Scholar’s Advanced Technological System

On the following day, in order to express gratitude to Chen Xuejie who introduced this part-time job to her, Lu Zhou decided to invite her to dinner.

However, he was entangled in the question of whether to eat yellow pheasant or eat KFC.

So he asked another living person in the bedroom - Liu Rui's opinion.

Liu Rui, who is opening a black row with netizens, was sent back to the spring by the opposite side. At this moment, he was bothered, and he did not listen carefully to the problem of Lu Zhou. He replied without a head: "Matango, cheap and Affordable!"

then……

Lu Zhou really invited.

At the entrance of the school, the snack street, Shancheng Mala Tang's doorway, Chen Yushan, with a single ponytail, sat across the boat and was soaked out of the tongue.

Although the tears are coming out, Chen Yushan is still strong, while eating and asking: "How? Is my sister's math still saved?"

Is it so hot?

Lu Zhou lost a fish ball in his mouth and confused. He chewed and said, "Is there a rescue... Probably? In short, I will try my best."

"Then please, you, my sister, she... In fact, when I was in junior high school, my grades were very good, but later... ah, ah, I am so hot."

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

Drinking water in one bite, Chen Yushan spit out her tongue and sighed and said, "Later... my aunt and coward have a little problem. Two people are fighting for the custody of Mengqi. I don't know the specific situation. Clearly, in short, Meng Qi is now with my aunt."

Lu Zhou nodded silently, did not say anything.

He does not want to care about other people's private affairs. In a sense, he is a very self-conscious person.

After eating the spicy food, Lu Zhoushun sent Chen Xuejie back to the dormitory building, and then turned to the direction of the library. .

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

An email is Mr. Liu's feedback on the data modeling exercise.

Another e-mail is a reply from the journal "Modern Communications and Geographic Information Technology", indicating that the manuscript fee has been credited to his bank card account, a 150 yuan, a total of 1350 yuan, please pay attention to check.

"..."

Nine SCIs are so expensive, and it’s better to make missiles than to fry eggs...

Lu Zhou could not help but feel in his heart.

However, there are a lot of more than a thousand dollars. Counting the three thousand pieces earned by tutors yesterday, there are already more than 7,000 yuan in his card. It is enough to pay tuition.

Originally, he intended to drag, and wait for a one-time supplement before graduation, but now it seems to be no longer needed.

In the next few days, Lu Zhou’s life was very regular. On Monday and Wednesday, he blew his book, and on Tuesday, he used to consolidate his studies. He also preliminarily studied courses in information technology, electronic engineering, biology, and chemistry. In addition, he did not fall into the practice of mathematical modeling.

Sometimes he really thinks that if you can really maintain this kind of good study habits, even if you don't have the help of the system, it will be sooner or later to become a schoolmaster.

Only with the help of the system, this process has been accelerated.

And it’s like plugging in a rocket...

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

Perhaps because of the last accident, or perhaps a certain agreement between the mother and the daughter, this time, before she went to work, Ms. Yang did not lock the door, but she must be optimistic about her daughter.

With a blank expression, the mother left the door, and Han Mengqi looked at Lu Zhou: "That, let's get started."

When she finished, she turned back to her room.

As Han Mengqi's feet stepped into the room, Lu Zhou's accident was discovered, and she was not seen for a week. This time she was tidying up the room.

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

"According to the outline you gave me, I have already seen the analytic geometry of compulsory two... and then?"

"And then?" Lu Zhou's eyebrows picked and picked and smiled and asked, "Do you first say where you don't understand?"

"Nothing I don't understand, it feels very simple." Han Mengqi raised his small head and was impatient. "And then?"

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

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

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

Han Mengqi’s eyebrows jumped slightly, and she just said a big sentence. She did not expect Lu Zhou to test her on the spot.

Biting her teeth, she picked up the pen and thought about it for a long time.

The result has been ten minutes, and only the first step is solved.

which is--

[obtained by C2:y2=4x, F2(1,0). 】

After waiting for about ten minutes, Lu Zhou looked at the watch and smiled and said, "At the time of the college entrance examination, you are only allowed to think for ten minutes on a single question. Now, you can only get it at most. Three points."

"Hey..." Han Mengqi bit his teeth and looked dissatisfied. However, the solution is like this. Sometimes the more urgent you are, the more you can't solve it.

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

"...you bully me." Han Mengqi lost his pen and said in an angry manner, "I know I am stupid."

"I am just teaching you, and I have never said that you are stupid. On the contrary, I am very optimistic about your intelligence, so please don't be arrogant." Lu Zhou picked up the pen she dropped and wrote the rest on the A4 paper. The process, "the key to this 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 Conditional solution..."

"Our second goal is to find the half focal length of the ellipse C1, untie this step, and the rest of the questions become a matter of understanding the equations."

Lu Zhou wrote the key to each step on paper and clarified the ideas for solving the problem.

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

In the end, there was a glimpse of her face.

The small mouth slightly moved, Han Mengqi, who was staring at the draft paper intently, frowned, and thoughtfully said: "It turned out to be..."

"Your teacher must have said it, but you have never heard it."

"Our teacher... I didn't tell you in detail." Han Mengqi said in a reluctant manner.

Lu Zhoule: "You can say this to your math teacher, let me see if I can mad at him."

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

"No wonder my sister said you, talking very mean..."

Lu Zhou:? ? ?

Someone is saying bad things behind me?

I can't hear it.

Lu Zhou coughed, broke the topic, and picked up the pen while saying: "This question is a typical intersection point to solve the elliptic equation problem. I believe that the next time you encounter this type of question, you can at least get half of the points. ""

"There are still half of the points?" Han Mengqi asked with a sigh of relief.

"There is still half of the points in the second question. This kind of question is usually combined with the vector question in the college entrance examination, so there is usually a second question..."

As he said, Lu Zhou continued to write behind the stem.

[The point N on the plane satisfies the vector MN = vector MF1 + vector MF2, the line l ∥ MN, and C1 intersects two points A and B. If the vector OA * OB = 0, the equation of the straight line l is obtained. 】

At the moment of seeing the title, Han Mengqi was completely forced, and looked at Lu Zhou with helplessness.

However, Lu Zhou did not look at her, but sat at the bedside and picked up the exercise book on the side to find the next example.

"You try to do it first, I can't do it, I will teach you again, time is fifteen minutes, let's get started."

Worse than the first question, this time Han Mengqi only wrote a solution, and the rest of the things were not correct.

I don't know if it was because of a sister who was almost a big sister. Lu Zhou didn't feel very impatient, and did not ridicule her. She was also a "sent a sub-question", but patiently explained her ideas and processes. .

Looking at the steps on the draft paper, Han Mengqi widened his eyes and whispered: "It's amazing..."

"The process of my study is to sum up and sum up the experience from the mistakes. I hope that you will find out the questions that you would not normally find. It is best to copy them on the book yourself, and then I will explain it to you every week." Compared with Han Mengqi, he said casually, "The wrong question is to learn mathematics, even for all sciences. If you want to learn science, you must prepare. Just like ADC goes out with Dolan, the assistant has to take the eyes, it is basic. operating."

Han Mengqi’s eyes lit up and immediately came to the interest. He interjected: “You also play 撸 撸 撸? Which area? My nurse thief 6!”

"……blackberries."

"I add your friend! Give me your Q number... Hey!"

Lu Zhou reached out and knocked on her forehead. She looked at her forehead and said with a sigh of relief: "I still play games, wait for you to test the mathematics for 100 points this month!"