When Wen Yanzhe lowered his head, the corner of his mouth curled up into a mocking smile, but when he looked up again, his expression changed, his watery eyes were full of grievance and pity: "Teacher, what you said is right, don't study hard , but it is possible that I can’t even pass the college entrance examination. But I can’t help it. I know what you teach, and if you don’t, you can’t teach it. Isn’t this forcing me to study by myself? And, teacher, I didn’t desert, I I’m really learning just now, if you don’t believe me, look at it.”
After finishing speaking, Wen Yanzhe handed over a book that was on the table. Those books were some Olympiad textbooks he found for Shao Yun. They were not for competitions or anything, but purely for exercising Shao Yun's way of thinking. .As a result, because of the previous incident, I have been too lazy to talk to Shao Yun for the past two days, so I never gave it to him. It was just a pretense to put it on the table just now, but it just came in handy at this time.
As soon as Teacher Lu took the book, his face darkened.He has seen that book too many times, it is the book that the boy who always confronted him and finally robbed him of his math team leader often recommends to students. The problem-solving ideas in it are not the mainstream style at all.He has been teaching for many years, and he also did Olympiad training in his early years. However, the teaching ideas in this book are completely different from the Olympiad in his understanding, completely subverting the tradition.
If it’s anything else, it’s okay. When he saw this book, Teacher Lu became even more angry. He slapped the book on the spot and scolded: “The class is not good, what kind of maths are you watching! Run away, okay, I want to see how capable we are as the champion of the college entrance examination. You, come to the podium for me."
Wen Yanzhe smiled slyly, walked up without saying anything, then turned his head, and asked with a ignorant expression: "Teacher, why do you want me to come up?"
"Don't you like to watch Mathematical Olympiads? Okay, let's make a bet. There are not many more. I will ask three questions. If you can solve them, you don't need to take my class in the future. You can do whatever you want. But, If you can’t answer, in the future, whoever attends class and whoever deserts in your class will apply to be transferred to the ordinary class on your own initiative. Students like you can’t afford the rocket class.” After finishing speaking, Teacher Lu raised his eyebrows and said: “How about it? Is this a bet?"
Take on the challenge on behalf of the class?
Wen Yanzhe looked around, and found that quite a few children looked eager to try, as if if he refused, someone would immediately be willing to take over.
But how could he refuse? Teacher Lu cooperated in this way. If he didn't follow up, he would have wasted this great opportunity.
"Really?" Wen Yanzhe blinked his eyes, how innocent and innocent that look was.
"Listen, all the students in the class, can I still lie to you?!" Teacher Lu sneered.
Wen Yanzhe chuckled lightly and said, "Teacher, then you have to come up with a good question. If it's too simple, it won't be interesting to do it."
Such provocative words came out of Wen Yanzhe's mouth, and he was so soft and cute. Hearing Shao Yun's ears was like being coquettish, and his ears felt hot when he heard it, and he wanted to go up and help Yanzi.But in fact, Shao Yun can only sit obediently at this moment and watch Wen Yanzhe play prestige, because as soon as he moves, he will obviously feel a sharp glance over him, and he can know it without looking. Who is the master of.
It is normal for teachers to test students.At first, Teacher Lu just wanted to show off, but as soon as Wen Yanzhe said provocative words, he immediately became furious, thinking that he was still in class, and the other party was only a ten-year-old high school student, so he endured it. Gritting his teeth, he said, "Don't worry, I won't let you down."
In order not to disappoint Wen Yanzhe, Mr. Lu didn't think about step by step for the first question, and went straight to the final question of mathematics in the college entrance examination last year.To achieve last year's college entrance examination, it has been called the most difficult college entrance examination in the past ten years. People who cried a lot in the examination room, 80% of the candidates did not even read the last two big questions, and 20% after reading the big questions , and only the first few steps can get points.
Anyone can feel the embarrassment of giving a college entrance examination finale to a student who just entered high school.But this question is really what I learned at the beginning of the first year of high school, but it is more difficult than just a little bit, so even if Wen Yanzhe did it, it would not be shameful to ask this question, genius, this kind of already learned What has been done, will be done as it should be.
As soon as Wen Yanzhe heard the topic, he knew what kind of medicine Mr. Lu was selling in the gourd. He didn't say much, and started to write with a brush of chalk.Wen Yanzhe is best at logical calculations. Of course, this kind of difficult college entrance examination questions is a piece of cake for him, but this time he didn't play tricks, but spent a lot of effort to solve them according to the teaching steps taught by Mr. Lu. out.
