103. Get up close and personal with the master
The opening ceremony was nothing special, it was actually the boring speech of the project leader, who talked about the arrangements for this winter camp.
Li Xuan was very relaxed and listened casually, and he knew the key information. The arrangements for this winter camp were to have classes in the morning, lectures in the afternoon, and exams in the evening.
Then the teaching team that gave lectures in the morning were lecturers from Hong Kong Chinese University, Peking University, Shenzhen University and Zhongshan University, many of whom had experience in winning imo gold medals. The class content was divided into four major topics: algebra special topics, combination mathematics special topics, geometry special topics, and number theory special topics. It just corresponds to the major questions in the second exam of the league.
In addition, you will also go to college knowledge, especially the parts that are helpful to the competition: linear algebra, algebra combinatorialism, analysis and topology.
After the opening ceremony.
A group of students went to the classroom and immediately started taking geometry classes. Why didn’t others know that Li Xuan had to listen hard in class to barely keep up with his thoughts.
The lecturer is a young man and a PhD in mathematics from Xiang Chinese University.
On the podium, the lecturer spoke very fast, systematically explained the context of plane geometry, and completely mentioned the basic knowledge of the four theorems. He thought that the simple part was not explained. At his speed, the university calculus textbook was taught to him, and it could be almost finished in one morning, which was very exaggerated.
Only these top students from well-known schools in the country can keep up with such abnormal speed. Despite this, most of the students below struggle to listen, and many things cannot be understood immediately, and they can't keep up with the rhythm if they are distracted.
The lecturer said very seriously: "Students, it is very convenient to use this technique on this question. This question is known to be xxx. Extending these lines will be easy to prove..."
Simple and proof are confusing.
It is easy to get you to stop.
Prove that I have no choice but to ask you to heaven.
Li Xuan suspected that many classmates pretended to understand. After all, in front of so many experts, would you be embarrassed to say that you don’t understand?
The parallel goods that came in through relationships were hammered.
After a while, Li Xuan felt tired, gritted his teeth, turned on the curiosity buff, and entered a state of extremely focused attention.
In order to learn more, I worked hard.
In an instant, it seemed that the world slowed down. The ppt played on the big screen and the formula pictures on the blackboard seemed to be changing in my mind, and the memories hidden deep in my mind were recalled.
"Very good, that's how it feels."
Li Xuan felt happiness like a sponge immersed in water, absorbing nutrients from different sources.
After class, the classroom was quiet and a little depressing.
Zhou Lele walked out of the classroom with a confused look on his face: "Where am I, what am I doing?"
Cao Song didn't want to stay, so he walked out of the classroom to get some breath, and had a headache: "I'm so dizzy. The teacher finished the skills of plane geometry in one class. I've practiced the most before, and I can still understand it. I'll probably die after the combination. The one I'm the best in my life is the combination."
Li Xuan didn't leave the classroom, but was still in the seat, calculating with a brush, and felt a sense of endless aftertaste.
The lecturer was very fast and finished his knowledge of plane geometry and his main skills in the morning, but under the god-level buff, Li Xuan perfectly digested it.
He found that this was the best speed for him.
At noon, Li Xuan was having lunch, his eyes were empty and he was still thinking about the classic geometric questions he told in the teacher's class.
He thought about the knowledge and skills of plane geometry he had learned in his mind. He realized the essence of many theorems, and could think of them with his eyes closed. The previous questions could directly introduce many new solutions, as if the plane geometry was strung together.
Regarding plane geometry, he used to be just one step away, but now he seems to have completely integrated it. It turns out that this situation not only exists in martial arts, but also occurs in learning.
This feeling is really comfortable.
Ouyang Zhe was still having a meal, and when he looked at Li Xuan's eyes being hollowed out, he asked in surprise: "Li Xuan, are you okay?"
"fine."
Li Xuan smiled and shook his head, hurriedly finished the meal, went back to the classroom to pick up the tutoring materials sent by the organizer, and read them over and over again.
In his eyes, the circles and lines on the paper are no longer stationary, but seem to move. One geometric element moves to drive other geometric elements to change and establishes a connection with each other.
European plane geometry was established through axiomatic methods.
The five simplest communes prove that the sum of the inner angles of the triangle is equal to 180 degrees, and then proves the Merelauss' theorem, which eventually evolved into the most complex conclusion. Li Xuan saw all the intrinsic logic and the external rigorous structure.
This marks the complete success of Li Xuan's learning of the geometric part of the plane.
Li Xuan picked up his pen, wrote down his solution beside the example question, and chuckled: "There is actually a simpler solution to this question."
As the saying goes, a big move is achieved. As long as you grasp the most essential thing, you can save a lot of unnecessary steps. The formulas are superficial, and the internal connection is essential.
Now he can say loudly that his plane geometry is very strong.
The afternoon is a lecture by well-known scholars.
Li Xuan walked into the lecture hall and found that the lecturer of the first lecture was Professor Qiu Chengtong.
After entering the venue, Zhou Lele shouted excitedly: "Qiu Chengtong!"
The other students immediately looked at Zhou Lele, and Li Xuan immediately said with a funny look: "You are awesome, you dare to call yourself by your real name and still so loud, are you afraid that the professor will not hear it?"
Zhou Lele quickly covered her mouth, which was very awkward.
Li Xuan was in the front row. When he walked to the position, he happened to see Professor Qiu chatting with someone in the audience.
Shing-Tong Yau is a Chinese American and the winner of the Fields Medal, the highest honor in the mathematics community. He used geometric analysis to solve the Karabi conjecture and solved many mathematical problems of the positive quality conjecture. This played an important role in the "theory of all things" string theory in theoretical physics and laid the foundation for his extraordinary influence around the world.
Simply put, this is the most famous Chinese mathematician in the mathematics world and the strongest boss, who is even greater than Tao Xuan's achievements.
There is a Mathematics Research Center of Qiu Chengtong, which is the No. 1 Mathematics Center in Asia. Professor Qiu will help young Chinese mathematicians to go to the international stage. Every year he will give lectures in various universities in China.
Soon, Professor Qiu walked onto the podium, smiled, and after the applause stopped, he began to talk about the beauty of mathematics.
Li Xuan sat in the front row and listened to the master's successful experiences up close.
Professor Qiu has an ordinary appearance, a little dark complexion, and is not standard in Mandarin, but he has a halo on his body.
If you have any gains, you can't say that you have gained anything. You are not calm, admiring people who have reached the top of mathematics, and unrealistic ideas about wanting to surpass them.
At night, there will be more than 100 people taking the exam.
The number of test questions is not large, and there are four major questions, each with 30 points and the exam time is three hours, but the difficulty is very high. Each one has to be thought about for a long time. Even if these top students are not able to do one, it is possible to have a duck egg.
Li Xuan walked to the assigned examination room and picked up the test paper to do it. He found that the four questions on the first day were very difficult and novel, and they were all types of questions that he had never seen before.
Of course, it is beneficial to do difficult questions in this way, which can be a good way to train yourself to think. Doing too many simple questions will not have this effect.
At the beginning of the exam, Li Xuan picked up his pen and started to solve the problem.
First of all, the geometry question is the finale question, and the difficulty is definitely not low, but Li Xuan still chose to look at the geometry question first.
"I have it." After looking at it for a while, he found that it was not difficult. He thought of the center and killed the finale in a few steps.
Of course, it is simple for Li Xuan, but it is perverted and difficult for most other students.
Then Li Xuan spent an hour thinking about the numbering topic.
When Li Xuan saw that he had no clue and didn't touch the combination questions, he started to do algebra questions and finally calculated two and a half major questions.
Chapter completed!