From Almighty Scholar to Chief Scientist
Chapter 13 Ding Ping's Surprise
Chapter 13 Ding Ping's Surprise
On Monday, the senior three classes continued as usual.
Lin Xiao, as No.1 in the grade this time, also enjoyed the treatment of a top student. Even the female students sitting in the back seat came to ask him math problems.
And his appearance is also a little handsome, that is to say, the students in their rocket class are all good students, and they are all focused on their studies. If they go to ordinary classes, maybe there will be a few girls in the class chase him.
In this way, in the sound of "Lin Xueba", he gradually lost himself... Ahem, this is of course impossible, he just thinks more and more that learning is really the most important thing.
So, he studied hard for another day, and he didn't stop until the afternoon when the mathematics competition training class started.
Then, he took last night's league papers, along with paper, pens and teaching materials, and headed to the training class.
Jiang Jie was also going, so he happened to be on the same path as Jiang Jie.
Jiang Jie looked at Lin Xiao who walked to the laboratory building with him, and asked suspiciously: "Lin Xiao, are you coming to the laboratory building too?"
Lin Xiao nodded, "That's right, Teacher Ding Ping asked me to come to the mathematics competition training class, so I came here."
Jiang Jie was taken aback for a moment, showing a look of "I heard you right", and said, "Mr. Ding, did you come to attend the training class?"
"Yes."
Seeing Lin Xiao nodding, Jiang Jie was even more confused: "What about Xu Lin? He didn't come?"
"Why don't he come? Teacher Ding only called me here alone. I was at Teacher Ding's place last night. He tutored me and then asked me to come to the training class."
Jiang Jie was even more puzzled. Teacher Ding actually tutored Lin Xiao alone?
He can't understand.
Where did Lin Xiao attract Teacher Ding?
Is Lin Xiao good at mathematics?
Didn't it mean that he got full marks in this exam? He could have gotten full marks in the exam, but because when he was done with the last question, he saw that Lin Xiao had already finished handing in the paper, and he was a little anxious, so there was a little problem. 2 points were deducted.
Otherwise, he would definitely be able to get full marks.
What's more, in the past, when Lin Xiao didn't get full marks, he also got full marks.
So the rest of the way, he was so depressed in his heart.
Soon, the two of them arrived at the classroom of the training class. There were already about a dozen students in it, most of whom were sophomores, because more sophomores participated in the competition.
And Ding Ping was already sitting on the podium. When he saw Lin Xiao arriving, he waved to Lin Xiao and said, "Student Lin Xiao, come here."
"Teacher Ding." Lin Xiao greeted and walked over.
When Jiang Jie saw that Ding Ping actually called Lin Xiao over directly, with a smile on his face, he looked very close, and he was even more confused. What happened to Ding Ping to suddenly favor Lin Xiao so much? up?
So he pretended to be Lin Xiao's friend and joined him, wanting to hear what Ding Ping wanted to say to Lin Xiao.
"Did you do that paper after you went back last night?" Ding Ping asked with a smile.
"Done."
"Is the last question difficult?"
"Well, it was quite difficult. It took me more than 60 minutes to write it."
"Well, don't be discouraged, this question is actually... huh?!"
After hearing the first half of Lin Xiao's sentence, Ding Ping thought that Lin Xiao really didn't do it, so he just finished halfway, and suddenly reacted.
"You said you wrote it?!"
Lin Xiao nodded: "Well, it's written."
"You... you show me." Ding Ping was shocked by Lin Xiao's talent last night, and now he heard that he actually solved the "Legendary Sixth Question", and his heart suddenly jumped. I was so surprised that I couldn't speak well.
Seeing Ding Ping's reaction, Lin Xiao couldn't help but wonder what was the origin of that question last night?
He has always wondered why he was rewarded by the system after he wrote this question. Although he did use a method that he himself thought was quite brilliant, the system also said that the question was very important to him. At the current stage, it is quite difficult.
Maybe it's mainly because that question is quite difficult?
Soon, he took out the paper and handed it to Ding Ping.
Ding Ping immediately turned to the last page and read it.
And Jiang Jie next to him was also a little curious about how difficult the question was, which made Teacher Ding react like this.
Soon, he saw the question and noticed the mark behind the question number. He couldn't help but said, "It's actually an IMO question? The sixth question in 1988... Hey, I don't remember that this is a particularly difficult question." ?"
Lin Xiaojing and Jiang Jie reminded him that he noticed that the source of the question was marked after the question number.
"It turned out to be an IMO question, so I said why it's so difficult! I almost thought that the league exams are all about this kind of question." He was also a little surprised, but he finally felt relieved. In this way, the league still looks pretty good. Simple thing.
