All-round mathematician
Chapter 67
Chapter 67
Yang Fan just reminded him first, and never thought about discussing it. He said, "Students from Classes 1 to 11 of Senior Three, students with student numbers 21, 31, 41, [-], and [-], stand up."
There are more than forty students in each class, and the student numbers are randomly arranged according to the letters of the names, which is extremely representative.
Six classes, a total of 30 people, stand.
"What is this for?"
"can not understand."
"You are the class representatives at the moment, and you have the right to raise your hands and speak, while others only have the right to raise your hands. Do you understand?"
30 nods.
When they don't understand, they can ask questions, and when they ask questions, they are also represented by 30 of them.
"Now, rearrange the number codes. I don't know the names of some students at all. That one, just you..."
Yang Fan pointed to the classmate closest to him in the first row. The person looked around, no one was around, and he was very eye-catching. He pointed to his nose hesitantly: "Are you talking about me?"
"Yes, it's you. You are in the first row, counting from left to right, and you are the fifth seat. At this moment, you are numbered 5, do you understand?"
"Okay, I'm 105."
"I'm sorry, students, because I really can't name them, and it's impossible to ask and test again and again, so giving you numbers is not an insult, it's just a temporary management method."
Yang Fan explained patiently, fearing that some students would be offended, and said, "That one, your number is 212, and you, number 409. By analogy, I will give you half a minute to confirm your own number."
At this moment, there was a little noise in the classroom, senior high school students were counting, and teachers on both sides were discussing in low voices.
"This student is born to exist for mathematics." Feng Yao has the highest understanding, and after a little thought, he understands the reason.
"Yes, yes, from managing two or 300 people to managing 30 people, it is based on random selection, which is universal and representative." Chen Changyi was not stupid, and immediately discovered the benefits.
"The key now is, can he immediately realize the number of the student representative?"
This question is also a place where a group of adults are puzzled.
There is at least 20 meters from the podium to the last row. If you have to count the number of the person being called every time you roll the roll, no matter if you are right or wrong, it will take a long time, which is embarrassing.
With this time, it would be better to ask just one person, not necessarily unrepresentative.
"That's why I said, he was born for mathematics." Feng Yao boldly said again.
If he was not sure, how could he make such a fool of himself? Thinking of this, all the math teachers were horrified.
Just for a while, I confirmed the most streamlined plan, and used my own powerful mathematical concepts to organize all the changes in an orderly manner.
"Hehe, let's have a look again." Chen Changyi was the happiest, and the open class was recognized by all parties.
Half a minute later, the classroom was quiet.
"Okay, let's continue with the eighth question just now. 716, I noticed that you wanted to speak several times just now, so you stood up and said."
Yang Fan called out one person, this is a class [-] student.
The classmate twitched for a while, with a struggling expression on his face, and said: "That old... Yang Fan, I chose A for this question, not B and D, can you sum up the reasons for A's mistakes, or how to formulate the questions to get the correct answer to A? "
"I'm sorry, there are only 14 students in the whole grade who choose A and C. To save time, let's go." Yang Fan said.
The principal, Qu Mengxiu, frowned, and asked the teacher next to him: "It's so precise that it behaves like a machine. How did he judge that there were only 14 people?"
"Raise your hands twice, and subtract the numbers." One answered immediately, and he was complacent about his cleverness.
"Hmph." Qu Mengxiu was displeased, and said, "I just asked, how does he judge the number of people who raised their hands twice, do you understand?"
This……
Dozens of people raised their hands at different heights and ranges, and with students' heads blocking their view, it took at least 10 minutes to point over one by one.
"What a powerful computing power."
"Just take a look?"
"It's terrible, it's really terrible."
No one understands that everything Yang Fan sees can be converted into data.
He was very calm, pressed the student with his right hand, and said, "Next question, choose D. Raise your hand."
Less than 15%, pass.
On the podium, one topic after another is explained according to the proportion. When it exceeds 20%, he will take about 30 seconds to speak, and if it exceeds 50%, it will take 4 minutes.
"Half of the people are wrong about this question. There is a trap here. You think you are right, but you are actually missing the last step...
"Here, what does the author of the question mean? He deliberately made five steps from the amount of calculation that originally required two steps, so that you have to follow his rhythm..."
The lecture hall was always kept quiet, and the only sound that echoed in the classroom came from the podium.
"Efficiency, calculation, and ruthlessness. I understand why the province is number one." Chen Changyi's voice was very low, he was afraid of disturbing the students' listening at the moment.
"Without wasting any time, one class can teach twice as much."
"A born mathematician."
On the stage, Yang Fan pointed: "913, what questions do you have?"
"Student Yang Fan, please repeat the previous question. I didn't understand it."
"Want to hear it again, raise your hand."
156 people, accounting for 61%, passed.
"Okay, let's look at it again. This question is very interesting. He disclosed the information openly. It seems that everything is on the surface. Just do some calculations to get the answer. But don't forget, this question is the last question of filling in the blanks." , there must be difficulty.
