Chapter 63

and the time the students took to think became longer and longer.

After waiting for a few minutes,

seeing that no students were raising their hands,

the instructor flipped through the class roster,

and then said: "How about this, since no one is raising their hands anymore, I'll call on someone to answer."

"You, Qin Feng. You're a college entrance exam top scorer with a perfect math score, after all; don't let me down!"

"Alright, teacher."

Being called by name,

Qin Feng stood up and interpreted the example using conventional thinking.

The instructor nodded with satisfaction upon hearing this, indicating it was not bad.

But at this moment,

Zhu Yun, who had been sitting in the back row, suddenly made a sound: "With this kind of problem-solving thinking, you can still get a perfect score in math?"

Then,

Zhu Yun stood up, lifted her chin at Qin Feng,

and then looked at the instructor and said: "Teacher, I thought of 3 other feasible ways to solve the problem. Can I say them?"

"Of course."

The instructor, hearing this, expressed appreciation for Zhu Yun: "Actually, there aren't many students in mathematics who can apply what they've learned and draw inferences about other cases. Classmate Qin Feng, you should learn well from this female classmate!"

.......

After receiving the instructor's praise,

Zhu Yun once again lifted her chin,

looking at Qin Feng with a proud and spoiled expression.

Then,

Zhu Yun loudly stated her three problem-solving methods one by one.

Hearing Zhu Yun's answer,

the instructor’s joy gradually showed on his face,

and the surrounding students also slowly revealed expressions of sudden enlightenment, sighing one after another that it was possible to start solving the problem from such an angle.

However,

when Zhu Yun finally stated the third problem-solving approach,

the instructor’s expression changed slightly,

and his eyes carried a trace of confusion and doubt.

At the same time,

Qin Feng also looked slightly surprised and turned his head to look at Zhu Yun.

The other students didn't notice anything,

still taking notes in a hurry with a learning mindset.

But after waiting for two minutes,

Qin Feng and the instructor spoke at the same time: "Wait a moment!"

After speaking in unison,

the instructor looked at Qin Feng: "Classmate Qin Feng, you discovered it too?"

"Yes."

Qin Feng nodded, looked at the instructor and said: "Teacher, the data variable formulas used by classmate Zhu Yun in the third problem-solving approach just now are all wrong, so it will lead to an error in the entire calculation result."

"Wrong?"

Zhu Yun, hearing this, had a very surprised expression: "That can't be, I shouldn't be wrong. Teacher, classmate Qin Feng, I verified these three problem-solving approaches repeatedly in my mind, and the results were all the same."

"Are the calculation results the same?"

The instructor was slightly stunned upon hearing this,

and after thinking for a moment, he understood the reason.

However, the instructor didn't explain it directly,

but looked at Qin Feng and asked: "Classmate Qin Feng, when the data variable formulas are used incorrectly, but the final data calculation result is the same, what is the reason for this?"

The instructor's question

made Qin Feng the focus of the entire room.

Many students were looking at Qin Feng, whispering about various possibilities.

And at this moment, Zhu Yun

was staring at Qin Feng unconvinced.

She also wanted to know, why was this?

Qin Feng, hearing this, smiled slightly: "The variable formulas are used incorrectly, but the calculation result is the same; there is only one reason for this."

"That is, besides the approach being correct, classmate Zhu Yun's third problem-solving method is wrong from beginning to end."

"However, because of the preconceived notion, classmate Zhu Yun constantly corrected and changed things during the problem-solving process, thereby ensuring the consistency of the final answer."

"How is that possible?!"

As soon as Qin Feng finished speaking,

Zhu Yun argued loudly: "Teacher, Qin Feng, I can be sure that my third method absolutely has no problems."

"Teacher, I request to perform the calculation on the spot to prove myself!"

After saying this,

before the instructor could agree,

Zhu Yun walked down the tiers,

stood outside the podium,

and turned to look at Qin Feng: "Classmate Qin Feng, can we make a bet?"

"Hmm?"

Qin Feng asked, somewhat confused: "Bet on what?"

"Bet on the seat you are sitting in right now!"

Zhu Yun pointed at Qin Feng's seat: "Qin Feng, if I win, then starting from the next math class, you must be responsible for saving a seat for me. That is to say, you can only sit in this seat if I sit there!"

After hearing Zhu Yun's request,

Qin Feng smiled speechlessly. Women, indeed, are all petty.

It's just that

the instructor and Qin Feng had both discovered and confirmed at the first moment that there was a problem with Zhu Yun's third solution,

so she definitely couldn't win.

Therefore,

Qin Feng asked back with a smile: "Then what if you lose?"

"I won't lose!"

Qianxun Resource Group 255595300

Zhu Yun's response was very certain.

The instructor, hearing this, smiled and looked at Zhu Yun, shaking his head slightly.

Other students, seeing this,

spoke up for Qin Feng: "Classmate Zhu Yun, you only win and never lose, what kind of bet is that?"

"Exactly, you were the one who took the initiative to bet with classmate Qin Feng, you didn't even state the conditions, what are you betting for?"

