After a while, Lao Zheng came back to his senses, handed over the chalk and said, "Write down the process of solving the problem."

Qin Ke started writing quickly.

“(1) Because F(c,0),A(a,0),B(0,b),C(0,-b),

Therefore, the equation of straight line AB is x/a+y/b=1,

The equation of straight line CF is x/c-y/b=1,

…

So the standard equation of ellipse E is x^2/4+y^2/3=1"

"(2) Suppose there is a straight line l, so that F is the vertical center of △BMN, connecting BF and extending it, connecting MF and extending it, as shown in the figure, then BF⊥MN, MF⊥BN,

…”

The students in the audience were stunned.

"Damn it, this explanation process is a bit brain-burning, I can't understand it..."

"Why didn't Teacher Zheng say a word or comment?"

"Call the math representative and see if this guy is doing it right?"

"Don't ask the department representative, it's more reliable to ask the academic committee member Ning Qingyun about this matter."

A female student at the front desk quickly turned around and asked Ning Qingyun: "Study Committee, did Qin Ke do the right thing?"

Ning Qingyun looked at the figure writing furiously on the podium with a complicated expression, and nodded: "So far, everything is correct."

The whole class was suddenly in an uproar.

Ning Qingyun's super academic status is well-known in Yingyuan High School, so even though they have been in the same class for only about two months, in the minds of the students, Ning Qingyun's words are basically equivalent to the teacher's words.

If the school committee says it’s right, then it’s right!

The question is, is Qin Ke’s math level really that high? Or has he been hiding his strength before?

At this time, Qin Ke had finished writing the answer process, but saw that he drew a long dividing line under the final answer, and then started writing again.

"What is he going to do... Damn it! The 'second solution', he is going to use the second solution!"

"Really? Is there a second solution to this question?"

"No...it's not over yet. He wrote 'the third solution'...am I not dazzled? Were these five words the last thing he wrote?"

Amid countless surprised and even dull eyes, Qin Ke used three different solutions to solve this problem. After writing, he threw away the chalk and returned to his seat calmly.

Silence! The whole classroom was silent.

Everyone stared dumbly at the blackboard filled with the solution process, and couldn't believe their eyes.

Ordinary students can't even fully understand these three different solutions. Only the dozen or so top students with good math scores can see that these three solutions are all correct!

In an instant, everyone looked at Qin Ke with incredible eyes.

If I only write down one of the solutions, I can say that I have seen similar questions somewhere, but with three different solutions, it is hard to say that I am confused.

Ning Qingyun looked at Qin Ke in surprise again, the surprise on her pretty face unable to be concealed.

The guy in front of me, who slept in class and turned in a blank in the monthly exam, could easily write down three different correct solutions?

Especially the last solution is even more ingenious, because it uses the polar coordinate equation of a plane curve in the mathematics elective 6 textbook, which is not something that only half of the students in the first semester of high school can master.

Could it be that this Qin Ke, like her, had taught himself all the content of high school mathematics? The most incredible thing is that this guy just said the correct answer as soon as he opened his mouth. Could it be that such a question can be solved by mental arithmetic? At least she

I think it is very difficult to do it, and even if I want to do it, it cannot be done in three to five minutes.

Is this really the same person as the problem student in her impression, the scumbag who turned in blank papers?

Ning Qingyun was a little confused in the wind.

The one who was most surprised or even pleasantly surprised was the mathematics teacher Zheng Jianzhou. He carefully read the three solutions line by line before suppressing his excitement and said: "These three solutions are all correct. I only thought about it when I set the question.

One solution, I didn’t expect Qin Ke to be able to think of three solutions at once. Qin Ke’s mathematical thinking is very active and he has a sense of innovation, which is very good!”

He didn't say anything about Qin Ke's mental arithmetic because he was afraid of scaring ordinary students. He had a vague hunch that this kid was the hidden mathematical genius he had been looking for! He had always had double standards and looked around the audience without hesitation.

Said: "Those male students in the class, I won't name them. If you are a bit of a man, just stand up and apologize to Ning!"

Those male classmates who said weird things before looked at me. Under Lao Zheng’s terrifying pressure and the strange looks of the girls in the class, no one dared to refuse, so they had to stand up and shout together: "Classmate Ning Qingyun,

sorry!"

Ning Qingyun's face turned a little red. She glanced at Qin Ke, who was humming a song next to her. She didn't know what she was feeling. She blushed and whispered: "No...it doesn't matter."

Zheng Jianzhou motioned to the male students to sit down: "I won't explain this question. Qin Ke's solution is very detailed. You can just read the steps to solve the problem yourself. If you don't understand, you can ask Qin Ke after class."

Qin Ke listened happily to the system prompts that kept ringing:

"Ding! The host has received double the shock value of 102 points! The god of learning experience value is 102."

"Ding! The host has gained 32 points of jealousy! God of Learning experience points of 32."

