Volume 1 The Year of the Hair Bundle Chapter 9 Mathematics League (II)

Mr. He knows that the proof idea that Gao Geli said is the category of advanced mathematics, which needs to use determinant proof, and the determinant calculus is very troublesome, if Gao Geli can't do it, he will not be surprised, after all, he is already very satisfied with the performance of the freshman in front of him, and this sense of satisfaction is not the biggest motivation for him to become a teacher?!

However, Gao Geli did not intend to stop fighting, he obviously wanted to bring more surprises to this Teacher He, he directly picked up a wet cloth and wiped the blackboard, and then said: "Teacher, the calculus of the determinant takes up more space, I'll wipe the blackboard first." ”

"Please." At this time, Mr. He was looking at him with his arms crossed and a smile on his face, waiting for his calculation process.

The audience also whispered at this time......

"What is this dude doing? Look at the movement is to magnify the move. ”

"This man's name is Gao Geli, right? Is that the one sitting next to Chen Jie? ”

"These two people who are usually inconspicuous turn out to be great gods!"

After a while, the blackboard was filled with a bunch of strange symbols, and Mr. He graduated from the Department of Mathematics of a college and naturally recognized these symbols - the main ones used were the homogeneous linear recursive number series, the Casorati determinant and the Van der Mon determinant, but the students below were a little difficult to look at the book of heaven on the blackboard. Some people even joked: "Let's wash and sleep, the places for the top students in arts and sciences have been booked......"

Chen Jie sat in the last row and looked at Gao Geli's board book as if he found something wrong, so he secretly laughed, his movements were extremely slight, but he shook his shoulders imperceptibly, but he didn't expect to be discovered by the sharp-eyed Teacher He, he pointed to Chen Jie and said: "The classmate sitting in the last row, what were you laughing at just now?" Yes, don't hide, just talk about you, you stand up and say it. ”

Chen Jie stood up very reluctantly, thinking that he could be found out if he was stealing fun, has it been so difficult to keep a low profile in the past two years?

"This classmate, if you laughed just now, you must have seen the problem with this proof, tell me your opinion."

At this time, I don't know which classmate who likes to take the stubble began to mutter: "Isn't it, Chen Jie can also understand the board book on it?" Isn't he also very good at math? This is too rebellious, isn't it?! ”

For Chen Jie, whether it is praise or disapproval, he never likes to expose himself to the spotlight, nor does he want to show himself too publicly, so he just nodded very vaguely: "A person can only live from 30 to 60 years old, and cannot live from 60 years old back to 30 years old." ”

Although Chen Jie's expression was subtle, Teacher He still understood the meaning of the words, and he asked Gao Geli: "This classmate, do you understand what he means?" ”

Gogli shook his head.

Teacher He explained: "You can only use the methods of lower mathematics to derive the conclusions of higher mathematics, but you should not use the methods of higher mathematics to return to deduce the formulas of lower mathematics, understand? But I'm also very satisfied with your derivation, the idea is compact, there is nothing missing in the middle, you are very careful, what is your name. ”

"Teacher, my name is Gao Geli."

"Okay, you go back first, that classmate just now, what's your name?"

Without waiting for Chen Jie to answer, the fast-talking classmate had already rushed to answer: "Teacher, his name is Chen Jie." ”

"Okay, Chen Jie, right? If it were you, how would you prove that the general formula of this series of numbers must be represented by a proportional series? ”

In fact, Chen Jie had already come up with an idea when Teacher He spoke just now, so he replied: "Since the problem is in high school, I believe that this problem can be solved in high school." In the high school syllabus, only the equal difference series and the proportional number series are required to be mastered, and this number series knows at a glance that it must not be the equal difference series, so I can guess that he must be the equal proportion number series, then suppose there are two numbers to make the equal ratio series stand and then establish the equation, as long as these two numbers can be found, then he must be the equal proportion number series. ”

Teacher He understands that Chen Jie uses the idea of reasonable conjecture, because the general formula of this number series is not too complicated, so the cost of trial and error using conjecture is not large, especially Chen Jie even moved out of the exam syllabus, so the possibility of this conjecture has become unique, so the method given by Chen Jie cannot but be said to be very ingenious.

