On the first day of the New Year, Chen Zhou spent it in this efficient question.

There are 4 cans and a half cans left.

On the second day of the New Year, Chen Zhou needed to go to the grandfather's house to worship the New Year.

However, after receiving the red envelope, after lunch, and then chatting with Grandpa for a while, Chen Zhou went home first.

Simply packed some messy desks. Chen Zhou thought about it. It seems that these two days did not need to go out.

Well, this is the most suitable time.

Chen Zhou drank all the remaining half of the psychotaxics.

Then he began to search for more knowledge of the Mid -value theorem of Laglan, and prepared to figure out the ins and outs of this theorem.

Let's start with the method of proof.

"The method of auxiliary functions can prove Ragland's median theorem:

It is known that f (x) is continuous on the closed interval [a, b], and can be directed in the open range (A, B);

Then, the constructor g (x) = f (x) -f (a)-[f (b) -f (a)] (x-a)/(b-a);

You can get it, g (a) = g (b);

And because G (x) is continuous on [a, B], in the opening interval (A, B), it can be directed;

Therefore, according to the Rore's median theorem, there must be a little ε∈ (a, b), so that g '(ε) = 0;

From this, g'(ε) = f '(ε))-[f (b) -f (a)]/(b-a) = 0;

F (b) -f (a) = f (ε) (b-a);

The theorem is finished. ""

This process is very simple. Chen Zhou understands it, but why does it construct such a auxiliary function, and what is the Morrower theorem of the Rore, but he is confused.

Chen Zhou thought about it, and immediately searched the relevant concepts of the Rore's theorem.

"The Rore's median theorem is an important theorem in the micro -science. It is one of the three major differential and median theorem.

"It turns out that this guy also belongs to micro -division ..."

Chen Zhou continued to look at the description of the Rore's median theorem and the proof process.

This, the more you look at the bigger, Chen Zhou found that he didn't understand anything, and he couldn't. Seeing a new theorem or reasoning is a brand new knowledge.

Sure enough, the 12 -year basic education is a true foundation ...

Chen Zhou raised a desire, and he strongly wanted to understand these theorem.

His curiosity was opened, and he was no longer blindly studying for the college entrance examination.

At this time, Chen Zhou felt that this hidden task seemed to have become interesting.

He not only pays attention to the Mid -value theorem and the Merradestelling theorem of Koisi mentioned by the mission.

He began to start with a branch that caused him to have great interest in the measomeore theorem. Starting from the Rore's median theorem.

The proof process, geometric significance, and several special circumstances, all of them have been understood.

Regarding the Ferma theorem mentioned in it, there are theorem of the limit. Those who can't understand them first put them in it first, only looking at the Middle value theorem of the Rore.

The afternoon was definitely not enough. After the dinner was resolved, Chen Zhou began to add obsession.

In order not to break this knowledge of knowledge, Chen Zhou took out a new can of psychotoxic agent and drank it.

Like this, only the most suitable time before school, he dares to do so.

This is not to play. Xiu Xian needs the correct posture, the right time, the right place.

I have to say that with the assistance of psychotoxic agents, he will from the Ragland mid -value theorem from the Raier medium theorem that is already familiar with the mission of the mission one night.

Then to the Taylor formula that has not been heard, Dabu theorem, and Luobida, he actually brushed all over.

Some of them are understood, learned, some are mixed with a half -knowledge and half -understand, no matter how bad, mix a face.

Chen Zhou finally understood why the hidden task was picked out of Lagron's median theorem and the Meridity theorem of the Koisi.

Not only because they are more widely used in the college entrance examination, but more importantly, Lagran's median theorem is the core of the differential and medium theorem. Other median theorems are the special circumstances and promotion of the Lagrani median theorem.

It is a bridge for micro -science applications, which has high research value in theory and reality.

The Lagram mid -value theorem is also a special situation in the Meridity theorem.

It was not until the morning, Chen Zhou was shouted by Chen Jianguo out for breakfast, and he briefly separated from the knowledge of knowledge.

Chen Jianguo looked at his two deep eyes bags, and some doubts: "Xiaozhou, did you not sleep well last night?"

Chen Zhou said back to the back, "Well, I didn't sleep ... Okay ..."

After dinner, Chen Zhou hurried back to the house to continue.

Although the agent's strength has not yet been, Chen Zhou was afraid of being sleepy, so he did another can.

On the third day of the New Year, all day, Chen Zhou did not take a half step in the room except for eating in the house.

For some physiological needs, he was solved by the time of eating.

It was another night, and Chen Zhou deeply fell into this desire for knowledge.

When going to the toilet before meals, he found that he in the mirror seemed to be worsened except that the dark circles were worsened, and the bags under the eyes became bigger.

As for the spirit, it is extremely abundant!

Then continue ...

On the fourth day of the New Year, after eating breakfast, another can of psychsteric potion was added.

Chen Zhou is now full of these micro -scores and median theorems. The theorem finds limit, limited increase formula, unqualified formula, function, guide number, etc. It is difficult to understand.

On the fifth day of the New Year, Chen Zhou watched the only last can of the last cans of the medicine. He was a little hesitant: "Will it die suddenly? Is this really worth it for a hidden task?"

After thinking about it, Chen Zhou calculated the time left over the previous pharmaceutical superimposed, and it didn't seem to be much.

If this hidden task cannot be overcome in the winter vacation, Chen Zhou thinks that there are only three months, it is estimated that it is unlikely to be completed.

With the beginning of the new semester, it will definitely be bombarded by the madness. The time that can be divided into hidden tasks will become less and less.

He glanced at the formulas on the draft paper again. He guessed that Lagram, Koisi, and Rore could do these things. They must have spent a lot of effort.

Thinking of this, Chen Zhou no longer hesitated, he raised his head to do the last can.

Whether Xiu Xian can achieve this time, it depends on the last wave.

The pen in my hand continued to record my thoughts on the draft paper almost for a moment, and then corresponded to these theorems to verify my thoughts.

Eat all the proof of the proof, and the example of each application is familiar with the heart.

Looking back again, going to the inner connection of these theorems and combing it again.

"Lagram's median theorem is the promotion of the Rore's median theorem, and it is also a special situation of the Cosm's median theorem.

Winter during the day is short, and the night is long.

But for Chen Zhou, there is no day and night. He just feels a day, and it is too fast.

He even felt that he had just had breakfast. Why did you eat breakfast again?

After another night, at 7 am in the sixth day of the new year, Chen Zhou finished breakfast and continued to return to the room.

He sorted out the draft paper written these days.

Chen Zhou has almost learned these slightly divided and median theorem.

Even the knowledge of higher mathematics, he knew a lot.

But he was strange, why did the system not determine that he had completed the hidden task.

At the time of packing, Chen Zhou watched the proof process of the Laglan mid -value theorem written on the first day, and couldn't help smiling slightly.

The logical order inside, he has already understood it now.

It is because the Ragram's median theorem needs to be used to apply the Rore median theorem, so constructing a function to meet the conditions of the Rore's median theorem. The function of the structure is not the only one.

That's it.

Thinking of this, Chen Zhou picked up the pen and started trying to construct a function to prove the Mid -value theorem of Lagram.

"Let f (x) = f (x)-[f (b) -f (a)] x/(b-a), because functions ..."

"... so f (x) is in ..."

"... f (a) = f (a)-[f (b) -f (a)] a/(b-a) ..."

"... f (a) = f (b), so f (x) meets the three conditions of the Rore's theorem ..."

"Therefore, get a certificate."

The moment Chen Zhou finished writing, a systematic sound sounded in his mind.

"Congratulations to the host! Do ..."
Chapter completed!