"Ding! The host has gained 49 points of envy! God of Learning experience points of 49."

He didn't care about the opinions of others or the words of Lao Zheng on the stage. He was only thinking about it. With this show of pretentiousness just now, he should have almost earned 500 experience points for the mission target, right?

As expected, he soon heard a new system prompt:

"Ding dong! Congratulations, you have completed the 'New Function Task: Pretending to Make Me Improve', and the rewards are being distributed... Your God of Learning experience will be an additional 1,000!"

"Ding dong! Congratulations, your God of Study experience has accumulated to 2100 points, which has upgraded your mathematics level to: 'High School Mathematics Olympiad (municipal preliminary competition) level'. At this point, any Mathematical Olympiad question that does not exceed the difficulty of the municipal preliminary competition

It’s no longer difficult for you, you can even calculate the answer directly in your head.”

This chapter is not finished yet, please click on the next page to continue reading the exciting content! "The next level of mathematics subject: 'High School Mathematics Olympiad (Provincial Semi-finals) Level' requires you to accumulate 5,000 points of God of Study experience. Please

Keep up the good work!”

Qin Ke clenched his fists excitedly, yay! The mathematics level has been improved again! Countless mathematical knowledge and experiences poured into Qin Ke's brain. Qin Ke even felt that his brain had become clearer and his thinking was more agile and flexible. The biggest evidence is that

It only took him less than a minute to digest the new mathematical knowledge and experience from the system.

Suddenly I heard Zheng Jianzhou say: "Qin Ke, come up and do these two questions again."

If anyone pays attention, they will find that Lao Zheng's tone is extremely gentle, not as harsh and forceful as he usually does when he treats students.

Qin Ke was feeling happy. When he heard Lao Zheng calling him, he raised his head and glanced at the newly written question on the blackboard. He saw that it was a proof question. The question only had one short sentence, to prove an inequality, but the more

Simple questions are more difficult to prove, especially quadratic inequalities of one variable, which is a compulsory knowledge point in Course 6.

But for Qin Ke, the ideas and answers can be understood after a little thought.

He walked to the blackboard, picked up the chalk and brushed it, and then used the function extreme value method to easily create it.

There was another exclamation in the audience, and the system prompts kept ringing in Qin Ke's ears, like a fairy sound, so when Lao Zheng asked him to do another question, Qin Ke looked at the three funny hairs on his head.

Feeling that it was pleasing to the eye, he immediately said cheerfully: "Come on, come on, just let your horse come over!"

Zheng Jianzhou raised a meaningful smile on his lips and wrote the last question:

"Proof: Among any 6 people, either 3 know each other, or 3 do not know each other."

This time it was Qin Ke's turn to be stunned.

Not only Qin Ke, but also the whole class was stunned.

What kind of fairy tale is this?

"...Are the math questions that Teacher Zheng gave me? I feel like I went to a fake school. Why do I know all the characters but don't understand them at all?"

"Yes, I found the previous three questions difficult enough, and I have no clue about this one. How the hell can I prove this? Find six people to ask?"

"If we say that any six people, six classmates in the class all know each other, right? Is this proof?"

"You are stupid. There is an 'or' in the question, which means that both situations must be proved. No, are they proved separately or at the same time? I am confused. What a fairy question!"

"Are you afraid that Qin Ke won't be able to figure it out this time? Seeing how arrogant he is, why don't you just let him go?"

There was a commotion in the audience. Most people didn't understand how difficult this question was. They just felt that Qin Ke probably couldn't do it, so they subconsciously became happy.

No one would be happy to see a scumbag who sleeps in class every day suddenly rise to prominence. Even if they don't know how to do it themselves, it still doesn't stop them from taking pleasure in others' misfortune - this proves that although Qin Ke is a bit powerful, he is no better than them.

How awesome it is.

Only Ning Qingyun frowned, subconsciously worried about Qin Ke, because she knew very well that this was a Mathematical Olympiad preliminary level question!

Qin Ke has never read a book on Mathematical Olympiad, so how could he possibly do it?

Under the gaze of countless people, Qin Ke spoke: "Teacher, did you commit a foul? This is not a question within the scope of high school exams."

He actually asked such an over-the-top question, and it was so unpleasant to show off? If I hadn’t just improved my math level, I would have been really stumped by this question.

All the students breathed a sigh of relief, Qin Ke really didn't know how!

A trace of disappointment also flashed in Zheng Jianzhou's eyes: "Why, you can't figure it out?"

Unexpectedly, Qin Ke just said "hehe" twice: "It's not bad, this kind of question is interesting to do."

He picked up the chalk and said: "We can transform this proof problem into proving the famous Ramsey-type problem in graph theory, that is, proving that there must be triangles of the same color in the 2-color complete graph K6."

Zheng Jianzhou's eyes lit up again: "You actually know graph theory and Ramsey-type problems?"
To be continued...