A fat man who was reborn from the dead? He transforms into a perfect male god in a week.

Chapter 44: Completed all the competition questions in 3 minutes with perfect scores, is this even h

"..."

The office fell silent.

Three seconds later.

"puff!!!"

One of the teachers couldn't help but laugh out loud.

Zhang Guodong frowned: "Jiang Chen, do you know what kind of question this is? It's a competition question! Three minutes? You can't even finish the first one!"

Lu Haoran laughed too, his smile laced with sarcasm: "Jiang Chen, this isn't how you show off."

Zhou Dapeng also advised, "Jiang Chen, do your job well, there's enough time."

Jiang Chen shook his head and said nothing more.

He picked up his pen, walked to Zhou Dapeng's desk, and sat down.

then……

"Swish swish swish swish!!!"

The pen tip glides swiftly across the paper, so fast that it leaves a trail of afterimages.

Question 1, fill in the blank: [Let the function f(x) = x^3 + ax^2 + bx + c attain an extreme value at x = 1, and f(0) = 1, f(1) = 2, find a + b + c.]

Jiang Chen glanced at it, and three seconds later wrote down the answer: "3".

第二题,填空:【已知正数a,b,c满足a+b+c=1,求(a^2+b^2+c^2)(1/a+1/b+1/c)的最小值。】

Jiang Chen thought for a moment, used a variation of Cauchy's inequality, and wrote down the answer ten seconds later: "9".

Question 3, fill in the blank: [In triangle ABC, ∠A = 60°, BC = 2, and D is the midpoint of BC. Find the maximum value of AD.]

Jiang Chen drew a diagram on the draft paper, using the Law of Cosines and the AM-GM inequality, and wrote down the answer after fifteen seconds: "√3".

Three fill-in-the-blank questions, finished in less than thirty seconds.

Next came the short answer questions.

First short answer question: [Prove that for any positive integer n, there exist n distinct positive integers such that their sum equals their product.]

Jiang Chen glanced at it and wrote down the solution directly.

Solution 1: Construction method, take 1, 2, 3, ..., n-1 and S = n(n-1)/2, verify...

Solution Two: Mathematical Induction...

Solution 3: Number theory analysis, using factorization...

Three solutions, written in a flowing style, can be completed in one minute.

Second short answer question: [Suppose f(x) is a continuous function defined on R, satisfying f(x+y)=f(x)f(y) for all real numbers x,y, and f(1)=2, find the expression for f(x).]

This question is simpler.

Jiang Chen wrote directly:

「解法一:令y=0得f(x)=f(x)f(0),故f(0)=1(排除f(x)恆为0)。

For positive integers n, we can inductively conclude that f(n) = 2^n.

For rational numbers p/q, we can obtain f(p/q) = 2^(p/q) from f(p) = f(p/q)^q.

By continuity, for any real number x, f(x) = 2^x.

Solution 2: Take the logarithm and let g(x) = ln f(x), we get the Cauchy equation g(x+y) = g(x) + g(y). By continuity, we get g(x) = kx, so f(x) = e^(kx). Substituting into f(1) = 2, we get k = ln2...

Solution 3: Differential method (assuming differentiability), differentiate with respect to y to get f'(x+y)=f(x)f'(y), let y=0 to get f'(x)=f(x)f'(0), solve the differential equation...

Solution 4: Power series expansion. Let f(x) = ∑a_n x^n, substitute it into the function equation and compare the coefficients...

Solution 5: Utilize functional equation theory and directly apply the characteristics of exponential functions...

The five solutions are written in dense text, but the logic is clear and the steps are complete.

After writing the last word, Jiang Chen put down his pen.

I raised my hand to check my watch.

Two minutes and fifty seconds.

Ten seconds to three minutes left.

"Teacher Zhou, Teacher Zhang," Jiang Chen handed over the test paper. "I've finished. Please check it."

"..."

The office was deathly silent.

All the teachers stared wide-eyed at Jiang Chen, as if he were a monster.

Zhou Dapeng's hand trembled slightly as he took the test paper.

Zhang Guodong also came over.

The two put on their reading glasses and began to read.

"The answer to the first question is 3... That's right."

"The answer to the second question is 9... That's right."

"Question 3, the answer is √3... That's right."

All the fill-in-the-blank questions were answered correctly.

Then came the short answer questions.

"For the first question, there are three solutions, all of which are correct, and there is even one more solution than the reference answer."

"Question 2..."

Zhang Guodong stared at the five solutions, his eyes widening.

"This...this..." His voice trembled, "This fifth solution...uses functional equation theory?"

Zhou Dapeng was also stunned: "This kind of solution... even university math majors don't necessarily teach it!"

The two looked at each other and saw the shock in each other's eyes.

Then they checked it carefully again.

