I just want to be a quiet scholar
Chapter 70 Directional Recommendations
Chapter 70 Directional Recommendations
During lunch time, Sun Erxiong didn't discuss any specific math problems with Shen Qi, and they spent most of their time at home.
"Shen Qi, what occupation are your parents engaged in?"
"My dad runs a small business, and my mom is a doctor."
"It seems that your family is in good condition. What about your grandparents' generation?"
"Professor Sun, do you have to check your household registration when you come to Yanda? My grandparents are all workers, and my grandparents are doctors."
"It's very good. Your father's root is Miaohong, and your mother's medical family is from a family. Then why did you choose mathematics, Shen Qi?"
"Learn mathematics, physics and chemistry well, and travel the world without fear."
"It's an official answer, but I believe it. By the way, are you used to life in the north?"
"Even if the road to study is more difficult, I have to go on. In fact, the north is pretty good, but it's dry. I haven't had a bowel movement for three days, so I can't pull it out."
"Shen Qi, I'm eating dumplings!" Sun Erxiong stuck a mouthful of dumplings in his throat, struggling to advance and retreat.
"Professor Sun, don't I eat too?" Shen Qi was normal.
"You're cruel, I'm leaving." Sun Erxiong wiped his mouth, stood up and left.
"Hey, Professor Sun, don't go..." Shen Qi watched the [-]-pound fat old Sun drift away. The two shared three pounds of dumplings, Shen Qi ate one kilogram, and Sun Erxiong two kilograms.
All afternoon, Shen Qi drew on the scratch paper.
In fact, Shen Qi also felt some problems in mathematics. In the past eight months, he has read a large number of mathematical literature, journals, and papers. The accumulation of mathematical knowledge is enough, and he also has certain comprehensive application ability. There is still a gap between the realm of wide opening and closing, and freedom of retraction.This led him to go into misunderstandings on some mathematical problems and love to get to the bottom of things.
"Forget it, don't draw anymore, it's a headache." Shen Qi stopped drawing and rubbed his temples. He drew 101 kinds of shapes in one afternoon, and he could even sell them for money after binding them.
With a creak, the door of the small house opened, and Sun Erxiong came into the house with a large bag of buns.
"It's almost six o'clock, Shen Qi, let's have steamed buns for dinner." Sun Erxiong put the steamed buns on the table, which must weigh four or five pounds.
Shen Qi pushed a stack of 101 sheets of white paper with graphs in front of Sun Erxiong, looking very tired: "Professor Sun, I have drawn 101 answers, you can see which one you want."
Sun Erxiong took the bun in his left hand and flipped the white paper quickly in his right. He turned to the 12th sheet, took it out and said lightly, "Just this one, congratulations, Shen Qi, for your correct answer."
"Professor Sun, don't you need to check the back?" Shen Qi asked.
"No need." Sun Erxiong put the 12th white paper on the table.
The pattern on the white paper is a regular hexagon with a circle cut inside, and three connecting lines are drawn inside the regular hexagon, just passing through the center of the circle.
"This...Brianchon's theorem is settled?" Shen Qi couldn't believe it, it was so simple?
(Note [2] Brianchon's theorem: the line connecting three pairs of vertices of a simple hexagon circumscribed to a non-degenerate second-order curve has the same point, and this point is called the Brianchon point)
"That's right, what I want is the supplementary drawing of Brian Xiong's point." Sun Erxiong nodded and ate a pork bun with green onion.
"Ah..." Shen Qi looked up at the ceiling and let out a desolate sigh. I worked so hard to draw pictures and think all day. All you want is a Brion point?
"Look, Shen Qi, the left picture on the blackboard is based on Pascal's theorem." Sun Erxiong walked to the blackboard, tapped the left picture, and said, "You only use the projective geometric expression of Brianchon's theorem, then Enough. In fact, the logic is not difficult, Pascal's theorem and Brianchon's theorem are mutually dual."
"For example, Shen Qi, you spread out your palm to see the palm of your hand, then turned your palm so that the back of your hand was facing up, and you completed the answer. It was as easy as the palm of your hand. However, in order to complete this easy step, you first did a set of warm-up exercises. , run another five kilometers, and get tired to the ground. In fact, a lot of exercise in front of the palm is futile, not to say that it is useless, it is unnecessary. "
"Lying trough..." Shen Qi spread out his palms, palms facing up, then turned palms up, backs of hands facing up, and again, one, two, three, four.
"So Shen Qi, do you realize where your problem is?" Sun Erxiong asked.
"I'm just afraid I'm going crazy." Shen Qi's face was solemn, and his practice in the field of mathematics may have reached the stage of transcending tribulation, and he will further enter the fairyland and take a step back.
"Have you read martial arts novels, Shen Qi?" Sun Erxiong suddenly brought up a seemingly unrelated topic.
