I Just Want to Be a Quiet Top Student

Shen Qi knew that the people who produced the test papers for the Federation of Numbers National Competition were well-known domestic mathematics experts, and the people who produced the test papers for the IMO International Competition were internationally renowned mathematics experts.

Last year's national competition examination papers were jointly prepared by the deputy director of the Institute of Mathematics of the Chinese Academy of Sciences, professors of mathematics at Tsinghua University, and professors of mathematics at Fudan University. Last year's IMO finals examination papers were jointly prepared by professors of mathematics at Princeton, Trinity College of Cambridge, and professors of mathematics at the University of Tokyo.

The person who wrote the test paper for the provincial rematch must be a well-known expert in the province's mathematics field.

The vice-chairman of the Provincial Mathematics Association is about 1.6 meters tall, with a few wisps of dry hair hanging on his forehead, thin lips, and a mouthful of smoked yellow teeth when he opens his mouth. He is obviously an old smoker.

Said he was the uncle who bargained in the vegetable market, Shen Qixin. Shen Qi felt sad when he was said to be an expert in mathematics in the whole province. Could it be that people who engage in mathematics will become like this in the later stages of their careers, the higher the academic level, the lower the image?

"This expert, since you are the one who wrote the paper, then you can read it." Shen Qi compromised, you like to read it, this is your territory, what can I do?

The vice president smiled and said nothing, took two steps back and kept a certain safe distance.

Shen Qi stabilized his mood and continued to do the last geometry problem.

This question is difficult, but also very interesting.

The question requires the respondent to draw a schematic diagram of the motion of the planets in the solar system, and the graphics used can only contain ellipses, straight lines and points.

At first glance, this is a physics problem or astronomy problem.

But without mathematics, it is difficult for the answerers to draw the correct diagram.

If you only know mathematics, you don't know anything about the most basic physics or astronomy, and you can't give a correct schematic diagram.

"It's kind of interesting, quite interesting." After Shen Qi drew the first ellipse, he thought about the next plan.

To give the correct answer, at least three basic knowledge of physics or astronomy are required: there are eight planets in the solar system, they all revolve around the sun while rotating, and Kepler's first law.

It is common knowledge that there are eight planets in the solar system. In 2006, the International Astronomical Union defined Pluto as an asteroid and removed it from the nine planets in the solar system. Therefore, there are eight planets in the solar system.

Metal, Jupiter, Water, Fire, Saturn, Earth, Neptune, and Uranus all revolve around the sun. Of course, this is also common sense, and elementary school students know it.

The explanation of Kepler's first law is: "The orbit of each planet is not the result of a combination of moving circles but an ellipse, with the sun at one focus." This law is recorded in high school physics textbooks.

In fact, many high school students have accumulated a large amount of knowledge and information in various disciplines. This information is scattered in their brains and stored in a fragmented manner. If they can’t be connected effectively according to reasonable logic, they will be distressed to find that I have read a lot of books, but I still don’t know how to do the questions, and that kind of comprehensive problems can’t be written at all.

This reflects the importance of mathematics. Mathematics is a universal and powerful tool that serves all natural sciences. It provides concise and effective mathematical descriptions and serially focused thinking logic.

Even Newton could not perfectly explain the phenomena of astronomy, mechanics and optics with pure physical language, so he invented the integral, and he explained the physical phenomena and the movement of celestial bodies with mathematical language. Einstein as well, and Kepler.

The text description of Kepler's first law is only one sentence, and Kepler used a lot of mathematical theories to deduce this sentence. He is an all-around scholar with extremely high attainments in astronomy, mathematics, and optics.

Except for Mathematics, Shen Qi's other subject indicators are Level 1, including Physics.

The physical indicators of level 1 are just enough. What Shen Qi needs to do is to explain Kepler's first law with the geometric drawing method. He takes point S to represent the sun, A, B, C, D, E, F, G, The eight dots of H represent the eight planets of the solar system respectively.

