Chapter 23 Topic
Chapter 23 Topic
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There are many students in the mathematics competition class who are very good at solving problems by themselves, but they can't explain them clearly to others, because their minds jump a lot and their thinking itself jumps out.
Both Qi Sibai and Jiang Yusheng speak well. They will analyze the question first, start with the overall idea of solving the question, and divide the whole process into roughly several steps. Explain which proofs or calculations to perform at each step.
After the two finished talking about their respective methods, half of the class was still in a daze.
Chen □ thought it was normal, waved the two people off the stage, went up and explained it in detail again.This lecture took up the rest time between the two consecutive classes.
After everyone finished copying the notes in their seats, this number theory problem came to an end, and it was the turn of the third graph theory problem.
Although there are a few people in the class who do it pretty well, the knowledge points involved in this question are still relatively new to everyone.Mr. Chen didn't ask any more people for this question. He spent most of the class sorting out a few theorems needed to understand the question, and then asked everyone to go back and study the proof in the book.
In the end, with half a class left, Mr. Chen picked up the paper with his chalk-stained fingers and glanced at the records on it, and said, "God Xun, why don't you come up and talk about your geometric proof?"
Under the podium, Mu Yangcheng angrily touched Qi Sibai with his arm: "Why doesn't Mr. Chen let you speak? Xun Mingjie didn't solve that question."
Qi Sibai was working on other questions, so he didn't care too much, and answered lazily: "It's very tiring to go up and talk about every question."
This is a bit too much.Mu Yangcheng choked, and changed the subject: "It's okay to let Jiang Shen go up."
Qi Sibai drew two extra bends with his pen tip, "Aren't you tired, Jiangshen?"
After saying this, he suddenly felt that the figure who had been sitting in front of him concentrating on brushing up the questions... seemed to move.As soon as he looked up, he saw Jiang Yusheng looking back, and then turned back without emotion.
"..." Qi Sibai silently raised his hand to cover his mouth.
His tone just now is a bit familiar.
Xun Mingjie seemed to have prepared the papers long ago, and now he walked to the blackboard in two or three steps: "Teacher, I have sorted out the proof process of the whole question later, then I..."
Mr. Chen smiled and said, "Then let's talk about the whole problem...don't worry, I won't be able to finish geometry today, and I have to take up the main class next Monday to talk about it."
Xun Mingjie followed Mr. Chen's drawing on the blackboard before class, and talked while writing. His train of thought was fairly clear. Occasionally, he stumbled a few times, and Mr. Chen discussed with him, and he straightened it out.
The lengthy proof was finally sorted out, and it was only 5 minutes before get out of class was over.
Just as Xun Mingjie was about to return to his seat, Mr. Chen put down the paper and pointed to a line on the blackboard: "Do you remember how to prove this Sawayama theorem?"
Xun Mingjie thought back for a moment, "It's been too long since I watched the proof process, I forgot, I just focus on using it..."
Old Chen reminded: "Actually, that step can be proved only by Pascal's theorem. Do you remember how Pascal proved it?"
Xun Mingjie had met before, but now he was suddenly interrupted by Mr. Chen, his mind went blank, so he shook his head shyly.
It was normal to ask out of nowhere, Chen Laohe let Xun Mingjie go back to his seat, and said: "This time everyone uses Pascal's theorem in the geometry problem, and I didn't deduct points. But in the regular exam, except Menelaus For the extremely common theorems such as Si and Seva, it is best to prove the others before using them.”
In the classroom, everyone agreed extremely perfunctorily.
It’s okay to put it in other exams. This time the geometry problem is difficult, and the people who wrote it can be counted on one hand. Where did the “everyone” come from?
Old Chen paused, seeing that there was still time, he raised his chin towards Qi Sibai: "Pascal's theorem, can you prove it?"
Qi Sibai nodded, and got up to go to the blackboard.
Chen Lao suddenly changed his mind and stopped him: "The get out of class will be over in less than 2 minutes, can't you finish the lecture? Why don't you write the process on paper and post it in the group."
