school is it from? I've never heard of the name Yang Fan."
"The ones from the attached middle school were brought out by Feng Yao himself."
As soon as Feng Yao was mentioned, he immediately understood.Four years ago, he was the one who led a student to overwhelm the other three famous schools. This is an absolute shame.
It is acceptable for everyone to take turns to sit on the bank in the first two rounds. Every time they compete, they leave a lot of people behind. This is the desperation that deeply hits that class of math geniuses.
Now, I'm afraid there will be another one.This Feng Yao, how could he be so lucky.
The exam venue was No. [-] Middle School, and the fat principal gave Feng Yao a roll of his eyes. At that time, he paid twice his original salary, but he didn't want to come.Ninth High School is number one in Wuzhou, no one can deny it, it's really ignorant.
He took another look at the students in the classroom, that kind of obsession, that kind of seriousness, the more he looked at it, the more he liked it, he just started the third year of high school, can he transfer to another school?
(End of this chapter)
Yang Fan is going to wait in the corridor, the next test will start in 10 minutes.
The students asked their acquaintances to check the answers, some sighed, some were full of confidence, with various expressions.
At this time, Feng Yao brought his four disciples to find him.The faces of the four were extremely ugly, and Feng Yao also had a gloomy face.
"Yang Fan, how did you do in the exam?" Feng Yao asked with concern.
"It's not bad, the calculation amount of the question is relatively large, and the difficulty is medium to high."
"Oh, in this case..." Feng Yao hesitated, finally made up his mind, and took out a paper, "If you are confident, look at the answer. I did the paper just now, you can compare."
The four disciples had been hit just now, Feng Yao was afraid that Yang Fan would not accept the result, so he hesitated.Seeing that he is full of confidence now, it is still decided to let him be right.
Yang Fan compared Feng Yao's answer with his own, and one of them was right.He didn't want to be too exaggerated, and said, "Teacher Feng, for the last question, I omitted two steps. I don't know if points will be deducted."
Feng Yao was stunned for a moment, suppressed his surprise, and pretended to be gloomy: "Yang Fan, I also just received the news that this question was written by Ge Jun. Are you sure you only have doubts about the last question?"
Who is Ge Jun?The millions of candidates who have experienced the difficulty of his questions will definitely blacken him for a lifetime.When he received the news, Feng Yao was ready.Sure enough, Ge Jun is a pervert.
The difficulty of these topics is indeed above average, but it requires divergent thinking, and the amount of calculation is very large, and there is not enough time to complete it from beginning to end.
"Yang Fan, have you finished? I didn't have time to write the last two questions. It's over, it's over, I didn't expect to meet him, it's too late." Cui Qiming gritted his teeth and cursed.
Ye Haoran stretched out a finger, and it seemed that there was a question that he didn't come to do urgently.The gap between the other two is even bigger.
Yang Fan would never say that he finished it the first time, and it took him three or ten minutes to check it two or three times, trying to figure out the idea of the person who made the question while being bored.
"For the last question, even if you omit the steps and the answer is correct, you will be deducted up to a few points. Then, Yang Fan, are you sure that it will be above 115?" Feng Yao asked again.
"Almost." Yang Fan murmured in his heart, "Teacher Feng, the steps of your last question are cumbersome. It's not that I'm missing, it's that you have more."
"It's not bad. Keep going. You guys have to work hard. Now that it's over, relax. Remember, as long as the total score of the two rounds is 150 and [-] points, you can get a third-class general. You have to take care of the rest. "
The five left, and Yang Fan was stunned. He actually underestimated himself, so he had to be confident. This time, he really felt that the so-called science genius, the so-called number one in the grade, could only see his back .
The second round of exams begins and the papers are distributed.The test questions are four answer questions, the first two questions are 40 points each, and the last two questions are 50 points each, with a full score of 180 points. The test time is 2 hours.
It can be seen from the time that the difficulty of the second round, four questions, took 150 minutes.
Normally speaking, it is definitely from easy to difficult, and it is still early, so Yang Fan decided to try it himself to see how far he can go.
For the first one, it took 5 minutes to sort out my thoughts and calculate while doing the calculation. After checking the calculation, I checked the time, which was exactly 10 minutes.
Yang Fan was startled, a little interesting, the first question took so long.Looking up and looking around, most of the students were biting their noses and staring in a daze with sad faces.
In the second round, most of the students made soy sauce.Continue to tackle the second problem, the difficulty rises steadily, and the amount of calculation increases.
Fortunately, I have a clear mind and can do it.After bumping and bumping, it took half an hour and it was finally completed.
The third question, halfway through, can't go on anyway.The steps are not bad, the conditions are clearly explained, but a little flash is missing.
Yang Fan dawdled for 10 minutes and estimated his total score. Even if he didn't do it now, he would have more than 2 points, and he would not be able to escape the second prize.
Do you want to continue?If you do it yourself, it is still an endless loop, and time is running out.
Beliefs are at war, but I decide to forgive myself for my little tricks.First, this topic is very interesting. Yang Fan is sure that if he doesn't solve it now, he will not sleep well for a few days and nights, hating his own stupidity.
Second, I will definitely detach myself in the future and leave those people behind. Now, it is not impossible for me to use my potential in advance.Another advantage is that the spirit can be infected, and the attitude of those masters will give feedback.
