Chapter 221: The Terrifying Math Test Paper

This time, Su Mu did not submit the paper in advance.

After all, it's the last exam, and you have to respect your high school life at the end of the day.

After writing the essay, Su Mu read the test paper two or three times over and over again, and added some things that he felt were not perfect.

It wasn't until the bell rang for the last lesson that he put down his pen and paper satisfied.

Su Mu sighed slightly, when he was in the Olympiad training team, I am afraid that he was not as serious as he is now.

Because the paper was not submitted in advance.

So when Su Mu walked out of the examination room, there were already a lot of candidates around.

Some girls in the crowd recognized Su Mu, but they all consciously didn't bother him.

When Su Mu walked out of the school gate, Yan Xiaoke was already waiting with his parents to go out for lunch.

Yan Xiaoke seems to be in a good mood, and it seems that everyone is doing well in the language exam.

There was also a math test in the afternoon, and several parents tacitly did not ask the question of "how did they play", but told the two children to eat more at noon and face the math exam in the afternoon.

.....

Three o'clock in the afternoon.

The math exam has officially begun.

The invigilator read out the discipline on the podium as usual, and many candidates in the audience were already sweating nervously.

For Su Mu, mathematics is the easiest subject.

And for more candidates, mathematics is a real ghost gate!

got the test paper, Su Mu swept the whole test paper as soon as possible.

This is his habit, sometimes after reading all the questions first, he will have a confidence in the whole picture of the test paper.

“emmmmm...”

Swept the test papers.

Su Mu fell silent.

It was hot, but he only felt a little cold in his heart.

He swears.

He really just wanted to take a look!

Moreover, he was ready to take the exam for 2 hours before the exam, and carefully studied every question on the test paper, without letting go of any loopholes!

However, just by glancing at it, Su Mu had already calculated 4 multiple-choice questions, 3 fill-in-the-blank questions, as well as the geometry behind it, and the idea of analytic questions.

I want to cry without tears.

????

Is it necessary to be that simple???

Didn't someone say before that this year's math college entrance examination would be particularly difficult??

There is no change at all in the routine of the multiple-choice questions in the college entrance examination, no matter how it changes, there are always a few things in the test.

Sets, sequences, induced formulas, vector operations.

Su Mu: "......"

Many students in the exam room were frowning and thinking.

But Su Mu found out.

I don't even have a chance to make a draft!

Thinking that he would have to face such a test paper all the time for the next two hours, Su Mu felt uncomfortable.

Finally, after a period of ideological disputes, Su Mu finally accepted this fact.

"Just take the test, it's too uncomfortable."

Although he really wants to take this college entrance examination seriously, which is claimed to be enough to change his fate.

But the strength is too strong, and it is already not at the same level as these candidates!!

Force yourself to look at such simple questions.

Su Mu felt that it was simply torture!

The morning language test is better, after all, many of the answers are subjective.

But mathematics, this fixed answer, he didn't even have a chance to fill in the gaps!!

Eight minutes and 14 seconds.

Su Mu completed all the multiple-choice answers and fill-in-the-blank answers, as well as all the detailed explanations of the previous three answers.

All the nervous emotions brewing before the exam are all gone in front of this math test paper.

Su Mu didn't even bother to check.

Glancing at the test paper uncomfortably.

All of them are given points.

There is no technical content in the delivery and distribution.

The second question of the conic curve problem is actually the range of values.

Su Mu really wanted to ask the examiner of this year's session.

Wouldn't his conscience hurt if he put the topic so simply? ?

You know, Su Mu also did last year's questions, although they are all simple topics.

But this year's math college entrance examination is simply the simplest of the simple!!

Su Mu was very desperate, and even about to lose the last trace of anticipation for the college entrance examination!

With grief.

Su Mu began to do the finale of this test paper.

"It is known that the function f(x) = 1 (root number [1+x]) + 1 (root number [1+a]) + root number [ax(ax+8), x belongs to zero to positive infinity."

"(1) When a=8, find the monotonic interval of f(x)."

"(2) For any positive number a, prove that 1

......

First question:

"When a=8, f(x)=(1+root[x])root[1+x]+13"

"Derivation f'(x)=1-√[x]2√[x(1+x)]^3"

"Therefore when x∈(0,1], f'(x)≥0"

"When x∈[1,+∞), f'(x)≤0"

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

This question examines a very basic derivation, and the difficulty lies in the dazzle of many people who look at the root number.

It may be a difficult point for others, but in Su Mu's eyes, it is completely a detachment...

Su Mu shook his head, he felt that such a description was not in line with the core values.

Second question:

"Huh?"

When answering the second question, Su Mu's spirit finally lifted up.

Because of this second question, it proved to be a little interesting, and it successfully caught his attention.

And this method of solving the problem is very similar to the style in the Olympiad, on the surface, it seems that it is only to prove 10, since f(x)=f(x)=1(root [1+x]) + 1 (root [1+a]) + root [ax(ax+8], there is f(x)=f(x)=1 (root [1+x]) + 1 (root [1+a]) + 1 root [1+8ax]."

"If b=8ax, then abx=8."

Su Mu first tried to bring in a value b, and then began to prove f(x)>1.

“......”

Half an hour.

It took half an hour.

Su Mucai filled a dense sheet of scratch paper.

Even he himself was a little surprised.

On such a simple college exam paper, there are questions that can make him spend nearly thirty minutes??

You must know that Su Mu only takes less than ten minutes for general competition questions, and this kind of thirty-minute analysis question is comparable to an IMO of medium difficulty!

This is called the Mathematics College Entrance Examination Difficulty Enhancement???

The front is ridiculously simple.

The last question is hard to get out of the sky?

Su Mu can indeed do it.

However, he is almost certain that there are definitely not many people in the country who can do this problem!!

This question, even if it is placed in the training camp, can be examined as regular training!

However, the college entrance examination mathematics is only two hours, and this question is only left for the candidates for twenty or thirty minutes.

Within this time limit, it can be quite difficult even for trainees! For ordinary candidates, this question is definitely a proposition.

The person who wrote the question is too weird!

Of course, Su Mu is still very satisfied.

After all, he did it anyway, and finally didn't let him waste two hours.

It has nothing to do with him whether other candidates will die or not.

"Wait."

After writing the test paper perfectly, Su Mu, who was complacent, was suddenly stunned.

He's cool.

But this question is so difficult, what if Yan Xiaoke can't get points?!

.....