Wen Yanzhe's handwriting is not too big, so the lengthy problem-solving steps only took up half of the blackboard. After finishing writing, he consciously stood on the other side and looked in the direction of Teacher Lu, which meant, please continue .
When Wen Yanzhe made the last stroke, Teacher Lu couldn't help laughing mockingly.Although this question has been answered, isn't the way of solving the problem the way he taught?
No. [-] in the city, that's all.
With a smile, Teacher Lu asked the second question, which was the self-examination style of this year's foreign language middle school. He and his colleagues from the teaching group originally came up with the question. This question seems simple, but in fact there are many language traps in it. If you don't pay attention, you will go in the wrong direction.When reading the question, Mr. Lu deliberately slowed down a little, so Wen Yanzhe listened carefully, but the more careful he was, the easier it was to go astray, because the question surface of this question is actually the simplest kind of thinking.
Sure enough, Wen Yanzhe picked up the pen after listening to it and thought for a while. To Mr. Lu's surprise, Wen Yanzhe really went in the wrong direction, and his thinking was too complicated.The smile on the corner of his mouth kept widening, and Mr. Lu could already foresee how he would fulfill his duties as a teacher later, and educate the number one scholar well.
After Wen Yanzhe finished answering, some people below exclaimed in a low voice, because they could all clearly find that the logic of this question was stuck, why did Wen Yanzhe still fall into it?For a while, there was a lot of noise in the classroom, and some students even whispered to remind them.
Seeing that the goal was about to be achieved, how could Teacher Lu let other people interfere with his plan? He slapped the podium twice with his book, and he said loudly: "Be quiet, what's the fuss, don't make any noise in class!"
The two pops suppressed the noise, leaving only a few low whispers.
When everyone else was worried about Wen Yanzhe, Shao Yun stared at the problem-solving steps written by Wen Yanzhe for a long time, and then suddenly laughed.
Haha, what kind of logic is stuck... It's really too pediatric, how could his Yanzi be deceived!
Thinking of the way Teacher Lu would jump angrily when he found out the truth later, Shao Yun's heart skipped a beat. He didn't like this teacher a long time ago.
Shao Yun was already waiting to see the joke, but Teacher Lu didn't know that he had fallen into Wen Yanzhe's trap, and read the last question without stopping.
The last question is decent and very simple. In one sentence, find the smallest integer n such that each n-element subset of s contains 5 pairwise prime numbers.
Although it is simple, it is a logically troublesome problem. To solve the problem, you must first use the principle of tolerance and exclusion to calculate the number of elements that can be established, and then calculate the number of elements that can be established... So it seems simple, but in fact it is a problem that requires a lot of Operational questions.
Teacher Lu glanced at the blackboard full of writing, and said "kindly", "Do you want to find a small blackboard?"
"No teacher, I've already figured it out."
While talking, Wen Yanzhe picked up the chalk, turned around, and wrote a number directly on the blackboard.
The moment he saw the numbers, Teacher Lu frowned instantly: "Have you memorized this question before?"
"Hey, Mr. Lu, why do you love wronging people so much? You wrote the title, and even if I was going to be caught, it's just luck that I wrote it down." Wen Yanzhe paused, then shook his head with a light smile He said: "However... for this kind of question, a person with a brain can know the answer after turning around, and still use a pen to calculate?"
The secret meaning of this sentence is that he has no brains?
Teacher Lu's face was gloomy, and he was about to have a fit, but he tried his best to endure it, turned his head to look at the solutions to the other two questions on the blackboard, and said slowly: "Okay, this one counts as your luck, and you memorized it. But these two questions on the blackboard... Heh, the first one, although I have figured it out, it is obvious that it is the problem-solving method I just taught before. I don’t miss any steps, and I don’t even know the steps that can be saved in the middle. And The second question, heh, you are really good at getting stuck on the question, if you fall into it all, think about the question again, I believe you should know where you went wrong without me telling you." After finishing speaking, Lu The teacher looked at the whole class with a half-hearted smile and said, "You guys lost this bet, and we will go to class later..."
