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Chapter 56 Preliminary Round

"It's almost six o'clock. Let's go outside to find a restaurant and let the students solve the dinner first."

After the two chatted for a while, Lin Guangqiang looked at the time, and then Fang Qiu said.

After saying that, the two of them left the hotel and went outside to find a hotel.

After finding a good restaurant and taking the classmates to dinner, when they returned to the hotel, Lin Guangqiang talked about some things about tomorrow's exam, so they returned to their respective rooms.

After returning to the room, Zhao Xiancai began to continue to do the questions.

My roommate who originally wanted to use his cell phone to find out how hard Zhao Xiancai worked so hard, and he didn't have the nerve to take out his cell phone.

"Didn't you finish all the competition test questions in the United States some time ago? Which country is it from this time?"

After seeing that the test paper that Zhao Xiancai was still in English, Ji Xinglei asked, "He is the classmate who lives in the same room as Zhao Xiancai."

“Canadian.”

Zhao Xiancai said without even looking back, and while he was speaking, his hands did not stop.

Seeing this, Ji Xinglei did not talk to Zhao Xiancai anymore. Instead, after reading the questions Zhao Xiancai was doing for a while, he left the room and went to find other classmates.

Since the exam will be taken tomorrow, Zhao Xiancai went to bed early tonight, and he finished the exam until more than ten o'clock, and then went to bed after exercising.

They woke up early the next morning and after breakfast in the hotel, they went to Yixiu No. 1 Middle School and started taking the exam.

The preliminary round exam time is from 9:00 to 11:30 in the morning, with a total of 150 minutes, 12 questions, 8 fill-in-the-blank questions, and 4 multiple-choice questions.

"1. The range of function f(x)=丨x 1丨丨x-1丨 √(4-x2) is...

2. The number of real roots of equation sin(2013nx)=x^2013 is...

3. Simplify sin12°sin45°sin54°=…

…”

After entering the examination room and after the paper was sent, Zhao Xiancai only did three fill-in-the-blank questions, and then he entered the state of "immersive learning".

In this state, with the blessing of the skill of [Study hard], Zhao Xiancai's problem-solving speed has also improved a lot compared to that in the general state.

As early as the summer vacation in August, the skill of [Study hard] was improved to LV4.

After this skill was upgraded to LV4, not only in the immersive learning state, Zhao Xiancai's intelligence attributes were generally improved from the original 20% to 50%.

Even the accumulated time required to upgrade to LV5 has become 10,000 hours.

If you use skill points to upgrade, it will cost 8 skill points, which happens to be all the skill points that Zhao Xiancai has now.

Most of Zhao Xiancai's intelligence is now 6.7, and 50% increase is 10.

In the system division, above 9.0 is a genius, and at this time Zhao Xiancai is already a genius.

The intelligence that is temporarily improved through skills does not always exist, and it is more suitable for solving temporary problems.

For example, under the blessing of skills, Zhao Xiancai, whose intellectual attributes have exceeded 10, memorizes an ancient article similar to the role model of the master. He may read it once or twice and recite it very smoothly.

But even if he memorized it at that time, if he lost the blessing of his skills, he would no longer be in an immersive state of learning.

Then Zhao Xiancai still cannot memorize this ancient text.

Mathematics is different. A problem may not be solved in a normal state, but in an immersive learning state, he may be able to solve it with intellectual bonus.

Then, even if he is out of this state, he can still solve this problem.

Because the solution to this problem is already available, after leaving this state, he has a reference answer and can naturally solve it.

Therefore, Zhao Xiancai felt that there was no need for him to spend his skills to improve his skills for the time being.

It is better to keep the skill points he has finally saved for the time being.

Isn't it just ten thousand hours?

If you calculate based on the immersive learning time of 10 hours a day, it will be upgraded to LV5 in less than three years.

It’s only three years, but Zhao Xiancai hasn’t even reached 20 in three years.

Next, it took less than ten minutes before Zhao Xiancai completed the remaining five fill-in-the-blank questions.

"9. The ground side length of the regular triangular pyramid is 1 and the side edge length is 2. Find its volume and radius of the incision spherical sphere.

Solution: The height h of the pyramid = √(2^2-(1/√3)^2)=√(11/3), volume v=1/3*√3/4*h=√11/12.

The surface area of ​​the pyramid is S=√3/4 3√15/4, so the radius of the incision spherical r=3V/S=√11/(√3 √15).

10. Find all functions f:R→R, so that any x and y have f(x y)=f(x) f(y) 2xy and..."

The first two questions of the last four answers are also very simple. Questions 9 and 10 include the time to read the question. Zhao Xiancai wrote out the answer in less than a minute for each question.

Because with the support of skills, the intellectual attributes have been improved, and Zhao Xiancai's mental arithmetic ability has also increased to a great extent.

Take question ninth for example. When calculating question ninth, Zhao Xiancai didn’t even have to write on the draft paper.

Since it is a Mitsubishi cone, only using it to construct some three-dimensional figures of the triangular pyramid in your mind, Zhao Xiancai can know the conditions required to seek high h.

The length of the ground side is 1, and it is a regular triangle. It can naturally be concluded that the length of the other straight side of the right triangle with high h as the edge is 1/√3.

The question is given that the lateral edge length is 2. Can you directly use the Pythagorean theorem to find out this high h?

With h, the volume will naturally be easy to find.

Then find the surface area of ​​the pyramid, and then use the relationship between the radius of the pyramid incision ball and the volume of the pyramid, you can find the radius of the pyramid incision ball.

In fact, even if this question does not matter how much the volume is, it is just used as a fill-in-the-blank question, so that you can ask for the radius of the ball inward, Zhao Xiancai thinks it is nothing.

In this way, it is even simpler than the previous fill-in-the-blank questions.

Compared with questions 9 and 10, although the 11th question is still not difficult, it is still a bit cumbersome, mainly because it needs to be discussed separately.

However, despite this, Zhao Xiancai finished writing quickly.

Question 12 is the last question to answer the question and the last question on this test paper. It is a sequence of questions, which is somewhat difficult.

If Zhao Xiancai came to participate in this preliminary competition before the summer vacation, he might not be able to write this last question.

Even if you can write it out, it will probably take a lot of time.

But for Zhao Xiancai now, this question is just like that and it is still not difficult.

Finally, this 150-minute exam was held, and someone handed in advance when the exam was over 30 minutes.

Fortunately, this is not the college entrance examination, so you can’t hand in the college entrance examination so early.

During the college entrance examination, if you finish writing in more than 30 minutes, you feel that you have nothing to do and are bored, you can sit in your seat and sleep in a daze, but you just can't hand in the paper.

At the beginning, you can only hand in the paper half an hour in advance, and you cannot leave the test site immediately after handing in the paper. You must wait until the subject you are examining and the examination papers are counted correctly before you can leave.

However, this preliminary round is not as strict as the college entrance examination. You can leave after submitting the papers in advance.

Anyway, this is just a preliminary round. Even if you get the full score, it will have no effect except being able to participate in the league.

If you really cheat, you can cheat when you can participate in the league?

Can you cheat when attending a winter camp?
Chapter completed!
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