"Of course, Jin Guliang is very familiar with him."
"Then let me ask you, is Zhang Wuji's internal strength strong?"
"Master Zhang has Jiuyang Divine Art to protect his body, and his internal strength is stronger than that."
"What are the specific tricks that Zhang Wuji often uses?"
"He... he doesn't seem to have any specific tricks, doesn't he? Just make two big moves of the universe and kill the opponent in seconds. This is a stream of consciousness operation."
"So Shen Qi, what did you learn from Zhang Wuji?"
"Could it be... Could it be... the highest realm of martial arts is that there are no moves to win and there are moves. If you can't kill within three moves, you count me as a loser?" Shen Qi trembled inexplicably.
Sun Erxiong smiled and said, "The same is true of basic mathematics. The simpler it is, the more complicated it is, the more complicated it is, the simpler it is. Can you understand it?"
After staring blankly for a minute, Shen Qi suddenly came to his senses: "I understand, I understand! Thank you, Professor Sun, I have learned new skills! I know how to write my problem-solving skills guide! Master , Professor Sun, you must be a top expert, an existence like Zhang Sanfeng!"
"I'm not a master, I'm just an ordinary teacher." Sun Erxiong waved his hand and said, "There are still nine months before you officially report to Yanda University. The directional advice I give you in these nine months is that you don't have to For new reading content in mathematics, just review the mathematical theories you have learned by yourself. After this math camp, Shen Qi, when you return home, you should spread the breadth of knowledge and expand the coverage of knowledge. Basic physics and basic computer theory are A good addition."
"Even entry-level architecture, painting principles, and music foundations, you can try to touch them when you have time. Believe me, this will help you step into a deeper realm in mathematics. We at Yanda never train nerds, we You are the creator of academic masters. You can only do questions without thinking. Even if you graduate from Yan University and get a diploma, you are nothing more than a senior worker."
Shen Qi was shocked: "Understood, listening to Professor Sun's words is better than reading ten years of books."
"In September next year, I hope to meet a better Shen Qi." Sun Erxiong smiled, took out a bun from the bag and handed it to Shen Qi: "I have finished what I have to say, eat the bun, Shen Qi."
Shen Qi took the steamed buns, and they were very delicious.
At this moment, the wall clock on the wall ticked, and Shen Qi turned his head to look, oh, it's six o'clock!
"Professor Sun, you will definitely meet a better Shen Qi next September, but now, I have to go." Shen Qi grabbed two buns and stuffed them into his pockets, looking like he was going to leave in a hurry.
"Where are you going in such a hurry? Do you need me to escort you?" Sun Erxiong took out his car keys.
"Capital Sports University Stadium, I have a good brother who is about to play."
"Then Shen Qi, take the subway yourself. From this point, you will drive to Capital University of Physical Education, and the road will be blocked for at least two hours."
"I'm leaving, see you tomorrow!" Shen Qi ran away.
In a hurry, Shen Qi arrived at the stadium of Capital Sport University at 06:30, where the National U19 Track and Field Games will be held.
"Fortunately, I caught up, which one is Xu Rui?"
In the audience stand, Shen Qi looked around, and at the [-]-meter starting line on the plastic track, eight young runners lined up.
The muscular guy in lane 4, the player in blue sportswear with the words "Southern Guangdong Province" on the back is Xu Rui.
boom!
At this time, the starting gun sounded, and the final of the men's 19-meter run of the National U100 Track and Field Games began.
Xu Rui's start was terrible. He was obviously a beat slower than the other runners, and he fell to the last place as soon as he started.
During the acceleration run and on the way, Xu Rui ran wildly as if he was desperate, and he even chased over the number of people to the third position.
"Come on, Xu Rui, two more explosions!" Shen Qi was nervous as he watched the battle. He knew that only the [-]m champion was meaningful to Xu Rui, and second and third were equivalent to failure.
However, the two players in the front were very strong on the way. Even if Xu Rui pressed the gun to start, he might not have an absolute chance of winning the championship.
The red-shirted player in lane 5 crossed the line first, and Shen Qi covered his face and did not dare to continue watching.
In the end, the big screen showed that the players from the capital team won the men's 10m championship in 62 seconds, and Xu Rui ranked third in 10 seconds.
Shen Qi had to watch if he didn't, but in the arena, Xu Rui, who had finished the game, was sitting on the ground with his butt on the ground.
"Hey, it's really not easy to win a national championship." Shen Qi rushed to the scene of the competition. He couldn't witness Xu Rui winning the championship with his own eyes, and all he saw was failure.According to Xu Rui, Shuimu University only accepts national champions in each individual event, so Xu Rui's transfer to Shuimu University through his sports expertise is a bit of a hang.
