I just want to be a quiet scholar

chapter 20
Alright alright, you are awesome.

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

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

After 10 minutes, 12 rematch contestants were led into the examination room.

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

Now there are only 12 contestants taking the test, which is obviously empty. Each contestant's seat is more than 5 meters away from the nearest person.

Before the start of the test, the vice president of the Provincial Mathematical Association personally announced the rules of the rematch: "Students, you are the top mathematicians from all schools in the province. First of all, I wish you good results in the rematch."

"The rules of the semi-finals are very simple. There are three questions in the upcoming test paper, with a total of 60 points. You can use any arguments and arguments to solve or prove the propositions. The answering time is 3 hours."

"In principle, you are not allowed to leave your seat during the test. If you are in a hurry, please raise your hand and ask the invigilator for instructions."

"The final ranking of the semi-finals is based on the scores on the rolls. The top six will enter the provincial team and prepare for the national competition. The seventh 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 be more or less helpful to all students in their future academic paths.”

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

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

Shen Qi had already prepared, and when he got the test paper, he saw that there were only three questions.

An exam paper consists of three sheets of white paper, with a proposition written in the upper left corner of each blank sheet, and the rest are blank spaces.

The first question is a geometry question, 15 points.

The second question is algebra, 20 points.

The third question is a geometry question, 25 points.

It's all proof and solution questions.

From the point of score distribution, the higher the score, the more difficult it is. The general rule is this.

Shen Qi first took the simplest question in theory, the first question.

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

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

A circle intersects a circle, a circle intersects a triangle, a triangle is inscribed in a circle, a large triangle is surrounded by a small triangle, and there are as many as eighteen straight lines passing through the circle and the triangle, alternating horizontally and vertically, and obliquely inserted.

Can you figure out 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 asked to solve for the sine of one angle ψ of triangle WYQ.

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

"This question... is really good!" Shen Qi reviewed the question for 10 minutes, but he still didn't start writing.

This question is quite rigorous, and it can be said that the Euclidean geometry is 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.

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

Shen Qi's vast amount of mathematical knowledge was almost unusable in the first plane geometry problem.

It can be understood that Shen Qi's powerful spell was sealed by some mysterious and ancient curse. What he can do now is to use the most primitive way to fight monsters and pick up cold weapons to fight meleely.

"The person who came up with this question must be a master of masters. He is not only proficient in middle school mathematics, but also proficient in mathematics for undergraduates and even postgraduate and doctoral students. He makes me very unhappy and very awkward. I have taught myself so much college mathematics. Knowledge is difficult to exert." Shen Qi frowned, he had gone through several math exams in the past few months, and for the first time encountered the difficulty of writing.

The vice president of the Provincial Mathematics Association is in his 50s and graduated from Fudan Mathematics Department. He paced the examination room and was one of the invigilators.

The three questions in the test paper for the rematch were all written by the vice president. He thought about these three questions for several days, and he lost a lot of hair. 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. [-] Middle School, Shen Qi, that's him. He got a perfect score in the first test." The vice president was impressed by the name Shen Qi.The reason why all the three questions in the semi-finals were written by the vice president himself had something to do with Shen Qi.

"You're dumbfounded, young man, the questions I wrote myself are enough to burn a lot of your brain cells." The vice-chairman smiled implicitly, and the predicament that Shen Qi couldn't write was within his expectations.

Shen Qi, who was engrossed in the examination papers, did not notice that there was a middle-aged and elderly uncle standing behind him.

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 the triangle, the three high vertical feet, the perpendicular center and the midpoint of the line connecting the vertices are nine points in a circle.

The nine-point circle is the basic knowledge of high school geometry, and it is written in high school mathematics textbooks.

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

This is a test of pure logical derivation ability, and a challenge to the ability to observe graphs. Advanced mathematical theories are no longer useful here. All Shen Qi can do is to take it step by step. clues to find the correct answer.

After four or ten minutes, Shen Qi finally made a breakthrough. He drew an Euler line with a pencil on the extremely complicated original drawing, and he named this auxiliary line K10K1.

All 26 English letters have been used up, so 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.

"Yo!" The vice-chairman circled around for several rounds, and then circled behind Shen Qi. He couldn't help but snorted, quite surprised.

All 12 contestants in the test room encountered obstacles on the first geometry question, and half of the contestants had given up the first geometry question and moved to the next two questions.But the latter two questions seem to be more difficult, and they show a hopeless expression of hopelessness.

"This kid is fine. It only took 40 minutes to find this Euler line, and 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 glanced back subconsciously: "Fuck, there is someone!"

"Hey, don't lie, answer the question quickly!" The vice president reminded solemnly, and then walked forward, pretending that he was just passing by.

(End of this chapter)