Qi Sibai raised his eyebrows, "No need, it will be over in a minute."
Old Chen glanced at him with a smile or not.Everyone in the class couldn't tell whether it was because the class was about to end, or because of Qi Sibai's familiar and arrogant words, they were faintly agitated. Mu Yangcheng even laughed twice because of the interaction between Mr. Chen and Qi Sibai.
Jiang Yusheng was turning over the pages of the book to brush up questions, but now he stopped his movements, raised his head, and his eyes fell on the tall and arrogant back.
Qi Sibai drew an extremely scribbled picture on the side of the blackboard, and then, the chalk was drawn on the sliding blackboard, making a bang bang sound due to the force.
One line of consecutive equations, two simple phased conclusions.
With a snap, the chalk was placed in the slot on the blackboard, Qi Sibai turned his head and curled his lips at Mr. Chen, "The proof is over."
The get out of class bell seems to be pinched, and it flows out from the speaker in the upper right corner of the classroom crisply and melodiously.
Chen Lao said in the ring: "...ah?"
In the classroom, everyone was discussing in low voices.
"Area method?"
"It's not the area method. This equation is a bit like a seva...but it's not."
"Is it the special form that Mr. Chen mentioned before?"
When the ringing ended, Qi Sibai leisurely patted the chalk dust on his hands, and walked back.
Jiang Yusheng casually explained to Chen Lao: "Using Jiaoyuan Seva's inverse theorem to prove the common point."
Qi Sibai paused, and when he passed by Jiang Yuesheng's side, his movements of patting the ashes restrained a little.
Mr. Chen was still figuring out which letters in the equation corresponded to the corners in Qi Sibai's dog-gnawed picture. Hearing that, his gesturing speed was much faster, and soon he finally let out an "oh", I see.
The high-intensity non-stop morning class was finally over, and everyone chatted relaxedly, walking out of 307 one after another.
Although Mu Yangcheng noticed that there was something weird between Qi Sibai and Jiang Yusheng this morning, he thought that the few times before, Qi Sibai and Jiang Yusheng were fighting against each other while eating together in harmony. .
So this time, he didn't even ask Qi Sibai, and patted Jiang Yuesheng's shoulder diagonally in front of him, "Jiang Shen, let's go to the cafeteria at noon?"
Qi Sibai looked at Mu Yangcheng in surprise, and hurriedly tugged down the hem of his clothes.
Mu Yangcheng turned his head and looked: "?"
Qi Sibai turned his face sideways, and hastily mouthed to Mu Yangcheng: "No more."
Mu Yangcheng didn't hear the voice, and didn't understand it, so he let out a loud "ah?"
Qi Sibai: "..."
Jiang Yusheng put away his schoolbag, and the strap of the schoolbag straddled his right shoulder.He turned sideways, his eyes paused on Mu Yangcheng's enthusiastic eyes, and then he looked at Qi Sibai, as if asking for his opinion.
As soon as Qi Sibai and Jiang Yuesheng looked at each other with quiet and deep eyes, they swallowed all the willful and unreasonable words that came out of their mouths.
However, he only hesitated for a moment, and Jiang Yusheng's eyes seemed to have penetrated all the little thoughts in his heart.
Qi Sibai was stunned for a moment, and Jiang Yuesheng slightly bent his mouth towards Mu Yangcheng, and said, "No, go and eat."
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The author has something to say:
感谢在2022-01-3021:00:00~2022-02-0620:58:51期间为我投出霸王票或灌溉营养液的小天使哦~
Thanks to the little angel who threw the grenade: 1 Pleiades North;
Thanks to the little angel who threw the landmine: the indifferent flower-spreading machine, Lin Shi'an. 1;
感谢灌溉营养液的小天使:宿椋15瓶;阿生10瓶;精灵耳朵灿5瓶;时予4瓶;沈释。辍⒛笱┤1瓶;
Thank you very much for your support, I will continue to work hard!
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