I Just Want to Be a Quiet Top Student

Shen Qi took the blank paper handed over by Director Liu: "Alright, I'm a newcomer, so let's do the questions first."

"I'll give you an hour. I'll go out for dinner." Officer Liu stood up and looked at his watch. It was past five o'clock, and it was almost time for dinner.

"I'm really hungry too." Speaking of eating, Shen Qi was indeed hungry.

"Complete this question within the specified time and get the correct answer before you are allowed to eat dinner." Officer Liu said with a blank expression, and added: "This is the first rule of the Olympiad national team."

"Officer Liu, you are not allowed to treat minors like this according to the law!" Shen Qi strongly protested, and he was not allowed to eat if he couldn't answer the question, it was so cruel, we are a socialist legal country! This shock was too shocking to hold back.

"Shen Qi, you are a gold medalist in a math competition and a national champion, not an ordinary minor." Director Liu was not soft-hearted at all. He pointed to every corner of the office of more than 20 square meters: "The problem-solving process Among them, you can consult any mathematical literature in this room, many of which are not for sale, and the Chinese Mathematics Association obtained them through special channels. You should feel lucky, because you are swimming in the ocean of knowledge."

"I came to your great capital as a high school student from another place. I have no relatives, no reason, no friends. What can I do? Officer Liu, you can do whatever you want. You are a big boss, so I can only submit." Shen Qi had no choice, he are vulnerable groups.

Officer Liu then left, leaving behind a ruthless back.

Shen Qi pulled up a chair and sat down, spread the white paper in his hand on the table, and carefully reviewed the questions on the paper.

The first thing that catches the eye is a simple pattern, a straight line runs through an ellipse, like a flattened "日".

At the 12 o'clock, 3 o'clock, and 9 o'clock positions of the word "日", mark y(x), x2, and x1 respectively.

Below is the text description:

"According to the figure above, the unknown function appearing in the integrand makes the integral reach maximum or minimum. The specific description is the shape that the rotating surface must have when the axial direction moves at a constant rate and the motion resistance is the least. Then its mathematics What is the description?"

The question surface is not complicated, everyone can recognize the graphics and Chinese characters, but it can be conservatively estimated that more than 99% of high school students in China don't know it well. Why do I need this question?

"Hehe, hehehehe." Shen Qi smiled like a fool.

He smirked because it was time for dinner.

This question is not difficult. For Shen Qi, the summary in one sentence is: use mathematical language to describe simple physical movements.

This requires the respondent to have a relatively deep reserve of mathematical knowledge, and the reserve of physics knowledge to the scope of compulsory high school textbooks including Newton's three laws is sufficient.

Shen Qi answered immediately, writing out his mathematical description on this A4 white paper.

To put it simply, Director Liu casually threw a ball onto the lake. The ball jumped on the lake and finally floated on the lake. Please explain this common phenomenon in mathematical language.

Shen Qi used the theory of Euler's steepest descending line, that is, the finite sum was used instead of the integral, and the difference quotient was used to replace the derivative in the integrand.

This not-so-deep theory is extremely widely used, and its function is to make the integral a function composed of a finite number of coordinates of y(x).

Shen Qi drew an arc on the white paper, a very simple technique.

This operation is not difficult, and most engineering students who have scored 80 or 90 in the online proxy test can complete it.

Shen Qi's operation is still going on, by making the variation of the integral equal to zero, and using a rough limit process to transform the obtained difference equation, he obtained the conditions that must be satisfied to minimize the arc.

Shen Qi's answer filled one side of the A4 blank paper, it's done.

Looking at the time, only 15 minutes had passed, Director Liu had not yet returned, and Shen Qi was also idle, so he turned the A4 white paper over and continued to write.

Shen Qi's operation this time is a little more complicated, to maximize or minimize the points, it doesn't necessarily have to be a differential quotient.

Euler's method is only an entry-level method, and Lagrange's method is an advanced one.

Shen Qi traced a new moon on the white paper, and deduced the endpoint conditions that must be satisfied by the minimization curve with variable endpoints. This process is quite tortuous.

After 20 minutes, Shen Qi gave a second mathematical explanation.