"Believe it is easy, and you will lose 4 points. You are the examiner, will you let it go like this? As I said earlier, you should put your thinking on the perspective of the examiner, master the difficulty of the questions, and arrange the order of the questions. You are the examiner Arranged at the first time."
"For each paper, there is a question bank for those who are out of the circle. For example, the difficulty is ranked from ES, and the last question of the major category must be above grade A. It is difficult to make it clear, and I have to be fooled. I am sorry for my years of hard work. You go out. Volume, is it possible not to show off your IQ?"
……
The students in classes three and three are in the fifth and sixth rows, and no one is absent.Of course Qi Yueshu was there too.
"The gap is even bigger." With the pen in Qi Yueshu's hand, he scratched meaninglessly on the paper.In the mid-term exam, she ranked 25th in her class, below the middle.
"Obviously last year, it was about the same." At that time, I agreed, and it was also because of the proximity that we could hug each other to keep warm.now……
Qi Yueshu looked at Xiao Hongye who was sitting in the front row, the latter did nothing, rested his chin with his hands and went crazy.
Next to Xiao Hongye was Yuan Wenbo, who poked the finger of his buddy on the other side with a ballpoint pen, and said, "Do you feel more knowledgeable?"
Gu Changfeng was fascinated by listening, the rhythm was interrupted, and he almost burst into foul language.
"Secondary Two, what are you talking about?"
"I said, Yang Fan is no longer the same as us." Yuan Wenbo sighed, he could hardly keep up with his back.
"The person is still the same person, don't worry." Gu Changfeng said.
Yuan Wenbo thought for a second, hey, it makes sense, his grades are poor, and his personality is not that good.
Yang Fan looked at the time and saw that it was almost time, and said: "Let me say one last thing, there are only two possibilities for the difficulty of the topic. First, this knowledge point has not been mastered. This is a long-term accumulation, and there is no shortcut.
"Second, you have been deceived by the trap. The trap will not break away from the outline, it just makes the steps cumbersome and increases the amount of calculation, which affects your thinking.
"If you really can't do it, go in the opposite direction, you can push up from the results, or you can add conditions at will to make the topic easier, and then deduce how to get the content you added.
"When one day, you can produce a similar paper, show off your IQ and see your classmates embarrassed, and you will be able to catch them all.
"Is there any problem?"
Silence, absolute silence.
A second later, the applause soared into the sky.
This night is destined to be remembered by the history of the school, and this year will become the strongest one.
(End of this chapter)
Yang Fan just reminded him first, and never thought about discussing it. He said, "Students from Classes 1 to 11 of Senior Three, students with student numbers 21, 31, 41, [-], and [-], stand up."
There are more than forty students in each class, and the student numbers are randomly arranged according to the letters of the names, which is extremely representative.
Six classes, a total of 30 people, stand.
"What is this for?"
"can not understand."
"You are the class representatives at the moment, and you have the right to raise your hands and speak, while others only have the right to raise your hands. Do you understand?"
30 nods.
When they don't understand, they can ask questions, and when they ask questions, they are also represented by 30 of them.
"Now, rearrange the number codes. I don't know the names of some students at all. That one, just you..."
Yang Fan pointed to the classmate closest to him in the first row. The person looked around, no one was around, and he was very eye-catching. He pointed to his nose hesitantly: "Are you talking about me?"
"Yes, it's you. You are in the first row, counting from left to right, and you are the fifth seat. At this moment, you are numbered 5, do you understand?"
"Okay, I'm 105."
"I'm sorry, students, because I really can't name them, and it's impossible to ask and test again and again, so giving you numbers is not an insult, it's just a temporary management method."
Yang Fan explained patiently, fearing that some students would be offended, and said, "That one, your number is 212, and you, number 409. By analogy, I will give you half a minute to confirm your own number."
At this moment, there was a little noise in the classroom, senior high school students were counting, and teachers on both sides were discussing in low voices.
"This student is born to exist for mathematics." Feng Yao has the highest understanding, and after a little thought, he understands the reason.
"Yes, yes, from managing two or 300 people to managing 30 people, it is based on random selection, which is universal and representative." Chen Changyi was not stupid, and immediately discovered the benefits.
"The key now is, can he immediately realize the number of the student representative?"
This question is also a place where a group of adults are puzzled.
There is at least 20 meters from the podium to the last row. If you have to count the number of the person being called every time you roll the roll, no matter if you are right or wrong, it will take a long time, which is embarrassing.
With this time, it would be better to ask just one person, not necessarily unrepresentative.
"That's why I said, he was born for mathematics." Feng Yao boldly said again.
If he was not sure, how could he make such a fool of himself? Thinking of this, all the math teachers were horrified.
Just for a while, I confirmed the most streamlined plan, and used my own powerful mathematical concepts to organize all the changes in an orderly manner.
"Hehe, let's have a look again." Chen Changyi was the happiest, and the open class was recognized by all parties.