Recommend a book written by a girl "Big Joe's War"
(End of this chapter)
During lunch time, Sun Erxiong didn't discuss any specific math problems with Shen Qi, and they spent most of their time at home.
"Shen Qi, what occupation are your parents engaged in?"
"My dad runs a small business, and my mom is a doctor."
"It seems that your family is in good condition. What about your grandparents' generation?"
"Professor Sun, do you have to check your household registration when you come to Yanda? My grandparents are all workers, and my grandparents are doctors."
"It's very good. Your father's root is Miaohong, and your mother's medical family is from a family. Then why did you choose mathematics, Shen Qi?"
"Learn mathematics, physics and chemistry well, and travel the world without fear."
"It's an official answer, but I believe it. By the way, are you used to life in the north?"
"Even if the road to study is more difficult, I have to go on. In fact, the north is pretty good, but it's dry. I haven't had a bowel movement for three days, so I can't pull it out."
"Shen Qi, I'm eating dumplings!" Sun Erxiong stuck a mouthful of dumplings in his throat, struggling to advance and retreat.
"Professor Sun, don't I eat too?" Shen Qi was normal.
"You're cruel, I'm leaving." Sun Erxiong wiped his mouth, stood up and left.
"Hey, Professor Sun, don't go..." Shen Qi watched the [-]-pound fat old Sun drift away. The two shared three pounds of dumplings, Shen Qi ate one kilogram, and Sun Erxiong two kilograms.
All afternoon, Shen Qi drew on the scratch paper.
In fact, Shen Qi also felt some problems in mathematics. In the past eight months, he has read a large number of mathematical literature, journals, and papers. The accumulation of mathematical knowledge is enough, and he also has certain comprehensive application ability. There is still a gap between the realm of wide opening and closing, and freedom of retraction.This led him to go into misunderstandings on some mathematical problems and love to get to the bottom of things.
"Forget it, don't draw anymore, it's a headache." Shen Qi stopped drawing and rubbed his temples. He drew 101 kinds of shapes in one afternoon, and he could even sell them for money after binding them.
With a creak, the door of the small house opened, and Sun Erxiong came into the house with a large bag of buns.
"It's almost six o'clock, Shen Qi, let's have steamed buns for dinner." Sun Erxiong put the steamed buns on the table, which must weigh four or five pounds.
Shen Qi pushed a stack of 101 sheets of white paper with graphs in front of Sun Erxiong, looking very tired: "Professor Sun, I have drawn 101 answers, you can see which one you want."
Sun Erxiong took the bun in his left hand and flipped the white paper quickly in his right. He turned to the 12th sheet, took it out and said lightly, "Just this one, congratulations, Shen Qi, for your correct answer."
"Professor Sun, don't you need to check the back?" Shen Qi asked.
"No need." Sun Erxiong put the 12th white paper on the table.
The pattern on the white paper is a regular hexagon with a circle cut inside, and three connecting lines are drawn inside the regular hexagon, just passing through the center of the circle.
"This...Brianchon's theorem is settled?" Shen Qi couldn't believe it, it was so simple?
(Note [2] Brianchon's theorem: the line connecting three pairs of vertices of a simple hexagon circumscribed to a non-degenerate second-order curve has the same point, and this point is called the Brianchon point)
"That's right, what I want is the supplementary drawing of Brian Xiong's point." Sun Erxiong nodded and ate a pork bun with green onion.
"Ah..." Shen Qi looked up at the ceiling and let out a desolate sigh. I worked so hard to draw pictures and think all day. All you want is a Brion point?
"Look, Shen Qi, the left picture on the blackboard is based on Pascal's theorem." Sun Erxiong walked to the blackboard, tapped the left picture, and said, "You only use the projective geometric expression of Brianchon's theorem, then Enough. In fact, the logic is not difficult, Pascal's theorem and Brianchon's theorem are mutually dual."
"For example, Shen Qi, you spread out your palm to see the palm of your hand, then turned your palm so that the back of your hand was facing up, and you completed the answer. It was as easy as the palm of your hand. However, in order to complete this easy step, you first did a set of warm-up exercises. , run another five kilometers, and get tired to the ground. In fact, a lot of exercise in front of the palm is futile, not to say that it is useless, it is unnecessary. "
"Lying trough..." Shen Qi spread out his palms, palms facing up, then turned palms up, backs of hands facing up, and again, one, two, three, four.
"So Shen Qi, do you realize where your problem is?" Sun Erxiong asked.
"I'm just afraid I'm going crazy." Shen Qi's face was solemn, and his practice in the field of mathematics may have reached the stage of transcending tribulation, and he will further enter the fairyland and take a step back.
"Have you read martial arts novels, Shen Qi?" Sun Erxiong suddenly brought up a seemingly unrelated topic.
