"First, we can write X and y as f (x) = T ^ 2-T + 1-x = 0 and G (x) = 2T ^ 2 + T -- y = 0, respectively."

"Then, (x, y) is made up of some T1..."

On the platform, Zhao Yang talked.

This problem, in short, is a binary system of higher order equations.

As long as the value of R (F, g) determinant is calculated by matrix operation, the correct answer can be obtained.

In addition to the computational complexity, the idea of what for the students of mathematics department, it is not very difficult to come up with.

"Therefore, the curve of this problem satisfies the equation 4x ^ 2-4xy + y ^ 2-23x + 7Y + 19 = 0!"

Zhao Yang wrote down his final calculation results on the blackboard. He looked at Liao Zhixing, who was standing on one side.

Liao Zhixing nodded his head with satisfaction and said, "it's very good. The thought and calculation result are correct."

Pa Pa Pa Pa Pa!

The students in the mathematics department applauded spontaneously.

Whoo!

Zhao Yang took a breath and patted his chest.

Finally I didn't disgrace the math department.

Thinking in this way, Zhao Yang glanced at the countdown with complacent eyes Liao Zhixing's attitude towards students is strict and harsh. However, he also knows that Zhao Yang can't solve this problem and is reasonable. Therefore, he did not criticize Zhao Yang too much.

Liao Zhixing nodded, "yes. The problem is really more difficult. Let's talk about the third question first. We'll come back to the second one later

Zhao Yang, who was granted amnesty, nodded, picked up the chalk on the desk just now and wrote the solution to the third problem on the blackboard.

First of all, let's turn the two formulas into f (x) and G (x), that is, f (x) =... "

It has to be said that Zhao Yang has a unique talent in mathematics.

Clear organization, smooth thinking, the whole problem-solving process, also rigorous and meticulous. At the beginning of the college entrance examination, Zhao Yang also got a high score of 146 points in mathematics.

If he is given a certain period of growth, he may become a man in charge of the whole department of mathematics in Tsinghua University.

Unfortunately He was born in the wrong era.

…………

"Not bad." Liao Zhixing took a look at the whole problem-solving steps written by Zhao Yang on the blackboard, and nodded with satisfaction, "the steps are very detailed, but there is no redundancy. If I were a marking teacher, I would give you full marks."

"But..." Zhao Yang's face just showed a touch of joy, but see Professor Liao's voice turn, "even if you get a full mark on this question, but the second question?"

"You won't be able to do the second question, so you get a zero on the second question." Professor Liao's tone became serious. "In this way, even if you can write a perfect answer to a question that you can't, it's better to make a question that you can't

Professor Liao started his preaching mode, "mathematics, students. Mathematics is one of the most important subjects in postgraduate entrance examination. Especially for the students of your mathematics department, mathematics is enough to determine the success or failure of your postgraduate entrance examination

"You can't Scribble about political problems, you can't copy and read English, you can't just write a solution to a math problem!"

The mute Zhao Yang, who was said by Liao Zhixing, stepped down from the platform and returned to his seat. At the same time, we must learn mathematics well!

Standing on the platform, Liao Zhixing took a sip of the water soaked in wolfberry and felt a warm current flowing to his spleen and kidney. He looked around the classroom and said with a kind smile, "who of you will come up and talk about the second question."

No response.

There was silence in the classroom, and the needle could be heard.

The students in the mathematics department lowered their heads one by one and did not dare to look into the eyes of Liao Zhixing.

No, not really!

What can they do? They are helpless! I can only lower my head and pretend it's none of my business.

"Why, nobody?" Liao Zhixing still has a smile on his face.

"Come on, that fat classmate Li xiurui. Can you do this?"

Li xiurui stood up from his seat with a black line, "teacher, I won't."

"What about Gu Yuan?"

"Teacher, I can't either."

"You students Liao Zhixing shakes his head helplessly and covers the thermos cup. His eyes fall on Cheng Nuo, who sits in the penultimate row and has been acting as a transparent person.

"Classmate Cheng Nuo?"

Thinking about what to eat for dinner today, Cheng Nuo gets up from his seat vaguely when he hears that he is called by Professor Liao.

At the same time, the eyes of the whole class also fell on Cheng Nuo.

For Cheng Nuo, who had been in class with them for nearly a week, people in the mathematics department still have deep resentment.Why?

Actually, Cheng Nuo is too unsophisticated. He is clearly a finance student. If he doesn't go to the finance department, he just comes to his math department.

If you want to run here, you can run here. We won't say anything.

But it's too much for you to take advantage of our math department in every class!

The first senior substitute class and the first several minute class were clearly the home of their mathematics department, but Cheng Nuo alone robbed them of the limelight of more than 30 people.

And yesterday, the first lesson.

When the professor of jiejie checked the preview results of the students, Cheng Nuo used the class time of many classes just like the class professor, and directly told the main knowledge points and key points of the whole textbook to the people of mathematics department.

At that time, this operation can be described as a stunned mathematics department.

Jieji's teacher, is also a big mouth, full of Leng for more than ten seconds, before slowing down God.

However, looking at Cheng Nuo's eyes, it is not like looking at an ordinary student.

Today's advanced substitute class made people in Mathematics Department feel more friendly that Cheng Nuo has been sitting in the corner of the back row, always in front of the transparent person.

I thought that this class was finally the performance time of their mathematics department, but I didn't expect that none of them would be able to solve the problems given by Professor Liao.

This is particularly embarrassing.

I want to, but I don't have enough strength.

This is the most tragic thing in the world.

Now professor Liao calls Cheng Nuo, meaning is no longer obvious. Then, they can only hope that Cheng Nuo doesn't know the solution to this problem.

