Chapter 155: The Brave Wins (Two in One)
After taking the medicine, Xiao Ran let go of his breath for a while, and only after the discomfort subsided did he continue to answer the question.
At this point, he turned back to the first geometry problem.
No way, the last number question is more difficult, and it deserves to be the finale.
After turning back to the geometry problem, maybe the mentality was relaxed, maybe the body was getting better, this time under the full impact, Xiao Ran was inspired.
He inadvertently tried out two possible solutions.
One requires one inscribed circle and 6 line segments, and the other only needs 8 line segments.
Although the first auxiliary line drawing method was more cumbersome, Xiao Ran experimented and found that the proof steps were extremely simple.
At the very least, it's a lot simpler than the second method.
Seeing this, Xiao Ran decisively chose the first method of proof.
Sharpening knives does not mistake woodcutters, and hard work pays off.
It took Xiao Ran another 30 minutes to finally complete all the answers to this geometry question.
Looking at the test papers that had been written by himself, and looking at the dense auxiliary lines, Xiao Ran couldn't help but smile bitterly.
This geometry problem and the one I just tried can't be the same person.
I must have majored in geometry when I was in college!
Assi, it's so hard!
I don't know that the geometry questions in previous years were all given points!
It's okay now, it's so difficult to come up, and it's a mentality!
Because, according to convention, everyone will psychologically think that geometry problems are the least difficult and the easiest to score.
But now, Xiao Ran is sure that there will definitely be many people who will be stuck in this first question, and then their mentality will explode.
It can be said that the biggest pitfall in this second test is not the last finale question, but this geometry question.
Because everyone knows in their hearts, the last question must be very difficult.
It's not strange to get 0 points, it's normal to get three or five points, and it's lucky to get a dozen points.
They were all mentally prepared for this, but they were not prepared for the first question that was so difficult.
Thinking of this, Xiao Ran couldn't help but be a little worried.
Because, Su Su prepared for geometry and algebra the most during this time, but now it is ......
Alas, I wish the Susuji people had their own natural appearance!
Shake off these distractions in his mind as much as possible, and Xiao Ran is ready to challenge the ultimate boss of this exam.
Although two questions have been solved now, the province should be almost enough, but Xiao Ran knows that it is not enough.
Because, the second combination question is too simple, Xiao Ran is a little worried that this year will be seriously involuted.
So, in order to be sure, he had to finish this last question as much as possible.
[3. (50 points out of 50 in this question) The number series {an} is defined as follows, a1 is any positive integer, to the integer nā„1, a(n+1) and āa(i) are mutene,
and is not equal to a1...... The smallest positive integer of an, proving: each positive integer appears in the sequence [an}. ć
After reviewing the questions, Xiao Ran knew that this battle would be very tragic.
If you win, you can enter the provincial team, and even hit the first place in the province.
loses, but it is possible that he will be educated by Nie Feng's younger brother behind him.
Although Nie Feng seemed to be a little out of tune, Xiao Ran understood that his ability was really strong.
It is difficult to win Moutai from him.
But!
When you meet on a narrow road, the brave wins!
Although the last question is difficult and difficult, Xiao Ran has no way out.
I can only do it!
Just when Xiao Ran was about to fight a big battle, an old man walked in the No. 1 examination room.
The old man was not tall, with a slightly hunched back and silver hair, but he walked with a sonorous and energetic walk.
The moment this person walked into the examination room, Ma Siyuan found out, only to see him take a look, and then immediately got up to greet him.
But, before he could speak, the other party stopped him with a smile, and then walked around on his own.
Seeing this, Ma Siyuan naturally watched honestly, with a very restrained expression.
Because, the old man in front of him has always been his idol.
The old man's name is Liu Ya, he is a professor in the Department of Mathematics of Qilu University and the chairman of the Qilu Provincial Mathematical Society.
This year, he also served as the leader of the competition leading group of the Olympiad Qilu Division.
He is knowledgeable and has written many books, and it is not an exaggeration to say that he is the first person in mathematics in Qilu Province at present.
Seeing such a big man appear in the examination room he invigilated, Ma Siyuan was naturally a little scared.
Although he also knew that Teacher Liu Ya must be here for these candidates, this did not prevent Ma Siyuan from being excited.
Because, when he was in college, all the mathematics textbooks were written by Mr. Liu Ya.
It's easy to understand, it's all good books!
For this reason, he also deliberately applied for the research group of Professor Liu Ya during his graduate studies.
One word, value!
Liu Ya walked around the No. 1 exam room slowly, stopping from time to time to check the candidates' answers.
He came to this test center today to take a look at the situation of the candidates.