"Of course, Jin Guliang is very familiar with him."
"Then let me ask you, is Zhang Wuji's internal strength strong?"
"Master Zhang has Jiuyang Divine Art to protect his body, and his internal strength is stronger than that."
"What are the specific tricks that Zhang Wuji often uses?"
"He... he doesn't seem to have any specific tricks, doesn't he? Just make two big moves of the universe and kill the opponent in seconds. This is a stream of consciousness operation."
"So Shen Qi, what did you learn from Zhang Wuji?"
"Could it be... Could it be... the highest realm of martial arts is that there are no moves to win and there are moves. If you can't kill within three moves, you count me as a loser?" Shen Qi trembled inexplicably.
Sun Erxiong smiled and said, "The same is true of basic mathematics. The simpler it is, the more complicated it is, the more complicated it is, the simpler it is. Can you understand it?"
After staring blankly for a minute, Shen Qi suddenly came to his senses: "I understand, I understand! Thank you, Professor Sun, I have learned new skills! I know how to write my problem-solving skills guide! Master , Professor Sun, you must be a top expert, an existence like Zhang Sanfeng!"
"I'm not a master, I'm just an ordinary teacher." Sun Erxiong waved his hand and said, "There are still nine months before you officially report to Yanda University. The directional advice I give you in these nine months is that you don't have to For new reading content in mathematics, just review the mathematical theories you have learned by yourself. After this math camp, Shen Qi, when you return home, you should spread the breadth of knowledge and expand the coverage of knowledge. Basic physics and basic computer theory are A good addition."
"Even entry-level architecture, painting principles, and music foundations, you can try to touch them when you have time. Believe me, this will help you step into a deeper realm in mathematics. We at Yanda never train nerds, we You are the creator of academic masters. You can only do questions without thinking. Even if you graduate from Yan University and get a diploma, you are nothing more than a senior worker."
Shen Qi was shocked: "Understood, listening to Professor Sun's words is better than reading ten years of books."
"In September next year, I hope to meet a better Shen Qi." Sun Erxiong smiled, took out a bun from the bag and handed it to Shen Qi: "I have finished what I have to say, eat the bun, Shen Qi."
Shen Qi took the steamed buns, and they were very delicious.
At this moment, the wall clock on the wall ticked, and Shen Qi turned his head to look, oh, it's six o'clock!
"Professor Sun, you will definitely meet a better Shen Qi next September, but now, I have to go." Shen Qi grabbed two buns and stuffed them into his pockets, looking like he was going to leave in a hurry.
"Where are you going in such a hurry? Do you need me to escort you?" Sun Erxiong took out his car keys.
"Capital Sports University Stadium, I have a good brother who is about to play."
"Then Shen Qi, take the subway yourself. From this point, you will drive to Capital University of Physical Education, and the road will be blocked for at least two hours."
"I'm leaving, see you tomorrow!" Shen Qi ran away.
In a hurry, Shen Qi arrived at the stadium of Capital Sport University at 06:30, where the National U19 Track and Field Games will be held.
"Fortunately, I caught up, which one is Xu Rui?"
In the audience stand, Shen Qi looked around, and at the [-]-meter starting line on the plastic track, eight young runners lined up.
The muscular guy in lane 4, the player in blue sportswear with the words "Southern Guangdong Province" on the back is Xu Rui.
boom!
At this time, the starting gun sounded, and the final of the men's 19-meter run of the National U100 Track and Field Games began.
Xu Rui's start was terrible. He was obviously a beat slower than the other runners, and he fell to the last place as soon as he started.
During the acceleration run and on the way, Xu Rui ran wildly as if he was desperate, and he even chased over the number of people to the third position.
"Come on, Xu Rui, two more explosions!" Shen Qi was nervous as he watched the battle. He knew that only the [-]m champion was meaningful to Xu Rui, and second and third were equivalent to failure.
However, the two players in the front were very strong on the way. Even if Xu Rui pressed the gun to start, he might not have an absolute chance of winning the championship.
The red-shirted player in lane 5 crossed the line first, and Shen Qi covered his face and did not dare to continue watching.
In the end, the big screen showed that the players from the capital team won the men's 10m championship in 62 seconds, and Xu Rui ranked third in 10 seconds.
Shen Qi had to watch if he didn't, but in the arena, Xu Rui, who had finished the game, was sitting on the ground with his butt on the ground.
"Hey, it's really not easy to win a national championship." Shen Qi rushed to the scene of the competition. He couldn't witness Xu Rui winning the championship with his own eyes, and all he saw was failure.According to Xu Rui, Shuimu University only accepts national champions in each individual event, so Xu Rui's transfer to Shuimu University through his sports expertise is a bit of a hang.
Recommend a book written by a girl "Big Joe's War"
(End of this chapter)
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