Shen Qi knew that those who produced the National Competition Examination Papers of the China League of China were well-known mathematics experts in China, and those who produced the IMO International Competition Examination Papers were internationally well-known mathematics experts.

Last year's national test paper was jointly prepared by deputy director of the Institute of Mathematics of the Chinese Academy of Sciences, professor of mathematics at Tsinghua University, and professor of mathematics at Fudan. Last year's IMO final test paper was jointly prepared by professor of mathematics at Princeton, professor of mathematics at Trinity College in Cambridge, and professor of mathematics at the University of Tokyo.

The questioner of this provincial rematch test paper must be a positioned expert in the mathematics community in the province.

The vice president of the Maritime Mathematics Society is about 1.6 meters tall, with a few strands of thin hair hanging on his forehead, thin lips, and a mouth of smoked yellow teeth as soon as he opened his mouth. It was obviously an old smoke gun.

Shen Qixin said he was a bargaining uncle in the vegetable market. He said he was a math expert in the province. Shen Qi felt sad. Could it be that people who do mathematics would become like this in their later careers? The higher the academic level, the lower the image?

"This expert, since you gave the test paper, then you can read it." Shen Qi compromised. You like to take a look. This is your territory. What can I do?

The vice president smiled and did not speak, took two steps back and maintained a certain safe distance.

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

This question is difficult and interesting.

The question asked the answerer to draw a schematic diagram of the planetary motion of the solar system, and the graphics used can only contain ellipses, straight lines and points.

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

But if you don’t understand mathematics, it will be difficult for the answerer to draw a correct diagram.

If you only understand mathematics and know nothing about the most basic physics or astronomy, you cannot give a correct schematic diagram.

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

To give the correct answer, you need to have at least three most basic physics or astronomy common sense: the solar system has eight planets, which rotate around the sun while rotating, and Kepler's first law.

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

Gold, wood, water, fire, earth, earth, Neptune, and Uranus all revolve around the sun. Of course, this is common sense, and elementary school students know it.

Kepler's first law explains: "The orbit of each planet is not the result of a dynamic circle combination but an ellipse, and the sun is at its focus." This law is recorded in high school physics textbooks.

In fact, many high school students have a large amount of knowledge and information, which are available in all subjects. This information is scattered in their brains and stored in fragmented ways. If they cannot be effectively connected according to reasonable logic, they will find it distressingly that I have read a lot of books, but I still can't do the questions. Such comprehensive problems cannot be written at all.

This reflects the importance of mathematics. Mathematics is a powerful general tool that serves various natural sciences and provides concise and effective mathematical descriptions and series-focused thinking logic.

Even Newton could not perfectly explain astronomy, mechanics and optical phenomena in pure physical language, so he invented integrals, and he used mathematical language to explain physical phenomena and celestial motion. Einstein was the same, and Kepler.

There is only one sentence for the text description of Kepler's first law. Kepler used a lot of mathematical theories to deduce this sentence. He was an all-round scholar and had extremely high attainments in astronomy, mathematics and optics.

In addition to mathematics, Shen Qi's other subject indicators are all level 1, including physics.

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

Using geometric mapping to explain planetary motion in the solar system also involves some algebraic calculations, such as taking the Earth's orbital period and its semi-spindle to the sun as units of time and distance, which actually constitutes a system of equations. Kepler used complicated algebraic methods to solve this system of equations, which took him seven years. On the day Kepler's death, Newton and Leibniz were not born yet, so Kepler did not know the existence of integral like cheats.

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

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

Of course, two-dimensional drawing is just a simple quantitative and qualitative approach. What the two-dimensional world can explain is a schematic diagram. Higher dimension accurate explanation cannot be achieved with Shen Qi's current mathematical level.

Seeing Shen Qi 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 eight years ago, a math genius from their No. 2 Middle School produced a math genius, and the feng shui of the second Middle School took turns. The silence of No. 2 Middle School finally broke out."

It took a total of 2 hours and 35 minutes. Shen Qi completed the answers to all three major questions in the rematch test paper. He checked it and handed over the paper and left the examination room.

Five minutes later, the vice president announced: "The 3-hour answering time has come, please hand in the paper."

"Disaster!"

“It’s so difficult!”

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

"Despair!"

The other 11 contestants complained that the rematch test paper was too difficult and none of them were sure to get the full mark.

12 contestants, including Shen Qi, stayed in the headquarters building of the Provincial Mathematics Society for lunch.

At the same time, the marking work is underway.

In addition to the vice president, 12 judges approved 12 rematch test papers at the same time, each of which was awarded one copy.

The progress of the paper marking progress was very fast, and preliminary results were obtained 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 rematch test paper.

"Shen Qi, is it him again?"

"He actually got full marks again?"

"This student Shen Qi is really so magical?"

"The difficulty of the rematch test paper is several times more difficult than a trial."

The other judges expressed surprise that only Shen Qi among the 12 contestants got a full score of 60, while the second-ranked 35 points, and a total of 3 people got 35 points, tied for second.

The vice president nodded and said, "The initial review result is indeed the case. Only Shen Qi got the full score and was 25 points ahead of the second place. The review will begin below. Please exchange the high school entrance examination papers."

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

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

"Old Qin, I remember that Shen Qi's test paper was approved by you. It's the turn of the rematch test paper, right?"

"Lao Qu, I'll give you this pack of cigarettes. He Tianxia, ​​the store sells more than 100 packs. Shen Qi's rematch test paper will be reviewed for me."

"It's great with the world? Lao Qin, do you think I'm very poor and can't afford good cigarettes, right?"

"Lao Qu, why do you always like to criticize me? I think you should change your name to Lao Du."

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

The judges started arguing about competing for Shen Qi's re-examination rights.

The vice president was furious: "What quality, what quality! You are all senior intellectuals, why are you quarrels? Aping took Shen Qi's papers to copy 11 copies, each judge was one copy, and the review was also reviewed."
Chapter completed!