Seeing that there was still time, Shen Qi casually took a new piece of white paper and began to deduce the third mathematical explanation.

At 6:20, Shen Qi was really hungry. He put his pen on the table and opened his backpack to look for something to eat: "Why isn't Director Liu coming back? Let's eat a chicken leg first."

After tearing open the sealed package, Shen Qi ate the chicken drumsticks, and he walked around the office while eating.

"This is indeed an ocean of knowledge. There are so many books, some of which cannot be seen outside."

""Opera-Omnia", L.Euler... What the hell is this, a book in English... Hey, wait, I seem to know the author, Euler, this is Euler's book... Damn, I can't read it in English Understood, change one."

"Your sister...Anna is here, my brother...Damn it, this book is even better, a French book! The author is... Lagrange. Damn, I can't read all French, so get another one."

"Dizzy...there's a Russian version of literature... Mr. Liu is a foreign language expert? There aren't many Chinese mathematics literature in this room."

Shen Qi was stunned. Officer Liu's office was a sea of ​​mathematical knowledge, but there were not many books he could understand. Almost all of Officer Liu's collections were references in foreign languages.

Shen Qi is very interested in the reprints of Euler and Lagrange mathematics works. This kind of precious mathematics literature cannot be bought in bookstores or Taobao outside, unless it is overseas.

However, no matter how interested you are, it is useless not to understand foreign languages.

"Should I upgrade my English?" Shen Qi stood in front of a wall of books, gnawed on a braised chicken leg, lost in thought.

At this time, Director Liu came back, and he was very dissatisfied when he saw that Shen Qi was eating chicken legs instead of burying his head in the questions: "Shen Qi! Who allowed you to eat chicken legs? You violated the team rules when you came to the national team to report on the first day. Your organization and discipline are too poor!"

"I'm hungry, I'm growing up, Officer Liu!" Shen Qi shouted innocently.

Director Liu said loudly: "Hunger is not a reason, stupid death is far more tragic than starvation! Throw away the chicken legs, and you are only allowed to eat after completing the questions!"

"Tyrant!" Shen Qi shouted, he reluctantly threw half a chicken leg into the trash can, and muttered softly: "Tyrant, Dark Tyrant..."

"Hey, that's not right! I've clearly finished the problem that Director Liu asked me, why should I throw away the chicken legs!" Shen Qi suddenly came to his senses.

"Why don't you tell me sooner when you're done?" Officer Liu walked to the desk and looked down at the white paper with the title.

"I'm starving and dizzy, I've lost my mind, I shouldn't have gone to Dark Tyrant at level 5." Shen Qi squatted on the ground sulking, this is the chicken leg my dad bought for me, it's full of fatherly love, shit, love me dad.

"What kind of mess is the dark tyrant?" Officer Liu frowned, and continued to review Shen Qi's answer: "Euler's second-order ordinary differential equation, counting as your answer is correct, and you can give this answer within one hour, which is quite satisfactory."

"Hmph..." Shen Qi lowered his head and hummed sullenly.

"Why are there words on the reverse side?" Director Liu turned the white paper over and was surprised for a moment: "Lagrangian indefinite integral formula, Shen Qi...you...you used two methods to answer this question I posed ...within an hour?"

Officer Liu covered his heart with his left hand, sweat was dripping from his forehead.

"Hmph... There is a piece of paper beside me." Shen Qi squatted on the ground, lowered his head, and wrote out of thin air on the ground with his fingers, writing the word "miserable".

"You...Shen Qi...actually know how to use Bernoulli's divergent series...you used three methods to answer this question I asked, within...within one hour?" Director Liu gasped heavily, unable to speak ask for it.

"Who can be worse than me, only allowed to do problems, not allowed to eat." Shen Qi muttered to himself.

Boom!

There was a muffled sound.

Officer Liu fell to the ground with a crash.

"Damn it?" Shen Qi raised his head suddenly, and found Director Liu lying on the ground twitching violently.

"Officer Liu, what's the matter with you? You must not die!" Shen Qi rushed to Officer Liu, stunned.

Secretary Liu pointed to a corner of the office with trembling hands: "Quick... hurry up and get... quick effect... Jiuxin pill...in the briefcase..."