Explaining the motion of the planets in the solar system by geometrical drawing also involves some algebraic calculations, such as taking the revolution period of the earth and its semi-axis to the sun as the unit of time and distance, which actually constitutes a system of equations. Kepler used complex algebraic methods to solve this system of equations, which took him seven years. On the day of Kepler's death, Newton and Leibniz had not yet been born, so Kepler did not know the existence of integrals.

On the day Newton and Leibniz died, Shen Qi was not yet born, so Shen Qi knew how to use points technically.

Through the combination of geometric drawing method and integral calculation, Shen Qi has obtained the laws of motion of the planets in the solar system, and described them with his mathematical method.

Of course, the two-dimensional drawing is only simple quantitative and qualitative, and what can be explained in the second dimension is the schematic diagram, and the precise explanation of higher dimensions is impossible even with Shen Qi's current level of mathematics.

Seeing that Shen Qi was about to solve the last question, the vice president was in a complicated mood: "This young man named Shen Qi from Nangang No. 2 Middle School is a talent! I remember that eight years ago, their No. 2 middle school had a math wizard, and Feng Shui took turns. The No. 2 Middle School, which had been silent for many years, finally broke out."

It took a total of 2 hours and 35 minutes. Shen Qi completed the answers to all the three major questions of the semi-final examination paper. After checking it once, he handed in the paper and left the examination room.

After 5 minutes, the vice president announced: "The 3-hour answering time is up, please submit your papers."

"Disaster!"

"too difficult!"

"I did a small question with 5 points in 3 hours, and I was in a daze for the rest of the time!"

"Desperate!"

The remaining 11 contestants complained that the exam paper for the rematch was too difficult, and none of them was sure to get full marks.

The 12 contestants, including Shen Qi, stayed in the headquarters building of the Provincial Mathematical Society and had lunch.

At the same time, the marking work is in full swing.

Together with the vice president, 12 judges reviewed 12 semi-final exam papers at the same time, one for each.

The marking progress is very fast, and the preliminary results will be available after 10 minutes.

"He Tao, Zhudao No. 1 Middle School, 5 points."

"Luo Ming, Nangang Foreign Language School, 35 points."

"Qian Shengyi, Qingjiao Experimental Middle School, 20 points."

"Tang Zhengwei, Zhanyang Middle School, 20 points."

...

"Shen Qi, Nangang No. 2 Middle School, 60 points." The vice president personally reviewed Shen Qi's semi-final exam paper.

"Shen Qi, is it him again?"

"He actually got full marks again?"

"This student Shen Qi is really so amazing?"

"The difficulty of the rematch test paper is several times that of the first test."

The rest of the judges expressed surprise. Among the 12 contestants, only Shen Qi got a perfect score of 60, while the second ranked player got 35 points. A total of 3 people got 35 points, tied for second place.

The vice president nodded and said: "The result of the preliminary review is indeed the case. Only Shen Qi got a full score and was 25 points ahead of the second place. Next, the review will start. Please exchange the test papers in hand."

"Give me Shen Qi's exam paper, and I'll review him."

"Give me, give me Shen Qi's test paper!"

"Old Qin, I remember that you were the one who approved Shen Qi's test paper for the first test. It must be someone else's turn for the semi-final test paper, right?"

"Old Qu, this pack of cigarettes is for you. He Tian Xia sells more than one hundred packs in the store. Let me review Shen Qi's semi-final exam paper."

"And the world is amazing? Lao Qin, you think I'm poor and can't afford good cigarettes, don't you?"

"Old Qu, why do you always hate me? I think you should change your name to Lao Qu."

"What's wrong with you, I'll kill you!"

In order to compete for Shen Qi's right to review the semi-final exam papers, the judges quarreled.

The vice president was furious: "What quality, what quality! You are all high-level intellectuals, why are you arguing! A Ping, take Shen Qi's paper and make 11 copies, one for each judge, and review at the same time. "