He wanted to see how everyone was doing in the exam, and whether there was any hope of getting rid of the hat that the Qilu Provincial Olympiad was not strong.
Yes, although Qilu Province is full of talents, and other discipline competitions are booming, the Olympiad mathematics competition has always been in a position that is not up or down.
Every year, it is overwhelmed by the magic capital, Beijing, Xiangbei, Zhejiang Province and other strong cities in the Olympiad.
In recent years, although some students from Qilu Province have broken into the national training team, they have not been shortlisted for the national team in the end.
This has been going on for several years and is a bit embarrassing.
A genius is needed to break the deadlock!
So, Liu Ya is here now, just to see a student.
That was Nie Feng.
Regarding the strength of the seeded players in the Qilu Provincial Olympiad, Liu Ya is naturally clear.
He reviewed the test papers of all the players who scored perfect in the preliminary round, checked their solution ideas, and combined with their past records, he finally decided that Nie Feng was the No. 1 seed.
In other words, Nie Feng is the one most likely to achieve his goal.
As far as he knows, Nie Fenggao easily won the provincial first prize in his first year, and he was only a few points away from entering the provincial team.
And the difference is a bit of a pity.
Because his last question was obviously the right solution, but he didn't have enough time to finish it.
Maybe just a minute away, he missed the provincial team.
Inexperienced!
Too much time wasted ahead!
After understanding the ins and outs of this series, Liu Ya felt pity, and he sincerely felt sorry for Nie Feng.
Of course, in his heart, he recognized Nie Feng's strength very much.
This is a math genius!
At the same time, he is also a geek with character.
Because, Liu Ya also heard that last year, many well-known domestic universities made crazy overtures to Nie Feng, and expressed their willingness to drop 60 points or reduce it to the first line to admit him.
Some universities even gave him a guaranteed place in order to grab him, including Qilu University.
This temptation is really hard to refuse, but Nie Feng refused.
He said he was going to fight again!
Because he thinks that he is not just a provincial level, he wants to prove it to himself.
For this reason, he was willing to give up the olive branches thrown by all universities.
At that time, after Liu Ya knew this, although he felt a little sorry for Qilu University, he sincerely wanted to praise Nie Feng in his heart.
For his courage, for his persistence, for his fighting spirit.
He believed that Nie Feng's persistence and efforts would not be in vain!
He also believed that after another year of special training in the Olympiad, Nie Feng's strength would definitely reach a higher level.
Not surprisingly, this year's provincial number one is none other than him!
Two minutes later, Liu Ya finally walked up to Nie Feng.
He glanced down casually, wanting to see how Nie Feng had answered.
Well, the first geometry question was answered well.
This geometry problem is arguably the most difficult geometry problem in recent years.
Nie Feng did okay with the auxiliary line this time, although it was a bit much, but overall it was not bad.
The traps that should be avoided have been avoided, and at a glance, there is no problem at all that this question should get a high score.
Next, there is the second question.
Well?
Why hasn't the second question been done yet?
Now there are only more than fifty minutes left, and with Nie Feng's strength, it stands to reason that this problem should have been solved a long time ago.
Because, in Liu Ya's heart, question 2 is the simplest, and even a little unworthy of the name.
As the leader of the competition committee of the Qilu Division, Liu Ya reviewed the test questions for the first time.
After reading it, he also had a ranking of the difficulty of the 3 questions this time.
The difficulty of the first question is about 4 stars, the difficulty of the second question is 3 stars, and the difficulty of the third question is 5 stars.
That is, 2<1<3.
Therefore, for an experienced candidate, the best order to do the questions in this second test is Question 2, Question 1, and finally Question 3.
But now, Nie Feng doesn't seem to have chosen so.
It seems that he did it exactly in the order of the papers, and I am afraid that there was a lot of delay in the first question just now.
Alas, why not learn the lessons of last year?
Liu Ya was secretly worried in his heart, he knew that Nie Feng had wasted too much time in front of him last year, and although he would be able to do the last question, he would not have time to do it.
However, the Olympiad exam is different from the past, and the order of the questions is very important.
If you blindly dwell on a question, you will not only feel tired, but also affect your mentality and emotions.
Although it may be possible to grind it out in the end, the time wasted is not worth the loss.
But the matter has come to this point, and Liu Ya is helpless.
Fortunately, Nie Feng's second question looks like it's almost over, so it's okay!
There should be about 50 minutes left when the time comes, so hopefully the last question will be solved smoothly.
In fact, Liu Ya also knew that there were still 50 minutes left, which was a lot, especially Nie Feng had solved the first two questions.
But maybe it's because of concern, maybe it's because of too much expectation, Liu Ya is not very satisfied with this.
