Chapter 24 Dimensionality Reduction Attack
The third and fourth questions became more and more comfortable for Wu Tong, and he was able to overcome all obstacles with his pen. Wu Tong mastered four difficult questions.
The difficulty of the third question lies in the amount of calculation, and each step must be accurate, otherwise all steps will be wrong. Wu Tong wrote more than two pages to complete the proof process.
The fourth question can be said to be the core of these four questions. The knowledge points involved already have the concept of university-level difficult questions, but they need to be solved using high school knowledge.
Wu Tong deduced step by step and finally came up with a proof. It is easy to know that at least one of ··· is not 1. Let ··, then 1<··, so the conclusion holds. For situation 2, the same logic can be used to prove that, in summary, the conclusion holds.
After finishing the four big questions, Wu Tong checked them again. After confirming that they were correct, he estimated the time. It should have taken nearly 50 minutes. It was rare in the current high school stage that Wu Tong could spend so much time on the questions. Mathematical Olympiad was indeed extraordinary. Such questions were quite interesting to challenge!
Wu Tong paused, stretched his wrist, stood up gently, and handed the paper to the podium.
"Done? Let me see!" Duan Honggang came up from the inspection, sat down on the podium, picked up a red pen, and began to correct the papers. When he was inspecting just now, he saw that this child was doing very well and his progress was far ahead of others.
The first question, correct!
Question 2, correct!
Question 3, correct.
The last question was correct! Duan Hong wrote down a big 180 points, and he was very excited. He already knew that Wu Tong was good at math, but Wu Tong still exceeded his expectations.
The training class had been going on for a while, and those who should have been screened out had already been screened out. Those who remained were all elite students with some talent. The test papers he handed out this time were selected from the real questions of the second provincial competition. The question types were classic and the knowledge points were all-encompassing. He thought these questions would be difficult for Wu Tong, after all, Wu Tong had not been exposed to Olympiad mathematics before. A full score in mathematics does not mean that Wu Tong can do well in Olympiad mathematics.
Not to mention Wu Tong, even those students in the class who have received certain Olympiad training since junior high school, and some who have received only one year of training, he did not expect to be able to solve all these problems. He just wanted the students to do as much as possible and expand their thinking as much as possible. He planned to focus on explanation and analysis in the training courses in the next few days.
This year, there were several students with good qualifications, and Duan Hong was expecting them to win the second or third prize in the province. As for the first prize, that was his extravagant hope, his longing pursuit.
The second test of the provincial competition usually lasts two and a half hours. Many contestants may not be able to finish the test within the specified time, let alone hand in the paper in advance. But Wu Tong finished these questions. He just checked the time and it only took him 47 minutes, and he got full marks. It can be said that this is a speed and quality that even teachers like them who have taught mathematics for most of their lives may not be able to achieve.
He had been collecting these questions for a long time, and the possibility that Wu Tong had done them was almost zero. Moreover, such a complicated derivation process would dazzle most people. Without understanding, they might even copy them incorrectly, not to mention memorizing the answers by rote.
Is this... Is their school going to break the record of 0 and win the first prize in the province? Duan Hong's eyes flickered, and he suppressed his excitement. This classmate Wu Tong once again made him see the dawn of miracles!
"Another full score, Wu Tong, have you really never been exposed to Olympiad mathematics before? How difficult do you think the questions are?" Duan Hong suppressed his surprise and asked for confirmation.
Looking at this score, it is really hard to imagine that this is a monstrous score that can be achieved by someone who is participating in the Olympiad for the first time.
"No, there may be a few such questions in the supplementary textbooks I used to do, so I have seen them before." This is the first time I have participated in the Mathematical Olympiad and done Mathematical Olympiad questions. "The difficulty of the questions is OK, not too difficult!"
As long as it was beyond her knowledge and left her with no idea what to do, it was not a difficult problem for her.
These questions were just enough for her to ponder, but not too troubling. With the accumulation of knowledge and the practice of solving questions, her brain's computing ability was gradually developed. Now, many questions seem relatively simple to her, and she can basically see the answer at a glance.
Oh···
The students in the audience were tortured by these difficult questions and gasped. Is this the real god of study? His strength is so strong and terrifying!
Among them, those who finished quickly only got to the second question, and many of them had not yet figured out the idea of the second question. However, this great man had already finished all the questions and got full marks.
There is no harm without comparison. Comparing yourself with others will really make you angry!
They shed bitter tears in their hearts and begged the God of Learning to show mercy and not to attack them again!
"Tonight's assignment is this paper. If you finish it ahead of time, do you want to go home early or stay here to study?"
The students in the front row couldn't help grinning. Listen, when did Lao Duan speak so gently and considerately? Going home early? Lao Duan was showing mercy to them by not giving them an extra class!
"Teacher Duan, are there any other questions? I want to do more questions to practice!" Wu Tong went back to study, so she left early without enjoying the special treatment. She had just done something interesting, and wanted to do more questions while she was still in high spirits.
It’s a good thing that students want to do more exercises! Don’t worry if they have prepared for the exercises. Even if they haven’t, you should prepare for them immediately! Teachers are happiest when they have talented and hardworking students.
Ordinary questions are meaningless for students like Wu Tong. Duan Hong took out a few A4 papers with dense questions printed on them from the teaching plan on the desk and handed them to Wu Tong, saying, "These are the real questions from the national competitions over the years. Try them first!"
These were all treasures that he had managed to collect slowly over the years, but he had seldom used them. The students from Xincheng No. 1 High School could not even win the provincial first prize, let alone the CMO national finals which were said to be out of his reach.
He usually picks some classic examples to broaden the horizons of top students and competition students. Educational resources in small towns are limited, and teachers like them also try their best to help students gain more knowledge.
"Okay, thank you Teacher Duan!"
Wu Tong took the test paper with both hands. These were good things that could not be found in ordinary places! This was not the future, and all kinds of reference books were flying everywhere. It was 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, and began to deduce and calculate.
They found these provincial competition questions as difficult as climbing to the sky and were frowning, while others were delighted after getting the national competition questions. The audience couldn't help but be distracted and looked up at Wu Tong's students. They were shocked beyond words!
I've only heard of Wu Tong's reputation these past two days, and I didn't feel it was particularly big. Only when we are in the same environment and taking the same test, the comparison is really impactful!
Sure enough, there is no false reputation!
Such a genius student is so powerful that he is not even a human being. He didn't make any move before because he was too lazy to put in the effort to fight with them!
"Other students, hurry up and do your questions. Wu Tong has already finished the test paper and got full marks. There is still more than an hour left. If you don't hurry up and wait any longer, Wu Tong may have finished the double amount of questions, and you haven't finished the papers in hand yet. Are you planning to hand in a blank paper and make a fool of yourself?" Duan Hong glared at the others who were distracted.
Except for Wu Tong, the other contestants rolled their eyes in their hearts and said, Old Duan, that's too much!
Can they compare with such non-human beings?
Everyone was feeling depressed. The provincial competition was already so difficult, so wouldn't the national competition be several levels more difficult? If they were asked to do it, they probably wouldn't even understand the questions!
The God of Learning, on the other hand, was doing it happily. The gap between them was as huge as the Himalayas! That was a height they dared not look up to!
It was a pity that they were all so proud before, proud that their grades were good in the county and even comparable to those in the city. But looking at it now, they are really frogs in the well!
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