Chapter 24 Dimensionality Reduction Strike
The third question and the fourth question, the more Wu Tong did it, the smoother he was, the pen knife was invincible.Four difficult real questions were written by Wu Tong.

The third question is mainly difficult in the amount of calculation. Every step in it must be accurate, otherwise one step will be wrong.During the problem-solving process, Wu Tong wrote more than two pages before finishing the entire proof process.

The fourth question can be said to be the main axis among the four questions. The knowledge involved already has the concept of university problems, but it needs to be solved with high school knowledge.

Wu Tong deduced step by step and finally came up with the proof. It is easy to know that... at least one of them does not take 1. Let it be..., then 1<..., so the conclusion is established. For case 2, the same principle can be proved. In summary, the above stated, the conclusion is established.

After completing the four big questions, Wu Tong checked it again. After confirming that there were no mistakes, he estimated the time. It should have taken nearly five to ten minutes. It is rare for Wu Tong to spend such a long time in high school. The topic of the Olympiad is really unusual.Such a topic is interesting to challenge!
Wu Tong paused his writing, moved his wrist, stood up slightly, and handed the paper to the podium.

"Finished? Let me see!" Duan Hong just came up from the tour, sat down on the podium, picked up the red pen, and began to correct.When he was on tour just now, he saw this kid, who was doing very well, and the progress was far ahead of others.

First question, correct!

The second question is correct!

Question [-], correct,

The last question is still correct!Duan Hong wrote down a score of 180 and was very excited. He already knew that Wu Tong was very good at mathematics, but Wu Tong still exceeded his expectations.

The training class has been going on for some time, and those who should be screened out have been screened out, and those who remain are all elite students with some talent.The test papers he handed out this time were selected real questions from the second provincial examination. The question types were classic and the knowledge points were all-inclusive. He thought these questions would be difficult for Wu Tong. After all, Wu Tong had not had much exposure to the Mathematical Olympiad before.A perfect score in mathematics does not mean that Wu Tong can do well in the Mathematical Olympiad.

Not to mention Wu Tong, even the older students in the class who had been exposed to some Mathematical Olympiad training since junior high school, and the younger students, who had only one year of training, did not expect to be able to solve all these problems. He just wanted the students to Do it as much as possible, think as divergently as possible, and prepare to focus on explanation and analysis in the training courses in the next few days.

There are a few students with good aptitude this year, and Duan Hong also expects them to come back with a provincial second and third prize.As for the first prize, it was his extravagant hope and longing pursuit.

The second test of the provincial competition usually takes two and a half hours. Many contestants may not be able to finish the test papers within the specified time, let alone hand in the papers in advance. Wu Tong finished these questions. He just checked the time and only spent 47 minutes. Minutes, and full marks, it can be said that this is the speed and quality that these teachers who have taught mathematics for most of their lives may not be able to achieve.

He has collected these questions for a long time, and the possibility of Wu Tong doing it is almost zero.Moreover, most people are dazzled by such a complicated derivation process. If they don't understand it, they may copy it wrong, let alone memorize the answer by rote.

This is... Is their school going to break through 0 and get a provincial first prize?The light in Duan Hong's eyes flickered, and the excitement in his heart was suppressed. This classmate Wu Tong once again let him see the dawn of a miracle!
"It's full marks again, student Wu Tong, have you really never been exposed to Mathematical Olympiads before? How do you feel about the difficulty of the questions?" Duan Hong asked in confirmation, suppressing his surprise.

Looking at this score, it is really hard to imagine that this is a monster score that someone who is new to the Olympiad can achieve.

"No, there may be very few questions like this in the teaching aids that I read before, and I have seen it before." "The difficulty of the topic is okay, not too difficult!"

It is not a problem for her if it does not exceed the scope of her knowledge and makes her lose her mind.

These questions are only at the point where she can think about them without being too disturbing. With the accumulation of knowledge and the exercise of brushing the questions, her brain's computing ability is gradually developed.Nowadays, many questions are relatively simple to her, and the answers can be seen at a glance.

···

Everyone in the audience was tortured by these difficult problems, and the students who couldn't figure out the north and south took a breath of cold air. Is this the real god of learning?So powerful, so terrifying!
They did it quickly, but they could only get to the second question. Many of them had not yet figured out the idea for the second question, but this master had already completed all the questions and received full marks.

There is no harm if there is no comparison. It is really maddening to compare people to people!
They shed sour tears in their hearts, and asked Xue Shen to be merciful, and stop reducing dimensionality and attacking them again!
"Tonight's task is this paper, you finish it ahead of time, do you want to go home early or stay here for self-study?"

A class of students in the front row couldn't help grinning, listen, when did the old Duan speak so softly and be so considerate?Go home early?If they don't add one more class, they will be merciful!
"Teacher Duan, are there any other questions? I want to do more questions and practice my skills!" Wu Tong went back to study, so he didn't enjoy the special and left early.She had just made something interesting, and wanted to take advantage of her enthusiasm to answer more questions.

Students want to do more questions, which is a good thing!Not to mention that he has prepared it, even if he has not, he must prepare it for the students immediately!Students who are talented and hard-working are the happiest teachers.

For students like Wu Tong, ordinary questions are meaningless to practice. Duan Hong took out a few A4 papers with densely printed questions from the teaching plan on the desk, handed them to Wu Tong and said: "This is the real question of the national competition over the years. You Do it first!"

They are all treasures that he has slowly managed to collect over the years, but he doesn’t use them often. The students of Xincheng No. [-] High School are hard to match for the first prize in the province, and they are said to be CMOs who can’t even touch them. National decision.

He usually selects some classic examples as examples to broaden the horizons of top students and competitive students.Educational resources in small counties are limited, and they, as teachers, are trying their best to help students learn more.

"Okay, thank you, Teacher Duan!"

Wu Tong took the question paper with both hands, these are good things that can't be found in ordinary places!Now is not the future, all kinds of information books are flying all over the sky, it is not easy for her to find these real questions!She returned to her seat with a smile on her face, continued to read the questions, wrote and started to calculate.

They already found it extremely difficult to solve these provincial competition questions, and looked sad. Others were very happy after taking the national competition questions. Everyone in the audience couldn't help but be distracted. They raised their heads and glanced at Wu Tong's students. They were shocked beyond measure. !
I've only heard about Wu Tong's reputation in the past two days, but I don't think it's that big yet. Being in the same environment and doing the same paper, the comparison is full of impact!

Sure enough, there are no worthless people under the fame!

Such a god-like character is so powerful that he is not human. There was no movement before, so he was too lazy to argue with them!
"Other students hurry up and do the questions. Wu Tong has already finished the test paper, and he has a perfect score. There is still more than an hour. If you don't hurry up and wait any longer, Wu Tong may finish double the amount of questions. The papers in hand You haven't finished yet, are you ready to make a fool of yourself by handing in a blank paper?" Duan Hong glared at the distracted others with hatred.

The other contestants except Wu Tong rolled their eyes inwardly, "Old Duan, that's too much!"
Such a non-human, is they comparable?
Everyone felt sad. The provincial competition was so difficult. The questions in the national competition were a few steps higher. If they were asked to do it, they probably wouldn't even be able to understand the questions!
But Xue Shen did it happily and happily. The gap between them was as big as the Himalayas!That is a height they dare not look up to!
In vain, each of them was quite proud before, proud of their achievements in the county are still good, even the city is not incomparable, but looking at it now, sure enough, the frog in the bottom of the well!
(End of this chapter)

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