Method 3?
Cao Tianyuan rubbed his eyes vigorously.
Found...
He really didn't see it wrong. Jiangnan was actually using the third method to solve the second question of the final question.
As for why it was not method 2?
Because...
Method 2 has been written!
While he was whispering to another invigilator, Jiangnan had already written the second solution.
He stared at the second solution.
Found...
The solution idea and process are completely different from the first solution, but the result can be proved in the same way.
This...
It's really incredible.
"Grass!"
"Grass!"
"Grass!"
"..."
Cao Tianyuan was so shocked that he couldn't say anything else, except for the plant grass.
Damn it!
Other students probably didn't even have a solution idea, and even he, the teacher, was confused. It was only after watching Jiangnan's solution process that he suddenly realized it.
But the result...
Jiangnan has two solutions.
Are they both correct?
No!
Wrong!
Not two.
But three.
Jiangnan is already writing method 3.
Cao Tianyuan clenched his fists and quickly focused on Jiangnan's third solution.
I saw...
Jiangnan wrote very fast.
"Shua shua shua!"
It took only a few breaths.
Method 3 was also finished.
Fast!
Incredibly fast.
And its ideas and processes are different from methods 1 and 2, but the conclusions are the same.
It's really awesome.
Even better than Red Bull.
Cao Tianyuan felt his blood boiling, rushing straight to the sky, and the rhythm of exploding!
Too exciting.
Even more exciting than entering the bridal chamber when he first got married.
Too shocking.
Even more shocking than the men's football team winning the World Cup.
Although Jiangnan's first and second solutions are completely different, they are also related.
The first is the conventional solution, that is, the forward method, and the second is the unconventional solution, that is, the reverse method.
One is the forward method and the other is the reverse method.
Cao Tianyuan can still accept this.
But what is this third solution?
Jiangnan actually changed the concept directly and used the geometric proof method to solve the function proof problem.
But...
The process is just as clear and straightforward.
In the end, it is also proved that for any positive number a, x, f(x) is greater than 1, but less than 2.
Eye-opening.
It is really eye-opening.
Cao Tianyuan only felt that the door to a new world in his heart was opened at once.
Originally, although he was good at mathematics and was a senior master, he was still far from a professor in terms of level, and he was stuck in a bottleneck and could not go further.
Otherwise...
He would not have stayed in high school for decades.
But now...
He suddenly found that his bottleneck was broken, and he could go further in mathematics.
Of course!
It's hard to describe this in words.
It's just a kind of intuition, or inspiration.
In short!
He gained a lot from Jiangnan's three solutions, especially the third one.
"Huh!"
Suddenly.
A strange interjection was uttered.
It pulled Cao Tianyuan back from the state of cerebral hemorrhage...cough cough...enlightenment.
It was Jiangnan.
He exhaled and muttered to himself, "This question is really interesting, and it took me a while."
"It's just that this answer sheet is too small. I only wrote 3 solutions and there is no place to write. What a pity."
"..."
"Puff!"
Jiangnan's words were like a deep-sea torpedo, exploding on the spot.
Cao Tianyuan behind him and another invigilator who had just walked over were all in a state of shock.
Jiangnan, ah Jiangnan.
Please be a human being!
What do you mean by wasting a long time?
You've been writing until now.
It's only been ten minutes since the exam started!
That's because you used two more solutions for the last question, otherwise it wouldn't take ten minutes at all.
What do you mean by the answer sheet is too small, so you only wrote three solutions?
Could it be...
You have more than three solutions for this question?
There's a fourth and a fifth?
The invigilator couldn't listen any more.
He was afraid to listen any more.
He was so shocked that he had a heart attack, so he didn't dare to pay attention to Jiangnan anymore, and quietly left to see other students.
As for Cao Tianyuan, his blood pressure, which had just been pulled back, almost rose again, and he really had a cerebral hemorrhage.
Damn it!
He just felt that he had broken through the bottleneck, and he was happy in his heart, and he was thinking about thanking Jiangnan afterwards.
But now...
Forget it!
This kid is simply not a human being.
You know, I couldn't think of any solution at the beginning.
Even though I just broke through the bottleneck.I have only learned your three solutions.
And you...
Actually have more solutions?
Too cruel.
Too scary.
Even if I make further progress, I can't compare to you!
You are electricity.
You are light.
You are the only myth.
I am old, old, really old.
I don't know whether it is a joy or a sorrow to be your math teacher. I am hit.
"Teacher!"
"I'm done, can I go to bed?"
Jiangnan had put down his pen and realized that Cao Tianyuan was behind him, so he turned around and asked.
While asking the question.
He was full of contempt in his heart.
"Sure enough!"
"It's not a coincidence that Lao Cao is the invigilator."
"It's intentional. He deliberately stared at me."
"But..."
"I didn't let you down, and I got it right, so I must have got full marks. Just stare at me!"
"..."
"What?"
"Don't you want to check?"
Hearing this, Cao Tianyuan subconsciously reminded him.
But...
As soon as he said this.
He wanted to slap himself twice.
Check?
Check a fart.
With Jiangnan's strength and his own vision, he must have gotten everything right.
"Check?"
"No need to check."
"How can I get such a simple question wrong? If you don't mind, I'm going to sleep."
Jiangnan grinned at Cao Tianyuan, and regardless of whether the latter agreed or not, he fell asleep on the table.
Ha!
Lao Cao, Lao Cao!
If I let you stare at me on purpose, I'd be surprised if I gave you face.
Cao Tianyuan: “#¥¥#¥%!!!”
This person.
He is really not a human being.
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