Xiao Huanxi: I Broke God's Forbidden Zone

This made the group of teachers behind them sighed.

However, it has always been like this, and Tao has almost done nothing. He drank his wolfberry tea leisurely by the side, like a normal person.

Gradually, the teachers and students in the back row felt that something was wrong.

Even if this method works, it can't be used all the time.

In that case, there is nothing for the teacher after a class.

It's just repeating some old knowledge points, and it won't help academic tyrants like Qiao Yingzi and Lin Leier at all.

Could it be that this guy is really doing this for the sake of being lazy?

However, soon came the final big question! .

Strider α: ≌

Chapter [-] The Tao God Who Makes Your Scalp tingle

The last finale question.

Tao Cheng still glanced at it as usual:

"This question, please raise your hand if you do it right."

The class was silent, no one spoke, no one raised their hands.

It's not that the students don't want to raise their hands, or they want to oppose Tao Cheng, but that no one will do it at all.

Because of this question, only one of the three schools got it right.

That is Tao Cheng who is in class!

This question was posed by Mr. Huo himself, and it was much more difficult than the Olympiad question.

Some teachers commented in private that this question should not be used as a question for the exam, but should be used as a question for the competition.

This finale has a high conception, broad thinking and very flexible.

Tao Cheng looked at Qiao Yingzi, the math class representative.

Qiao Yingzi, who had been raising his head to listen to the lecture, lowered his head quietly, blushing and shaking his head slightly.

Tao Cheng's eyes once again swept to Lin Leier, a transfer student who just arrived today.

Lin Leier hurriedly raised her hands to her chest and swung it, and said hesitantly:

"Old...Teacher, I haven't done paperwork..."

Tao Cheng imitated Li Tiebang, shook his head, and sighed:

"Hey, it seems that Tao Cheng is the only one who did the right thing, so let Tao Cheng explain it now."

[Ding, the negative emotions from Huang Zhi Tao +5! 】

[Ding, negative emotions from Qiao Yingzi +5! 】

[Ding, negative emotions from Pan Shuai +10! 】

[Ding, from the physics teacher...]

Nima~

087 You yourself are Tao Cheng, okay?

I really think of myself as Li Tiebang...

Not only the classmates, but also the teachers who sat in the back row and listened to the class were dumbfounded.

……

After saying these words, Tao Cheng instantly got rid of the thinking of imitating Li Tiegun and returned to his own thinking mode. The whole person obviously felt a lot easier.

And it feels less aggressive and more cold.

Tao Cheng didn't say much, just picked up the chalk and started writing, without saying a word the whole time,

In the entire classroom, only the sound of chalk writing is left...

All the students sat upright and did not dare to breathe. Even the teachers in the back row put away their attitude of watching the play, and their expressions were serious and serious.

The silent and indifferent Tao Cheng is even stronger than Li Tiebang!

Everyone silently watched Tao Cheng, who was writing hard on the podium.

Although the chalk words are not very beautiful, no one cares, and everyone's attention is on the answer:

From a=1, b=1,

Know that f(x)=Inx/x+1+1/x.

所以，f(x)-(Inx/x-1+k/x+k/x)=1/1-x^2(2lnx+(k-1)(x^2-1)/x)……

... (cfei)

Proof: The value range of k is (-∞, 0]!

Tao Cheng writes quickly, but also in great detail.

The connection from the previous step to the next step did not jump when he answered questions, but was very rigorous and thorough.

And the whole idea is very clear.

It's like a mountain road with eighteen bends that has been straightened by Tao Cheng!

Even a poor student like Fang Yifan, after carefully stroked it from beginning to end, can see some features.

Not to mention Qiao Yingzi and Lin Leier.

He kept his eyes fixed the whole time, nodding uncontrollably, and occasionally made a sound of sudden realization.

The teachers in the back row, especially the math teachers, couldn't help feeling a little ashamed in their hearts.

Because even they, faced with such a difficult problem, can only follow the script and explain it to the students bit by bit according to the answers.

It is estimated that such a big topic will require a lecture.

However, Tao Chengquan quickly put the ideas, solutions, knowledge points, etc. of this problem on the blackboard.

It can only be said that Tao Cheng has truly mastered the essence of this problem that the old Huo posed.

......

"Mr. Li is really lucky to have such a student!"

"It's rare, and the students in Class 3 are also lucky. They should gain a lot from this class."

"Well, a genius is a genius, even our teachers can't see it through.,

"It seems that he is not lazy, but looks too relaxed to give us that illusion."

"..."

Just when the teachers were sighing at Tao Cheng's strength, the veteran math teacher suddenly snorted.

The teachers were stunned and looked up again.

After seeing Tao Cheng on the podium, after writing the solution of this question, he did not stay in the slightest.

He threw the end of the chalk, picked up a new piece of chalk, and wrote the big three words "Solution [-]" on the blackboard!

"Is there a second solution?!"

Everyone's hearts were shocked, knowing that only Tao Cheng had done this question, which showed how difficult it was.

However, Tao Cheng can still write the second solution?

Everyone quickly held their breath and looked at Tao Cheng on the podium with all their attention.

Solution two:

Inx/x+1+1/x>Inx/x-1,

That is, Inx/x+1-Inx/x-1>k-1/x,

That is, k-1<2xInx/1-x^2...

……

Proof: The value range of k is (-∞, 0]!

……

Everyone breathed a short and convulsive breath, the world of learning gods is really not something they can understand!

However, they were wrong, not because they couldn't understand it, but because they couldn't imagine it at all.

Because under their wide eyes, Tao Cheng pulled down another blackboard and wrote a big three characters on it!

Solution three:

Let g(x)=2xInx/1-x^2,

则g(x)=(2Inx+2)(1-x^2)+4x^2lnx/(1-x^2)^2，

which is……

……

Proof: The value range of k is (-∞, 0]!

Everyone feels like a poor little piece of paper, being beaten and ravaged in the ocean of formed thoughts!

Just when they thought it was over, Tao Cheng threw the end of the chalk again...

All the teachers were like woodcarvings, staring blankly at Tao Cheng who didn't stop for a moment.

And the students in Class 3 were sore when they copied it, and they didn't catch up with the speed of Tao Cheng's writing on the blackboard, let alone thinking.

Even Qiao Yingzi and Lin Leier felt their heads were muddy and messy, so they could only copy numbly.