"Teacher, how did you know that I got the wrong answer?" Wen Yanzhe interrupted Teacher Lu before he finished speaking, then turned around and said, "The first question is from Example 12 on page 3 of the textbook. Adapted, the same type is Example 15 on page 1, and the question you said before, Mr. Lu. Mr. Lu, your talent also said that I have solved it completely according to the method you taught. It is true, but my purpose is not Answer, but I want to tell you that this kind of problem-solving thinking has long been outdated, and it takes 13 steps to push forward, and add an auxiliary line, and then..."
After speaking, Wen Yanzhe drew a few strokes on the blackboard again, and then saw the auxiliary line drawn, and the whole decentness was immediately clear. With the aid of the auxiliary line, it only took 5 steps to prove it.
Teacher Lu's complexion darkened when he saw the auxiliary line. Isn't this the opportunistic and out-of-the-ordinary method he has always despised!But he couldn't deny Wen Yanzhe's approach, because such an auxiliary line is the most permissible, but there are only a few people in the province who can think of drawing this auxiliary line.
Knowing that there was nothing to say about this question, he had no choice but to emphasize Wen Yanzhe's mistake on the second question again.
But after he finished those words, the whole class suddenly burst into laughter, and some even whistled excitedly.Teacher Lu's face was as dark as the bottom of a pot. He threw the book in his hand on the table and said loudly, "Quiet, calm down, why are you laughing... No..."
But apparently no one in the class listened to him, because except for him with his back to the blackboard, everyone else had already seen what Wen Yanzhe wrote on the blackboard.
I saw that Wen Yanzhe was holding colored chalks to outline the second and fourth rows of numbers on the question surface.
If you look at it, those numbers are nothing special, but together, they are a string of passwords.
Numeral homonyms are popular recently, and many students in the class love to play the game of finding a game. Instead of saying good words, write a bunch of numbers for others to guess the meaning based on the homophony. The test is the tacit understanding between the two.
However, the series of numbers that Wen Yanzhe ticked out obviously does not require any tacit understanding. Anyone with a discerning eye can understand at a glance, 5646 (boring to death), 098 (you go).
Isn't this just mocking Mr. Lu for deliberately asking a word-picking question without difficulty?
No wonder the whole class laughed, Wen Yanzhe is really good at playing.
At this time, the bell rang for the end of get out of class. Wen Yanzhe glanced at Mr. Lu who was stupefied, dropped the chalk and went straight out. When he passed by him, he stopped and reminded him kindly: "Teacher, remember, Willing to gamble and admit defeat..."
There were mocking laughter all around her ears, Teacher Lu's face was no longer dark, and turned pale instantly.
This kid is a genius... really a genius...
After finishing speaking, Wen Yanzhe handed over a book that was on the table. Those books were some Olympiad textbooks he found for Shao Yun. They were not for competitions or anything, but purely for exercising Shao Yun's way of thinking. .As a result, because of the previous incident, I have been too lazy to talk to Shao Yun for the past two days, so I never gave it to him. It was just a pretense to put it on the table just now, but it just came in handy at this time.
As soon as Teacher Lu took the book, his face darkened.He has seen that book too many times, it is the book that the boy who always confronted him and finally robbed him of his math team leader often recommends to students. The problem-solving ideas in it are not the mainstream style at all.He has been teaching for many years, and he also did Olympiad training in his early years. However, the teaching ideas in this book are completely different from the Olympiad in his understanding, completely subverting the tradition.
If it’s anything else, it’s okay. When he saw this book, Teacher Lu became even more angry. He slapped the book on the spot and scolded: “The class is not good, what kind of maths are you watching! Run away, okay, I want to see how capable we are as the champion of the college entrance examination. You, come to the podium for me."
Wen Yanzhe smiled slyly, walked up without saying anything, then turned his head, and asked with a ignorant expression: "Teacher, why do you want me to come up?"
"Don't you like to watch Mathematical Olympiads? Okay, let's make a bet. There are not many more. I will ask three questions. If you can solve them, you don't need to take my class in the future. You can do whatever you want. But, If you can’t answer, in the future, whoever attends class and whoever deserts in your class will apply to be transferred to the ordinary class on your own initiative. Students like you can’t afford the rocket class.” After finishing speaking, Teacher Lu raised his eyebrows and said: “How about it? Is this a bet?"
Take on the challenge on behalf of the class?
Wen Yanzhe looked around, and found that quite a few children looked eager to try, as if if he refused, someone would immediately be willing to take over.
But how could he refuse? Teacher Lu cooperated in this way. If he didn't follow up, he would have wasted this great opportunity.
