I Just Want to Be a Quiet Top Student

I don't have much time to ask questions, because the college entrance examination is still in progress.

After the Chinese test in the morning, Shen Qi and his parents went home directly. After some adjustments and rest, he had to take another test in the afternoon. There are two exams tomorrow.

Shen Qi didn't know where his classmates were taking the college entrance examination, which middle school and which classroom they were in?

Shen Qi hoped that Chen Xiaoting and Gu Xiaodan could get the ideal scores in the test. He will never contact them these two days, he will not contact anyone, the phone has been turned off, and it will be turned off for two consecutive days.

It can be said that Shen Qi devoted all his strength to the college entrance examination, not for anything else, but to make a miracle with great effort. Who asked me to have a strange word in my name.

At three o'clock in the afternoon, the second subject of the college entrance examination began.

Compared with Chinese, the second college entrance examination subject has no pressure on Shen Qi.

The second test is mathematics.

The question types of mathematics are not as complicated as that of Chinese. There are three types of questions, multiple choice questions, fill in the blank questions, and short answer questions.

The full score for Chinese, Mathematics, and English is 150, and the full score for Science and Literature/Comprehension is 300. Shen Qi and the others follow this model for the college entrance examination.

Set, arithmetic sequence, three-dimensional geometry three-view, program block diagram, induction formula, trigonometric function image transformation... 12 multiple-choice questions are not even considered pediatrics for Shen Qi, and he solves a multiple-choice question in an average of 20 seconds.

After all, it is the college entrance examination, so be cautious and cautious.

In normal times, Shen Qi could solve a problem in 10 seconds.

It took a little over four minutes for Shen Qi to complete all the multiple-choice questions.

Fill-in-the-blank questions are equally vulnerable.

The operation of plane vectors, the application of linear programming, the properties of hyperbolas, the volume of geometry...they cannot escape the fate of being destroyed.

Shen Qi completed the four fill-in-the-blank questions in 3 minutes, and did some simple calculations on the scratch paper.

Within 8 minutes, Shen Qi solved the multiple-choice and fill-in-the-blank questions.

The highlight of the college entrance examination mathematics test paper is of course the short answer questions.

Short answer questions are generally divided into calculation questions and proof questions.

No matter if it is a calculation question or a proof question, for Shen Qi, it is a bonus question.

Short Answer Question 1:

"The known function f(x)=-x^2+ax+4, g(x)=|x+1|+|x-1|."

"(1) When a=1, find the solution set of the inequality f(x)≥g(x);"

"(2) If the solution set of f(x)≥g(x) contains [-1, 1], find the value range of a."

12 points for this question.

"These sub-questions have no technical content."

Shen Qi didn't even have a chance to make a draft, so he solved it directly on the test paper.

Very quickly, he solves the solution set of f(x)≥g(x) as:

{x|-1≤x≤-1+√【17】/2}

(√【】indicates the root sign, for example, √【17】 means there is a 17 under the root sign, the same below)

The first question is solved in this way, it is not as compelling as a fill-in-the-blank question, at least the last question of the fill-in-the-blank question is more difficult than it.

The second question continues to send points.

Shen Qi quickly found out that the value range of a is [-1, 1].

What do you mean, are the two questions of the first short answer question 12 points for free?

The knowledge points used are nothing more than the absolute value of the partition interval, solving the inequality separately, taking the union as the solution set of the original inequality...etc. The most basic high school mathematics knowledge.

The next few short-answer questions are the mathematical expectation of the normal distribution, the positional relationship between the straight line and the conic section, the parameter equation...

Send points, send points, continue to send points.

More than 20 minutes passed, and Shen Qi completed the question with 136 points.

Shen Qi didn't use any super-class knowledge, and he acted as if he was bullying elementary school students, which shows the simplicity of this college entrance examination math test paper.

"What the hell, is it possible for an individual to pass the test above 140?" Shen Qi was speechless. If mathematics is so simple, is it still called mathematics?

After the test, the CMO and IMO are still enjoyable, and that battlefield is the battlefield of real men.

"The most boring subject in the college entrance examination is mathematics."

Shen Qi was very disappointed, especially sad, and even about to lose the last trace of passion.

But there is no way, this is the college entrance examination, Shen Qi must continue to be bored and complete the math test papers.

The last finale question is a function question, 14 points.

Generally speaking, the last question in the provincial mathematics examination paper is the most difficult.

"Finale, please don't let me continue to be disappointed. The entire math test paper is so low. Even if I get a perfect score, what is the essential difference from other candidates?"

"The finale essay in Chinese still has some finale temperament, and you, mathematics, my main talent, don't let me be disappointed and disappointed in you." Shen Qi began to review the questions carefully, the finale function question.

The title of the last question is:

"The known function f(x)=1/√[1+x]+1/√[1+a]+√[ax/ax+8], x∈(0, +∞)."

At this point in the interrogation, Shen Qi's heart was shattered, he was useless, he was no longer a chieftain.

Looking at the title, you know it's not a good bird.

A proper weak chicken.

It was so simple that Shen Qi wanted to cry.

The first question is: When a=8, find the monotone interval of f(x).

"As expected, as expected..." Shen Qi felt cool.

Interesting, funny, the easiest mathematics test paper for the college entrance examination in history is freshly released.

Everyone can get full marks, don't miss it if you pass by.

Heartbroken and disappointed, Shen Qi solved the first question of the math finale:

When a=8, f(x)=(1+√【x】/√【1+x】)+1/3

Find: f'(x)=1-√【x】/2√【x(1+x)】

So when x∈(0,1], f'(x)≥0;

When x ∈ [1, +∞), f'(x) ≤ 0

So f(x) is monotonically increasing in (0, 1] and monotonically decreasing in [1, +∞).

The knowledge points investigated in this question are very basic, that is, the nature and application of functions, as well as the solution and application of inequalities.

"I want to cry, I really want to cry." Shen Qi was frowning, the questions on May 3 were for nothing, my math book was for nothing, it was fake, all of them were fake.

If you do this kind of low question, just ask if you cry or not?

You probably won't cry, and maybe even a little bit like laughing.

But the IMO champion almost burst into tears, but fortunately Shen Qi restrained it with strong willpower.

Shen Qi was so disappointed by this math test paper for the college entrance examination. The first question of the final question scored 6 points, let alone me, even Chen Xiaoting could easily handle it. Chen Xiaoting might even get a full score.

"Hehehe..." Shen Qi smiled inexplicably, with bitterness in his smile.

The invigilator was taken aback, it was over, it was over, and one of the exams went crazy, which was obviously neurotic.

This kind of thing is not uncommon in the examination room of the college entrance examination.

Hey, that's not right, the examinee with the test number 1010XXXX, whose name is Shen Qi, looks a little familiar, isn't he the Olympiad champion?

Mathematical Olympiad champions are all fooled by the test?

This math test paper is too difficult!

The invigilator continued to pay attention to Shen Qi's activities.

"Huh..." Shen Qi took a deep breath and had to calm himself down.

Fortunately, the second question of the finale made Shen Qi a little happier.

The second question is: For any positive number a, prove: 1\u003cf(x)\u003c2.

I don't know which professor came up with the second question. This method...is a bit like the tune of a number contest.

Shen Qi regrouped, and he entered the second question energetically, which is also the answer to the last question of this college entrance examination math paper...