Every step of the derivation is rigorous, and every conclusion is correct.

All five questions were answered correctly.

Moreover, the short answer questions provided multiple solutions, some of which even teachers who have taught mathematics for decades had not thought of.

"This...how is this possible..." Zhang Guodong murmured.

Three minutes?

Five competition questions?

All correct? And multiple solutions?

Is this even human?

Zhou Dapeng was also stunned, but he quickly recovered and his face lit up with joy.

"Great! Great! Great!" He said "great" three times in a row. "Jiang Chen, with your skills... go participate in the league, and you've got a sure thing for the provincial first prize! No, you've even got a sure thing for the provincial team!"

Zhang Guodong was convinced at this point.

I'm completely convinced.

He looked at Jiang Chen with a complicated expression: "Jiang Chen, just now... it was my fault. Your strength is indeed much greater than Lü Haoran's."

He turned to look at Lü Haoran.

Lü Haoran was still sitting there, staring blankly at his test paper.

He couldn't even answer the first fill-in-the-blank question.

"Haoran," Zhang Guodong sighed, "Forget it, don't do it."

Lu Haoran raised his head, his face pale: "Teacher Zhang, I..."

"Jiang Chen has finished, all correct," Zhang Guodong said. "Your speed... is far too slow."

Lu Haoran looked at Jiang Chen, his eyes filled with disbelief.

Three minutes?

All correct?

How is that possible?

But he knew that Teacher Zhang wouldn't lie to him.

"I...I lost." Lü Haoran lowered his head, his voice hoarse.

Zhang Guodong patted him on the shoulder: "It's okay, the path of competitions isn't for you. Focus on preparing for the college entrance exam."

He looked at Zhou Dapeng: "Teacher Zhou, let's do as you said and let Jiang Chen and Tang Ruoxi participate in the competition."

Zhou Dapeng nodded: "Okay."

Zhang Guodong pulled the distraught Lü Haoran away.

In the office, the other teachers then realized what was happening.

"Holy crap... finish a competition problem in three minutes?"

"All correct? Multiple solutions?"

"Jiang Chen's math skills... are incredible!"

"With this level of skill, winning first prize in the provincial league would be a piece of cake, wouldn't it?"

[Ding! You have received +10, +20, +30 Amazing Points...]

The system notification sounded cheerfully in Jiang Chen's mind.

Zhou Dapeng's face flushed with excitement: "Jiang Chen, how...how did you train to be this strong?"

Jiang Chen rubbed his bald head: "So...read more books?"

"What books could you read to reach this level?" Zhou Dapeng asked skeptically. "Your fifth solution used functional equation theory, which even university math majors might not study!"

Jiang Chen grinned: "I taught myself."

Zhou Dapeng: "..."

He took a deep breath to calm himself down.

"Okay, you're good."

He patted Jiang Chen on the shoulder, "Do your best in the competition this weekend, and be sure to win first prize in the province to bring glory to the school!"

"Okay." Jiang Chen nodded.

"Alright, let's go back to the classroom," Zhou Dapeng said. "Ruoxi, you should go back too."

Tang Ruoxi looked at Jiang Chen, her eyes sparkling: "Old Chen, you're amazing."

"Just average," Jiang Chen said modestly.

The two walked out of the office.

The door closed.

The other teachers in the office then erupted in discussion.

"Teacher Zhou, this student Jiang Chen... where did this prodigy come from?"

"I've never seen anyone finish a competition problem in three minutes in my thirty years of teaching math!"

"With this level of skill, going to the league would be like stomping on weaker opponents, wouldn't it?"

Zhou Dapeng grinned from ear to ear: "Stomping on weaker opponents? That depends on whose opponents we're stomping on! Anyway, our school is going to be famous this year!"

He could almost see Jiang Chen and Tang Ruoxi returning with their provincial first-prize certificates.

……

In the corridor.

Jiang Chen and Tang Ruoxi walked side by side.

"Old Chen, you were so cool just now," Tang Ruoxi whispered.

"Really?" Jiang Chen raised an eyebrow.

"Yes," Tang Ruoxi nodded. "Lu Haoran's face turned pale."

Jiang Chen laughed: "He asked for it."

[Ding! You have received +30 Amazing Points!]

Goodness, Tang Ruoxi also contributed thirty points.

Jiang Chen was in a good mood.

This show-off was a huge success.

Not only did they secure a spot in the competition, they also garnered a lot of impressive points.

more importantly……

He proved his abilities.

Completed the competition questions in three minutes, got them all right, and showed multiple solutions.

With this level of skill, he should be a shoo-in for first prize in the provincial league.

If I could make it into the provincial team and participate in the national finals...

That level of amazement would be off the charts!

As Jiang Chen thought about it, the corners of his mouth turned up in a wild smile.

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