"Really?" Wen Yanzhe blinked his eyes, how innocent and innocent that look was.
"Listen, all the students in the class, can I still lie to you?!" Teacher Lu sneered.
Wen Yanzhe chuckled lightly and said, "Teacher, then you have to come up with a good question. If it's too simple, it won't be interesting to do it."
Such provocative words came out of Wen Yanzhe's mouth, and he was so soft and cute. Hearing Shao Yun's ears was like being coquettish, and his ears felt hot when he heard it, and he wanted to go up and help Yanzi.But in fact, Shao Yun can only sit obediently at this moment and watch Wen Yanzhe play prestige, because as soon as he moves, he will obviously feel a sharp glance over him, and he can know it without looking. Who is the master of.
It is normal for teachers to test students.At first, Teacher Lu just wanted to show off, but as soon as Wen Yanzhe said provocative words, he immediately became furious, thinking that he was still in class, and the other party was only a ten-year-old high school student, so he endured it. Gritting his teeth, he said, "Don't worry, I won't let you down."
In order not to disappoint Wen Yanzhe, Mr. Lu didn't think about step by step for the first question, and went straight to the final question of mathematics in the college entrance examination last year.To achieve last year's college entrance examination, it has been called the most difficult college entrance examination in the past ten years. People who cried a lot in the examination room, 80% of the candidates did not even read the last two big questions, and 20% after reading the big questions , and only the first few steps can get points.
Anyone can feel the embarrassment of giving a college entrance examination finale to a student who just entered high school.But this question is really what I learned at the beginning of the first year of high school, but it is more difficult than just a little bit, so even if Wen Yanzhe did it, it would not be shameful to ask this question, genius, this kind of already learned What has been done, will be done as it should be.
As soon as Wen Yanzhe heard the topic, he knew what kind of medicine Mr. Lu was selling in the gourd. He didn't say much, and started to write with a brush of chalk.Wen Yanzhe is best at logical calculations. Of course, this kind of difficult college entrance examination questions is a piece of cake for him, but this time he didn't play tricks, but spent a lot of effort to solve them according to the teaching steps taught by Mr. Lu. out.
Wen Yanzhe's handwriting is not too big, so the lengthy problem-solving steps only took up half of the blackboard. After finishing writing, he consciously stood on the other side and looked in the direction of Teacher Lu, which meant, please continue .
When Wen Yanzhe made the last stroke, Teacher Lu couldn't help laughing mockingly.Although this question has been answered, isn't the way of solving the problem the way he taught?
No. [-] in the city, that's all.
With a smile, Teacher Lu asked the second question, which was the self-examination style of this year's foreign language middle school. He and his colleagues from the teaching group originally came up with the question. This question seems simple, but in fact there are many language traps in it. If you don't pay attention, you will go in the wrong direction.When reading the question, Mr. Lu deliberately slowed down a little, so Wen Yanzhe listened carefully, but the more careful he was, the easier it was to go astray, because the question surface of this question is actually the simplest kind of thinking.
Sure enough, Wen Yanzhe picked up the pen after listening to it and thought for a while. To Mr. Lu's surprise, Wen Yanzhe really went in the wrong direction, and his thinking was too complicated.The smile on the corner of his mouth kept widening, and Mr. Lu could already foresee how he would fulfill his duties as a teacher later, and educate the number one scholar well.
After Wen Yanzhe finished answering, some people below exclaimed in a low voice, because they could all clearly find that the logic of this question was stuck, why did Wen Yanzhe still fall into it?For a while, there was a lot of noise in the classroom, and some students even whispered to remind them.
Seeing that the goal was about to be achieved, how could Teacher Lu let other people interfere with his plan? He slapped the podium twice with his book, and he said loudly: "Be quiet, what's the fuss, don't make any noise in class!"
The two pops suppressed the noise, leaving only a few low whispers.
When everyone else was worried about Wen Yanzhe, Shao Yun stared at the problem-solving steps written by Wen Yanzhe for a long time, and then suddenly laughed.
Haha, what kind of logic is stuck... It's really too pediatric, how could his Yanzi be deceived!
Thinking of the way Teacher Lu would jump angrily when he found out the truth later, Shao Yun's heart skipped a beat. He didn't like this teacher a long time ago.
Shao Yun was already waiting to see the joke, but Teacher Lu didn't know that he had fallen into Wen Yanzhe's trap, and read the last question without stopping.