But hearing what he said, Ding Ping asked suspiciously: "Don't you know that this question is an IMO question?"
Lin Xiao: "I don't know, I didn't notice the label behind this."
Seeing that Lin Xiao didn't seem to be pretending, Ding Ping couldn't help muttering in his heart, could he really do this question?
Ding Ping began to watch Lin Xiao's proof process from the beginning.
Well, the method of proof is used, assuming that K is not a square number, and then by proving that this assumption is contradictory, that is, proving that K is a square number, the proof is completed, and then the formula is substituted and similar items are combined to simplify the whole formula into the form of a quadratic equation in one variable, followed by...
Seeing this step, Ding Ping gradually frowned.
The method used in this problem-solving idea is... Weider's theorem, and the method of infinite descent.
This method is also called Veda jumping, which is a new problem-solving method that emerged from the IMO competition that year.
In the IMO in 1988, a contestant used this method for the first time to solve this extremely difficult number theory problem. Therefore, that contestant won the special award of that year's competition, and this solution The problem-solving method has also become a problem-solving method that students participating in the Olympiad must master in the future.
This kind of problem-solving thinking actually uses the knowledge at the junior high school level, but if you want to use these two methods to the extreme, it is not something that junior high school students can write. The later Fields Medal winner Tao Terence, at the beginning He was only 12 years old when he participated in the IMO and won the gold medal. At the age of 12 in Huaguo, he was in the sixth grade or the first grade of junior high school, but can it be said that Terence Tao is at the junior high school level?
Obviously impossible.
Ding Ping thought of what Lin Xiao said just now. He didn't know that this question was an IMO question. Does this mean that he also came up with this idea of solving the problem himself?
If this is true, it would be a big deal. If Lin Xiao was also in that competition, wouldn't he also be awarded that special award?
But is this true?
Ding Ping recalled the talent Lin Xiao showed last night, and finally chose to believe him.
In any case, trusting a student is what he should do as a teacher.
However, Jiang Jie next to him didn't think so.
He knew this problem before and knew its difficulty, but now Lin Xiao actually said that he didn't know this problem, so he solved it in this way.
Lin Xiao said he didn't know about such a coincidence, so he really didn't know?
He felt that Lin Xiao must be faking it.
(End of this chapter)
On Monday, the senior three classes continued as usual.
Lin Xiao, as No.1 in the grade this time, also enjoyed the treatment of a top student. Even the female students sitting in the back seat came to ask him math problems.
And his appearance is also a little handsome, that is to say, the students in their rocket class are all good students, and they are all focused on their studies. If they go to ordinary classes, maybe there will be a few girls in the class chase him.
In this way, in the sound of "Lin Xueba", he gradually lost himself... Ahem, this is of course impossible, he just thinks more and more that learning is really the most important thing.
So, he studied hard for another day, and he didn't stop until the afternoon when the mathematics competition training class started.
Then, he took last night's league papers, along with paper, pens and teaching materials, and headed to the training class.
Jiang Jie was also going, so he happened to be on the same path as Jiang Jie.
Jiang Jie looked at Lin Xiao who walked to the laboratory building with him, and asked suspiciously: "Lin Xiao, are you coming to the laboratory building too?"
Lin Xiao nodded, "That's right, Teacher Ding Ping asked me to come to the mathematics competition training class, so I came here."
Jiang Jie was taken aback for a moment, showing a look of "I heard you right", and said, "Mr. Ding, did you come to attend the training class?"
"Yes."
Seeing Lin Xiao nodding, Jiang Jie was even more confused: "What about Xu Lin? He didn't come?"
"Why don't he come? Teacher Ding only called me here alone. I was at Teacher Ding's place last night. He tutored me and then asked me to come to the training class."
Jiang Jie was even more puzzled. Teacher Ding actually tutored Lin Xiao alone?
He can't understand.
Where did Lin Xiao attract Teacher Ding?
Is Lin Xiao good at mathematics?
Didn't it mean that he got full marks in this exam? He could have gotten full marks in the exam, but because when he was done with the last question, he saw that Lin Xiao had already finished handing in the paper, and he was a little anxious, so there was a little problem. 2 points were deducted.
Otherwise, he would definitely be able to get full marks.
What's more, in the past, when Lin Xiao didn't get full marks, he also got full marks.
So the rest of the way, he was so depressed in his heart.
Soon, the two of them arrived at the classroom of the training class. There were already about a dozen students in it, most of whom were sophomores, because more sophomores participated in the competition.