"Classmate Cheng Nuo, have you worked out this problem? If you have done it, please come up and share it with the students." Professor Liao asked Cheng Nuo with a smile.

Under the gaze of more than 30 pairs of eyes, Cheng Nuo nodded.

Then the complexion hesitated to open his mouth, "do it out, do it out."

"But let me go up to the topic, so Not so good. "

"I am not a student in mathematics department. It is a great gift to sit here and accept Professor Liao's instruction with my classmates. As for such a sacred thing as giving lectures to students on the platform, I absolutely dare not expect it. "

Cheng nuo'ang raised his head with great righteousness. He was extremely reluctant to give up, but he had to part with pain.

"So, I decided to give this precious opportunity to the students in mathematics department! I believe they are more capable of doing this than I am. "

People in the Department of Mathematics:

I Fuck!

It's not very good to do this! Why didn't you say that when you went up for the first senior substitute class?!

Let's go. It's all like this. We'll do it. You don't have 13 numbers.

If we can do it, zaote will go up and pretend to be Er, cough, it's up to spread the light of wisdom, where can it be your turn!

Over there, Cheng Nuo looked at all his people and scratched his head. He was embarrassed and said, "what do you see me for? Although I admit that I'm good-looking, the key question now is to answer the question! Students, you go on! Don't waste the opportunity I gave you

Poof!

People spit out a mouthful of old blood!

This son This son can be so shameless!

It's just to refresh the three views of the mathematics department.

One after another full of resentment of the eyes, would like to Cheng Nuo on the ground to rape.

On the platform, Liao Zhixing also helped his forehead and waved to Cheng Nuo, "classmate Cheng Nuo, don't waste time. If you can, come up and talk to the students."

The first two classes have not been aware of, until now, Liao Zhixing found that this classmate Cheng Nuo, seems to be toxic ah!

"Is that not good?" Cheng Nuola long volume, facial expression euphemism implicit, a pair of to welcome but also refuse posture.

"That's good!" Liao Zhixing eyebrows straight jump, forced to suppress their own temper mouth.

"Teacher, I still think it's not good." Cheng Nuo is still shy to wait for the day.

"Don't talk nonsense, get on the topic for me Liao Zhixing's patience has reached a limit.

"In that case." Cheng Nuo is embracing his fist to the people around him, graceful and graceful, "then I'd better obey my orders and go up to talk about (Zhuang) topic (BI)"

Then, facing Liao Zhixing who was standing on the platform, he arched his hand and said, "thank you for your success. The disciple Ben Buyi, devoted himself to finance, devoted himself to the troubled times, and never sought knowledge of Tsinghua University. The teacher does not regard his disciples as despicable or obscene, but asks his disciples to stand on the platform. Disciple, I will live up to my teacher's high expectations

Liao Zhixing: "it's just

Well, now he's sure.

Cheng Nuo is really poisonous!

What's so meow is to talk about a topic on the podium. How can you make it seem like you want to divide the world.Cheng Nuo walked onto the platform empty handed.

Then, in the eyes of the whole class full of resentment, the topic will be explained.

"The solution to this problem is not very difficult to think of. First of all, when a is a symmetric matrix, if x ^ tax = 0, then there is a = 0. -X = (0,..., 1,..., 0) ^ t can get aii = 0, x = (0,..., 1,..., 1,..., 0) ^ t can get AIJ = Aji = 0... "

Cheng Nuo knocked on the blackboard, adding, "in this way, the proof process of the first question will come out. There are at least max (L, m) solutions for linearly independent vectors with (AB) x = 0. "

"Then, let's look at the second question. It's still very brief

Cheng Nuo, who has been familiar with the topic process, explains the topic quite fluently.

Cheng Nuo, who was standing on the platform, made people in the mathematics department an illusion that the person standing on the platform was not a student, but a real teacher.

After the second question, Cheng Nuo asked the third of the most difficult questions.

This question is really difficult, let Cheng Nuo have to take out the draft paper to calculate for more than ten seconds, to prove it. From this, we can see that Professor Liao's problem is quite good.

Cheng Nuo easily wrote down the steps to solve the problem on the blackboard.

"Let's first look at the given conditions, ax = 0, and BX = 0 have no common nonzero solution vector, and L + M = n, then R (a) + R (b) & n, then R (a), R (b) & n, therefore, homogeneous linear equations ax = 0, and BX = 0, must have non-zero solutions. And the basic solution system (vector group 1 and vector group 2) in non-zero solution are N-R (a) and N-R (b) solution vectors respectively, then... "

Three minutes later

"Therefore, it is easy to prove that β and γ are solution vectors of AX = 0 and BX = 0, respectively." Cheng Nuo throws the chalk head and claps the chalk ash on his hand to make the final conclusion. "Let's not look at this problem for such a long time, just think about it as complicated. In fact, it is a very basic topic. As a finance student, I can do it. You math students shouldn't be so bad. "

Under the stage, there was silence.

Perfect operation, show the whole scene.

People want to speak up, to refute Cheng Nuo, to say how powerful they are. In the end, they found that they had nothing to refute.

Cheng Nuo's words are reasonable. They have more than 30 students in the mathematics department, but they have been beaten by a finance student. Humiliation or secondary, mainly psychological frustration, has seriously affected their mentality in class.

At this time, the bell rang.

"Think about it."

Cheng Nuo left only one sentence, which made people fall into deep thought. Then he walked down the platform with a serious look, picked up his things, waved his sleeves, and left like an expert in the world.

Outside the hallway.

Cheng Nuo clapped his chest and whispered in his heart:

it's really exciting to run after loading!

www.mylovenovel.com , the fastest update of the webnovel!