The last question is decent and very simple. In one sentence, find the smallest integer n such that each n-element subset of s contains 5 pairwise prime numbers.
Although it is simple, it is a logically troublesome problem. To solve the problem, you must first use the principle of tolerance and exclusion to calculate the number of elements that can be established, and then calculate the number of elements that can be established... So it seems simple, but in fact it is a problem that requires a lot of Operational questions.
Teacher Lu glanced at the blackboard full of writing, and said "kindly", "Do you want to find a small blackboard?"
"No teacher, I've already figured it out."
While talking, Wen Yanzhe picked up the chalk, turned around, and wrote a number directly on the blackboard.
The moment he saw the numbers, Teacher Lu frowned instantly: "Have you memorized this question before?"
"Hey, Mr. Lu, why do you love wronging people so much? You wrote the title, and even if I was going to be caught, it's just luck that I wrote it down." Wen Yanzhe paused, then shook his head with a light smile He said: "However... for this kind of question, a person with a brain can know the answer after turning around, and still use a pen to calculate?"
The secret meaning of this sentence is that he has no brains?
Teacher Lu's face was gloomy, and he was about to have a fit, but he tried his best to endure it, turned his head to look at the solutions to the other two questions on the blackboard, and said slowly: "Okay, this one counts as your luck, and you memorized it. But these two questions on the blackboard... Heh, the first one, although I have figured it out, it is obvious that it is the problem-solving method I just taught before. I don’t miss any steps, and I don’t even know the steps that can be saved in the middle. And The second question, heh, you are really good at getting stuck on the question, if you fall into it all, think about the question again, I believe you should know where you went wrong without me telling you." After finishing speaking, Lu The teacher looked at the whole class with a half-hearted smile and said, "You guys lost this bet, and we will go to class later..."
"Teacher, how did you know that I got the wrong answer?" Wen Yanzhe interrupted Teacher Lu before he finished speaking, then turned around and said, "The first question is from Example 12 on page 3 of the textbook. Adapted, the same type is Example 15 on page 1, and the question you said before, Mr. Lu. Mr. Lu, your talent also said that I have solved it completely according to the method you taught. It is true, but my purpose is not Answer, but I want to tell you that this kind of problem-solving thinking has long been outdated, and it takes 13 steps to push forward, and add an auxiliary line, and then..."
After speaking, Wen Yanzhe drew a few strokes on the blackboard again, and then saw the auxiliary line drawn, and the whole decentness was immediately clear. With the aid of the auxiliary line, it only took 5 steps to prove it.
Teacher Lu's complexion darkened when he saw the auxiliary line. Isn't this the opportunistic and out-of-the-ordinary method he has always despised!But he couldn't deny Wen Yanzhe's approach, because such an auxiliary line is the most permissible, but there are only a few people in the province who can think of drawing this auxiliary line.
Knowing that there was nothing to say about this question, he had no choice but to emphasize Wen Yanzhe's mistake on the second question again.
But after he finished those words, the whole class suddenly burst into laughter, and some even whistled excitedly.Teacher Lu's face was as dark as the bottom of a pot. He threw the book in his hand on the table and said loudly, "Quiet, calm down, why are you laughing... No..."
But apparently no one in the class listened to him, because except for him with his back to the blackboard, everyone else had already seen what Wen Yanzhe wrote on the blackboard.
I saw that Wen Yanzhe was holding colored chalks to outline the second and fourth rows of numbers on the question surface.
If you look at it, those numbers are nothing special, but together, they are a string of passwords.
Numeral homonyms are popular recently, and many students in the class love to play the game of finding a game. Instead of saying good words, write a bunch of numbers for others to guess the meaning based on the homophony. The test is the tacit understanding between the two.
However, the series of numbers that Wen Yanzhe ticked out obviously does not require any tacit understanding. Anyone with a discerning eye can understand at a glance, 5646 (boring to death), 098 (you go).
Isn't this just mocking Mr. Lu for deliberately asking a word-picking question without difficulty?
No wonder the whole class laughed, Wen Yanzhe is really good at playing.
At this time, the bell rang for the end of get out of class. Wen Yanzhe glanced at Mr. Lu who was stupefied, dropped the chalk and went straight out. When he passed by him, he stopped and reminded him kindly: "Teacher, remember, Willing to gamble and admit defeat..."
There were mocking laughter all around her ears, Teacher Lu's face was no longer dark, and turned pale instantly.
This kid is a genius... really a genius...
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