He got ready to go out with his hands behind his back.
I watched it, and if I stayed any longer, it would affect Nie Feng's state.
But you can't leave right away, that would be a bit too deliberate.
So, he walked forward slowly, looking casually as he went, intending to take one look and leave.
However, when he saw Xiao Ran's test paper, his footsteps involuntarily stopped.
This candidate is faster than Nie Feng!
It's like I'm already working on the last problem.
So, Liu Ya suddenly became interested.
There are many candidates who do the questions quickly, but there are also two situations.
One is naturally invincible, while the other skips halfway or part of each question.
So, what kind of situation does this candidate belong to?
Liu Ya's eyes swept over Xiao Ran's answer sheet, from the bottom to the top.
Well, the combination problem is well solved, not a big problem.
Well, the solution of the geometry problem seems to be a bit complicated, and the auxiliary lines seem to be more than Nie Feng's.
No, then how can his proof process be so much less!
I guess there shouldn't be any problems.
Thinking like this, Liu Ya carefully looked at Xiao Ran's first question again.
After taking a look, Liu Ya was amazed in his heart, because he found that Xiao Ran's solution was impeccable.
Although it seems cumbersome, it just looks like it is much easier to prove that it is much easier than Nie Feng's solution.
Interesting!
This...... This candidate is good!
Liu Ya was even more interested, so he quietly glanced at the name on the desk.
Xiao Ran!
It's a familiar name.
After thinking about it for a while, Liu Ya finally remembered.
Isn't this the only full-score candidate in Caozhou City?
For the candidates in the Qilu Division this time, Liu Ya did a lot of homework, especially those candidates who scored full marks in the preliminary round.
Moreover, he was very impressed by Xiao Ran, because Xiao Ran's test papers in the preliminary round were answered very beautifully.
The key is that he also comes from Caozhou City, which is recognized as the weakest in the province!
In recent years, there are very few provincial ones, and no one has ever entered the provincial team!
In the past, Caozhou City was not a candidate who had no perfect score in the preliminary round.
However, these candidates of the Caozhou team who were amazing in the preliminary round were instantly dumb every time they encountered the semi-finals, and they could no longer get amazing scores.
Therefore, Caozhou City is also secretly nicknamed "Adou who can't be helped" in the circle.
Although Liu Ya was very satisfied with Xiao Ran's preliminary answers, he also wanted to treat everyone equally, but his expectations for Xiao Ran were still not so high.
Before the game, Liu Ya silently lined up the seeded players in the Qilu Division, thinking about those who might enter the provincial team.
In his ranking, Nie Feng naturally ranked first.
But the second place is not Xiao Ran, neither is the third place, nor is the top 10, because Xiao Ran did not enter his squad.
No way, the background is still very important.
There are often dark horses, but it is very rare to be black all the time.
But he didn't expect that this Xiao Ran in Caozhou City would be so dark this time!
Looking at this rhythm now, he is on par with Nie Feng.
Even, it looks a little faster.
Looking at the last problem of his calculus, it is obvious that he already has a preliminary idea.
It's not easy!
Liu Ya was amazed in his heart, and he silently glanced at Nie Feng who was immersed in the question at this time.
It's really interesting.
The two of them happened to be one after the other, and neither of them knew that the smoke of gunpowder had already ignited between them.
When you meet on a narrow road, the brave wins!
It seems that the battle for the top spot this time is on these two people!
Caozhou City is going to counterattack this year!
ā¦ā¦
Xiao Ran didn't know that at this time, there was a big guy standing next to him, sighing to himself, he was indulging in the last question and couldn't extricate himself.
The question of this question is still not long, and Xiao Ran quickly finished reviewing it.
But after the trial, he didn't immediately start the calculations at first, because he needed to calm down.
This question was extremely difficult for him, but his heart was a little excited.
He hadn't felt this way in a long time, and it was a special feeling of joy to see the hunter.
Some are uncomfortable, but some are happy.
It's like if you meet a beautiful girl, she is very cold and difficult to flirt, but you are very excited and have to chase her.
At first, you don't know her very well, so you can only make her happy by talking to her, make her close to you, and then let down your guard.
There are naturally many ways to pick up a conversation, and since you don't know the other person's preferences, you can only keep trying to see which one works and which one doesn't.
It takes trial and error, but thankfully, this pretty girl is very patient with you, and she is always waiting for you to talk to you in various ways.
Even if sometimes your accosting is clumsy and ineffective, she won't get angry and will still wait for you to come back.
Until, you managed to take her away!
Right now!
The last question is the beautiful girl, and Xiao Ran is the first male protagonist in the story.