NOVEL SIMPLE Xueba starts with change
Chapter 41 It's All Fur
Chapter 41 It's All Fur
Chen Zhou looked at the set of papers and a book of mathematics materials that he took out, and weighed things up and down. Let's do the papers.
The time for a paper is relatively easy to control, it will not be like brushing information books, there are too many questions, if you get immersed in it, you may not be able to wake up until the medicine is over tomorrow morning.
If this is the case, then tomorrow's class will be over!
So, Chen Zhou threw the information book, opened the paper, and prepared to start.
"Ok?"
A piece of scrap paper fell out of the information book, and Chen Zhou took it over to take a look, and then he remembered the record he left in the afternoon.
The content on this draft paper is exactly the two names he wrote in the afternoon.
Lagrangian mean value theorem.
Cauchy's mean value theorem.
Chen Zhou was very sure that he didn't know these two people, and if it wasn't necessary, he didn't really want to know these two people.
Just like he didn't want to know the talkative Confucius.
When Chen Zhou took Chinese class before, he thought about a question, why did Confucius love to talk so much?
Also, even if Confucius loved to talk, there were still people who organized his words into the Analects of Confucius.
It's fine if you tidy it up, but you have to memorize it when you go to school.
Well, and so on, and Newton, Vedic, Ohm, Coulomb, Archimedes.
Chen Zhou picked up his mobile phone, opened the input box of Baisou, entered "Lagrange's mean value theorem", and clicked Baisou.
Looking at more than 200 million related information, Chen Zhou couldn't help but feel numb in his scalp.
He didn't believe in the system, how could a hidden task just ask to understand these theorems.
You know, he persisted for 50 days on the task of getting the wrong set of questions!
Chen Zhou clicked on Baisou Encyclopedia, intending to read this person's theorem first, and then slowly figure out the intention of the system.
"Lagrange's mean value theorem, also known as Lagrange's theorem, is one of the fundamental theorems in differential calculus. The French mathematician Lagrange proposed this theorem in Chapter 1797 of his book "Theory of Analytic Functions" in 6, And a preliminary proof was done, so people named the theorem Lagrange's mean value theorem."
". The theorem states that if the function f(x) satisfies: (1) continuous on the closed interval [a, b]; (2) derivable in the open interval (a, b); then in the open interval (a, b) ) at least one point ε (a < ε < b) makes the equation f(b)-f(a)=f′(ε)(ba).”
"What is differential calculus? Is it mathematics? But this formula seems familiar."
Chen Zhou quickly read the entire Baisou Encyclopedia. He understood and remembered what Lagrange's mean value theorem is, and even felt a little familiar.
Chen Zhou glanced, saw the small paper thrown aside, and suddenly exclaimed: "Isn't this what function questions are often asked during exams?"
Chen Zhou thought of the timing and conditions for triggering the hidden task at that time, all because he longed for a simpler way to solve the function problem.
Figured out this step, he returned to the input box of Baisou and began to search for "the application of Lagrange's mean value theorem in the mathematics of the college entrance examination".
Chen Zhou clicked on a search information, which was full of theorem deduction of Lagrangian mean value theorem and application examples of practical problem solving.
Chen Zhou did not rush to read these contents, but instead focused on the opening paragraph.
The general content is that the current high school textbooks have added a lot of knowledge of derivatives, and there are many exam questions with advanced mathematics as the background in the college entrance examination questions. Thought, understanding some basic applications of Lagrange's mean value theorem in advance is very helpful for solving problems about functions and inequalities.
After reading this, Chen Zhou was thinking: "Isn't Lagrange's mean value theorem a fundamental theorem in differential calculus? Why is it in advanced mathematics again? Also, isn't this advanced mathematics you need to learn in college? "
Chen Zhou couldn't figure it out, but felt dizzy for a while: "Could it be the system messing with me again? I haven't read Cauchy's median value theorem yet. Is it so complicated?"
Chen Zhou sighed lightly, he only blamed himself for getting too high, and it was really not a human thing to do it.
If you can't sleep now, let's learn!
Chen Zhou continued to read along the article.
Under the action of the spirit potion, Chen Zhou was soon immersed in that wonderful state of learning.
Lagrange's median value theorem is not such an esoteric theorem, and it does have a very clever application to the function topic of high school mathematics.
Before he knew it, Chen Zhou memorized several commonly used techniques of the theorem.