Teacher He looked at Gao Geli and Chen Jie as if he were looking at two baby bumps, and then said to Chen Jie with a smile: "Your idea is very clever, but this is indeed a solution. Unfortunately, we have limited time today, so we won't discuss it anymore, so you can sit down first. ”

At this time, Mr. He looked at his watch, and then said: "The purpose of today's question is to do a thorough investigation, and it is now September, and it is time to register for the annual high school math league. I would like to remind you that this is a national event, with a high gold content, and the award-winning students have the opportunity to be admitted to the university according to the policies of previous years. ”

Then Mr. He began his promotion work, only to hear him say: "After the end of the league, the first, second and third prizes will be divided, and the students with scores in the first echelon will organize a winter camp, and there will be another round of exams before the end of the winter camp, and the results will be selected into the provincial team to participate in the CMO instead of the province, that is, the National Mathematics Olympiad." ”

"In this event, I have the impression that the top 50 students will be selected into the national training team, and finally 5 people will be selected to form a national team to participate in the IMO, that is, the International Mathematical Olympiad, which is a rare opportunity to win glory for the country. And as long as it can reach the CMO line, in addition to domestic universities, many internationally renowned universities have a policy of exemption from examination and full award, I hope you will seize the opportunity. The reason why I say so much is because all of you here have this potential......"

Gao Geli listened to Teacher He's gushing speech, and praised Chen Jie: "Master, our Teacher He is a master!" ”

"Oh? How so? ”

"Do you think he's just talking about the league?"

"Or else?"

You can see how many concepts he has given others at once in a few short sentences: high school math league, winter camp, provincial team, CMO, national training team, national team, IMO. What are you afraid of comparison, we originally thought that the college entrance examination was a huge hurdle, but in front of these concepts, do you feel that the college entrance examination is a fart! I don't even feel like I'm going to IMO now, it's always okay to win a pediatric college entrance examination, right? Oh my God, I'm bursting with confidence right now, I'm inflated! ”

Chen Jie smacked for a moment and then nodded, "I seem to feel the same way." ”

"That's why our math teacher is a master! said that it was to encourage everyone to participate, but in fact, it was clear that the plank road was repaired, and the secret was Chen Cang, and he unconsciously formed a strategic contempt for the college entrance examination. ”

The bell rang with the gossip of two people, and Mr. He said the last sentence after hearing the bell: "Gao Geli, who came to write the board book today, you will be the representative of the mathematics class in the future!" After class today, collect the list of students who want to sign up, and hand it over to me in the afternoon. Alright, class is over!"

In fact, Mr. He also considered Chen Jie when he designated the class representative, but in terms of personal preference, he still preferred solid students, after all, Chen Jie just moved his mouth, and Gao Geli gave a blackboard rigorous proof, so after comprehensive consideration, Mr. He still let Gao Geli serve as the representative of this mathematics class.

"Oh, got it!" Gao Geli shouted at the back of Teacher He leaving, and then performed the duties of the representative of the mathematics class, he turned his face to look at Chen Jie and asked, "How about it, do you want to sign up?" ”

Chen Jie is so busy now that he doesn't even want to do it as a representative of the Chinese class, let alone participate in any league, so he politely refused: "Although I can understand your logical board book, it is extremely difficult for me to write it...... People have the name of self-knowledge, I still don't want to lose that person, I look forward to you picking up gold on IMO~~. ”

Gao Geli saw that Chen Jie didn't want to sign up, and his interest also dropped, so he replied: "If you don't want to sign up, then I won't report either." ”

Just when the two were burying each other for fun, a pair of arms suddenly stretched out behind them and grabbed the throats of the two people, pressing Chen Jie's throat with a tingling pain.

Gao Geli's neck was also pressed uncomfortably, and he couldn't help coughing twice, and he was about to open his mouth to scold, only to find that the arm that choked his neck was wearing a red school uniform......

At this time, I heard a girl's voice behind the two: "You two are very powerful!" ”