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Chapter 41

Chen Zhou looked at the set of papers and a math material book he took out, and weighed it, and it would be better to do the papers.

The time for a paper is easy to control. It is not like brushing a material book. There are too many questions. If you immerse yourself in it, you will probably have to wait until the medicine is over tomorrow morning.

If this is true, tomorrow's class will be over!

So Chen Zhou threw the information book, opened the paper, and prepared to start working.

"Um?"

A piece of draft paper fell out of the information book. Chen Zhou took it over and looked at it, and then remembered the records he left in the afternoon.

The content on this draft paper was exactly the two names he wrote in the afternoon.

Lagrangian median value theorem.

Cauchy's median value theorem.

Chen Zhou was very sure that he didn't know these two people, and he didn't want to know these two people unless it was necessary.

Just like he doesn't want to know Confucius who loves to talk.

Chen Zhou used to think of a question when he was in Chinese class: Why did Confucius love to talk?

Also, it’s okay if Confucius likes to talk, but someone has sorted out his words into the Analects of Confucius.

It's fine if you sort it out, but you still have to memorize it when you are in school...

Well, there are Newton, Veda, Ohm, Coulomb, Archimedes...

Chen Zhou picked up his mobile phone, opened the Baisou input box, entered the "Lagrangian median value theorem", and click Baisou.

Looking at the information about more than 2 million, Chen Zhou couldn't help but feel numb.

He doesn't believe in the system's words, how could a hidden task just require understanding of these theorems?

You know, he persisted for 50 days after getting the task of getting the wrong question set!

Chen Zhou clicked Baisou Encyclopedia and planned to look at this person's theorem first, and then slowly understand the system's intentions.

"The Lagrangian median theorem, also known as the Lagrangian theorem, is one of the basic theorems in differential science. French mathematician Lagrangian proposed this theorem in Chapter 6 of his book "Analytical Function Theory" in 1797.

, and preliminary proof was made, so people named the theorem the Lagrangian median theorem..."

"...theorem statement that if the function f(x) satisfies: (1) is continuous in the closed interval [a,b]; (2) is derivable within the open interval (a,b); then in the open interval (a,b);

There is at least a little ε(a<ε<b) in ,b) so that the equation f(b)-f(a)=f′(ε)(b-a) holds..."

"What is differential science? Is it mathematics? But this formula seems familiar..."

Chen Zhou quickly finished reading the entire Baisou Encyclopedia. He understood and remembered it, and even felt a little familiar.

Chen Zhou glanced at the small paper thrown aside and exclaimed: "Isn't this a common question for function questions during exams?"

Chen Zhou thought of the timing and conditions for triggering hidden tasks at that time because he longed for a simpler way to solve function problems.

After thinking through this step, he returned to the input box of Baisou and began to search for "The application of Lagrangian median value theorem in college entrance examination mathematics".

Chen Zhou clicked on a search information, which contained examples of the theorem inferences of the Lagrangian median theorem and practical application of the problem-solving.

Chen Zhou did not rush to read these contents, but instead focused on the beginning passage.

The general content is that the current high school textbooks have added a lot of derivative knowledge, and many test questions in the college entrance examination questions are based on advanced mathematics. If you use the ideas of advanced mathematics appropriately and use the basics of constructors.

Thoughts, understanding some basic applications of Lagrangian median theorem in advance is of great help in solving problems such as functions and inequality.

After reading these, Chen Zhou was thinking: "Isn't the Lagrangian median theorem theorem the basic theorem in differential science? Why is it from advanced mathematics again? Also, isn't this advanced mathematics necessary to be learned only in college?



Chen Zhou couldn't figure it out, and felt a little overwhelmed: "Can't it be the system that messed me again, right? There is also a Cauchy median theorem that didn't read. Is it that complicated?"

Chen Zhou sighed lightly, only blamed himself for being too excited. He was really not something that humans did.

Now that I can’t sleep, then learn!

Chen Zhou continued to read along with this article.

Under the influence of psychotropic agents, Chen Zhou quickly immersed in that wonderful learning state again.

The Lagrangian median theorem is not very profound, and it does have a clever application of function problems in high school mathematics.

Before he knew it, Chen Zhou remembered several common techniques of this theorem.

After learning an article, Chen Zhou was still a little impressed. He felt that these are the real mathematical knowledge, what are you learning usually?

There is clearly such a concise and convenient theorem that can be used, why not teach it?

Chen Zhou took the small paper and found a function question from it. He was ready to try it out.

Do it if you want!

Chen Zhou quickly read this question.

Test when x∈[1,∞), ln(11/x)^x≥ln2.

The question is not difficult, but according to the previous ideas, there is also a lot of trouble.

So, after moving one side to the other, constructing the function, and deriving it, Chen Zhou substituted it into the Lagrangian median theorem for calculation.

It can be directly obtained that f(x) increases monotonically on x∈[1,∞), so f(x)≥f(1), that is, the above inequality holds.

"Damn...this is much simpler..."

After reading his own problem-solving steps again, Chen Zhou realized the usefulness of this theorem.

Suddenly, Chen Zhou's eyes became hot when he looked at the Lagrangian median theorem on his phone.

Pressing the phone quickly, Chen Zhou kept switching between the search box and the search content.

In the immersion mode, Chen Zhou drove the highest learning efficiency and absorbed the essence of Lagrangian.

He fell into that wonderful state again!

Before I knew it, the sky was covered with white fish.

It was not until Chen Zhou's alarm clock rang that he called back from the ocean of knowledge.

At this moment, the potion was almost overwhelmed, and Chen Zhou's eyes were already covered with big bags.

After looking at the alarm clock that kept ringing, Chen Zhou couldn't help but yawn.

He wiped away the yawning tears that had overflowed his eyes and then reached out to turn off the alarm clock.

In fact, Chen Zhou didn't feel tired. He even had satisfaction and joy on his face.

The more he studied the Lagrangian median theorem, the more he felt the profoundness of mathematics.

It turns out that advanced mathematics is just to take care of the textbooks and books of most college students. The Lagrangian median theorem is just a little bit of knowledge in advanced mathematics, and it is just a drop of water in the huge differential science.

However, differential science is just a branch of the vast mathematics.

"fur..."

Chen Zhou realized that what he learned now is just the basics.

No, even the advanced mathematics that colleges need to learn is superficial.

After washing his face and packing the books, Chen Zhou went out.

In Maochang High School, it is better not to take leave casually.

Even now, he is already sleepy.
Chapter completed!
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