"Classmate Zhu Yun, don't be overly confident. Classmate Qin Feng has a perfect math score!"

"Fine."

Hearing the students' rebuttal,

Zhu Yun said confidently: "Classmate Qin Feng, you set the conditions. If I lose, I will do whatever you tell me to do."

"Fine."

Qin Feng nodded: "If you lose, then you will be responsible for helping the instructor erase the blackboard for a month."

"Haha, that's not bad."

The instructor, hearing this,

smiled happily and nodded at Qin Feng.

And at this moment, Zhu Yun

also lifted her chin at Qin Feng and said extremely stubbornly: "Fine, I agree."

After saying this,

Zhu Yun walked onto the podium, picked up a piece of chalk, and began to calculate.

And all the students present,

at this time, were also looking at the blackboard with Qin Feng and the instructor, waiting for the final result.

At the beginning,

Zhu Yun wrote very fast.

But when the problem-solving process reached one-third,

Zhu Yun stopped,

looked back at her own calculation process,

and her face turned red in an instant.

After checking the previous calculation steps one by one,

Zhu Yun knew

that by the step where she stopped writing,

she had already made many mistakes.

It was practically one mistake after another with every step she wrote.

This situation was exactly the same as what Qin Feng said.

Zhu Yun's third solution

was wrong from the very beginning.

It was just because Zhu Yun knew the detailed process and the correct answer to this problem,

that she persisted in her error,

constantly correcting the values during the wrong problem-solving process,

and in the end, she actually managed to get the correct answer by mistake!

Zhu Yun knew

that she had already made a ridiculously large mistake.

But at this moment,

there were so many pairs of eyes behind her watching her,

and,

she had just made a bet with Qin Feng with such certainty.

If she just put down the chalk and admitted defeat now,

she would definitely be mercilessly mocked by Qin Feng and the classmates.

Therefore,

after thinking carefully for a while,

Zhu Yun bit the bullet,

picked up the chalk again, and continued to calculate on the blackboard...

Seeing Zhu Yun refuse to correct her mistake,

the instructor frowned slightly,

and then,

met Qin Feng's gaze and shook his head helplessly with a smile.

Among many subjects,

mathematics has the most rigorous requirements.

If it's wrong,

it's wrong.

Even if it's just one symbol or one unit that is wrong,

it will directly affect the final result of the mathematical calculation.

Two minutes later,

Zhu Yun stopped writing again.

She carefully checked all her calculation processes back and forth,

knowing that she had already made mistakes to a ridiculous degree.

But Zhu Yun still felt that there was no problem with her problem-solving approach.

Biting her lip tightly,

Zhu Yun checked the entire calculation process carefully one more time,

and finally had to accept her failure.

Then she sighed softly,

slowly turned around,

and bowed to the instructor and the classmates to apologize: "I'm sorry, teacher. I'm sorry, classmate Qin Feng. I'm sorry, classmates..."

"The teacher and classmate Qin Feng were right. I was wrong about this problem from the beginning, and in order to correct the calculation process, every step I took afterward was wrong upon wrong..."

Seeing that Zhu Yun bowed and apologized to him and the classmates immediately after realizing her mistake,

the instructor’s attitude was somewhat approving.

He nodded and said: "Classmate Zhu Yun, mathematics indeed requires a research spirit of not turning back until you hit the south wall, but not the kind of persisting in error like you did."

"But fortunately, you have now admitted your mistake and apologized to me and everyone."

"Actually, just as classmate Qin Feng said, your problem-solving approach is not problematic, but the problem lies in the first step of your problem-solving, because you were wrong from the first step."

The instructor turned his head to look at Qin Feng: "Qin Feng, can you correctly solve this problem using classmate Zhu Yun's problem-solving approach?"

"I can, teacher."

Qin Feng nodded and walked slowly onto the podium.

Seeing that Zhu Yun, who was on the side, was standing still,

Qin Feng reminded her with a smile: "Classmate Zhu Yun, it's time to erase the blackboard!"

"I know."

Although Zhu Yun was still somewhat unconvinced by Qin Feng,

she still obediently picked up the blackboard eraser,

and erased all of her problem-solving process.

Then,

554707555

Zhu Yun looked at Qin Feng, waiting for Qin Feng to write out the problem-solving process and the answer.

"Teacher, classmates."

Qin Feng wrote down several important pieces of data for the problem on the blackboard,

and then said loudly: "Although this problem-solving approach of classmate Zhu Yun is feasible, compared to the conventional method, it is actually a bit of a detour."

"To give an example, this problem is like going from point A to point B. The conventional method the teacher taught the classmates, although the most common, is also the shortest distance and the one with the best road conditions."

"And this problem-solving approach of classmate Zhu Yun is actually going from point A to point C first, then crossing a small path to reach point D, and then crossing a river from point D to point B."

"Although this is indeed a problem-solving approach, compared to the conventional method, it takes a lot more road and is much more troublesome."

"Therefore, this approach can be used to show off skills, but its practical value is not great."

As Qin Feng spoke,

he first wrote out the conventional problem-solving process on the blackboard,

and then,