flstandardbreds Chapter 138 Even top students have grades 369
Chapter 138 Even top students have grades 369
Lin Chen's handwriting on the blackboard has improved considerably in the past two days because he has been practicing calligraphy.
His handwriting of numbers and English letters was exceptionally neat.
In addition, he wrote almost without stopping.
Even when the people below are watching him answer questions, they feel it's a pleasure to watch.
Of course, the main people who felt this way were Chen Xiaoxiao and the two teachers.
As for the other four members of the math Olympiad team, they all stared wide-eyed.
When they first encountered this problem, they were almost at a loss for where to begin.
But Lin Chen answered it in the blink of an eye?
For a moment, the four of them fell silent.
"He probably hasn't done this problem before, has he?"
"Isn't this a problem we just did today?"
"Idiot, don't forget what Captain Xiao said: they practiced at home before, and they still had to do practice problems!"
"Yes! He must have done it, otherwise how could he have given an answer in such a short time?"
"I didn't even understand the question in that short time! How could he have answered it so quickly?"
"There's definitely something fishy going on here!"
……
Looking at the four indignant people, Xiao Li felt somewhat helpless.
Failed!
He knew, of course, that Lin Chen had not done today's question before.
But Lin Chen answered the question too quickly, so much so that if he didn't know the answer, he would have suspected that Lin Chen had done the question beforehand.
Just as Xiao Li was about to say a few words in Lin Chen's defense, Chen Xiaoxiao said:
"If you don't believe in Lin Chen's abilities, then give him the challenges yourself."
"We'll create our own questions?"
"That's right, you guys set the questions yourselves, Lin Chen couldn't have known about them beforehand, could he?"
"This one……"
Just as the four hesitated, Xiao Li clapped his hands, attracting everyone's attention.
"Chen Xiaoxiao is right. Yang Zongyuan, why don't you go and pay for it?"
Yang Zongyuan, whose name was called, stood up, bit his lip, hesitated for a moment, and finally walked up to the podium.
Since two key players were poached, Yang Zongyuan has been the strongest player among the remaining four members of the national Olympic team.
The questions he posed were enough to convince the other three.
"Yang Zongyuan! Keep it up! Give this kid the toughest challenge yet!"
Chen Xiaoxiao looked at Lin Chen expectantly: "Lin Chen, good luck!"
Lin Chen smiled slightly and stepped aside.
Yang Zongyuan picked up the chalk, pondered for a while, and then began to write.
设 a和b是正整数，使得 ab+ 1整除 a^2+ b^2。证明：（a^2+ b^2）/（ab+ 1）是完全平方数。
Putting down the chalk, Yang Zongyuan clapped his hands and looked confidently at Lin Chen:
"How about it? Have you seen this question before?"
Lin Chen shook his head.
He didn't know that this problem was actually known as the most difficult math olympiad problem in history.
When this problem first appeared, none of the six members of the Olympiad number theory committee could solve it. They specifically sought help from the four best number theory experts in the host country, but even the experts couldn't solve it.
In the final competition, this problem received an average score of only 0.6 points, making it the lowest-scoring problem in the history of the world.
When the other three members of the math Olympiad team saw that Yang Zongyuan had actually brought out this problem, they were all stunned for a moment.
"This is the question? Yang Zongyuan isn't going to show the other side any mercy?"
"When I first saw the answer to this question, I was completely baffled. Will this kid be able to do it?"
"Impossible! Have you forgotten that Yang Zongyuan found this problem himself? The training course never even covered this problem!"
Just when the three members of the math Olympiad team were confident that Lin Chen wouldn't be able to solve the problem...
Xiao Li was also a little worried about whether Lin Chen could answer the question.
He naturally recognized the problem, which was known as the most difficult math olympiad problem in history.
At the time, this question was clearly beyond the scope of the curriculum, which caused a lot of controversy and trouble. Since then, no similar questions have appeared in the International Mathematical Olympiad.
Therefore, their math Olympiad team has never included this question in their training tests.
"Chen Xiaoxiao, have you and Lin Chen done this question before?"
Chen Xiaoxiao shook her head: "We haven't done this before, but Teacher Xiao, judging from Lin Chen's expression, he should already know how to do this problem?"
"what?"
Xiao Li looked at Lin Chen with a puzzled expression.
Upon hearing her words, the three members of the math Olympiad team also turned to look at the podium.
Sure enough, Lin Chen's lips curled up slightly, as if he had the problem in his hands.
"This problem is a bit tricky... but there are quite a few solutions. I can give you three to start..."
"The simplest method is to use proof by contradiction..."
Yang Zongyuan was stunned when he heard Lin Chen's words.
"Wait! What did you just say?"
"I mean, using proof by contradiction."
Yang Zongyuan immediately shook his head: "Not that sentence, the previous one!"
"I said there are quite a few solutions. Can I give you three to start?"
Three kinds?!
Yang Zongyuan's eyes nearly popped out of their sockets.
Back then, even real math professors couldn't answer this question.
Lin Chen actually offered three solutions right off the bat?
The other three team members looked at each other in bewilderment.
"Three solutions? How is that possible? Is he joking?"
"Don't be so surprised. I'll just write it down for you."
Lin Chen waved his hand.
Yang Zongyuan's lips twitched.
Is this just a case of making a fuss over nothing?
This was once an Olympiad math problem that averaged less than 1 point on average!
How come it sounds so simple in your mouth?
He turned around and carefully examined Lin Chen's writing on the blackboard.
Others also walked over to the podium to watch up close.
"The first method is proof by contradiction..."
"Assuming (a^2 + b^2) / (ab + 1) is not a perfect square, then let M, N..."
The solution to the first proof by contradiction was exactly what Yang Zongyuan and his colleagues already knew.
Lin Chen's line of thought was exactly the same as the standard answer they knew.
Yang Zongyuan and others couldn't help but wonder if he had really figured out the problem completely.
Soon, Lin Chen finished writing the first method.
"So, was my answer correct?"
Yang Zongyuan nodded: "Your answer is correct... but this question was from the International Mathematical Olympiad! You may have done it before, just like me!"
"I knew you'd be stubborn. Well then, here's another solution... using algebraic manipulation..."
Lin Chen smiled faintly and began writing again:
"Solution two, prove it using Vieta's jump..."
Veda's Leap?
What it is?
Yang Zongyuan and the others were completely bewildered when they looked at the formula written by Lin Chen.
Xiao Li, standing to the side, explained with a wry smile: "Vieta's jump method is a technique based on the relationship between the roots and coefficients of a quadratic equation, often used to solve divisibility problems in number theory."
Yang Zongyuan and the others gaped, speechless for a moment.
This method is clearly beyond the scope of the subject, isn't it? Isn't this part of number theory?
They're just high school students, how could they possibly know this?
But all four of them forgot that Lin Chen was actually a high school student!
A moment later, Lin Chen finished writing the proof and turned around to ask, "So, is there a problem with this second solution?"
Yang Zongyuan was speechless when Lin Chen asked him that question.
What the hell are you asking?!
I don't understand your answer at all, so how can I know if it's right or wrong?
The others were even more direct: "Lin Chen, we haven't learned your method before, we can't even understand your steps."
"Um... I thought you guys could do it..."
After Lin Chen said that, the four math Olympiad team members almost cried.
For the first time, they realized that even among top students, there are different levels.
They had always thought of themselves as the best among their peers.
But now the four of them have realized it.
They are all top students, but the gap between them and Lin Chen seems to be just as big as the gap between others and them!