Half a minute later, the classroom was quiet.
"Okay, let's continue with the eighth question just now. 716, I noticed that you wanted to speak several times just now, so you stood up and said."
Yang Fan called out one person, this is a class [-] student.
The classmate twitched for a while, with a struggling expression on his face, and said: "That old... Yang Fan, I chose A for this question, not B and D, can you sum up the reasons for A's mistakes, or how to formulate the questions to get the correct answer to A? "
"I'm sorry, there are only 14 students in the whole grade who choose A and C. To save time, let's go." Yang Fan said.
The principal, Qu Mengxiu, frowned, and asked the teacher next to him: "It's so precise that it behaves like a machine. How did he judge that there were only 14 people?"
"Raise your hands twice, and subtract the numbers." One answered immediately, and he was complacent about his cleverness.
"Hmph." Qu Mengxiu was displeased, and said, "I just asked, how does he judge the number of people who raised their hands twice, do you understand?"
This……
Dozens of people raised their hands at different heights and ranges, and with students' heads blocking their view, it took at least 10 minutes to point over one by one.
"What a powerful computing power."
"Just take a look?"
"It's terrible, it's really terrible."
No one understands that everything Yang Fan sees can be converted into data.
He was very calm, pressed the student with his right hand, and said, "Next question, choose D. Raise your hand."
Less than 15%, pass.
On the podium, one topic after another is explained according to the proportion. When it exceeds 20%, he will take about 30 seconds to speak, and if it exceeds 50%, it will take 4 minutes.
"Half of the people are wrong about this question. There is a trap here. You think you are right, but you are actually missing the last step...
"Here, what does the author of the question mean? He deliberately made five steps from the amount of calculation that originally required two steps, so that you have to follow his rhythm..."
The lecture hall was always kept quiet, and the only sound that echoed in the classroom came from the podium.
"Efficiency, calculation, and ruthlessness. I understand why the province is number one." Chen Changyi's voice was very low, he was afraid of disturbing the students' listening at the moment.
"Without wasting any time, one class can teach twice as much."
"A born mathematician."
On the stage, Yang Fan pointed: "913, what questions do you have?"
"Student Yang Fan, please repeat the previous question. I didn't understand it."
"Want to hear it again, raise your hand."
156 people, accounting for 61%, passed.
"Okay, let's look at it again. This question is very interesting. He disclosed the information openly. It seems that everything is on the surface. Just do some calculations to get the answer. But don't forget, this question is the last question of filling in the blanks." , there must be difficulty.
"Believe it is easy, and you will lose 4 points. You are the examiner, will you let it go like this? As I said earlier, you should put your thinking on the perspective of the examiner, master the difficulty of the questions, and arrange the order of the questions. You are the examiner Arranged at the first time."
"For each paper, there is a question bank for those who are out of the circle. For example, the difficulty is ranked from ES, and the last question of the major category must be above grade A. It is difficult to make it clear, and I have to be fooled. I am sorry for my years of hard work. You go out. Volume, is it possible not to show off your IQ?"
……
The students in classes three and three are in the fifth and sixth rows, and no one is absent.Of course Qi Yueshu was there too.
"The gap is even bigger." With the pen in Qi Yueshu's hand, he scratched meaninglessly on the paper.In the mid-term exam, she ranked 25th in her class, below the middle.
"Obviously last year, it was about the same." At that time, I agreed, and it was also because of the proximity that we could hug each other to keep warm.now……
Qi Yueshu looked at Xiao Hongye who was sitting in the front row, the latter did nothing, rested his chin with his hands and went crazy.
Next to Xiao Hongye was Yuan Wenbo, who poked the finger of his buddy on the other side with a ballpoint pen, and said, "Do you feel more knowledgeable?"
Gu Changfeng was fascinated by listening, the rhythm was interrupted, and he almost burst into foul language.
"Secondary Two, what are you talking about?"
"I said, Yang Fan is no longer the same as us." Yuan Wenbo sighed, he could hardly keep up with his back.
"The person is still the same person, don't worry." Gu Changfeng said.
Yuan Wenbo thought for a second, hey, it makes sense, his grades are poor, and his personality is not that good.
Yang Fan looked at the time and saw that it was almost time, and said: "Let me say one last thing, there are only two possibilities for the difficulty of the topic. First, this knowledge point has not been mastered. This is a long-term accumulation, and there is no shortcut.
"Second, you have been deceived by the trap. The trap will not break away from the outline, it just makes the steps cumbersome and increases the amount of calculation, which affects your thinking.
"If you really can't do it, go in the opposite direction, you can push up from the results, or you can add conditions at will to make the topic easier, and then deduce how to get the content you added.
"When one day, you can produce a similar paper, show off your IQ and see your classmates embarrassed, and you will be able to catch them all.
"Is there any problem?"
Silence, absolute silence.
A second later, the applause soared into the sky.
This night is destined to be remembered by the history of the school, and this year will become the strongest one.
(End of this chapter)
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