"Chen Jingrun is possessed."
The whole person was in a state of slump, and the questions were swept away, and the fog was seen through one by one.Yang Fan writes like a godsend.
The last question and a half took a total of 15 minutes, mainly due to the huge amount of calculations and extremely cumbersome.
The train of thought kept up with the handwriting, without any pause at all, heartily.Yang Fan put down his pen and recalculated, why he couldn't think of it at the time, but the master can be so easy.
After this imitation, Yang Fan found that his background was not enough. The second round was out of the syllabus. For the last two questions, if he was a senior high school student, he could only solve some leftovers.To be able to do it, at least the sophomore level.
The master possessed himself and checked again. It took 10 minutes. Yang Fan was satisfied, and it should be a perfect score again.The second time, don't try it.
Looking at the time, there are four and ten minutes left.Can't hand in the paper, what to do.
Not knowing where the idea came from, he asked the invigilator for another piece of draft paper to write and draw.
After 2 minutes, he raised his hand again and asked for dozens of draft papers from the invigilator.
The teacher changed his face on the spot. For the sake of classroom discipline, he still didn't speak, but stood by the side to see what the student wrote.
The handwriting is vigorous and majestic, and even the numbers have a different kind of beauty when you look at them.The teacher lingered on the student's face. This child is definitely a top student. With his good handwriting, he must have practiced for a long time.
Looking at the content again, he is also a mathematics teacher, and he is also a math teacher. After scanning a few lines, he found that the content was not on the topic at all.
What the hell are you writing?
Any sufficiently large even number can be expressed as the sum of two prime numbers.
What's this?This is Goldbach's conjecture.
What happened to this student, in such an important game, he made some meaningless moves.
The most cutting-edge contribution of Goldbach's conjecture is that Chen Jingrun proved 1966+1 in 2, which caused a sensation in the world and was recognized by the whole world, known as "Chen's Theorem."
And the most important 1+1 proof, countless masters racked their brains and gained nothing.
Seeing that the blank papers were covered, the invigilator made a move that he didn't even understand. He took out half of the draft paper from the podium and put it beside Yang Fan.
He looked at the name of the school on the test paper, walked to the door of the classroom, and reported the situation to the teacher of the inspection team.
Reported level by level, the inspection team found Feng Yao who led the team.
"What are you talking about? My student is doing Goldbach's conjecture? What about his paper?"
"It's already finished. The invigilator looked at it and said it might be a perfect score."
"In that case, let him do it well." Feng Yao's rigid face was unprecedentedly relaxed.
"Your student, the current situation is very wrong. I can't explain it clearly. You can go and see for yourself."
That's okay, Feng Yao knew Yang Fan's examination room, so he let go and ran over.When he arrived at the door, he glanced at an invigilator beside Yang Fan, his eyes moved with his handwriting, the teacher had lost his mind, the focus was distorted, and the pupils were dilated.
As for Yang Fan, his condition was even worse, his eyes were congested, his face was pale, and his forehead was bulging with veins.I haven't seen such a change in just one hour.
Feng Yao understood that he was possessed by a demon, and fell into a spiritual death.Standing at the door, he could feel the urgency in the manic aura emanating from his whole body.
"Hurry up, hurry up, there's no time." Yang Fan has been infected by Chen Jingrun's spirit, and his mind is on Goldbach's conjecture. For half an hour, his brain is burning wildly, extracting all his energy.
"Not good, not good." Feng Yao stomped his feet anxiously. This is in the examination room, and there are still forty students competing, so they cannot be disturbed.
"Hurry up and call an ambulance. When the bell rings, it's better to have someone knock him out." Feng Yao ordered the inspection team, and then took out his mobile phone: "Principal, something happened to student Yang Fan..."
"Hurry up and notify his parents, I'll be here now."
There are more and more teachers gathering in the corridor. Hearing that this is all the teachers, they are all curious.During the competition, some students actually made the Goldbach conjecture?That kind of thing is something that students can touch?
Who is it?The source of the river?Gao Yang?
The teachers piled together were all discussing in low voices.
"Does anyone know the progress? Is it really proving the conjecture?"
"Shh, take it easy, look at the pile of manuscripts, I saw it earlier, more than twenty sheets are full."
"Which school is it from? I've never heard of the name Yang Fan."
"The ones from the attached middle school were brought out by Feng Yao himself."
As soon as Feng Yao was mentioned, he immediately understood.Four years ago, he was the one who led a student to overwhelm the other three famous schools. This is an absolute shame.
It is acceptable for everyone to take turns to sit on the bank in the first two rounds. Every time they compete, they leave a lot of people behind. This is the desperation that deeply hits that class of math geniuses.
Now, I'm afraid there will be another one.This Feng Yao, how could he be so lucky.
The exam venue was No. [-] Middle School, and the fat principal gave Feng Yao a roll of his eyes. At that time, he paid twice his original salary, but he didn't want to come.Ninth High School is number one in Wuzhou, no one can deny it, it's really ignorant.
He took another look at the students in the classroom, that kind of obsession, that kind of seriousness, the more he looked at it, the more he liked it, he just started the third year of high school, can he transfer to another school?
(End of this chapter)
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