Wu Tong's proficiency improved with each passing question, and he conquered every challenge with his pen. He mastered four challenging exam questions.
The third problem was primarily difficult due to the amount of calculations required. Every step required precision, otherwise, a single mistake would lead to multiple errors. Wu Tong wrote over two pages to complete the proof.
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 it be ··, then 1<··, so the conclusion holds. For situation 2, the same logic can be used to prove it. In summary, the conclusion holds.
After finishing the four major questions, Wu Tong double-checked them, confirming they were correct. He estimated the time, which must have taken him nearly fifty minutes. It was rare for Wu Tong to spend so much time on a question in high school. Mathematical Olympiads were truly extraordinary. Questions like these 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 his rounds, sat down at the podium, picked up his red pen, and began to correct the papers. When he was doing his rounds just now, he saw that this child was doing very well and his progress was far ahead of others.
Question 1, correct!
Question 2, correct!
Question 3, correct.
The last question, and he got it right! Duan Hong wrote down a huge 180, feeling incredibly excited. He already knew Wu Tong was good at math, but Wu Tong still exceeded his expectations.
The training class had been running for a while, and those who needed to be screened out had already been screened out. The remaining students were all talented elites. The exam he handed out this time was a selection of real questions from the second provincial competition. The question types were classic and the knowledge points were comprehensive. He thought these questions would be difficult for Wu Tong, after all, Wu Tong had little exposure to Olympiad mathematics before. A perfect score in math didn't mean Wu Tong would do well in the Olympiad.
Not to mention Wu Tong, even the older students in the class who had received some Olympiad training since junior high school, and some who had only received a 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 think as divergently as possible. He planned to focus on explanation and analysis in the training courses in the next few days.
This year, several students had good qualifications, and Duan Hong was hoping they would win second or third place in the provincial competition. As for first place, that was his only hope, a longed-for 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 paper within the specified time, let alone hand it in early. 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 before was almost zero. Furthermore, such a complex derivation process would be dizzying for most people. Without understanding, even copying them would likely be wrong, let alone memorizing the answers.
Is this... is their school going to break the zero record and win a provincial first prize? Duan Hong's eyes gleamed, and he suppressed his excitement. This classmate Wu Tong had once again given him hope for a miracle!
"Another full score, Wu Tong, have you really never been exposed to Olympiad mathematics before? How do you think the difficulty of the questions is?" 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 might be a few such questions in the supplementary textbooks I've used before, so I've seen them before." This is the first time I've actually participated in and solved Mathematical Olympiad problems. "The difficulty level is okay, not too difficult!"
As long as it was not beyond her knowledge and left her with no idea, it was not a difficult problem for her.
These questions were just enough for her to ponder, but not too much to bother her. As she accumulated knowledge and practiced with more questions, her brain's computing power gradually developed. Now, many questions seemed relatively simple to her, and she could basically see the answer at a glance.
Oh···
The students in the audience gasped in shock at the torment of these difficult questions, their minds trembling. Is this the true academic god? Such powerful strength, so terrifying!
Those who finished quickly among them only got to the second question, and many of them had not yet figured out the idea behind 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 test. If you finish it early, do you want to go home early or stay here to study?"
The students in the front row couldn't help but grin. Listen, when did Mr. Duan's tone become so gentle and considerate? Going home early? He was being lenient with them by not giving them an extra class!
"Teacher Duan, are there any more questions? I want to do more to practice!" Wu Tong went back to study, so she left early without enjoying the special treatment. She had just finished a little fun and wanted to take advantage of the momentum to do more questions.
It's a good thing if students want to do more exercises! Don't worry, even if you haven't prepared, you should prepare them immediately! Teachers are most delighted by students who are both talented and hardworking.
Ordinary questions were pointless for a student like Wu Tong. Duan Hong pulled out a few A4 sheets of paper printed with densely packed questions from the lesson plan on the desk and handed them to Wu Tong, saying, "These are real questions from previous national competitions. Try doing them first!"
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