I Just Want to Be a Quiet Top Student

　　 Good, good, you are awesome.

　　 Shen Qi didn't bother to talk to the boys around him.

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

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

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

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

　　Before the test, the vice president of the Provincial Mathematical Society personally announced the rules of the semi-finals: "Students, you are the top mathematics from all schools in the province. First of all, I wish you good results in the semi-finals."

　　 "The rules of the semi-finals are very simple. There are three questions in the upcoming semi-final exam papers, totaling 60 points. You can use any argument or evidence to solve or prove the proposition. The answering time is 3 hours."

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

"The final ranking of the semifinals is based on the scores. 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 math league. Please believe me, I will award it. The special prize will more or less help the students' future academic path."

　　 "So you have succeeded, and there are no losers in this semi-final. Come on, and good luck! Now I announce that the semi-final is starting, and the invigilator will issue draft papers and semi-final exam papers."

　　 The draft papers and test papers were quickly distributed to 12 rematch players, and the test began.

　　 Shen Qi was already prepared, and when he got the examination paper, there were only three questions.

　　 An examination paper consists of three blank papers, each with a proposition written in the upper left corner of the blank paper, and the rest are all blank spaces.

　　 The first question is geometry question, 15 points.

　　 The second question is an algebra question, 20 points.

　　 The third question is geometry question again, 25 points.

　　 are all proof and solution questions.

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

　　 Shen Qi will do the simplest 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 have the urge to tear up the test paper immediately after reading it.

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

　　The circle and the circle intersect, the circle and the triangle intersect, the triangle is inscribed in the circle, the large triangle is surrounded by the small triangle, there are as many as eighteen straight lines passing through the circle and the triangle, alternating horizontal and vertical, and diagonally inserted.

　　 Can you make up this breathtakingly beautiful geometric pattern?

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

　　 Ask the respondent to find the sine of an angle ψ of the triangle WYQ.

　　 The English letters have been arranged to Y, and the Greek letters are arranged to the penultimate ψ, which shows that this question is by no means easy.

　　 "This question... is really good!" Shen Qi reviewed the question for ten minutes, but he didn't write it for a long time.

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

　　 Shen Qi feels that it is difficult for high school students to use the geometric knowledge in high school textbooks to find the sine of ∠ψ.

　　 But Gauss’s new geometric theory is useless here, J. Polyo’s non-Euclidean theory is difficult to quote here, and Lobachevsky’s non-Euclidean geometric trigonometry is like a fallacy here.

　　 The large amount of mathematical knowledge that Shen Qi reserves can hardly be used in 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 use the most primitive way to fight monsters and take up cold weapons.

"The person who came up with this problem must be a master of masters. He is not only proficient in middle school mathematics, but also proficient in mathematics knowledge of undergraduates, graduates, and doctoral students. He makes me very uncomfortable and very awkward. I have studied so many university mathematics by myself. Knowledge is really hard to use." Shen Qi frowned. In the past few months, he had gone through several math exams, and for the first time he encountered the difficulty of writing.

　　The vice president of the Provincial Mathematical Society is in his fifties. He graduated from the Fudan Department of Mathematics. He paces in the examination room and is one of the many invigilators.

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

　　The vice chairman quietly walked behind Shen Qi and waited quietly.

　　 "Nangang No. 2 Middle School, Shen Qi, it is him, and I got a perfect score on the test." The vice chairman was impressed by the name of Shen Qi, and he was quite deep. The reason why all three questions in the semi-finals were set by the vice chairman himself has something to do with Shen Qi.

　　 "Be dumbfounded, boy, the question I personally asked is enough to burn a lot of your brain cells." The vice chairman smiled implicitly, and Shen Qi's embarrassment that he could not write was expected.

　　 Shen Qi, who was engrossed in the examination papers, did not notice a middle-aged and elderly uncle standing behind him. This uncle was a master of masters, who made Shen Qi very upset.

Twenty minutes later, Shen Qi, who hadn’t written a word, couldn’t wait any longer. He tried to use the nine-point cocircularity theorem to find a breakthrough~www.readwn.com~ the nine-point cocircularity theorem is also called "Feuerbach’s circle". ", that is, the midpoint of the three sides of the triangle, the three high vertical feet, and the midpoint between the vertical center and the vertices of the nine points are 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 theorem to solve an extremely complex geometric problem.

This is a test of pure logic derivation ability and a challenge to graphical observation. Advanced mathematical theories are no longer useful here. What Shen Qi can do is to do it step by step, don’t be impatient, don’t panic, step by step to dig for clues, and finally find the key Clues, solve 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 image, and he named this auxiliary line K1K2.

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

　　 "Oh!" The vice-chairman went around for several rounds, then went around 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. Half of the contestants had already given up the first geometry problem and moved to the next two problems. But the latter two questions seemed more difficult, and they showed a desperate expression of nothing to love.

　　 "This kid is okay. I found this Euler line in only 40 minutes. The observation and derivation are quite good." The vice president continued to stand behind Shen Qi with great interest and observe.

　　 Shen Qi suddenly felt a chill coming from behind him, and he subconsciously glanced back: "Fuck, there is someone!"

　　 "Hey, stop fucking, answer the questions quickly!" The vice president reminded him seriously, and then walked forward, pretending that he was just passing by.