I really just want to be a scholar

Chapter 35 The Three Great Problems

Old Zheng patted the table and said solemnly: "Quiet, now put away all the exercise books and books, put the schoolbag on the side of the dais, leave only the pen and ruler, and the exam will start in 3 minutes! The exam time is three hours! How many questions you can do counts." question!"

The authority of the teachers is still great. Although some students are dissatisfied, they dare not really stand up and talk back, so they hurry up to do so.

So the classroom became a little chaotic.

Although Ning Qingyun didn't have to take part in the selection test, she still sorted out her books and sent them to the podium together with the test paper folder returned by Qin Ke in her school bag.

When she came back, Qin Ke asked curiously in a low voice: "Why, do you want to try this selection question?"

Ning Qingjun nodded seriously: "It's always good to practice more."

Soon the test papers were distributed, and most of the students began to answer the papers.

But before Ning Qingyun asked for the test paper, Lao Zheng had already sent her and Qin Ke two papers.

"You guys are limited to three hours for this job, and you can do as much as you can." After saying that, Lao Zheng sent papers to the other three seeded contestants.

Qin Ke glanced at it, and it seemed that it was different from the selection papers being made in the front row.There were four questions in the selection paper, but the papers in his and Ning Qingyun's hands had only three questions, and they were obviously different questions.

"These topics..." Ning Qingyun muttered in a low voice.

"What's the problem?"

Ning Qingyun shook her head and said nothing, but raised her pen to signal Qin Ke to start answering the questions too.

Qin Ke looked carefully at the paper in his hand, and finally understood the meaning of what Ning Qingyun had just said.

These three are not the difficulty of the municipal preliminary competition... At least it is very close to the difficulty of the provincial semi-finals, and the requirements for the flexible use of mathematical knowledge and problem-solving skills are much higher.

Ning Qingjun also participated in the provincial competition last year. Although he failed to rank among the top ten, he was still sensitive to the difficulty of the questions, so he could judge it.

"Why did you suddenly increase the difficulty of the topic? Forget it, the difficult point is the difficult point, and it will be interesting to do so." Qin Ke murmured in his heart, directly pressed the draft paper under it as a pad, and began to "sharpen the pen to the difficult problem" .

For Qin Ke, whose mathematics level has reached the "high school Olympiad (provincial rematch) level" at this time, these three major problems have successfully aroused his interest, and he picked up a brush and concentrated on solving the problems.

……

Cai Jiansen, the deputy head of the mathematics department in the second grade, had noticed Qin Ke early on.

Of the five seeded contestants who received special papers, the only one he didn't know was Qin Ke, so he could guess his identity right away.

Seeing this kid with messy hair, a sleepy and undisciplined look, and a school uniform in a ruffian way, Cai Jiansen felt a little upset, let alone that this student is the "proud student" of his arch-rival Zheng Jianzhou.

He snorted softly, and went over to see his protégé, Wen Zhiliang from Class Seven. The performance is also very good.

If it wasn't for physical reasons that he didn't participate in the Mathematical Olympiad last year, Wen Zhiliang would most likely finish in the top ten, so Cai Jiansen has high hopes for him.

Seeing that Wen Zhiliang was still thinking about the first question, Cai Jiansen stood by and watched for a while.

I don't know if it's because the teacher was nervous standing next to him, or because this question, which is close to the difficulty of the rematch, is really too difficult. Wen Zhiliang's forehead was sweating, and the hand holding the pen trembled slightly, but he hadn't written a line of problem-solving process on the scratch paper for a long time.

Cai Jiansen was a little disappointed, Wen Zhiliang's psychological quality was still a bit lacking, and he even cried to himself after failing in the midterm exam last time.

However, he also knows the difficulty of these three big questions. These are the questions carefully selected by their 10 high school math teachers all night. It is normal to think of the starting point for solving the problem. After all, less than [-] minutes have passed, and the total test time is three hours.

Cai Jiansen didn't bother Wen Zhiliang anymore, moved his feet, and went to see Liu Zihao and Huang Pei, two seeded players in the second and third grades of high school, and saw that they were also frowning and thinking hard about the first question, and felt a little relieved, at least others I haven't made it yet, and my disciples haven't fallen behind.

Not only him, but a dozen other math teachers and Vice Principal Wen were also pacing around the classroom, observing each student's performance and answering questions.

There are so many teachers "invigilating" the exam at once, including the vice principal. Students with poor psychological quality are afraid that they will be easily nervous to the point of collapse. Fortunately, most of the students who can come to participate in the training are at the top level, and they still have the ability to withstand stress, so the overall atmosphere of answering questions Not bad, only a few people like Wen Zhiliang were really affected and panicked.

Cai Jiansen walked towards Ning Qingyun and Qin Ke's position at the end.

Before he got close, he saw that both of them were answering, which surprised him a little.

After all, Ning Qingyun is a super student who is number one in mathematics, and she can still do the first one. Could it be that Qin Ke next to him secretly copied her answer?

Cai Jiansen saw that Qin Ke really glanced at Ning Qingyun's paper next to him, and immediately sneered in his heart. He quickly stepped forward to grab a positive shape, but when he approached, he was about to open his mouth and took the opportunity to humiliate Old Zheng severely, but his mouth He was startled halfway through.

Because he suddenly discovered that this boy named Qin Ke had almost finished the proof process of the second geometry proof question.

Is there a mistake, so fast?
It's been less than 15 minutes, right?

He rubbed his eyes, that's right, this guy is really doing the second question!

It must have been copied by Ning Qingyun next to him!The most obvious evidence is that this guy doesn't use scratch paper at all!And it was written directly on the test paper!

Cai Jiansen hurriedly turned his head to look at Ning Qingyun, and saw that she was still trying to solve the first question on the draft paper, and the answer area on the test paper was blank!
This... There is no way to copy this!
Cai Jiansen froze for a moment, and then slowly opened his eyes wide in disbelief.

In other words, not only did this guy named Qin Ke not copy Ning Qingyun's answer, but he did it much faster than Ning Qingyun?
How can this be? !
You must know that the second geometry proof question is quite difficult!

"2. As shown in Figure 2, two equal circles ⊙O1 and ⊙O2 intersect at two points P and Q, O1 and O2 are not in the common part of the two circles, and the secant lines AB and CD pass through point P, and points A and C On ⊙O1, points B and D are on ⊙O2, and A, B, C and D are on both sides of PQ. Let M, N and O be the midpoints of AD, BC and PQ. Prove: M, N , O three points collinear."

Look at this topic, is there no way to start?
If you don't find out how to make the auxiliary line, it is simply a tiger biting a turtle, and there is no way to prove it!
Cai Jiansen, an experienced math teacher, had to ponder for almost an hour and wrote a whole page of nearly fifty lines of proof process before he could prove this question.

Can this student named Qin Ke complete it in just 15 minutes?Oh no, the time for him to complete the first question has to be deducted, which may only be 10 minutes or even less.

This... This is simply a fantasy!No way!
Even if the math geniuses from the Junior Class of Xiaguo University of Science and Technology were to solve this problem, they might not be able to solve the problem at such a speed!

(End of this chapter)