Okay, good, you're awesome.

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

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

Ten minutes later, the 12 semi-finalists were ushered into the examination room.

The examination room is decorated with a large conference room, which can accommodate nearly 100 people at the same time, spacious and bright.

There are only 12 contestants in the exam, which is very empty, and each contestant's seat is more than 5 meters away from the nearest person.

Before the start of the exam, the vice president of the Provincial Mathematics Association personally announced the rules of the semi-finals: "Students, you are top mathematicians from all schools in the province, first of all, I wish you good results in the semi-finals." ”

"The rules for the semi-finals are very simple, and there are three questions in the semi-final papers that will be distributed, with a total of 60 points. You can use any argument or argument to solve or prove a proposition, and the time to answer the question is 3 hours. ”

"As a general rule, you are not allowed to leave your seat during the test, so please raise your hand and ask the invigilator if you have any urgent matters. ”

"The final ranking of the semi-finals is based on the score of the paper, and the top six will enter the provincial team to prepare for the national competition. Seven to twelve will win the special prize of the provincial high school mathematics league, please believe me, the special prize awarded by the association will be more or less helpful to all students in the future academic path. ”

"So you've succeeded, there are no losers in this rematch. Now I announce that the semi-finals have begun, and I ask the invigilator to distribute the scratch paper and the semi-final exam papers. ”

Scratch papers and exam papers were quickly distributed to the 12 semi-finalists, and the exams began.

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

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

The first question is a geometry question, 15 marks.

The second question is an algebra question, 20 marks.

The third question is geometry again, 25 points.

It's all proof and answers.

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

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

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

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

Circles intersect with circles, circles intersect with triangles, triangles are connected to the circle, large triangles are set with small triangles, and there are as many as eighteen straight lines through circles and triangles, alternating horizontally and vertically, and obliquely inserted.

Can you make up this breathtakingly beautiful geometric pattern?

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

Ask the respondent to solve the sine of one of the angles of the triangle WYQ ψ.

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

"The question is ...... It's really special!" Shen Qi reviewed the question for ten minutes, and did not start writing for a long time.

This question is quite rigorous, and it can be said that Euclidean geometry is taken 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 value of ∠ψ.

Gauss's new geometry is useless here, J. Porjo's non-Euclidean geometry is difficult to cite here, and Lobachevsky's non-Euclidean geometric trigonometry is a fallacy here.

Shen Qi's vast amount of mathematical knowledge was almost impossible to use on the first plane geometry problem.

It can be understood that Shen Qi's powerful spell has been sealed by some mysterious and ancient curse, and what he can do now is to fight monsters in the most primitive way and pick up cold weapons to fight hand-to-hand.

"The person who came up with this problem must be a master of the masters, he is not only proficient in middle school mathematics, but also proficient in undergraduate and even graduate and doctoral mathematics knowledge, he makes me very unhappy, very awkward, I have taught so much university mathematics knowledge, it is difficult to play. Shen Qi frowned, he had gone through several math exams in the past few months, and for the first time encountered a dilemma that it was difficult to write.

The vice president of the Provincial Mathematics Society, who is in his fifties and graduated from the Department of Mathematics at Fudan University, is one of many invigilators in the examination room.

The three questions in the semi-final exam paper were all made by the vice president, and he thought about these three questions for several days, and his hair fell out a lot, and 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 full score in the first test. "The vice president was impressed by the name Shen Qi and was quite impressed. The reason why all the three questions in the semi-final were personally written by the vice president has something to do with Shen Qi.

"Dumbfounded, young man, my own question is enough to burn a lot of your brain cells. The vice president smiled implicitly, and Shen Qi's dilemma of not being able to write was within his expectations.

Shen Qi, who was engrossed in the exam papers, did not notice that there was a middle-aged and elderly uncle standing behind him, this uncle was the master of the masters, and Shen Qi was very unhappy.

Twenty minutes passed, and Shen Qi, who had not written a word, could not wait any longer, and he tried to find a breakthrough using the nine-point contour theorem.

The nine-point contour theorem is also known as the "Feuerbach circle", that is, the midpoint of the three sides of the triangle, the three high vertical feet, and the midpoint of the line connecting the vertices with the nine points of the nine-point contour.

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

Shen Qi is using the most basic and simple mathematical theorem to solve an incomparably complex geometric problem.

This is a test of pure logical derivation ability, a challenge to the ability to observe graphics, advanced mathematical theories no longer work here, what Shen Qi can do is to come step by step, don't be anxious, don't panic, step by step to dig out clues, and finally find the key clues, and find the correct answer.

Forty minutes passed, and Shen Qi finally made a breakthrough when he used a pencil to pull out an Euler line on the extremely complicated original drawing, which he named K1K2.

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

"Yo he!" the vice president went around several rounds, and then went around behind Shen Qi, he couldn't help but snort, quite surprised.

All 12 contestants in the examination room encountered obstacles in the first geometry question, and half of the contestants had already given up the first geometry question and switched to the next two questions. But the latter two questions seem to be more difficult, and they show expressions of despair that they can't love.

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

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

"Hey, don't be, hurry up and answer the question!" the vice president reminded him solemnly, and then walked forward, pretending that he was just passing by.