universal data
Chapter 11 Super Difficult Olympiad Problems
Chapter 11 Super Difficult Olympiad Problems
One afternoon, two English and two physics periods.Cheng Nuo spent almost all of his time studying his abilities.
After this morning, Cheng Nuo felt that his abilities were not that weak.
My eyes can digitize everything, and my brain has the powerful and precise calculation ability like a computer.
When the two cooperate with each other, many things can be accomplished.
For example, if you want to go somewhere, your brain will calculate the most time-saving route based on the various sets of data provided by Cheng Nuo's eyes.
The body wants to complete a certain action, and the brain can also give the muscle movement method that saves the most time and consumes the least energy for this action.
Moreover, with the help of the data in his mind, Cheng Nuo's control over his body has reached an extremely precise level.
If you want to use 5 Newtons of force, you will not use 5.1 Newtons.
If you want to jump a height of 0.2 meters, you will not jump 0.19 meters.
If you want to run at a speed of 10 m/s, uh... forget it.The ability didn't change Cheng Nuo's physique, he was still the weak chicken who could only run 14 meters in [-] seconds.
In addition, Cheng Nuo found that, in addition to mathematics, physics and chemistry, which dealt with numbers and data, Cheng Nuo could also easily solve problems in related subjects.Whether it is easy or difficult.As long as Cheng Nuo glanced at it, his mind card could basically come up with a clear idea to solve the problem.
This discovery made Cheng Nuo happy for a long time.Xueba, I really still have to be a Xueba, haha!
However, this ability was useless for the three subjects of English, Chinese and biology, which made Cheng Nuo feel very regretful.
Doesn't it mean that if you learn mathematics, physics and chemistry, you will not be afraid to travel all over the world!It would be great if only the three subjects of mathematics, physics and chemistry were tested in the college entrance examination.
Hey, I can only hope that the Chinese, English and Biology exams for this college entrance examination won’t be too difficult.
As for mathematics and physics?Hehe, naturally the harder it is, the better!
At this time, in the math group office, Old Tang was holding a test paper, frowning and deep in thought.
The signature on the test paper was Cheng Nuo...
………………
"Cheng Nuo, Old Tang is looking for you." Before the evening self-study class, Jiang Qingqing, the math class representative, returned to the classroom with a stack of test papers.
"Looking for me? What's the matter?" Cheng Nuo trembled a little when he heard Old Tang's name.
Could it be that Old Tang found out about the canteen at noon?But there was no fight, Old Tang wouldn't look for me because of this matter!
Jiang Qingqing was holding the test paper for the morning exam. She asked her classmates to hand out the test paper while answering Cheng Nuo's words, "I don't know that, but looking at Old Tang like that, it doesn't seem to be a good thing. Are you again? Are you causing trouble?"
Why did Jiang Qingqing say "again"?
Cheng Nuo belonged to the kind of person who never made big mistakes but kept making small ones.It wasn't once or twice that Old Tang called him to the office alone.
With Jiang Qingqing's eyes of "the wind is rustling, the water is cold, and the strong man will never return once he is gone", Cheng Nuo went to Lao Tang's office.
Sure enough, as soon as Cheng Nuo entered, he saw Old Tang's serious face.
"Teacher, are you looking for me?" I had no choice but to bite the bullet.
Old Tang glanced at Cheng Nuo with sharp eyes and sighed softly.
He took over the test paper that Cheng Nuo made this morning. It was full of check marks, and the score of '150' on the front was extremely bright red.
"You did this?"
Cheng Nuo looked at the test paper with his name clearly written on it, and nodded, "That's right, isn't my name written on it?"
"I mean you did it yourself, did you take any chances?"
As Cheng Nuo's math teacher for two years, Old Tang naturally knew Cheng Nuo's math level very well.It can only be said to be average, not good, and not too bad.But this test paper is definitely not something that Cheng Nuo can complete, and it is impossible to get a full score of 1.
Therefore, Old Tang suspected that Cheng Nuo had done it in some opportunistic way.As Cheng Nuo's math teacher and head teacher, Old Tang felt that it was necessary to stop such behavior in time.
Old Tang turned on the "Tang Monk" mode, teaching Cheng Nuo with a persuasive voice.
"Cheng Nuo, I know your grades. I can understand your desire to improve your grades, but you can't use those crooked ways. With your grades, if you work hard during this period, you may not have any hope of passing the exam. A key university... bah bah bah... bah bah bah..."
After half an hour, Old Tang seemed a little tired and stopped to drink water.Cheng Nuo finally found a chance to intervene.
"Teacher, you have to believe me, I really didn't cheat in this exam!"
Cheng Nuo was also heartbroken.
After Old Tang talked for so long, Cheng Nuo understood what Old Tang meant.Old Tang saw that he got a perfect score on the test paper this time, which was completely inconsistent with his previous performance, so he suspected Cheng Nuo of cheating.
