Cheng Nuo lay on the bed and continued to hold the book of "Analytic Geometry" and watch.

Cheng Nuo's flipping speed is very fast.

He only got his hands on this book last night, and he just read it this afternoon.

It can be said that before this, Cheng Nuo had never understood or even knew the content of this book.

But in just half an hour, Cheng Nuo has read the entire analytic geometry.

The content inside, whether it is the coordinates and vectors of the plane, or the various curves in space, is all clear.

After each chapter, Cheng Nuo also chose a few questions at random.

How do you feel...... It's just that I don't feel it.

I just didn't feel anything, and the topic was made.

What else can Cheng Nuo do? He is also very helpless. There's no thrill of pushing the limits at all. After reading it, I fell into a boring state.

However, after all, the post-class questions are only the most basic questions used to consolidate knowledge points, and they are nothing.

Cheng Nuo believes that in the future in-depth study, there will be more interesting and wonderful topics.

Just when Cheng Nuo put down the textbook of "Analytic Geometry" and was about to get out of bed and ask Yuan Hua to go to the cafeteria to eat together, the little fat man and Maddie returned to the dormitory almost front and back.

"How are you two, why did you come back so late?" Cheng Nuo got up from the bed, held the head of the bed, and asked the two of them with interest.

"Hey!" the little fat man and Maddie looked at each other, and they both let out a long sigh. "Speaking of which, it's all tears!"

Under Cheng Nuo's questioning, the two finally told the ending of their respective stories.

After the little fat man annoyed the grumpy Senior Sister Chen Mo with that speech, he ran errands and handed tea in front of the roadshow booth. By the way, he performed a set of family massage skills on Senior Chen Mo's shoulder.

Awei eighteen style, all live without discount!

Chen Mo was instantly satisfied with the little fat man's massage technique, and immediately decided to include the little fat man in the piano club.

As for the main task, it is to serve tea and pour water for the seniors, and give a full set of massages by the way. When I'm bored, I have to chat with you.

What, disagree?!

Hahaha! This matter, you say you don't agree, can you disagree?

As a result, the little fat man was very honored to become a member of the Tsinghua Piano Club.

And on Maddie's side, the tragedy is no less than that of the little fat man.

Inexplicably, I found out that the senior sister I liked, oh, no, it's the senior! When the ** senior who dressed as Qiuyue Ellie turned out to be a well-known women's clothing boss on the rivers and lakes for a long time, Maddie almost desperately wanted to run.

But...... In front of a large number of women's clothing bosses, how could Maddie have a chance to escape.

Under the threat of the senior "Autumn Moon Ellie" in the name of indecent manners, Maddie signed a humiliating and humiliating contract with tears of humiliation. was forced to voluntarily join the Tsinghua cosplay club and lived a life under the same roof as a large number of women's clothing bosses.

............

“f(x，y)=0，g(x，y)=0。 For such a system of binary higher-order equations, if you want to require him to solve all the problems in the complex number domain, you can first consider f(x,y),g(x,y) as a polynomial of x, so that R(f,g)=(......^_^......^_^...... If (x1,y1) is a solution to a system of equations, then y1 is a root of R(f,g,...... It follows that if we want to solve a system of equations, we must first find all the roots of R(f,g)=0, then substitute these roots into the system of equations, and then find the value of x. ”

In the high generation class, Professor Liao stood on the podium and explained the third chapter of advanced algebra to everyone with his unique speed.

Today is Friday, and this is the third period of the week.

One big chapter in one class, Professor Liao's teaching speed is stable!

It also makes the students of the mathematics department miserable.

They had to read late every day to barely keep up with Professor Liao's speed. That feeling seems to make everyone go back to the time before the college entrance examination, which is quite sour.

However, they are still half-aware of some difficult knowledge points.

The third chapter of Advanced Algebra that Professor Liao is talking about today focuses on various problems and methods for solving systems of linear equations. The difficulty of the chapters has risen to a higher level than the previous two chapters.

It is not so easy for everyone in the mathematics department to understand.

Even Zhao Yang, who was in the first row, frowned the whole time when he listened to Professor Liao's lecture.

"Good. Professor Liao put the Gao Dai textbook on the lectern and opened the PPT, "That's all I want to say about the system of linear equations in Chapter 3. ”

"Now, let's take a look at a few practice problems and try to do them. It's still the old rule, and I'll ask my classmates to come up and tell you about these questions in a while. ”

On the PPT, three questions are displayed.

1. Find the Cartesian coordinate equation of x=t^2-t+1 and y=2t^2+t-3 forming the curve.

2. Let A and B satisfy the nth order square matrix on the number field K, and X is the unknown quantity x1 and x2,...... The n*1 order matrix formed by xn, the known homogeneous linear equations AX=0 and BX=0 have l and m linear independent solution vectors respectively, where 1 is greater than or equal to 0 and m is greater than or equal to 0.

(1) Prove that (AB)X=0 has at least max(l,m) linear independent solution vectors.

(2) If l+m is greater than n, it is proved that (A+B)X=0 must have a non-zero solution.

(3) If AX=0 and BX=0 have no common non-zero solution vectors, and l+m=n. It is proved that any vector α in K^n can be uniquely expressed as α=β+γ, and the γ are the solution vectors of AX=0 and BX=0 respectively, which are β here.

3. Knotting: ............

............

The difficulty of the three questions, which was not easy for the more than 30 mathematics students present at the podium, was not easy.

After all, they've only just finished this chapter. Although they did a pre-class preview, they also tried to do a few practice problems after class.

But the difficulty of the exercises after class, and the difficulty of these questions given by Professor Liao, can really be said to be trivial. Not at all on a level of difficulty.

Whew!

It was still a familiar scene, and everyone in the mathematics department was frowning deeply, calculating seriously on the scratch paper.

There was no noise in the entire classroom except for the rustle of the tip of the pen on the paper.

For the three questions, Professor Liao gave everyone in the Department of Mathematics 20 minutes to solve the problems.

Twenty minutes later......

"Can that student come up and give us the first question?" Mr. Liao stood on the podium and asked everyone with a smile.

Whew!

The first question is the easiest of the three.

As soon as Liao Zhixing's words fell, almost seven or eight hands were raised.

"Okay, just this classmate, you come up and give us your solution and ideas. By the way, what's your name?"

"Hello teacher, my name is Zhao Yang. Zhao Yang, who was sitting in the first row, stood up and said politely.

"Then classmate Zhao Yang, come up and talk about it. Professor Liao made a gesture of please and stood on the side of the podium with a smile on his face.

Zhao Yang strode onto the podium.