Shen Qi knows that the people who produce the papers of the National Competition of the Federation of Data are well-known mathematics experts in China, and the people who produce the papers of the IMO International Competition are internationally renowned mathematics experts.

Last year's national competition papers were jointly written by the deputy director of the Institute of Mathematics of the Chinese Academy of Sciences, Tsinghua University Mathematics Professor, and Fudan Mathematics Professor, and last year's IMO Finals Examination Papers were jointly written by Princeton Mathematics Professor, Cambridge Trinity College Mathematics Professor, and University of Tokyo Mathematics Professor.

The examiner of this provincial semi-final must be an expert with status in the provincial mathematics community.

The vice president of the Provincial Mathematics Society is more than one meter tall, with a few strands of sparse withered hair hanging on his head, thin lips, and a mouthful of smoked yellow teeth as soon as he opens his mouth, which is obviously an old smoking gun.

said that he was an uncle who bargained in the vegetable market, Shen Qixin. Saying that he was an expert in mathematics in the province, Shen Qi felt sad. Could it be that people who are engaged in mathematics will become like this in the later stages of their careers, the more high-end the academics, the lower the image?

"This expert, since the paper was produced by you, then you can see it. "Shen Qi compromised, you like to take a look, this is your territory, what can I do?

The vice president smiled and didn't speak, took two steps back, and kept a certain safe distance.

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

It's a difficult and interesting question.

The question requires the respondent to draw a diagram of the planetary motion of the solar system, and the figures used can only contain ellipses, lines, and points.

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

However, if you don't know math, it will be difficult for the respondent to draw a 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 his next step.

To get the answer right, you need at least three basic knowledge of physics or astronomy: the eight planets in the solar system, which rotate around the sun while they rotate, and Kepler's first law.

In 2006, the International Astronomical Union defined Pluto as an asteroid and removed it from the nine planets in the solar system, so there are eight planets in the solar system.

Metal, wood, water, fire, earth, earth, Neptune, and Uranus all revolve around the sun, which is of course common sense, and elementary school students know it.

Kepler's first law explains: "The orbit of each planet is not the result of a union of moving circles, but an ellipse, with the Sun at one of its focal points." This law is documented in high school physics textbooks.

In fact, many high school students have a large amount of knowledge and information, which is scattered in their brains and stored in a fragmented way. If they can't connect it effectively according to reasonable logic, they will be distressed to find that I have read a lot of books, but I still can't do the questions, and I can't write about that kind of comprehensive problem at all.

This shows the importance of mathematics, which is a universal and powerful tool that serves the natural sciences by providing concise and effective mathematical descriptions and concatenated focused thinking logic.

Even Newton could not perfectly explain astronomy, mechanics, and optical phenomena in a purely physical language, so he invented integrals, and he explained physical phenomena and celestial motions in mathematical language. The same was true of Albert Einstein, as well as Kepler.

Kepler's first law is described in only one sentence, Kepler deduced this sentence with a lot of mathematical theory, he was an all-round scholar, and he was highly accomplished in astronomy, mathematics, and optics.

Shen Qi, except for mathematics, all other subject indicators are level 1, including physics.

The physical indicators of level 1 are just enough, what Shen Qi has to do is to use geometric drawing to expound Kepler's first law, he takes the S point to represent the sun, and the eight points A, B, C, D, E, F, G, and H represent the eight planets of the solar system.

Explaining the motion of the planets in the solar system by geometric graphing also involves some algebraic calculations, such as taking the Earth's orbital period and its semi-major axis to the Sun as the units of time and distance, which actually constitute a system of equations. Kepler used complicated 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 about the existence of such an open hanging.

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

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

Of course, two-dimensional drawing is only simple quantitative and qualitative, and what can be explained by the two-dimensional is schematic, and the accurate elaboration of higher dimensions cannot be done at Shen Qi's current mathematical level.

Seeing that Shen Qi was about to solve the last question, the vice president had mixed feelings: "This young man named Shen Qi from Nangang No. 2 Middle School is a talent! I remember that eight years ago, there was a mathematical wizard in their No. 2 Middle School, and the feng shui took turns, and 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 for Shen Qi to complete the answers to all three questions in the semi-final exam paper, and he checked it and handed in the paper and left the examination room.

Five minutes later, the vice president announced, "The 3-hour time has arrived, please submit the papers." ”

"Difficult!"

"It's so hard!"

"I did a 5-point question in 3 hours, and the rest of the time I was in a daze!"

"Despair!"

The remaining 11 players complained that the difficulty of the semi-final exam paper was too high, and none of them were sure to get a full score.

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

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

Including the vice president, 12 judges reviewed 12 semi-final examination papers at the same time, and each person approved one.

The grading process was very fast, and the preliminary results were available after 10 minutes.

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

Luo Ming, Nangang Foreign Chinese 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 examination papers.

"Shen Qi, is it him again?"

"He actually got a perfect score again?"

"Is this Shen Qi really so amazing?"

"The semi-final exam paper is several times more difficult than the first attempt. ”

The rest of the judges expressed surprise that only Shen Qi scored a perfect score of 60 among the 12 contestants, while the second place was 35 points, and a total of 3 people scored 35 points, tied for second place.

The vice president nodded and said, "The result of the preliminary trial is indeed the case, only Shen Qi has received a full score and is as many as 25 points ahead of the second place. The review will begin below, and the judges will be asked to exchange the exam papers in their hands. ”

"Shen Qi's exam papers are given to me, and I will review him. ”

"Give it to me, give me Shen Qi's roll!"

"Lao Qin, I remember that Shen Qi's first test paper was approved by you, and it should be someone else's turn to take the semi-final exam paper, right?"

"Lao Qu, this pack of cigarettes is for you, and the world, the store sells more than a hundred packs. Shen Qi's semi-final exam papers were given to me for review. ”

"And the world is great, Lao Qin, do you think I'm poor and can't afford to buy good cigarettes?"

"Lao Qu, why do you always love me? I think you should change your name to Lao Song. ”

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

The judges quarreled in order to compete for Shen Qi's right to review the semi-final examination papers.

The vice president was furious: "What quality, what quality! You are all high-level intellectuals, what kind of quarrel! Ah Ping, take Shen Qi's volume and make 11 copies, one for each judge, and review it at the same time. ”