Hey, if I had known this was the case, I wouldn’t have been so cool and could have finished this set of test papers according to my usual level!
When Old Tang saw that Cheng Nuo still refused to acknowledge his teachings for so long, he felt angry for no reason.
He slapped the table and said, "I didn't cheat! Since I didn't cheat, how did you solve such a difficult question?! Don't tell me that your brain suddenly became enlightened. If your brain suddenly became enlightened, then how did you solve this question?" Give me a try."
The most important thing for a math teacher is all kinds of difficult math problems. In order to make Cheng Nuo completely give up, Old Tang directly asked Cheng Nuo to do a Mathematical Olympiad problem.
This Olympiad problem is not easy.This is a question in a Mathematical Olympiad competition three years ago.
It is said that only a dozen of the thousands of students across the country who participated in the competition could solve this question.
"As long as you can solve this problem here today, I believe you are not cheating!"
"Really?"
"Is what I said false?"
"But the last time your physical education teacher asked for leave, it turned out..."
"Go away and write quickly."
Cheng Nuo took the question from Old Tang.
The distance TA=a, TB=b, TC=c, TD=d from a point T to the four vertices in the tetrahedron ABCD, find:
1. The maximum volume of tetrahedron ABCD and the conditions for obtaining the maximum value.
2. The maximum value of the surface area of tetrahedron ABCD and the conditions for obtaining the maximum value.
The conditions given in the title are few and simple.
Cheng Nuo glanced at it, and for a while, there was no clear idea in his mind.
Difficult, this question is difficult!I don't know where Old Tang got such a weird question.
For a moment, Cheng Nuo's attention was completely immersed in this question.
In his mind, countless letters and numbers were calculated back and forth, and a clear idea of solving the problem gradually took shape in Cheng Nuo's mind.
When Old Tang saw Cheng Nuo, he stood there in a daze, thinking that he had no idea at all.
So Old Tang pointed to an empty seat opposite him and said, "There is an empty seat over there. You can sit over there and do it. It is 8:10 and it will be 10 o'clock. As long as you can complete this task before 10 o'clock, Just figure it out. Of course, you can give up halfway.”
Seeing Cheng Nuo sitting opposite him, writing and drawing on a piece of paper, Old Tang smiled faintly, stopped paying attention to Cheng Nuo, and started preparing his lesson plan.
This kid will give up within half an hour!
(End of this chapter)
One afternoon, two English and two physics periods.Cheng Nuo spent almost all of his time studying his abilities.
After this morning, Cheng Nuo felt that his abilities were not that weak.
My eyes can digitize everything, and my brain has the powerful and precise calculation ability like a computer.
When the two cooperate with each other, many things can be accomplished.
For example, if you want to go somewhere, your brain will calculate the most time-saving route based on the various sets of data provided by Cheng Nuo's eyes.
The body wants to complete a certain action, and the brain can also give the muscle movement method that saves the most time and consumes the least energy for this action.
Moreover, with the help of the data in his mind, Cheng Nuo's control over his body has reached an extremely precise level.
If you want to use 5 Newtons of force, you will not use 5.1 Newtons.
If you want to jump a height of 0.2 meters, you will not jump 0.19 meters.
If you want to run at a speed of 10 m/s, uh... forget it.The ability didn't change Cheng Nuo's physique, he was still the weak chicken who could only run 14 meters in [-] seconds.
In addition, Cheng Nuo found that, in addition to mathematics, physics and chemistry, which dealt with numbers and data, Cheng Nuo could also easily solve problems in related subjects.Whether it is easy or difficult.As long as Cheng Nuo glanced at it, his mind card could basically come up with a clear idea to solve the problem.
This discovery made Cheng Nuo happy for a long time.Xueba, I really still have to be a Xueba, haha!
However, this ability was useless for the three subjects of English, Chinese and biology, which made Cheng Nuo feel very regretful.
Doesn't it mean that if you learn mathematics, physics and chemistry, you will not be afraid to travel all over the world!It would be great if only the three subjects of mathematics, physics and chemistry were tested in the college entrance examination.
Hey, I can only hope that the Chinese, English and Biology exams for this college entrance examination won’t be too difficult.
As for mathematics and physics?Hehe, naturally the harder it is, the better!
At this time, in the math group office, Old Tang was holding a test paper, frowning and deep in thought.
The signature on the test paper was Cheng Nuo...
………………
"Cheng Nuo, Old Tang is looking for you." Before the evening self-study class, Jiang Qingqing, the math class representative, returned to the classroom with a stack of test papers.
"Looking for me? What's the matter?" Cheng Nuo trembled a little when he heard Old Tang's name.
Could it be that Old Tang found out about the canteen at noon?But there was no fight, Old Tang wouldn't look for me because of this matter!