And Ding Ping was already sitting on the podium. When he saw Lin Xiao arriving, he waved to Lin Xiao and said, "Student Lin Xiao, come here."
"Teacher Ding." Lin Xiao greeted and walked over.
When Jiang Jie saw that Ding Ping actually called Lin Xiao over directly, with a smile on his face, he looked very close, and he was even more confused. What happened to Ding Ping to suddenly favor Lin Xiao so much? up?
So he pretended to be Lin Xiao's friend and joined him, wanting to hear what Ding Ping wanted to say to Lin Xiao.
"Did you do that paper after you went back last night?" Ding Ping asked with a smile.
"Done."
"Is the last question difficult?"
"Well, it was quite difficult. It took me more than 60 minutes to write it."
"Well, don't be discouraged, this question is actually... huh?!"
After hearing the first half of Lin Xiao's sentence, Ding Ping thought that Lin Xiao really didn't do it, so he just finished halfway, and suddenly reacted.
"You said you wrote it?!"
Lin Xiao nodded: "Well, it's written."
"You... you show me." Ding Ping was shocked by Lin Xiao's talent last night, and now he heard that he actually solved the "Legendary Sixth Question", and his heart suddenly jumped. I was so surprised that I couldn't speak well.
Seeing Ding Ping's reaction, Lin Xiao couldn't help but wonder what was the origin of that question last night?
He has always wondered why he was rewarded by the system after he wrote this question. Although he did use a method that he himself thought was quite brilliant, the system also said that the question was very important to him. At the current stage, it is quite difficult.
Maybe it's mainly because that question is quite difficult?
Soon, he took out the paper and handed it to Ding Ping.
Ding Ping immediately turned to the last page and read it.
And Jiang Jie next to him was also a little curious about how difficult the question was, which made Teacher Ding react like this.
Soon, he saw the question and noticed the mark behind the question number. He couldn't help but said, "It's actually an IMO question? The sixth question in 1988... Hey, I don't remember that this is a particularly difficult question." ?"
Lin Xiaojing and Jiang Jie reminded him that he noticed that the source of the question was marked after the question number.
"It turned out to be an IMO question, so I said why it's so difficult! I almost thought that the league exams are all about this kind of question." He was also a little surprised, but he finally felt relieved. In this way, the league still looks pretty good. Simple thing.
But hearing what he said, Ding Ping asked suspiciously: "Don't you know that this question is an IMO question?"
Lin Xiao: "I don't know, I didn't notice the label behind this."
Seeing that Lin Xiao didn't seem to be pretending, Ding Ping couldn't help muttering in his heart, could he really do this question?
Ding Ping began to watch Lin Xiao's proof process from the beginning.
Well, the method of proof is used, assuming that K is not a square number, and then by proving that this assumption is contradictory, that is, proving that K is a square number, the proof is completed, and then the formula is substituted and similar items are combined to simplify the whole formula into the form of a quadratic equation in one variable, followed by...
Seeing this step, Ding Ping gradually frowned.
The method used in this problem-solving idea is... Weider's theorem, and the method of infinite descent.
This method is also called Veda jumping, which is a new problem-solving method that emerged from the IMO competition that year.
In the IMO in 1988, a contestant used this method for the first time to solve this extremely difficult number theory problem. Therefore, that contestant won the special award of that year's competition, and this solution The problem-solving method has also become a problem-solving method that students participating in the Olympiad must master in the future.
This kind of problem-solving thinking actually uses the knowledge at the junior high school level, but if you want to use these two methods to the extreme, it is not something that junior high school students can write. The later Fields Medal winner Tao Terence, at the beginning He was only 12 years old when he participated in the IMO and won the gold medal. At the age of 12 in Huaguo, he was in the sixth grade or the first grade of junior high school, but can it be said that Terence Tao is at the junior high school level?
Obviously impossible.
Ding Ping thought of what Lin Xiao said just now. He didn't know that this question was an IMO question. Does this mean that he also came up with this idea of solving the problem himself?
If this is true, it would be a big deal. If Lin Xiao was also in that competition, wouldn't he also be awarded that special award?
But is this true?
Ding Ping recalled the talent Lin Xiao showed last night, and finally chose to believe him.
In any case, trusting a student is what he should do as a teacher.
However, Jiang Jie next to him didn't think so.
He knew this problem before and knew its difficulty, but now Lin Xiao actually said that he didn't know this problem, so he solved it in this way.
Lin Xiao said he didn't know about such a coincidence, so he really didn't know?
He felt that Lin Xiao must be faking it.
(End of this chapter)
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