I Just Want to Be a Quiet Top Student

Okay, okay, you are awesome.

Shen Qi was too lazy to talk to the boys around him.

Anyone who can come here is not a top student, and it is normal for a top student to be a little arrogant.

Ten minutes later, the 12 rematch contestants were led into the examination room.

The examination room is composed of a large conference room, which can accommodate nearly a hundred people at the same time, and is spacious and bright.

Now there are only 12 contestants taking the exam, which is quite empty, and each contestant's seat is more than 5 meters away from the nearest one.

Before the exam, the vice-chairman of the Provincial Mathematical Society personally announced the rules for the rematch: "Students, you are top mathematics students from all schools in the province. First of all, I wish you good results in the rematch."

"The rules for the rematch are very simple. There are three questions in the rematch papers that will be issued, with a total of 60 points. You can use any argument or evidence to solve or prove the proposition, and the answering time is 3 hours."

"In principle, you are not allowed to leave your seat during the test. If there is something urgent, please raise your hand and ask the invigilator for instructions."

"The final ranking of the semi-finals is based on the scores on the paper. The top six will enter the provincial team and prepare for the national competition. Seven to twelve will win the special prize of this provincial high school mathematics league. Please believe me, I will award it The special award will more or less help the students in their future studies."

"So you have succeeded, there are no losers in this rematch. Come on, I wish you good luck! Now I announce that the rematch begins, please ask the invigilator to distribute the draft paper and the rematch test paper."

The draft paper and examination papers were quickly distributed to the 12 semi-finalists, and the examination began.

Shen Qi had already made preparations, and when he got the exam paper, he saw that there were only three questions.

An examination paper consists of three blank sheets of paper, a proposition is written in the upper left corner of each blank sheet, and the rest are all blank.

The first question is a geometry question, 15 points.

The second question is an algebra question, 20 points.

The third question is another geometry question, 25 points.

All proof and answer questions.

From the perspective of score distribution, the higher the score, the more difficult the topic is, and this is the general rule.

Shen Qi first did the easiest question in theory, the first question.

Although this plane geometry question only has 15 points, it can definitely make 99.99% of high school students in China immediately have the urge to tear up the test paper after reading it.

The complex pattern on the roll consists of seven circles with different radii and twelve triangles of different sizes.

Circles intersect circles, circles intersect triangles, triangles are inscribed in circles, large triangles enclose small triangles, and there are as many as eighteen straight lines passing through circles and triangles, alternating horizontally and vertically, and obliquely inserted.

Can you imagine this breathtakingly beautiful geometric pattern?

The title gives two known conditions, the radius of the smallest circle, and the length of the shortest straight line.

Respondents are required to find the sine of an angle ψ of triangle WYQ.

The English letter has been ranked to Y, and the Greek letter has been ranked to the penultimate ψ. It can be seen that this question is not easy.

"This question... is really good!" Shen Qi deliberated on the question for ten minutes, but did not write for a long time.

This question is quite rigorous, and it can be said that Euclidean geometry has been brought to the extreme.

Shen Qi felt that it was difficult for high school students to use the geometry knowledge in high school textbooks to solve the sine of ∠ψ.

Gauss's new geometric theory is useless here, J. Boyo's non-Euclidean geometry treatise is difficult to quote here, and Lobachevsky's non-Euclidean geometry trigonometry is a fallacy here.

Shen Qi had accumulated a large amount of mathematical knowledge, which was almost useless for the first plane geometry problem.

It can be understood that Shen Qi's powerful spells have been sealed by some mysterious and ancient curse. What he can do now is to fight monsters in the most primitive way and fight with cold weapons.

"The person who asked this question must be a master among the masters. He is not only proficient in middle school mathematics, but also proficient in undergraduate, graduate and doctoral mathematics knowledge. He makes me very uncomfortable and very awkward. I have taught myself so much college mathematics. Knowledge is actually difficult to use." Shen Qi frowned, he had gone through several math exams in the past few months, and it was the first time he encountered the difficulty of writing.

The vice president of the Provincial Mathematics Association is in his fifties and graduated from Fudan Mathematics Department. He paced the examination room and was one of the invigilators.

The three questions in the semi-final examination paper were all written by the vice president alone. He thought about these three questions for several days, and his hair fell out a lot. It was not until last night that the final draft was finalized.

The vice president quietly walked behind Shen Qi and watched quietly.

"Nangang No. 2 Middle School, Shen Qi, it's him, and he got a perfect score in the first test." The vice president has a deep impression of the name Shen Qi. The reason why the three questions in the rematch were all written by the vice president himself had something to do with Shen Qi.

"Don't be dumbfounded, young man. The questions I came up with are enough to burn a lot of your brain cells to death." The vice president smiled implicitly, Shen Qi's predicament of not being able to write was within his expectation.

Shen Qi, who was engrossed in the examination papers, did not realize that there was a middle-aged and elderly man standing behind him. This man was the best of the best, and Shen Qi was very upset.

Twenty minutes passed, and Shen Qi, who hadn't written a single word, couldn't wait any longer. He tried to use the nine-point co-circle theorem to find a breakthrough.

The nine-point co-circle theorem is also known as "Feuerbach's circle", that is, the midpoint of the three sides of a triangle, the three high vertical feet, the midpoint of the orthocenter and the midpoint of the line connecting the vertices, these nine points are in a circle.

Nine points in a circle is the basic knowledge of high school geometry, which is written in high school mathematics textbooks.

Shen Qi is using the most basic and simplest mathematical theorems to solve an extremely complicated geometry problem.

This is a test of pure logical derivation ability and a challenge to graphic observation ability. Advanced mathematical theory is no longer useful here. What Shen Qi can do is to take it step by step, don't be impatient, don't panic, and dig out clues step by step, and finally find the key clues to find the correct answer.

Forty minutes passed, and Shen Qi finally made a breakthrough. He used a pencil to draw an Euler line on the extremely complicated original drawing. He named this auxiliary line K1K2.

The 26 English letters have all been used up, Shen Qi can only sort them to the beginning of K, take two points K1 and K2, and connect them into a straight line K1K2.

"Hehe!" The vice president circled around several times, and then circled behind Shen Qi, he couldn't help but snorted, quite surprised.

All 12 contestants in the examination room encountered obstacles on the first geometry problem, and half of the contestants had given up on the first geometry problem and moved to the next two problems. But the latter two questions seemed to be more difficult, and they showed a desperate expression of lovelessness.

"This kid can do it. It only took 40 minutes to find this Euler line. His observation and deduction skills are quite good." The vice president continued to stand behind Shen Qi with great interest, observing.

Shen Qi suddenly felt a chill coming from behind him, and he subconsciously glanced back: "Damn it, there's someone!"

"Hey, don't be silly, answer the questions quickly!" The vice president reminded seriously, and then walked forward, pretending that he was just passing by.