June 7, 2014.

Huaguo's annual college entrance examination conference officially kicked off.

7:00 a.m.

At the entrance of the examination center of Wanxi No. 1 Middle School, a cordon has been set up, and there are already police cars guarding the road outside the school.

During the college entrance examination, all vehicles passing by the test area are prohibited from honking.

At this time, the private cars passing by already had a tacit understanding, and they all passed slowly, and none of them roared urgently.

Everyone understands that these two days are likely to decide a person's life.

And who has no children, will be heart-to-heart, and everyone will fully cooperate.

As the time approached, the candidates came to the school gate one after another.

Some of the candidates waved goodbye to the parents who came to take the test, and when they walked into the school, their parents were still sticking their heads out and looking inside the school.

As for Chen Zhou, they were notified by Li Dabiao last night.

7:30 a.m., down for breakfast, 30 minutes for breakfast.

After eating, take another 10-minute break and go to the exam room on time at 8:10.

Don't be late.

At 8:20 a.m., Li Dabiao arrived at the gate of Wanxi No. 1 Middle School with a group of students.

I briefly instructed two sentences, don't be nervous, be sure to read the topic clearly, don't be in a hurry to do the question, put it first if you can't, etc., etc.

After about 5 minutes, Li Dabiao stopped being verbose and sent the students to 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 appeared in Chen Zhou's heart.

He came to his seat and sat down, tilted his head slightly, and looked out the window.

Looking at the already lush poplars outside, Chen Zhou's mood gradually calmed down.

Sometimes, Chen Zhouting is glad that he can be assigned a window seat during the exam.

Looking out the window before an exam is a great option to soothe your mind.

10 minutes before the test, the invigilator begins to announce the discipline of the test room and some precautions.

Then the sealed file bag will be displayed, and the unpacking will begin, and the test papers will be distributed.

After getting the test paper, Chen Zhou first checked the paper to confirm whether the test paper was damaged or illegible.

Then fill in your information on the test paper and silently wait for the password to start answering.

When he couldn't use his pen to answer the questions, Chen Zhou turned the test paper to the Chinese composition question.

Let's take a look at the topic first, choose a good angle, determine the idea, and write it directly later.

This year's Chinese essay question is a material essay.

Material composition is the most decent way to write essay questions.

Chen Zhou carefully read this material and talked about the different opinions between the actors and the screenwriters.

The actor said that the lines of the script could be changed according to the actual situation. The screenwriter believes that the script is the foundation of a play and cannot be changed at will, otherwise the words may not reach the meaning.

After reading it, Chen Zhou thought about it, there are too many aspects that can be written about this material, whether it is from the perspective of an actor or a screenwriter.

However, if you want to get a high score, you can't think about the problem from one angle one-sidedly, you need a dialectical and unified perspective.

The actors in the materials represent innovation, and the screenwriters represent inheritance, which can be combined with reality to talk about the relationship between cultural inheritance and innovation.

After thinking about this, Chen Zhou finalized the angle and intention of this composition.

The time comes to 9:00, answer the questions, and start.

Chen Zhou read the composition materials again, and after making sure that there were no problems, he began to write.

The college entrance examination has officially begun.

All the college entrance examination candidates began to write hard and write the answers to the questions for their goals.

At this time, on the campus of Maochang High School, there was an old man who was coming out of the vacant teaching building.

The old man had a piece of chalk and a board eraser in his hand, and with these two things, he had already walked through all the college entrance examination classes.

Every time he went to a classroom, he walked to the back blackboard of the classroom, erased the "2" from the "Countdown: 2 Days" on the blackboard with a board eraser, and then wrote "0" with the chalk in his hand.

After doing this, I silently recited again: "Children, come on for the college entrance examination." ”

After that, I walked out of the classroom and moved on to the next classroom.

This steady-footed old man is none other than Principal Zhu of Maochang High School.

The students went to Anhui XS District on the 5th to prepare for the college entrance examination, and no one recorded the countdown.

Therefore, he undertook this job and accompanied the students to the college entrance examination in this way.

For this extra work, in order to cheer for the sound not later than the start time of the college entrance examination, Principal Zhu began to shuttle between the classrooms at 6:30 in the morning.

The Chinese exam continued, and after Chen Zhou finished writing the composition, he had already done the question of making up famous passages and sentences.

The requirement for this question is to choose one of the two questions A and B to answer.

Chen Zhou glanced at it briefly and chose Question A.

Question A is a classic passage in "Mencius: The Second Confession", and almost everyone can memorize it.

"Therefore, the heavens will descend on people, and they must first suffer their minds, strain their muscles and bones, starve their bodies and skins, empty their bodies, and act chaotically, so they are tempted to endure and benefit what they cannot. ”

Chen Zhou first read silently in his heart, then wrote the answer on the original question paper of the test paper, checked it again, and confirmed that there were no typos before copying it on the answer sheet of the test paper.

Because of the wrong word in each blank, the score will be gone, so Chen Zhou was extra serious when filling in the answer sheet.

Because of this, he is doing the questions a little slower than before.

Fifteen minutes before the end of the Chinese exam, Chen Zhou checked twice before getting up to hand in the paper.

During the lunch break, Chen Zhou, Zhang Yifan, and Chen Haining maintained a tacit understanding very well, and did not ask each other how they did in the test.

Chen Zhou didn't take the wrong question set to evaluate the score, and waited until the end of the test.

At 2:00 p.m., the math test starts on time.

Before the exam, when browsing the test papers, Chen Zhou felt that the test papers this time were okay.

Sure enough, last year, that is, the 13th year of the test paper, after all the candidates wept bitterly, they finally found out their conscience.

After all, last year's test paper was made by the bull, and this year it is not the bull who is the main proposition.

However, as a sister paper for 13 years, in order to swear to exist, the cattle still came up with a difficult finale question, that is, the 21st question.

The title is [Let the real number c>0, the 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 the knowledge of high numbers? The proof of the monotonicity and boundedness of the number series is beyond the program, right?

After reading the question again, Chen Zhou analyzed it, and this question probably examines mathematical knowledge and methods such as functions, sequences, inequalities, analysis methods, and synthesis methods.

Chen Zhou first used the method of constructor, and then used the monotonicity of the function to prove the sub-question (1), which is quite simple.

But the first (2) question...

Chen Zhou thought for a while, first checked the calculation on the scratch paper, started from a(n+1)>c^(1/p), and transformed the verification formula equivalently from the given known conditions to solve this problem.

He didn't choose to use advanced math knowledge.

Soon, the train of thought continued, and Chen Zhou proved a(n+1)>c^(1/p).

Then, in the same way, an>a(n+1) is converted and proved using the proven conclusions.

After all the calculations on the scratch paper were completed, Chen Zhou sorted out the steps and began to write them on the answer sheet.

“...... In summary, an>a(n+1)>c^(1/p), the original inequality is proven. ”

With the last sentence written, Chen Zhou completed the solution of the mathematics test paper.