Scholar’s Advanced Technological System

The next day, in order to thank the sister Chen Xue who introduced herself to this part-time job, Lu Zhou decided to invite her to dinner.

However, on the question of whether to eat yellow pheasant or KFC, he was again in a tangled state.

Alas, he asked Liu Rui, another living person in the bedroom, for his opinion.

Liu Rui, who was in a black row with netizens, was sent back to the spring by the opposite side. At the moment, he was annoyed, did not listen carefully to Lu Zhou's question, and replied casually: Affordable! "

Then ...

Lu Zhou really invited.

At the snack street in front of the school, at the entrance of Shancheng Spicy Hot, Chen Yushan with a single pony tail was sitting opposite Lu Zhou, and his tongue was hot.

Although tears are coming out, Chen Yushan is still holding on, eating and asking: "How? My sister's math can still be saved?"

Is it so spicy?

Lu Zhou lost a fish ball in his mouth with a little confusion, chewing and said, "There is still a rescue ... probably? Anyway, I will try my best."

"Please, my sister, she ... In fact, my physics results were very good in junior high school, but then ... ah, ah, I'm so hot."

Lu Zhou silently handed her a glass of water and asked, "Later?"

After drinking the water in one sip, Chen Yushan spit out her tongue lovelyly, and then she calmed down and said, "Later ... my aunt and uncle's relationship had a problem, and the two of them were fighting for Mengqi's custody. I also don't Clear, anyway, now Meng Qi has been with my aunt for the time being. "

Lu Zhou nodded silently, saying nothing.

He doesn't want to care about the private affairs of others. In a sense, he is a very self-conscious person.

After eating hot and spicy food, Lu Zhou returned Sister Chen Xue along the way to the bedroom building, and then turned to the library. .

On the way to the library, he received two emails.

An email is from Mr. Liu about the feedback on that data modeling assignment.

Another e-mail was a reply from the journal "Modern Communications and Geographic Information Technology", which said that the payment fee had been charged to his bank card account, and a piece of 150 yuan, a total of 1350 yuan, please pay attention to check.

"..."

Nine articles of SCI are so much money. Sure enough, making missiles is not as good as fried poached eggs ...

Lu Zhou could not help feeling.

But it is not too much for more than one thousand dollars. Counting the three thousand dollars earned by the tutor yesterday, now he has more than seven thousand dollars in the card, and it is certainly enough to pay tuition.

Originally, he planned to drag and wait for one time before graduation, but now it seems to be unnecessary.

In the next few days, Lu Zhou's life is very regular. He stayed up late on Mondays and Fridays to explode his livery books. On Tuesdays and Thursdays, he used it to consolidate learning and preview courses in information technology, electronic engineering, biology, chemistry and other subjects. In addition, he did not leave the practice of mathematical modeling.

Sometimes he really feels that if he can really maintain this kind of good study habits, it will be sooner or later to become a tyrant even without systematic help.

不过 This process is only accelerated with the help of the system.

And it's like plugging in a rocket ...

On Saturday, Lu Zhou went to Ms. Yang's home as usual to tutor Han Mengqi in mathematics.

Maybe it was because of the last accident, or maybe some agreement was reached between mother and daughter. This time, Ms. Yang did not lock the door before going to work, but just told Lu Zhou to be optimistic about her daughter.

Facelessly watched his mother go out, Han Mengqi looked at Lu Zhou: "Then, let's start."

After speaking, she turned back to her room.

As Han Mengqi stepped into the room, Lu Zhou accidentally found out that she hadn't seen her for a week. This time she cleaned up the room.

There was no extra communication. Han Mengqi spread the book on the table, turned to the page with the corners, and looked at Lu Zhou.

"According to the outline you gave me, I have seen the analytic geometry of Compulsory Two ... then what?"

然后 "Then?" Lu Zhou raised his eyebrows and asked with a smile, "What do you not understand first?"

"Nothing I don't understand, it feels very simple." Han Mengqi raised her small head, impatient, "What then?"

"Then I will test you," Lu Zhou took an A4 sheet of paper from the side and wrote on it with a pen.

[In the rectangular coordinate system xoy, the left and right focal points of the ellipse C1: x2 / a2 + y2 / b2 = 1 (a> b> 0) are F1 and F2, respectively. Among them, F2 is also the focus of parabola C2: y2 = 4x, point M is the intersection of C1 and C2 in the first quadrant, and | MF2 | = 5/3. Find the equation for C1. 】

After writing this question, Lu Zhou made a gesture of please.

