Like This, Like This, Understand? (Seeking Support)
The boy raised his hand and said,"Can you say it again?" Speak slower, I don't quite understand.”
Chen Fan looked at the boy who came first in the exam with a puzzled look and said,""You scored 40 points, right? Logically speaking, your algorithm should be able to deduce the score for this question.”
" No, I used the method of drawing and listing to verify it. It's just that the data is too big. Mine can only get a portion of the score. It's just a trick. Yours is really verifying it. It's different.”
This child was really studious.
Huang Youwei looked at Chairman Zhou, who was affiliated with Peking University, with doting eyes.
This child was the one who was meant to learn mathematics. He always had the heart of an apprentice.
If they didn't understand what Chen Fan was saying, the rest of the people couldn't understand it either. In their eyes, what Chen Fan said was just a fantasy.
Then a triangle can be formed, so 1b=(,(1)1,()afffa=()()ffaa= for any positive integral number
So it's a afZZ → one-to-one map. (3) Given ()2,(),(2) 1fbfbb . It can form a triangle. As discussed above, let, because it is a one-to-one map,(2)1f(2) 10ff =.f0()() fbtbb . Therefore, for any b, we can know by mathematical induction ()() fbtbb .= ()() fbntfmn =() for any positive number,
Chen Fan emphasized again.
"The existence of the map is to solve the meaning of the triangle. You all know the mathematical induction method, right? You all know this, right?”
Everyone nodded subconsciously.
"If you all understand it, then won't this question be out? Look here, here, first like this, then like this, and then, it comes out. The argument points are completely consistent, so it's not very difficult. This is a proof question. How can you give marks for a proof question? Without a final answer, the proof questions were usually treated as zero points.”
He vomited blood.
Old Cao was a little helpless. The main thing was that he had revised the paper. The second question was indeed too difficult. Old Cao had originally thought that this was the first year of mathematics and that there would be some talents. Who would have thought that this group of children would be so weak?
Actually, Old Cao couldn't be blamed. Nowadays, everyone was aiming for the college entrance examination, entering a famous school, and finding a good job. Old Cao hoped for the kind of math genius who would die in math for the sake of counting students.
But who would study academics for no reason now?
Rich? Or a future? A lifetime of academics?
It was normal for everyone's mathematics standards to drop because of the college entrance examination.
Chairman Zhou nodded and said," You're right. I didn't expect that my paper would give me such a high score either. A proof question is wrong. If I didn't write it out, there's no need to get this score. But I still want to know the answer now.”
Cheers.
Chen Fan had a lazy personality. If you kept asking him, he would get angry.
"Are you stupid? Why was he so stupid? I've already written it out, and you still can't understand it? Map, the meaning of map, the core of point and surface. If you read books carefully and study them again, you wouldn't even understand. How did you go to school and learn mathematics? I don't care. Anyway, I wrote it this way. If you don't understand, then forget it. It's up to you whether you believe it or not.”
Chen Fan was about to leave when Old Cao stopped him and said,""Don't worry, it's normal that you don't understand. You're using the Raftotus proof method.”
"What Ralph? Who is that person?"
"You haven't seen it?"
"I don't even know who you're talking about. I just wrote it out subconsciously. Is this question difficult?”
Old Cao clapped his hands and said," Alright, go back and sit down. There's actually another algorithm for this question. I'll write one for you."”
After saying that, Old Cao began to write.
This time, everyone understood. They slowly expanded from the limit, guided, and then wrote examples. They deduced according to the examples and gradually obtained the final result.
This was a form of proof.
But Chen Fan looked at the blackboard and sighed silently.
She clenched her fists tightly.
His obsessive-compulsive disorder was acting up. This old man's proof was not complete, but it was indeed possible at this stage.
However, when the value reached a certain area, then this theory no longer existed.
Deviation would occur.
Huang Youwei looked at Chen Fan's uncomfortable expression and thought of the formula he had written wrongly for Chen Fan. Chen Fan's expression was serious as he looked at the blackboard and noticed that something was wrong.
But where?
"Wait a minute, Old Cao."
Old Cao stopped and Huang Youwei patted Chen Fan's shoulder and said,""What do you have to say?"
Everyone looked at Chen Fan, waiting for his answer.
"I have nothing to say," said Chen Fan.”
"Are you sure? Are you sure you want to write the proof of this mistake on the blackboard?”
What the f * ck.
This old man was a devil.
" 77.56," Chen Fan said." That's not good."”
Old Cao brought it in, then slowly calculated and looked at the final deviation value.
This…this really didn't seem to work.
Chen Fan, how did you find out?"
"There's nothing much to discover. Just calculate. You said to use the listing method to prove it, but you get the next step after writing three. This is usually correct, but not this question. This question has no value range. If you label it as a positive integral, then it's fine, but it's not a positive integral.”
Damn it, there was indeed a problem.
All the numbers were positive, and everyone naturally knew which one was bigger.
In other words, Chen Fan's proof might be the most standard answer, but the answer to this question was the answer to an international Mathematical Olympiad question from 50 years ago.
Could it be that no one had discovered it after so many years?
F * ck, this was a huge mistake.
"Then Chen Fan, how do you think we should solve this problem?”
"You just need to mark the value with a positive number and write down the two conditions. You left out one. At that time, I thought that the question was wrong, but after thinking about it, it shouldn't be wrong for such a big exam, right?”
Someone whispered something into Old Cao's ear, and Old Cao lowered his head in shame.
He was indeed wrong. He had written something less.
But you've already proved it? Are you a demon?
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