Chapter 107: No pressure, even a little want to cry

There is not much time to ask questions because the college entrance examination is still going on.

After the Chinese test in the morning, Shen Qi and his parents went home directly, and after a little adjustment and rest, he had to take a test in the afternoon. There are two more exams tomorrow.

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

Shen Qi hopes that Chen Xiaoting and Gu Xiaodan can get the ideal scores, he will never contact them in the past two days, he will not contact anyone, the mobile phone has been turned off, and it will be turned off for two consecutive days.

It can be said that Shen Qi did his best to cope with the college entrance examination, not for anything else, just to vigorously produce miracles, who let me 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 subject is mathematics.

The types of questions in mathematics are not as complex as in Chinese, and there are three types of questions, multiple-choice questions, fill-in-the-blank questions, and short-answer questions.

The full score of Yushu and English is 150, and the full score of Lizong/Wenzong is 300, Shen Qi and their provinces take the college entrance examination according to this model.

Sets, Difference Series, Solid Geometry Three Views, Block Diagrams, Induction Formulas, Trigonometric Image Transformations...... 12 multiple-choice questions are not even pediatric 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 you must be cautious and cautious.

If you change the usual, Shen Qi can solve a problem in 10 seconds.

It took a little more than four minutes for Shen Qi to finish 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 devastated.

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

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

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

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

Whether it is a calculation question or a proof question, it is a scoring question for Shen Qi.

Short-answer question 1:

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

"(1)a=1, find the solution set of inequalities f(x)β‰₯g(x);

"(2) If the solution set of f(x)β‰₯g(x) contains [-1,1], find the range of values of a. ”

This question is worth 12 marks.

"These questions are sent to the score, and there is no technical content in the sending and distribution. ”

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 set of solutions for f(x)β‰₯g(x) as:

{x|-1≀x≀-1+βˆšγ€17】/2}

(√ [] indicates the root number, for example√ [17] means that there is a 17 under the root number, the same below)

The first question is solved, and it is not as strong 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 give points.

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

What do you say, are the two questions in the first short-answer question 12 points given away for nothing?

The knowledge points used are nothing more than to remove the absolute value from the interval, solve the inequality separately, and take the union set as the solution set of the original inequality...... and so on the most basic high school math knowledge.

The following short-answer questions are normal distribution to find mathematical expectations, the positional relationship between straight lines and conic curves, parametric equations, and ......

Send points and 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-curriculum knowledge, and he was also bullying elementary school students, which shows that this college entrance examination mathematics paper is a simple comparison.

"Is this special, a person can get above 140, right?" Shen Qi was speechless, if mathematics is so simple, is it still called mathematics?

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

"In the college entrance examination, the most boring subject is mathematics. ”

Shen Qi was very disappointed, very worried, 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 exam papers.

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

Generally speaking, the last question of the mathematics exam paper in the provinces of the country is the most difficult.

"Finale, please don't let me continue to be disappointed, the whole math exam paper is like this, even if I get a full score, what is the essential difference between other candidates?"

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

The question of the last question is:

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

At this point, Shen Qi's heart was cold, scrapped, and he was not a chief.

If you look at this question, you will know that it is 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 monotonic interval of f(x).

"Sure enough, sure enough, ......," Shen Qi felt cold.

Funny, funny, the easiest college entrance examination math paper in history has just been released.

Everyone can get a full score, don't miss it when you pass by.

Grief-stricken 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)]

Therefore, when x∈(0,1], f'(x)β‰₯0;

When x∈[1,+∞), f'(x)≀0

So f(x) increases monotonically in (0,1) and decreases monotonically in [1,+∞).

The knowledge points examined in this question are very basic, that is, the properties and applications of functions, as well as the solutions and applications of inequalities.

"I want to cry, I really want to cry. Shen Qi frowned sadly, those questions on May 3 were brushed in vain, and my math book was written in vain, fake, all fake.

If you do this kind of lo question, I will ask you if you cry?

You may not cry, and you may even want to laugh a little.

But the IMO champion almost cried out with a wow, but fortunately, Shen Qi relied on his strong willpower to endure it.

This college entrance examination mathematics paper is too chilling for Shen Qi, the first question of the finale, 6 points, don't talk about me, even Chen Xiaoting can easily handle it, Chen Xiaoting may not be able to get a full score.

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

The invigilator was taken aback, it was over, the test was crazy, and there was an obvious neurotic characteristic.

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

Hey, no, the candidate with the exam number 1010XXXX, his name is Shen Qi, he seems to be a little familiar, he won't be the Olympiad champion, right?

Are the Olympiad champions stupid?

This math exam paper is too difficult!

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

"Whew......" 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

The second question is that I don't know who taught it, this technique...... It's a bit like the modulation of the number competition.

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