June 7, 2014.
China's annual college entrance examination has officially begun.
7:00 AM.
A cordon has been set up at the entrance of the Wanxi No. 1 Middle School examination site, and police cars are guarding the road outside the school.
During the college entrance examination, all vehicles passing through the examination area are prohibited from honking.
At this time, the private cars passing by have already reached a tacit understanding and are driving slowly, without any one driving in a hurry.
Everyone understands that these two days may very well determine a person's entire life.
And who doesn’t have children? Put yourself in their shoes and give your full cooperation.
As time approached, candidates arrived at the school gate one after another.
Some candidates waved goodbye to the parents who came to see them off. After entering the school, their parents were still stretching their heads to look inside the school.
As for Chen Zhou and the others, they were notified by Li Dabao last night.
7:30 in the morning, come down to have breakfast, 30 minutes breakfast time.
After eating, take a 10-minute break and go to the examination room on time at 8:10.
Don't be late.
At 8:20 in the morning, Li Dabao and a group of students arrived at the gate of Wanxi No. 1 Middle School.
I gave them two simple instructions: don't be nervous, make sure to read the questions carefully, don't rush while doing them, put aside the ones you don't know, etc.
About 5 minutes later, Li Dabao stopped talking and sent the students into the school.
Chen Zhou came to the outside of the examination room, put his backpack on the table outside the classroom, and entered the examination room with the necessary stationery.
At this moment, a trace of nervousness arose in Chen Zhou's heart.
After he came to his seat and sat down, he tilted his head slightly and looked out the window.
Looking at the lush and green poplar trees outside, Chen Zhou's mood gradually calmed down.
Sometimes, Chen Zhou was grateful that he could get a window seat during the exam.
Looking out the window before an exam is a great way to relax.
Ten minutes before the exam, the invigilator began to announce the exam room rules and some precautions.
Then the sealed file bag was displayed, opened and the test papers were distributed.
After getting the test paper, Chen Zhou first checked it to make sure there was no damage or unclear handwriting.
Then fill in your information on the test paper and wait silently for the command to start answering the questions.
Since he was not allowed to write any questions, Chen Zhou turned to the Chinese composition question.
First look at the topic, choose a good angle, and determine the theme, so that you can start writing directly.
This year's Chinese composition topic is a material-based composition.
Material-based composition is the most conventional way of setting questions in composition topics.
Chen Zhou read the material carefully, which talked about the differences of opinion between the actors and the screenwriter.
The actors said that they could change the script lines according to the actual situation. However, the screenwriters believed that the script was the foundation of a play and could not be changed at will, otherwise the words might not express the meaning.
After reading it, Chen Zhou thought about it and realized that there are so many aspects that can be written about this material, whether from the perspective of an actor or from the perspective of a screenwriter.
However, if you want to get high scores, you cannot think about the problem one-sidedly from only one angle. You need a dialectical and unified angle.
The actors in the material represent innovation, and the screenwriters represent inheritance. We can combine this with reality and talk about the relationship between cultural inheritance and innovation.
After thinking about these, Chen Zhou finalized the angle and purpose of this composition.
The time has come to 9:00, start answering the questions.
Chen Zhou looked over the composition materials again, and after making sure there were no problems, he began to write.
The college entrance examination has officially begun.
All the college entrance examination candidates began to write furiously, writing down the answers to the questions for their goals.
At this time, on the campus of Maochang High School, an old man was walking out of the vacant teaching building.
The old man held a piece of chalk and an eraser in his hands. With these two things, he had visited all the college entrance examination classes.
Every time he arrived at a classroom, he would walk to the blackboard at the back of the classroom, erase the "2" in "Countdown: 2 days" on the blackboard with an eraser, and then write "0" with the chalk in his hand.
After doing all this, I silently said: "Good luck on the college entrance examination, kids."
After that, he walked out of the classroom and went to the next classroom.
This old man with steady steps is Principal Zhu of Maochang High School.
The students went to Anhui XS District to prepare for the college entrance examination on the 5th, and no one kept track of the countdown anymore.
So, he took on this job and accompanied the students until the college entrance examination in this way.
In order to do this extra work and to ensure that the cheers of encouragement would not be too late before the start of the college entrance examination, Principal Zhu started shuttling between classrooms at 6:30 in the morning.
The Chinese language test was still going on. After finishing his composition, Chen Zhou had already finished the part where he had to supplement famous passages and famous quotes.
The requirement for this question is to choose one of the two questions A and B to answer.
Chen Zhou took a quick glance and chose Question A.
Question A is a classic passage from "Mencius: Gaozi Part 2", which almost everyone can recite.
“So when Heaven is about to confer a great responsibility on a man, it must first make his mind suffer, his muscles and bones tired, his body hungry and empty, and his actions frustrated. This is to stir his heart and harden his nature, and increase his ability to do what he was not able to do before.”
Chen Zhou first recited the answers silently in his mind, then wrote the answers on the original test paper, checked them again, and after confirming that there were no typos, he copied them on the answer sheet of the test paper.
Because if one word was wrong in any blank , he would lose points, so Chen Zhou was extremely careful when filling in the answer sheet.
Therefore, he solved the problems a little slower than before.
Fifteen minutes before the end of the Chinese exam, Chen Zhou checked it twice before standing up to hand in his paper.
During the lunch break, Chen Zhou, Zhang Yifan and Chen Haining maintained a good understanding and did not ask each other how the exam went.
Chen Zhou did not use the wrong question collection to estimate his score. He would decide everything after the exam.
The mathematics test started on time at 2:00 p.m.
Before the exam, when browsing the test paper, Chen Zhou felt that this test paper was okay.
Sure enough, last year, that is, after the exam paper in 2013 made all the candidates cry bitterly, they finally felt guilty.
After all, last year's test paper was set by a talented person, but this year the talented person will not be the one setting the questions.
However, as a sister paper to the 2013 paper, the talented person still came up with a very difficult final question, which is Question 21, in order to prove his existence.
The question is [Assume real number c＞0, integer p＞1, n∈N＊]
[(1) Proof: When x＞－1 and x≠0, (1＋x)^p＞1＋px]
[(2) The sequence {an} satisfies a1>c^(1/p), a(n+1)=[(p-1)/p]an+(c/p)an^(1-p). Proof: an＞a（n＋1）＞c^（1/p）】
After reading the question, Chen Zhou's first reaction was, isn't this advanced mathematics knowledge? Proof of the monotonicity and boundedness of a sequence? Isn't this beyond the scope?
After reading the question again, Chen Zhou analyzed that this question probably tests mathematical knowledge and methods such as functions, series, inequalities, analysis methods, and synthesis methods.
Chen Zhou first used the constructor method, derived it, and then used the monotonicity of the function to prove question (1), which is relatively simple.
But question (2)...
Chen Zhou thought for a while, checked the calculation on a scratch paper, and started from a(n+1)＞c^(1/p). Based on the given known conditions, he transformed the equation to be proved into an equivalent solution to solve the problem.
He did not choose to use his knowledge of advanced mathematics.
Soon, with his thoughts flowing, Chen Zhou proved that a(n+1)＞c^(1/p).
Then use the same method to transform an＞a(n＋1) and use the proven conclusion to prove it.
After completing all the calculations on the draft paper, Chen Zhou organized the steps and began to write them on the answer sheet.
"…In summary, an＞a（n＋1）＞c^（1/p）, and the original inequality is proved."
As he finished writing the last sentence, Chen Zhou completed the answer to the math test paper.