Chapter 021 What the hell, there is someone
OK OK OK OK You are awesome.
Shen Qi was too lazy to talk to the boys around him.
Who can come here is not a top student, it is normal for a top student to be a little arrogant.
Ten minutes later, 12 rematch contestants were led into the examination room.
The examination room is decorated with a large conference room, which can accommodate nearly a hundred people at the same time, and is spacious and bright.
There are only 12 contestants taking the exam now, which is empty, and each contestant’s seat is more than 5 meters away from the nearest one.
Before the exam started, the vice president of the Provincial Mathematics Association personally announced the rules of 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 upcoming rematch test paper, totaling 60 points. You can use any argument or argument to solve or prove the proposition, and the answer time is 3 hours."
"In principle, you must not leave your seat during the exam. If you have any urgent matters, please raise your hand and ask the invigilator for instructions."
"The final ranking of the rematch is based on the scores of the chapters. The top six will enter the provincial team and prepare for the national competition. The seventh to twelve will win the first prize of this provincial high school mathematics league. Please believe me. The first prize awarded by me will be more or less helpful to all students' future academic journey."
"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, and ask the invigilator to distribute draft paper and rematch test papers."
Draft paper and test papers were quickly distributed to 12 rematch contestants, and the exam began.
Shen Qi was already ready. When he got the test paper, he found that there were only three questions.
A test paper consists of three pieces of white paper, and a proposition is written in the upper left corner of each piece of white paper, and the rest is all blank.
The first question is geometry, 15 points.
The second question is algebra, with 20 points.
The third question is geometry, 25 points.
All are proof questions and answer questions.
From the perspective of score allocation, the higher the score, the harder the question. This is the general rule.
Shen Qi first did the simplest theoretical question, the first question.
Although this flat geometry question is only 15 points, it will definitely make 99.99% of high school students in China immediately have the urge to tear the test papers apart after reading it.
The complex pattern on the roll is composed of seven circles with different radii and twelve triangles of different sizes.
Circles intersect circles, circles intersect triangles, and triangles are connected in the circle. Large triangles are surrounded by small triangles, and there are as many as eighteen straight lines passing through the circles and triangles, alternating horizontally and vertically, and intersecting obliquely.
Can you imagine this beautiful geometric pattern?
The title gives two known conditions, the radius of the smallest circle, and the length of the shortest straight line.
The answerer is asked to solve the sine value of an angle ψ of the triangle WYQ.
The English letters have already reached Y, and the Greek letters have reached the second to last ψ, which shows that this question is definitely not simple.
"This question is... so good-quality!" 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 it has brought Euclidean geometry to the extreme.
Shen Qi felt that it was difficult for high school students to use the geometric knowledge in high school textbooks to solve the sine value of ∠ψ.
Gauss's new geometric theory is useless here, J. Borjo's non-European geometric discourse is difficult to quote here, and Robachevsky's non-European geometric trigonometry is like a fallacy here.
The large amount of mathematical knowledge that Shen Qi has reserved is almost impossible to use on the first plane geometry problem.
It can be understood that Shen Qi's powerful spell was sealed by some mysterious and ancient curse. All he could do now is to use the most primitive way to fight monsters and pick up cold weapons to fight.
"The person who asked this question must be a master among the experts. He is not only proficient in middle school mathematics, but also proficient in math knowledge for undergraduate and even graduate students and doctoral students. He made me very unhappy and very awkward. I have taught so much university mathematics knowledge by myself, but it is difficult to perform." Shen Qi frowned. He has experienced several math exams in the past few months and suffered the dilemma of following the writing for the first time.
The vice president of the Provincial Mathematics Society was in his fifties and graduated from the Department of Mathematics of Fudan. He walked in the examination room and was one of the many invigilators.
The three questions in the rematch test paper were all asked by the vice president alone. He thought about these three questions for several days and lost a lot of hair. It was not until last night that he finally finished the draft.
The vice president quietly walked behind Shen Qi and watched quietly.
"Shen Qi, Nangang No. 2 Middle School, was him. I got a full mark in one test." The vice president was impressed by the name Shen Qi and was quite profound. The reason why all the three questions in the rematch were given by the vice president himself was related to Shen Qi.
"You're stunned, young man, the questions I gave myself are enough to burn a large number of brain cells to death." The vice president smiled implicitly, and Shen Qi's dilemma of being unable to write was as expected.
Shen Qi, who was fully focused on the test paper, did not find a middle-aged and elderly uncle standing behind him. This uncle was the master of the master, which made Shen Qi very upset.
Twenty minutes passed, and Shen Qi, who had not written a word, could not wait any longer. He tried to use the nine-point common circle theorem to find a breakthrough.
The nine-point common circle theorem is also called "Feuerbach's circle", which is the midpoint of the three sides of a triangle, three high hanging feet, and the midpoint of the line connecting the vertices.
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 simplest mathematical theorem to solve an extremely complex geometric problem.
This is a test of pure logical derivation ability and a challenge to the ability of graphical observation. Advanced mathematical theories are no longer useful here. What Shen Qi can do is to do step by step. Don’t be impatient, don’t panic, and dig out clues step by step, and finally find the key clues and find the correct answer.
Forty minutes passed, Shen Qi finally made a breakthrough. He used a pencil to pull out an Euler line on the extremely complicated original picture, and he named the auxiliary line K1K2.
All 26 English letters have been used up, and Shen Qi can only sort them to the K-header according to sorting, take two points K1 and K2, and connect them into a straight line K1K2.
"Oh!" The vice president circled around for several rounds, then walked behind Shen Qi again. He couldn't help but snorted, quite surprised.
All 12 contestants in the exam room encountered obstacles in the first geometry question. Half of the contestants had given up on the first geometry question and turned to the next two questions. But the last two questions seemed even more difficult, and they showed a desperate expression of despair when they were born.
"This kid is OK. I only took 40 minutes to find this Euler line. The observation and deduction power are quite good." The vice president continued to stand behind Shen Qi with interest and observed.
Shen Qi suddenly felt a chill coming from behind him, and he subconsciously glanced back: "Damn, there is someone!"
Chapter completed!