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Chapter 68: Peking No. 4 Middle School is really poor!

 Life in school has become calmer. Yu Hua switches back and forth between the roles of teacher and student every day, teaching Fang Yu and Zhou Yuan how to draw pictures, tutoring Tan Qing in homework, and reporting to his roommates about portable lighting.

Regarding the situation of light sources, rich people Zhou Yuan and Liu Tao may not care about the profits earned from light source equipment, but not everyone is as rich as they are.

Yu Hua and the other roommates are still very concerned about the situation of portable lighting sources. Fortunately, although the popularity of the light source system in the school has dropped slightly, the number of students who come to the second and second dormitories every night has not decreased. Subsequently, Yu Hua accepted it one after another.

Placed an order for four light source systems at a unified price of NT$60.

Counting Fang Yu's three units and Zhang Wen's one unit, there are a total of 8 units, occupying nearly half of the total number of dormitories in the third grade.

This is good news.

The main supplier, Ji Han, also received good news. The accessories for portable lighting sources were basically purchased and had been placed in a temporarily rented room outside the school. Ji Han's father arranged for two guards to look after them.

I have to say that it is easy to enjoy the shade by leaning against a big tree.

A few days seemed to fly by and disappeared before you knew it. In the blink of an eye, it was the Lantern Festival. The Lantern Festival in 1937 was very ordinary. There were no activities held in the school and nothing was given away.

Well, if you expect schools that are so short of funds to distribute Lantern Festival gifts, it is better to do it yourself.

During the Lantern Festival, everyone deliberately put down their busy and intense study pace and held a temporary gathering. The powerful sponsors Zhou Yuan and Liu Tao bought different exquisite dishes from Dongxing Building and Taifeng Building respectively, and paired them with a

We spent the Lantern Festival together with a bottle of extremely rare Lafite red wine.

The Lafite red wine of this era was still stuck in the mud of the First World War and was at a low point in historical development. It was far inferior to other famous wineries in Europe, but in China, as long as the wine is stained with Western names, its value will soar.

It is a symbol of power and wealth.

However, for Yu Hua who does not know how to taste wine, any red wine is useless.

After drinking Lafite from 1937, Yu Hua could not taste any mysterious taste except that it tasted good. He could only lament that he had no talent in this area.

He is proficient in eating, drinking and having fun, and can talk about three to five articles on wine tasting, but he can't say anything except that it tastes good.

After the rare Lantern Festival, we relaxed our tense nerves. The next day, everyone in Erjiaer once again plunged into a tense and busy study state.

Now that you've relaxed, it's time to continue studying.

Everyone in Class 2A2 dare not forget their responsibilities and obligations as students.

The same is true for Yu Hua, who travels between the library, the canteen and the teaching building every day, living a standard three-point-one-line life, constantly absorbing knowledge and improving his scientific research level like a greedy and ferocious glutton.

However, human energy is limited. At the current high school stage, Yu Hua’s study route is mainly mathematics, supplemented by chemistry, and the remaining five subjects, including physics and biology, are subject to temporarily satisfying the National Tsinghua University’s independent admissions examination.

As time went by, not long after, the second weekend came.

Library, reading room on the second floor, old location.

Yu Hua sat on his seat with an upright posture, holding a pen in his right hand, and stared at the 1936 National Central University Independent Enrollment Examination Mathematics real test paper placed on the table. This was the real test paper he had just found from Lin Wan next door. The conditions were:

Helped with cooking twice.

Yu Hua agreed to this condition without hesitation. In this era, real test papers are extremely precious and there are few channels to obtain them, let alone the real test papers of National Central University.

However, due to the cost of printing test papers, schools rarely arrange for students to take mock exams. There is no such thing as the later days of one test every three days, one test every five days, and test papers taking turns on Saturdays and weekends.

Peiping No. 4 Middle School is really poor.

But the amazing thing is that the students in Peking No. 4 Middle School are really rich.

On weekdays, Mr. Luo Wenguang, a senior teacher, would spend his own money to print test papers. As a math teacher, he understands that math cannot be done by just looking at it. You must constantly do the questions. However, due to his limited personal ability, the class simulation

The number of exams is still limited.

In △ABC, if sinB+cosB=√2, what is the maximum value of sin2A/tanB+tanC.

Glancing at the question, there was no scrap paper. Yu Hua calculated directly in his mind, sketched the figure, and after a second, wrote down the answer without hesitation.

Answer:√2/2-1/2.

The question passes, next question.

In the plane rectangular coordinate system xOy, A and B are two points on circle C: (X-1)2+y2=1, and AB=√2. The coordinates of point P are (2,1), then 2|PA

What is the value range of →-PB→|?

[√5-√2,√5+√2]

It takes one second to review the question and two seconds to answer the question. The speed is simply faster than copying homework. The most important thing is that there is no need to waste scratch paper.

Nowadays, Yu Hua has done the real exam questions to the extent that he saves draft paper. He looks calm and quickly completes the questions one after another. The entire arithmetic real question paper is coming to an end soon. He looks at the last big question and carefully reviews it.

.

It is known that the sequence {an} satisfies an+2/an+1=2(n∈N*), and a1=1/2.

(1) Find the general formula of the sequence {an},

(1) Find the sum of the first n terms of the sequence {an} to be Sn, and verify: when N≥2, S2n-1-Sn-1>n-4/5.

This question is somewhat interesting.

The difficulty of the questions is almost the same as that of the final mathematics questions in later college entrance examinations. It seems that the person who asked the questions is an expert.

Yu Hua looked at the last big question, a smile finally appeared on his expressionless face. He carefully reviewed the question and thought about it in his mind. Ten seconds later.

Because a1=1/2, and an+1/an+1=2,…

Simply list the verification process, and then use mathematical induction, and soon the answer will be written out.

The general formula of the first question is an=n/n+1.

The second question is a complex and tedious verification process. The idea of ​​solving the problem is very simple. First prove that

Put it on and it's done.

I was thinking and writing, and after just a few minutes, I wrote out all the proofs for the second sub-question of the last big question, and the entire real test paper was completed.

"Huh... it should be right." After finishing the questions, Yu Hua took a deep breath, turned to the beginning of the test paper, and checked again.

Checking the test papers is a matter of attitude. Yu Hua will not tolerate himself making stupid mistakes that lead to loss of points.

Five minutes later, the entire real test paper was checked and Yu Hua confirmed that it was correct.

After laying out the test papers, Yu Hua took out the answers to the real test papers from his schoolbag and reviewed them one by one.

There are five multiple-choice questions in total, and the total score is ten points, all of which are correct.

There are ten fill-in-the-blank questions in total, with a total score of thirty points, all correct.

There are seven calculation questions, with a total score of 60, all correct.

The simulated results of the National Central University arithmetic test paper in 1936, with a score of 100.

Full marks.


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