梦 Han Mengqi's eyebrows jumped slightly, and she just said something big, she did not expect Lu Zhou to test her on the spot.

Gritting her teeth, she picked up her pen and thought about the draft paper for a long time.

Ten minutes passed, and only the first step was solved.

which is--

[From C2: y2 = 4x, F2 (1, 0). 】

After waiting for about ten minutes, Lu Zhou looked at his watch and smiled and said, "In the college entrance examination, you are only allowed to think about one question for ten minutes at most. Looking at it, you can only get at most this question Three points. "

"唔 ..." Han Mengqi gritted her teeth and looked unconvinced. However, this is the way to solve the problem. Sometimes the more urgent you are, the more you can't solve it.

Lu Zhou smiled, turned out a paper from the pile of materials next to him, pointed to the position of the penultimate question, and continued: "And the most important thing is that you are on this paper Missed."

"... you bully me." Han Mengqi dropped her pen and stared angrily at the landing boat. "I know I'm stupid."

"I was just teaching you, and I never said you were stupid. On the contrary, I am very optimistic about your cleverness, so please don't be arrogant." Lu Zhou picked up the pen she left behind and wrote the rest on A4 paper "The key to this kind of problem is to determine the value of M, so the second step must be set M (x1, y1), and according to | MF2 | = 5/3, and M2 on the parabola C2 these two questions to do Conditions to solve ... "

"Our second goal is to find the semi-focal length of the ellipse C1. After solving this step, the remaining problems become the problem of understanding the equations."

Lu Zhou wrote the key of each step on the paper and clarified the idea of ​​solving the problem.

At first Han Mengqi was impatient, but then he stared at the paper gradually.

In the end, there was a hint of enlightenment on her face.

Han Mengqi with a small mouth twitching slightly, staring intently at the draft paper, frowned, and nodded thoughtfully: "So it is ..."

"Your teacher must have said it, but you haven't heard it at all."

"Our teacher ... is not as detailed as you." Han Mengqi whispered in a reluctant tone.

舟 Lu Zhoule was happy: "You might as well tell this to your math teacher, let's see if I can anger him."

Han Mengqi's teeth were itchy, but he couldn't help but snorted.

"No wonder my sister said you, talking harshly ..."

Lu Zhou :? ? ?

Is someone talking badly behind me?

I ca n’t think I did n’t hear it.

Lu Zhou coughed and disconnected the topic. While picking up the pen, he said, "This question is a typical intersection ellipse equation problem. I believe that next time you encounter this type of problem, you can get at least half of the points. . "

"What's half the mark?" Han Mengqi asked with a tilted head.

"There are still half of the points on the second question. This kind of question is usually jointly examined with the vector question in the college entrance examination, so there will usually be a second question ..."

As he said, Lu Zhou continued to write after the question.

[Point N on the plane satisfies vector MN = vector MF1 + vector ~ www.wuxiaspot.com ~ line l 直线 MN, and C1 intersects two points A and B. If the vector OA * OB = 0, find the equation of line l. 】

The moment she saw the problem, Han Mengqi was completely aggressive and looked at Lu Zhou helplessly.

However, Lu Zhou didn't look at her, but sat beside the bed, picked up the exercise book aside, and looked for the next example.

"You try to do it first. If it doesn't work out, I'll teach you. Fifteen minutes. Let's get started."

Is even worse than the first question. This time Han Mengqi wrote only one solution word, and the rest of the things were right.

I don't know if it's because of a sister who is about the same size. Lu Zhou didn't feel impatient and didn't ridicule her as a "send sub-question", but explained to her the idea and process of the question patiently. .

Looking at the steps on the draft paper, Han Mengqi widened her eyes and whispered, "Well ..."

"The process of my learning is to constantly summarize, sum up experience from mistakes, I hope you find out the usual problems, it is best to copy it by hand, and then I will explain to you every week," Lu Zhoujiang Bie also gave Han Mengqi, casually saying, "The wrong questions are necessary for studying mathematics and even all sciences. If you want to learn science well, you must prepare. Just like ADC when you go out with Dolan, and you need to bring eyes, it is basic operating."

As soon as Han Mengqi's eyes lighted up, he immediately got interested and interjected: "You also play 撸 撸 撸? Which district? My nanny thief 6!"

"……blackberries."

"I add your friends! Give me your Q number ... oh!"

Lu Zhou reached out and knocked on her forehead. Looking at her covering her forehead, she said angrily: "Still playing games, wait until you get 100 points in this month's math exam!"