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Chapter 37 National High School Mathematical Olympiad
Comet Takishima: Considering that the group leader will hold a Mathematical Olympiad soon.So I think the group owner can learn the mathematical theorems of functions first!

Sheldon: That's right, Mathematical Olympiad often has questions about functions.

Comet Takishima: Then learn the inverse function theorem first!In mathematics, the inverse function theorem gives a sufficient condition for a vector-valued function to have an inverse in an open region containing a point in the domain.The theorem also shows that the total derivative of the inverse function exists, and gives a formula.The inverse function theorem can be generalized to maps defined on manifolds, and to maps defined on infinite-dimensional Banach spaces (and Banach manifolds).Roughly speaking, a C1 function F is invertible at point p if its Jacobian matrix JF(p) is invertible...

Xiao Jun: Typing is too troublesome, let's use group voice!
Sheldon: Good!
Xueba chat group also has the function of video call and voice call.

Using group voice is more convenient for teaching.It's like teaching online.

In the next few days, Xiao Jun was crazily fed with all kinds of esoteric knowledge of mathematics by Takishima Comet and Sheldon.Fortunately, he possessed the ability of photographic memory, and did not cause dizziness.

Whether you can understand it or not, whether you can understand it or not.Keep it in your mind first and then talk!
When I have time later, I will organize it slowly.

Three days passed quickly.

Although Xiao Jun didn't understand a lot of esoteric mathematical theorems and so on in the past few days, he also learned a lot.This kind of knowledge cannot be learned in high school classrooms.

After all, these esoteric things were taught by these two top scholars, and its esoteric level and diversity must not be available in high school classrooms.

Although he didn't understand a lot of knowledge, Comet Takishima and Hilton poured a lot of mathematical knowledge into his brain.He didn't understand these things thoroughly, but kept them firmly in his mind.

"It will come in handy in the future, now take advantage of the time to learn more." Xiao Jun thought to himself.

The next day, under the leadership of Chen Jianyong, Xiao Jun and Yang Qianqian came to Jiangcheng City, the capital of Jiangbei Province.

Xiao Jun and Yang Qianqian will gather here with six other people from other high schools for a few days of emergency Olympiad knowledge training.Because in a few days, I will go to Tianhai City to participate in the National High School Mathematics Olympiad!

The venue for the National High School Mathematical Olympiad this time is Tianhai No. [-] High School!

The high school is also one of the top 20 high schools in the country.

In the car, Chen Jianyong said to Xiao Jun and Yang Qianqian: "I heard that this time, our Jiangbei Province has a total of 6 places to participate in the National Mathematical Olympiad!"

Yang Qianqian asked softly, "Is it the top three in the last provincial math competition?"

"Yes! It's our Wucheng No. 6 Middle School, the two of you, the two from Jiangbei High School, and the two from Jiangbei University Affiliated High School! Now the six of you can also be called the Jiangbei Province Mathematical Olympiad Provincial Team. You represent our Jiangbei Province to participate in the national competition. Olympiad competition!" Chen Jianyong explained.

"Of course, although the 6 of you are called the provincial team. But the National Mathematical Olympiad will not be a team competition, but an individual competition. Everyone has a test paper, and whoever does well in the test will win the award. Of course , if all 6 of you win awards, then when all the provincial teams in the country are ranked, it will be highlighted that our Jiangbei provincial team ranks high!"

"I see!" Xiao Jun nodded.

"This National Mathematics Olympiad will last for 5 days. The first day is the opening ceremony, the second and third days are exams, the fourth day is academic reports or visits, and the fifth day is the closing ceremony, where the test results and awards are announced."

"The National Mathematical Olympiad Examination is completely simulated by the International Mathematical Olympiad. There are 3 questions per day, and the completion is limited to four and a half hours. Each question is worth 21 points (three times the test questions of the International Mathematical Olympiad, in line with the Chinese people's score recognition habits), 3 The full score for each question is 6 points. Set up first, second and third prizes!"

"The top 60 players with the highest scores will form the Huaxia Training Team for this year's International Mathematical Olympiad." Chen Jianyong said slowly.

"Teacher, do you mean that as long as we rank in the top 60 in this National Mathematical Olympiad Competition, we can enter the National Mathematical Olympiad Team for training and selection?" Yang Qianqian said.

"Yes, but even if you can enter the top 60, don't think that you can enter the National Mathematical Olympiad Team. Because there are only six people who can really participate in the International Mathematical Olympiad! After the selection, only 60 people will be selected to participate in the International Mathematical Olympiad Competition. These 6 people are the real members of the National Mathematical Olympiad Team!" Chen Jianyong said in a deep voice.

"That's it! It's cruel." Xiao Jun smacked his lips.

"Also, let me tell you a good news, that is, if you can win the prize in the International Mathematical Olympiad, then the winners can all win the prizes of Beijing University, Qinghua University, Fudan University, Nanjing University, Huaxia University of Science and Technology, Zhejiang University, Shanghai University, etc. The admission qualifications of national first-class prestigious universities such as Jiaotong University."

"Oh~ that's good!" Yang Qianqian didn't show much excitement after hearing this.After all, it is hard to say whether he can enter the top [-] in the National Mathematical Olympiad.Not to mention participating in the International Mathematical Olympiad.

In the afternoon, Xiao Jun and others arrived at the High School Affiliated to Jiangbei University.

This three-day training camp is held here.Set off for Tianhai City on the fourth day!The fifth day is the opening ceremony of the National Mathematical Olympiad.

After coming here, Xiao Jun met with members of the other two schools.

Among them, there are two people from Jiangbei High School, a man and a woman. The man's name is Wu Junhua, and the woman's name is Zhou Xiaoyu.A girl was able to participate in the National Mathematical Olympiad.It is indeed rare.Generally speaking, the field of mathematics is generally the world of boys.Girls are inherently disadvantaged.

Even if Yang Qianqian hadn't been taken by Xiao Jun to fly, she wouldn't be eligible to participate in the National Mathematical Olympiad!

The other two students from the High School Attached to Jiangbei University are Wang Qiang and Chen Feixiang.

Then there will be three days of emergency training.

Those who can get the top three in the last provincial mathematics competition are basically of a good level.

Therefore, the teachers in the training will no longer talk about basic questions, but will choose some difficult and miscellaneous knowledge about Mathematical Olympiad to explain, and at the same time, they will also choose some national Mathematical Olympiad question types for them to practice.

Three days passed in such intense training.

On the morning of the fourth day, everyone followed the leaders of the provincial team and began to take the bullet train to Tianhai City.

The drive is more than two hours, which is not very far!
When they arrived at the station, there was a special bus waiting, and then they came to Tianhai No. [-] High School together.

After a long journey, eat and rest.A day passed without knowing it.

(End of this chapter)