After learning an article, Chen Zhou was a little unfinished. He felt that these were the real mathematical knowledge, and what he usually learned.
Obviously there are such simple and convenient theorems that can be used, why not teach them?
Chen Zhou brought over the small paper, found a function topic from it, and was eager to try it.
Just do it!
Chen Zhou quickly read the question again.
Prove that when x∈[1,+∞), ln(1+1/x)^x≥ln2.
The problem is not difficult, but according to the previous thinking, there is also some trouble.
So, after moving one side to the other, constructing a function, and performing derivation, Chen Zhou substituted Lagrange's median value 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.
"Fuck. This is much simpler."
After Chen Zhou read his problem-solving steps again, he realized the usefulness of this theorem.
Suddenly, Chen Zhou's eyes became hot when he looked at Lagrange's mean value theorem on his mobile 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 was in that wonderful state again!
Before you know it, the sky has turned white.
It was not until Chen Zhou's alarm clock rang that he was called back from the ocean of knowledge.
At this moment, the strength of the potion is almost over, and Chen Zhou's eyes have big bags under the eyes.
Looking at the alarm clock that kept ringing, Chen Zhou couldn't hold back and yawned big.
Wiping away the yawns and tears overflowing his eyes, he reached out and turned off the alarm clock.
In fact, Chen Zhou didn't feel tired, and his face was even filled with satisfaction and joy.
The more he studied Lagrange's mean value theorem, the more he was impressed by the breadth and depth of mathematics.
It turns out that advanced mathematics is just to take care of the textbooks and books of most college students. Lagrange's median theorem is only a little bit of knowledge in advanced mathematics, and it is just a drop of water in the huge differential calculus.
But differential calculus is just a branch of broad mathematics.
"fur."
Chen Zhouming realized that what he has learned now is nothing more than fur.
No, even the advanced mathematics that is taught in college is just superficial.
Went to wash his face, packed up his books, and then Chen Zhou went out.
In Maochang High School, it is better not to ask for leave casually.
Even now, he is already sleepy.
However, just in case, Chen Zhou poured another can of psychotropic medicine into the thermos cup.
In the afternoon, I will be the first to test the water, please ask for favorites and recommended tickets, thank you ^o^
(End of this chapter)
Chen Zhou looked at the set of papers and a book of mathematics materials that he took out, and weighed things up and down. Let's do the papers.
The time for a paper is relatively easy to control, it will not be like brushing information books, there are too many questions, if you get immersed in it, you may not be able to wake up until the medicine is over tomorrow morning.
If this is the case, then tomorrow's class will be over!
So, Chen Zhou threw the information book, opened the paper, and prepared to start.
"Ok?"
A piece of scrap paper fell out of the information book, and Chen Zhou took it over to take a look, and then he remembered the record he left in the afternoon.
The content on this draft paper is exactly the two names he wrote in the afternoon.
Lagrangian mean value theorem.
Cauchy's mean value theorem.
Chen Zhou was very sure that he didn't know these two people, and if it wasn't necessary, he didn't really want to know these two people.
Just like he didn't want to know the talkative Confucius.
When Chen Zhou took Chinese class before, he thought about a question, why did Confucius love to talk so much?
Also, even if Confucius loved to talk, there were still people who organized his words into the Analects of Confucius.
It's fine if you tidy it up, but you have to memorize it when you go to school.
Well, and so on, and Newton, Vedic, Ohm, Coulomb, Archimedes.
Chen Zhou picked up his mobile phone, opened the input box of Baisou, entered "Lagrange's mean value theorem", and clicked Baisou.
Looking at more than 200 million related information, Chen Zhou couldn't help but feel numb in his scalp.
He didn't believe in the system, how could a hidden task just ask to understand these theorems.
You know, he persisted for 50 days on the task of getting the wrong set of questions!
Chen Zhou clicked on Baisou Encyclopedia, intending to read this person's theorem first, and then slowly figure out the intention of the system.
"Lagrange's mean value theorem, also known as Lagrange's theorem, is one of the fundamental theorems in differential calculus. The French mathematician Lagrange proposed this theorem in Chapter 1797 of his book "Theory of Analytic Functions" in 6, And a preliminary proof was done, so people named the theorem Lagrange's mean value theorem."
