Chapter 29 On the Application of the Lagrangian Multiplier Method in High School Mathematics

As the class leader, Zhu Peiqi is still quite prestigious in the class, and everyone instantly understood what she meant, this is the class leader leading everyone to make extra money!

Zhu Peiqi explained the reason to Feng Han, "If you don't object, then that's it, if you do it, we will give you 100 yuan each, if you can't do it, or if you make it, it's obviously wrong, then you give us 100 yuan each, no opinion, right?"

Feng Han counted, there were eight people in total, and he was a little disappointed, "That's how many of them came to your class?"

"Why, it's too little, and a few more will come later, so you can burn high incense!" Wang Donkey snorted.

Well, people really shouldn't be too greedy, this is 800, plus the previous manuscript fee of 1200, my income today has reached 2000 dragon banknotes!

"Deal!" Feng Han asked again, "What does that question look like, let me see it!"

"Hmph, I don't even know what the question looks like, it's weird to be able to do it!" Li Li Yin and Yang said strangely, but he really took out a piece of paper from his pocket, and the title was written on it: f(x)= (upper and lower structure, and root number, you can't write it, imagine it yourself, in short, it's difficult).

Question: (1) When a=8, find the monotonic interval of f(x). (2) For any positive number a, prove that 1

The first question is actually okay, they can barely make it because of their self-proclaimed scholars, the real difficulty is the second question, Li Li grabbed all the hair thinning, and he didn't solve it, so he quietly brought this question over, and wanted to ask other students, but I didn't expect everyone to make it, and the mood was just better, but I met Feng Han, who pretended to be an X criminal.

As soon as Feng Han got the question, before he could say anything, the groom in the big red robe came over, he directly put his hand on Feng Han's shoulder, and asked with a smile, "What are you playing?"

Feng Han blinked, "Haha, a little bet." ”

At this time, Xiong Di had already seen that problem, what kind of painting style was this, and these people were actually discussing math problems with Feng Han? He was just about to say something, when the alert Zhu Peiqi suddenly asked, "Xiong Di, did you lend him your homework to copy?"

"This ......" Xiong Di was embarrassed, combined with Feng Han's words and Zhu Peiqi's tone, he had already understood the situation, he was naturally biased towards his brother, but he didn't want to lie.

Feng Han told him, "Just tell the truth." ”

"Well, my homework is with him. Xiong Di said truthfully.

Everyone else was stunned, and the donkey-faced kingdom road bore the brunt, "Hehe, it's shameless, copy other people's homework!"

"You're cheating!" Li Li shouted.

"Being able to copy is also a kind of strength, if I make it today, will everyone present not copy it?" Feng Han said that they were speechless, "So, are you classmates in the bamboo class planning to break the contract?"

When Xiong Di saw Feng Han's appearance, he knew that he was very confident, so he said to a few students who were hesitant, "You guys, don't be frightened by him, I only gave him four sets of homework yesterday, how can he copy it so fast, and the solution to that problem is very complicated, it took me and Xiaolu half a day to solve it, and I wrote a whole page, even if he really copied it, I'm afraid he can't remember it." ”

It's rare for Xiong Di to say so many things today, and the bamboo class students led by Zhu Peiqi nodded one after another, which makes sense!

Zhu Peiqi said on behalf of everyone, "Are we that kind of people, it's still as we said before, Xiong Di, you look at it, if he makes a mistake, you can't help him correct or hide it!"

"Yes, yes, let him write!"

"I don't believe he can write!"

"I really thought I was a genius of memory!"

"That is, if he had such a good memory, he wouldn't be at the end of the crane every time!"

These kids really don't know anything about power!

They were right, Feng Han really couldn't remember the question, but what if he couldn't remember it, anyway, Xiong Di's original answer was still in his library!

A few people went to Xiong Di's study, after the paper and pen were complete, Feng Han did it, at the same time as he started, Zhu Peiqi got his calculation process from Xiong Di, she passed the manuscript paper to everyone to see, they felt that they were more sure to win, this deduction process is too complicated, people with average brain power are afraid that they can't remember it, and even they suspect that Xiong Di and Lu Haoge alone can't be copied at this time!

Looking at the complicated deduction and proof process, Zhu Peiqi smiled proudly, "I thank you in advance~"

Several students in the bamboo class were even more smiling, feeling that someone had come out with today's money!

Feng Hanyun's pen is like the wind, brushing and brushing on the manuscript paper to write the inference process, although he has already copied it, but he didn't read this question carefully before, he didn't care at all, and then look at it at this time, hey, this question, it seems that it can be easily made with the Lagrange multiplier method!

The Lagrangian multiplier method is the knowledge of higher mathematics in college, and is a method of finding the extreme values of multivariate functions where a variable is limited by one or more conditions.

This method transforms an optimization problem with n variables and k constraints into an extreme problem with a system of equations with n + k variables, the variables of which are not constrained in any way.

It introduces a new type of scalar unknown, the Lagrange multiplier: the coefficient of each vector in a linear combination of gradients that constrain the equation. (β€”β€”The above is from the encyclopedia)

Although Feng Han has graduated for many years, he can't remember all the knowledge points in high school, and he still has a little impression of college, but he is not so familiar with it, but it is not difficult to find a full set of high mathematics in the first picture.

As the inference got closer and closer to the result, the faces of Zhu Peiqi and the others became more and more ugly, how could it be possible, why did there not pause at all!

When Feng Han put away his pen, Zhu Peiqi, Wang Guolu, Li Li, etc. were all dumbfounded, as if they really wrote it correctly!

Not only them, but even Xiong Di was a little impressed with his brother, although it was not the same as the one on the scratch paper, but it was exactly the same as what was written in his homework book, every step was rigorous and accurate, not bad at all!

Xiong Di has the most say in the result, "It's no problem at all, you lost." ”

Feng Han looked at Zhu Peiqi with a smile, "Take the money~One hundred per person~"

Although Zhu Peiqi took the lead in paying the money, she was very depressed in her heart, it was too embarrassing, she wanted to give him an ugly look, but a few of them became fools!

It doesn't matter if she is embarrassed by herself, but she is the president of class 3, which represents the dignity of the bamboo class, if it spreads, how will she lead the class collective in the future!

Therefore, although everyone's money was taken out, Zhu Peiqi did not hand it to Feng Han, she was ready to make a few words of mouth cannon to save her image as a squad leader.

"Feng Han, you remember, the money can be given to you, but this doesn't mean how powerful you are, it's Xiong Di and Lu Haoge, it's Xiong Lu from our bamboo class who made this question, you're just picking up people's teeth and wisdom!

"That's right!"

"Yes!"

"Well said the squad leader!"

A group of little minions stood behind Zhu Peiqi to cheer for the squad leader.

It seems that this money is really not easy to take, Feng Han smiled slightly, "Oh, that's it, then, Da Xiong, how many ways do you make this question?"

"One kind," said Big Bear, "just this one killed me and the fawn I don't know how many brain cells!"

Feng Han took out a piece of manuscript paper, "I'm sorry, I had a whim, and I found a new method, you can take a look~"