Jiang Qingqing was holding the test paper for the morning exam. She asked her classmates to hand out the test paper while answering Cheng Nuo's words, "I don't know that, but looking at Old Tang like that, it doesn't seem to be a good thing. Are you again? Are you causing trouble?"
Why did Jiang Qingqing say "again"?
Cheng Nuo belonged to the kind of person who never made big mistakes but kept making small ones.It wasn't once or twice that Old Tang called him to the office alone.
With Jiang Qingqing's eyes of "the wind is rustling, the water is cold, and the strong man will never return once he is gone", Cheng Nuo went to Lao Tang's office.
Sure enough, as soon as Cheng Nuo entered, he saw Old Tang's serious face.
"Teacher, are you looking for me?" I had no choice but to bite the bullet.
Old Tang glanced at Cheng Nuo with sharp eyes and sighed softly.
He took over the test paper that Cheng Nuo made this morning. It was full of check marks, and the score of '150' on the front was extremely bright red.
"You did this?"
Cheng Nuo looked at the test paper with his name clearly written on it, and nodded, "That's right, isn't my name written on it?"
"I mean you did it yourself, did you take any chances?"
As Cheng Nuo's math teacher for two years, Old Tang naturally knew Cheng Nuo's math level very well.It can only be said to be average, not good, and not too bad.But this test paper is definitely not something that Cheng Nuo can complete, and it is impossible to get a full score of 1.
Therefore, Old Tang suspected that Cheng Nuo had done it in some opportunistic way.As Cheng Nuo's math teacher and head teacher, Old Tang felt that it was necessary to stop such behavior in time.
Old Tang turned on the "Tang Monk" mode, teaching Cheng Nuo with a persuasive voice.
"Cheng Nuo, I know your grades. I can understand your desire to improve your grades, but you can't use those crooked ways. With your grades, if you work hard during this period, you may not have any hope of passing the exam. A key university... bah bah bah... bah bah bah..."
After half an hour, Old Tang seemed a little tired and stopped to drink water.Cheng Nuo finally found a chance to intervene.
"Teacher, you have to believe me, I really didn't cheat in this exam!"
Cheng Nuo was also heartbroken.
After Old Tang talked for so long, Cheng Nuo understood what Old Tang meant.Old Tang saw that he got a perfect score on the test paper this time, which was completely inconsistent with his previous performance, so he suspected Cheng Nuo of cheating.
Hey, if I had known this was the case, I wouldn’t have been so cool and could have finished this set of test papers according to my usual level!
When Old Tang saw that Cheng Nuo still refused to acknowledge his teachings for so long, he felt angry for no reason.
He slapped the table and said, "I didn't cheat! Since I didn't cheat, how did you solve such a difficult question?! Don't tell me that your brain suddenly became enlightened. If your brain suddenly became enlightened, then how did you solve this question?" Give me a try."
The most important thing for a math teacher is all kinds of difficult math problems. In order to make Cheng Nuo completely give up, Old Tang directly asked Cheng Nuo to do a Mathematical Olympiad problem.
This Olympiad problem is not easy.This is a question in a Mathematical Olympiad competition three years ago.
It is said that only a dozen of the thousands of students across the country who participated in the competition could solve this question.
"As long as you can solve this problem here today, I believe you are not cheating!"
"Really?"
"Is what I said false?"
"But the last time your physical education teacher asked for leave, it turned out..."
"Go away and write quickly."
Cheng Nuo took the question from Old Tang.
The distance TA=a, TB=b, TC=c, TD=d from a point T to the four vertices in the tetrahedron ABCD, find:
1. The maximum volume of tetrahedron ABCD and the conditions for obtaining the maximum value.
2. The maximum value of the surface area of tetrahedron ABCD and the conditions for obtaining the maximum value.
The conditions given in the title are few and simple.
Cheng Nuo glanced at it, and for a while, there was no clear idea in his mind.
Difficult, this question is difficult!I don't know where Old Tang got such a weird question.
For a moment, Cheng Nuo's attention was completely immersed in this question.
In his mind, countless letters and numbers were calculated back and forth, and a clear idea of solving the problem gradually took shape in Cheng Nuo's mind.
When Old Tang saw Cheng Nuo, he stood there in a daze, thinking that he had no idea at all.
So Old Tang pointed to an empty seat opposite him and said, "There is an empty seat over there. You can sit over there and do it. It is 8:10 and it will be 10 o'clock. As long as you can complete this task before 10 o'clock, Just figure it out. Of course, you can give up halfway.”
Seeing Cheng Nuo sitting opposite him, writing and drawing on a piece of paper, Old Tang smiled faintly, stopped paying attention to Cheng Nuo, and started preparing his lesson plan.
This kid will give up within half an hour!
(End of this chapter)
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