Lao Zheng patted the table and said solemnly: "Quiet, now put away all the exercise books and books, put the schoolbag on the edge of the podium, leaving only the pen and ruler. The exam will start in three minutes! The exam lasts three hours! Count as many questions as you can do.

question!"

Teachers still have great authority. Although some students are dissatisfied, they dare not really stand up and speak back and object, so they quickly follow the instructions.

Then the classroom became a little chaotic.

Although Ning Qingyun did not need to participate in the selection test, she still organized her books, put them in her schoolbag along with the test paper folder that Qin Ke returned, and sent them to the podium.

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

Ning Qingyun nodded seriously: "There is no harm in practicing more."

The test papers were soon distributed and most students began to answer them.

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

"You have three hours to do this, and you can do as much as you can." After speaking, Lao Zheng went to the other three seeded contestants to hand out papers.

Qin Ke took a look and found that it seemed to be different from the selection paper being done in the front row. The selection paper had four questions, while the papers in his and Ning Qingyun's hands only had three questions, and they were obviously different questions.

"These questions..." Ning Qingyun muttered quietly.

"What is the problem?"

Ning Qingyun shook her head and said nothing. She just raised her pen and signaled Qin Ke to start answering the questions.

Qin Ke looked through the paper in his hand carefully and finally understood the meaning of Ning Qingyun's unfinished words just now.

These three questions are not as difficult as the municipal preliminary round...at least they are very close to the difficulty of the provincial semi-finals. The requirements for flexible application of mathematical knowledge and problem-solving skills are much higher.

Ning Qingyun also participated in the provincial competition last year. Although she did not rank among the top ten, she was still sensitive to the difficulty of the questions, so she was able to judge it.

"Why did the difficulty of the question suddenly increase? Forget it, the difficult part is difficult, it is interesting to do so." Qin Ke muttered in his heart, directly pressed the draft paper underneath as a pad, and began to "sharpen the pen to solve the difficult problem"

.

For Qin Ke, whose mathematics level had reached the "High School Mathematical Olympiad (provincial semi-finals) level" at this time, these three major problems had successfully aroused his interest. He picked up his brush and concentrated on solving the problems.

…

Cai Jiansen, deputy leader of the mathematics subject group in the second grade of high school, had already noticed Qin Ke.

Among the five seeded contestants who received special papers, the only one he didn't recognize was Qin Ke, so he naturally guessed his identity immediately.

Seeing that this kid's hair was messy, he had a sleepy look on his face, and he was wearing a school uniform that looked naughty, Cai Jiansen felt a little unhappy, not to mention that this student was the "proud disciple" of his arch-rival Zheng Jianzhou.

.

He snorted softly and walked over to see his disciple first, Wen Zhiliang from Class 7. Wen Zhiliang was a talented person with a correct learning attitude and top-notch math scores. He was second only to Ning Qingyun in the grade. He usually attended the Mathematical Olympiad training class.

The performance here is also outstanding.

If he hadn't participated in the Mathematical Olympiad last year due to physical reasons, Wen Zhiliang would most likely have finished in the top ten, so Cai Jiansen has high hopes for him.

At this time, seeing Wen Zhiliang still thinking about the first question, Cai Jiansen stood aside and watched for a while.

I don't know whether it was because the teacher was nervous standing nearby, or because this question, which was close to the level of the semi-finals, was really too difficult. Wen Zhiliang's forehead was sweating, and his hand holding the pen was shaking slightly, because he hadn't written down 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 lacking. He even made himself cry after failing the midterm exam last time.

However, he also knew the difficulty of these three big questions. These were the questions carefully selected by their eighteen high school mathematics teachers all night long. They were probably about the same difficulty as the high-pressure questions in this municipal preliminary round. Wen Zhiliang was temporarily

Unexpectedly, the entry point for solving the problem was also normal. After all, less than ten minutes had passed, and the total exam time was three hours.

Cai Jiansen also disturbed Wen Zhiliang. He moved his steps and looked at Liu Zihao and Huang Pei, the two high school sophomore and junior high school seed players. Seeing that they were also frowning and thinking about the first question, he felt a little relieved. At least others were also

If you haven't done it yet, your disciples haven't fallen behind yet.

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

With so many teachers "proctoring" the exam at one time, including the vice-principal, students with poor psychological quality may easily be nervous and collapse. Fortunately, most of the people who can participate in the training are at the top level and have the ability to withstand stress, so the overall atmosphere of answering questions is

It's not bad. Only Wen Zhiliang and a few others were really affected and panicked.

Cai Jiansen finally walked towards Ning Qingyun and Qin Ke's position.

Before he got closer, he saw both of them answering, which surprised him a little.

After all, Ning Qingyun is the top academic in mathematics and can still do the first question. Could it be that Qin Ke next to her secretly copied her answer?

When Cai Jiansen saw that Qin Ke had indeed glanced at Ning Qingyun's paper next to him, he sneered in his heart and quickly stepped forward to catch him. But as he approached, he was about to speak out and take the opportunity to humiliate Lao Zheng, but his mouth

Halfway through, he was shocked.

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

Is there any mistake, so fast?

It's only been less than fifteen minutes, right?

He rubbed his eyes, yes, this guy is really doing the second question!

The person who copied it must have copied it from Ning Qingyun next to him! The most obvious evidence is that this guy didn’t use scratch paper at all! And he wrote it directly on the paper!

Cai Jiansen hurriedly turned to look at Ning Qingyun and saw that she was still trying to solve the first question on the draft paper. The answer area on the test paper was completely blank!

This...there's no way to copy it!

Cai Jiansen was stunned for a moment, and then his eyes slowly opened wide in disbelief.

In other words, this guy named Qin Ke not only didn't copy Ning Qingyun's answer, but he also did it much faster than Ning Qingyun?

How can this be!?

It is quite difficult to know the second geometry proof question!

"2. As shown in Figure 2, two equal circles ⊙o1 and ⊙o2 intersect at two points p and q. Neither o1 nor o2 is in the common part of the two circles. Draw secants ab and cd 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. Verify: m, n

,oThree points are collinear.”

Looking at this topic, is it impossible to start?

If you don't figure out how to make auxiliary lines, it's basically like a tiger biting a turtle, and there's no way to prove it!

Even an experienced mathematics teacher like Cai Jiansen spent almost an hour thinking about it and wrote a whole page of nearly fifty lines of proof process before proving this question.

Can this student named Qin Ke complete it in just fifteen minutes? Oh no, you have to deduct the time he took to complete the first question, which may only be ten minutes, or even less.

This...this is simply a fantasy! Absolutely impossible!
Chapter completed!