". The theorem states that if the function f(x) satisfies: (1) continuous on the closed interval [a, b]; (2) derivable in the open interval (a, b); then in the open interval (a, b) ) at least one point ε (a < ε < b) makes the equation f(b)-f(a)=f′(ε)(ba).”
"What is differential calculus? Is it mathematics? But this formula seems familiar."
Chen Zhou quickly read the entire Baisou Encyclopedia. He understood and remembered what Lagrange's mean value theorem is, and even felt a little familiar.
Chen Zhou glanced, saw the small paper thrown aside, and suddenly exclaimed: "Isn't this what function questions are often asked during exams?"
Chen Zhou thought of the timing and conditions for triggering the hidden task at that time, all because he longed for a simpler way to solve the function problem.
Figured out this step, he returned to the input box of Baisou and began to search for "the application of Lagrange's mean value theorem in the mathematics of the college entrance examination".
Chen Zhou clicked on a search information, which was full of theorem deduction of Lagrangian mean value theorem and application examples of practical problem solving.
Chen Zhou did not rush to read these contents, but instead focused on the opening paragraph.
The general content is that the current high school textbooks have added a lot of knowledge of derivatives, and there are many exam questions with advanced mathematics as the background in the college entrance examination questions. Thought, understanding some basic applications of Lagrange's mean value theorem in advance is very helpful for solving problems about functions and inequalities.
After reading this, Chen Zhou was thinking: "Isn't Lagrange's mean value theorem a fundamental theorem in differential calculus? Why is it in advanced mathematics again? Also, isn't this advanced mathematics you need to learn in college? "
Chen Zhou couldn't figure it out, but felt dizzy for a while: "Could it be the system messing with me again? I haven't read Cauchy's median value theorem yet. Is it so complicated?"
Chen Zhou sighed lightly, he only blamed himself for getting too high, and it was really not a human thing to do it.
If you can't sleep now, let's learn!
Chen Zhou continued to read along the article.
Under the action of the spirit potion, Chen Zhou was soon immersed in that wonderful state of learning.
Lagrange's median value theorem is not such an esoteric theorem, and it does have a very clever application to the function topic of high school mathematics.
Before he knew it, Chen Zhou memorized several commonly used techniques of the theorem.
After learning an article, Chen Zhou was a little unfinished. He felt that these were the real mathematical knowledge, and what he usually learned.
Obviously there are such simple and convenient theorems that can be used, why not teach them?
Chen Zhou brought over the small paper, found a function topic from it, and was eager to try it.
Just do it!
Chen Zhou quickly read the question again.
Prove that when x∈[1,+∞), ln(1+1/x)^x≥ln2.
The problem is not difficult, but according to the previous thinking, there is also some trouble.
So, after moving one side to the other, constructing a function, and performing derivation, Chen Zhou substituted Lagrange's median value 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.
"Fuck. This is much simpler."
After Chen Zhou read his problem-solving steps again, he realized the usefulness of this theorem.
Suddenly, Chen Zhou's eyes became hot when he looked at Lagrange's mean value theorem on his mobile 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 was in that wonderful state again!
Before you know it, the sky has turned white.
It was not until Chen Zhou's alarm clock rang that he was called back from the ocean of knowledge.
At this moment, the strength of the potion is almost over, and Chen Zhou's eyes have big bags under the eyes.
Looking at the alarm clock that kept ringing, Chen Zhou couldn't hold back and yawned big.
Wiping away the yawns and tears overflowing his eyes, he reached out and turned off the alarm clock.
In fact, Chen Zhou didn't feel tired, and his face was even filled with satisfaction and joy.
The more he studied Lagrange's mean value theorem, the more he was impressed by the breadth and depth of mathematics.
It turns out that advanced mathematics is just to take care of the textbooks and books of most college students. Lagrange's median theorem is only a little bit of knowledge in advanced mathematics, and it is just a drop of water in the huge differential calculus.
But differential calculus is just a branch of broad mathematics.
"fur."
Chen Zhouming realized that what he has learned now is nothing more than fur.
No, even the advanced mathematics that is taught in college is just superficial.
Went to wash his face, packed up his books, and then Chen Zhou went out.
In Maochang High School, it is better not to ask for leave casually.
Even now, he is already sleepy.
However, just in case, Chen Zhou poured another can of psychotropic medicine into the thermos cup.
In the afternoon, I will be the first to test the water, please ask for favorites and recommended tickets, thank you ^o^
(End of this chapter)
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