Xueba's life simulator

Chapter 25 People Can't Be Generalized
"Are you capable? If my grades don't improve in the next monthly exam, I guess even if I don't send you away, my dad will still have to send you away." After the two chatted for a long time about something unrelated to study, Shi Menglin also initially let go of his guard against Zhou Ming, and asked with some worry.

"Why, you don't believe in my strength? Didn't your dad tell you before that I tutored a family's child last year, and his child's final exam scores improved by leaps and bounds, even their head teacher was surprised. Don't worry , Whether it’s math or English, I can bring it up for you, even if it’s Chinese, I can help.” Zhou Ming patted his chest confidently and said.

"It's not that I don't believe you, it's just that your school is not good enough. The few female tutors my dad hired before were at worst from Jinling Normal School and Jinling Polytechnic. I still don't like them like this! Generally, they are Jinling University and Dongda University, and only such 985 can catch my eyes in China. Otherwise, it is an old teacher with many years of experience." Shi Menglin explained the reason for his worry.

"Actually, I am confident. I am afraid that you will not listen to me and refuse to learn. Your father told me before that you had good grades in the first and second grades of high school. You should have learned the knowledge required for the college entrance examination in the first and second grades of high school. I've learned it all.

How did you fail in your third year of high school? "Zhou Ming was a little cautious when he asked the last sentence. When he asked, he had been paying attention to Shi Menglin's expression, because he knew that Shi Menglin's decline in high school grades was related to her parents' divorce.

If it comes to her pain points and starts to make troubles and torture herself, Zhou Ming will not be able to do the work for 300 yuan an hour.

"Hmph, he didn't tell you why my grades dropped, did he?" Shi Menglin snorted coldly and continued, "That's because of him..."

Speaking of this, Shi Menglin glanced at the door of the study room, and finally did not say the following words.

"Forget it, I don't want to talk to you now. However, since you said that you are very confident, I have a few questions. Please help me to see them. Don't think that you can tell me something that interests me. I will convince you." With that said, Shi Menglin began to flip through her schoolbag on the desk.

Soon, Shi Menglin found a set of math exercises, English papers and a set of Chinese papers.

Shi Menglin first flipped through the math problem set for a while, and then took out a black pen to draw something on the book, so he handed the set of problem sets to Zhou Ming, and said to him: "You do these math problems. look."

After handing the math paper to Zhou Ming, Shi Menglin looked at the English paper again, and also drew on the English paper with a pen.

After that, she used the same method to draw a few times on the Chinese scroll.

Seeing Shi Menglin's behavior, how could Zhou Ming not know what she was thinking.

"Good guy, this little girl is preparing to test herself!" Zhou Ming's heart was clear.

However, for the 600 yuan, Zhou Ming didn't care about these little things, and he just happened to show his strength to the little girl.

After taking the math test paper from Shi Menglin, he just glanced at the math problems drawn by Shi Menglin, and he already had an idea in his mind.

"It is known that the function f0(x)=sinx/x(x>0), let fn(x) be the derivative of f(n-1)(x), n∈N*.

（1）求2f1(∏/2)+（∏/2）f2(∏/2)的值；(2）证明:对任意的 n ∈N*，等式lnf(n-1)(∏/4)+(∏/4)f(∏/4)l＝√2/2都成立。”

This was the first question Shi Menglin circled.

"This question mainly examines the derivative of a simple composite function, and it also depends on your ability to explore and reason and demonstrate using mathematical induction." Zhou Ming began to tell Shi Menglin what this question mainly examines, " How about this, it doesn't help if I give you the answer directly, you first talk about your views on this question.

What I mean is, first tell me what you think about this question. Do you have some ideas, but are you stuck somewhere, or do you have no ideas at all? "

"I don't have any ideas at all, you should just tell me your answer and the disintegration process." Shi Menglin said.

"Didn't your dad say before that your grades were pretty good in your freshman and sophomore years of high school? The first question of this question directly asks you to find out f1(∏/2) and f2(∏/2), right? Have you done it? The last step is addition in elementary school. Are you sure you really read the questions carefully?"

"Ah? Is that so?"

"In this way, step by step, first find f1(x), will it?"

"I'll take a look."

After finishing speaking, Shi Menglin took back this set of math problem sets from Zhou Ming, and began to read the problems again.

"Yes, f1(x) is the derivative of f0(x). The question gives the function of f0(x). You can directly derive the function of f1(x)." After a while, Shi Menglin spoke.

"That's right, similarly, after f1(x) is obtained, you can use the same method to obtain f2(x), and then bring in ∏/2. In this way, the first question is calculated." Zhou Ming After finishing speaking, Shi Menglin was ready to start writing.

"Wait a minute, after I finish the second question, you can do these two small questions together. Just like before, you read the second question again first, and then see if you are a little stuck in your thinking I still have no idea."

After Zhou Ming finished speaking, Shi Menglin stopped writing, but read the title and the second question again.

"I have a little idea about this question, but I don't know if it's right."

"Well, it's good to have an idea. Tell me what you think."

"For this question, I should first use the information in the question stem to find an equation containing f(n-1)(x) and fn(x), but I don't know how to write it later."

"Your idea is indeed good, but do you still remember what I told you at the beginning? This topic also needs to test your ability to reason and demonstrate using mathematical induction. But you didn't think about it at all. It seems that you just now You didn’t take what I said to heart at all.”

Afterwards, Zhou Ming began to explain to Shi Menglin the way of thinking and the way of solving the problem.

After a few questions in mathematics, there are English and Chinese.

English is even more trivial to Zhou Ming. He didn’t know how many English literary theories he had read in the simulated world last time. Not to mention high school English, even English for postgraduate entrance examinations, CET-[-] English, Zhou Ming can easily get a high score in the exam .

As for high school Chinese, after all, Zhou Ming has so many years of knowledge, so it didn't bother him.

Afterwards, Zhou Ming conducted a simple survey of Shi Menglin's mathematics, and asked her about the results of the last exam and the places where she found it difficult to learn, so as to have a preliminary understanding of her learning situation, so as to prepare for her later tutoring work. some plans.

The two hours were over quickly. Through these two hours, Zhou Ming found that Shi Menglin was a very smart girl, at least much smarter than when he was in high school.

Zhou Ming only needs to explain many math problems once, and she can completely digest them, and she can draw inferences when encountering similar problems.

At least Zhou Ming did not have this ability. When he was in high school, there were always similar questions in the wrong book. He had to go through a lot of training to get familiar with those question types and gradually reduce the number of questions in the wrong book. of.

Like Shi Menglin, after a detailed explanation, he can draw inferences.

To be honest, after seeing Shi Menglin's learning talent, Zhou Ming was a little envious. Although he didn't meet many people, he had only seen this kind of person.

Even the top student in their class, Zhou Ming's current girlfriend Shen Qingqiu, is not so smart.

Zhou Ming felt that Shen Qingqiu's IQ must be higher than his own, but her college entrance examination scores were mainly obtained through hard work.

As for Zhou Ming's roommate Liu Xiao, as well as his cousins ​​Zhou Rui and Zhou Xueqin, they were far worse than Shi Menglin, probably on the same level as Zhou Ming.

　Thanks to Diaoxing for the 100 starting coins

　　
　
(End of this chapter)