City: Signing in starts with getting mind reading skills

Chapter 13 I have a showdown

Zhou Xiaoyu glanced at Professor Chang. He was confident that he did nothing wrong with the eighth question, but with Professor Chang around, he didn't need to refute.

Professor Chang said with a smile: "The eighth question is a bit interesting, so I won't say the correct answer. Li Xinran, you are the first to say that you choose B. Let's analyze it."

"is teacher."

Li Xinran stood up excitedly: "The eighth question is very simple. According to the setting of the question: ∫(0—0)=a, ∫(0+0)=b, you only need to deduce that a=b to judge ∫(x) It is continuous everywhere, so as to choose the correct answer B. Choosing C can only be said to be a misunderstanding, and the principle is not understood in essence, heh... I don’t know how the previous question was correct.”

Everyone heard that there was a gun in his words, and they all thought that he had made a small mistake, you screamed and jumped, as for taking pleasure in other people's misfortunes?

Professor Chang frowned and glanced at Li Xinran, didn't say anything, let Li Xinran sit down, and asked a few more students, the answers were similar to Li Xinran's.

Professor Chang shook his head slightly: "Zhou Xiaoyu, tell me."

Zhou Xiaoyu said: "Other students have overlooked a possibility, that is, what to do when a is equal to b and equal to 1? Because the question does not give specific judgment conditions, there will be two possibilities. One is when a is equal to b but not equal to 1 , and the other is when a is equal to b and equal to 1, there are two options, so it is wrong to choose B, and you can only choose C.”

Hearing this, those students who chose B suddenly realized.

"So there is a trap in this question!"

"Why didn't I think of that?"

……

Professor Chang smiled: "That's very good. Just like what some students said just now, the eighth question is a trap. If you don't carefully examine the questions, you will easily be confused. In fact, everyone should have a feeling when doing the questions. Why is the eighth question so difficult? The question is so simple, does it not match the difficulty of other questions? If you encounter similar situations in the future, you should be vigilant."

The crowd nodded.

Professor Chang said: "Of course, the reason why I fell into a trap is that I still didn't understand the principle, so I misunderstood it."

When everyone heard this, they looked at Li Xinran with subtle eyes.

This is exactly what Li Xinran said just now, and now Professor Chang repeats it, there is no deep meaning.

Li Xinran's face was flushed, she lowered her head and dared not lift it up.

Professor Chang gave Zhou Xiaoyu a look you know.

Zhou Xiaoyu didn't expect that such a strict person as Professor Chang would stand up for him, and he was very happy: "Thank you, teacher."

Professor Chang smiled slightly: "You're welcome, you can also explain the rest of the questions."

"it is good."

Zhou Xiaoyu continued to explain.

"Choose D for the ninth question, the analysis process is as follows..."

"Choose B for the tenth question, the analysis process is as follows..."

"No.11 Question C..."

When he said this, everyone was taken aback.

Professor Chang interrupted Zhou Xiaoyu: "Wait a minute, there are only ten homework exercises. Where did the No.11 question come from?"

"is it?"

Zhou Xiaoyu lowered his head and flipped through the textbook: "Sorry, teacher, I misunderstood. This is not the content of linear equations, but the after-school exercises of the indefinite integral content. I thought they were together, so I did them all."

Professor Chang was surprised: "I haven't talked about the indefinite integral yet, how did you make it?"

Zhou Xiaoyu scratched his head. What he just read was all the advanced mathematics knowledge in Professor Chang's memory, including indefinite integrals. He didn't expect to be ahead of his time.

"I read the textbook in advance and thought that the indefinite integral part was quite simple, so I did the after-school exercises."

Zhou Xiaoyu casually found an explanation.

Pretty simple?

The corners of everyone's mouths twitched.

Ruwen, do people say it?

When they were still struggling to learn what Professor Chang had already taught, Zhou Xiaoyu had already studied the following courses by himself, and was able to do homework independently!

Li Xinran's face was ashen.

He was still consoling himself just now, Zhou Xiaoyu may only be good at the part of linear equations, other things may not be as good as him, when he heard this sentence suddenly, he suffered a critical blow of [-] points in an instant.

"I see."

Professor Chang was both surprised and delighted: "Zhou Xiaoyu, you are excellent."

Zhou Xiaoyu smiled reservedly.

He doesn't study hard at all, he just has something to do with it. After receiving such a compliment, he feels... so happy in his heart for a moment!

Zhou Xiaoyu couldn't help but think of a stalk in an online novel: My XX can achieve what I am today, all thanks to my own hard work...Deep blue, add some points!

Professor Chang asked with great interest: "How much have you taught yourself about the indefinite integral?"

Zhou Xiaoyu said: "I just looked at some concepts and properties, as well as integration with substitution, integration by parts, integration of rational functions, use of integral tables, basic formulas of calculus, etc."

Professor Chang said with a half-smile: "Your point includes the whole content of indefinite integral, student Zhou Xiaoyu, are you in Versailles?"

Zhou Xiaoyu said: "Teacher, I just said it in passing."

After he copied Professor Chang's memory, these things came out of his mouth naturally, feeling very ordinary and nothing special.

How did it become Versailles?

Professor Chang said: "You didn't just study indefinite integrals by yourself, because the basic formula of calculus you mentioned at the end belongs to the later content of definite integrals. How much have you taught yourself?"

Ok……

Zhou Xiaoyu stopped pretending, and said to the showdown: "I have learned everything."

There was a moment of silence in the classroom, and then it exploded.

"Fuck, it's too awesome!"

"Just now I thought that Zhou Xiaoyu was just improving in his studies, but now I realize that it was just the tip of the iceberg revealed by others, and I completely knelt down!"

"Don't say anything, Master Xueba, please accept my knee."

……

The crowd was amazed.

The students who are outstanding in their studies feel quite ashamed. Fortunately, they treated Zhou Xiaoyu as an opponent before, but now it seems that they are not at the same level as Zhou Xiaoyu.

Li Xinran was completely confused.

God, earth, why is this!

Professor Chang's expression became serious: "Let me ask you, in Cauchy's median value theorem, if the function ∫(x), g(x) is continuous on the closed interval [a, b], and in the open interval [a, b] Derivable, how to prove that the 5th power of equation 4x—4x+1 has at least one real root between 0 and 1?”

What?

Everyone was stunned, they didn't understand what Professor Chang said at all.

Zhou Xiaoyu knew that Professor Chang was wondering if he had really learned it, so he replied: "This equation is actually ∫(x) = 5th power of x - 2rd power of 3x + derivative of x, because on [0, 1] Continuous, derivable at (0, 1), according to Rolle’s theorem, at least one point c between 0 and 1 satisfies the condition, that is, a real root.”

Professor Chang nodded and continued to ask, speaking faster and faster.

Zhou Xiaoyu answered fluently.

……

Everyone listened blankly, even the best student, at this moment, is like listening to a book from heaven.