My Xueba Life Simulator

Chapter 76
A week passed quickly, and there were 368 people in the whole school who signed up for the math competition, including 12 people from the math team and 356 people from the non-math team, including 116 people from mathematics and 252 from non-mathematics.

Among the 368 students, only 6 will be selected as student representatives to participate in the preliminary competition of the National College Students Math Competition in the province.

Gu Feng, Liu Tianming, Tian Jingrui, and most of the members of the data competition team were broken up and divided into various examination rooms.

There are a total of 8 examination rooms with 46 people in each examination room.

There are 4 invigilators in each examination room, which is stricter than the final examination.

These four invigilators are not masters who know how to fish, as if the four characters of dedication and love are written on their faces.

The examination room where Gu Feng was located had a lot of acquaintances. There were 4 students in the mathematics class, including Li Ruiwen, and a fat classmate Zhang Haibo, a teammate of the mathematics team.

Zhang Haibo blinked at Gu Feng, wiped the sweat off his brow again, flung it gorgeously, and flung it on the face of the classmate sitting behind him.

It has to be said that whoever sits around Zhang Haibo has to enjoy the irrigation of sweat.

Zhang Haibo, the fat man, was unkempt and carefree, smiling and saying sorry to the students behind him.

What he didn't expect was that the person sitting in the back row of him turned out to be a girl.

The girl showed a disgusted expression, took out a tissue and wiped it continuously, as if she had just been insulted by Zhang Haibo.

Zhang Haibo is a straight steel man, and he doesn't know how to coax his sister, so he simply turned around and waited for the exam to start.

"Old Li, are you here to participate in the trials?"

Gu Feng said to Li Ruiwen with a smile.

Li Ruiwen scratched his hair: "Professor Dong asked me to try, in fact, I was running with your math team."

"That's hard to say. If you do well in the exam this time, you can directly represent the school in the competition."

Gu Feng said casually.

Li Ruiwen shook his head: "God Gu, don't laugh at me, I'm just here to test the questions."

The exam bell rang, and the invigilator began to distribute the test papers.

The classroom became quiet, and the students were all sitting upright, ready to meet the next challenge.

The test papers are passed from the hands of the candidates in the first row to the back one by one.

After Gu Feng got the test papers, he started reviewing the questions. It lasted 150 minutes, with a full score of 100. There were a total of 6 questions, which completely simulated the rules of the math competition.

The first question is about European space.

Euclidean space, also known as Oude space, the attributive Ode originated from Odehe in ancient Greece. Oudehe refers to the dimension of the five axioms of Ode.

The five axioms (postulates) of Ou Depinghe are:

1. A straight line can be drawn from one point to another.

2. Any line segment can be extended into a straight line.

3. Given any line segment, you can use its endpoints as a circle, and use the line segment as a radius to make a circle.

4. All straights are equal.

5. If two straight lines intersect with a third straight line, and if the sum of the two straight lines is within the same side, then the two straight lines must intersect on this side.

Until the 19th century, the Swiss mathematician Ludwig Schläfli developed Oderpin He to three-dimensional and more dimensional He.

The concept of space was first used in mathematics in the ancient Greek period. At that time, space was an abstraction of the real physical world, and its properties were derived from Oderpinhe's axiom.

In modern mathematics, space is a collection of certain conditions, and mathematicians construct the structure they want with these conditions.For example, the first axiom of linear space is to construct a set that can be "'straightly' scaled and rotated".

Strict Euclidean space is an extension of affine space, that is, the concept of inner product is added to it.

Affine space can be understood as a linear space that does not specify the origin and has a translation transformation. With the inner product, the distance, length and degree are defined, and there is a measure. Therefore, the Euclidean space can be understood as adding a measure and translation Transformed linear space.

Generally speaking, the Euclidean space refers to the standard Euclidean space, that is, the Rn linear space with the vector inner product property that specifies the origin and the coordinate axes are orthogonal.

The difficulty of this question lies in the isomorphism and orthogonal transformation of Euclidean space and the orthogonal complement of subspace.

As long as you master these two knowledge points, you can solve it.

Of course, many people were also brought in by his winding questions, and did not discover the essence of this question.

Gu Feng has already started to work on the questions, while the others are still scratching their heads.

Zhang Haibo of the Data Competition Team is worthy of being a veteran, and he has already started to write.

The four invigilators began to patrol the examination room. They mainly wanted to create a high-pressure atmosphere, and they did not check whether the students were cheating.

It is impossible for people who come to participate in the data competition to cheat, because even cheating is meaningless.

In the real mathematics competition examination room, there are more than ten cameras in one examination room, shooting in all directions without dead ends, so there will be no room for you to cheat.

The four invigilators all knew Gu Feng. After all, he was a man who had written twenty papers. There were not many people in the school who did not know him.

From time to time, they stood behind Gu Feng, wanting to catch a glimpse of God Gu's demeanor.

I saw that Gu Feng wrote like a spirit, and his strokes were like flowing water. Rows of mathematical symbols danced and landed on the paper like elves rising from his pen. Every symbol was extremely precise.

Both the proof method and the calculation results are perfect.

The second question is about the content of the analytical geometry part. According to the equations of the plane and the straight line, determine the positional relationship between the plane and the plane, the straight line and the straight line, and the plane and the straight line.

For Gu Feng, this is a sub-question. It took 5 minutes to finish the writing process and continue to look at the third question.

The third question is a variant of the Seven Bridges of Königsberg.

In Königsberg, Prussia in the early 18th century, a river ran through it, and there were two small islands on the river, and seven bridges connected the two islands with the river bank.

Someone asked a question: How can a walker walk through seven bridges at a time without repetition or omission, and finally return to the starting point.

Later, the great mathematician Euler transformed it into a geometric problem-a stroke problem.

He not only solved this problem, but also gave the necessary and sufficient condition that a connected graph can be drawn in one stroke: the number of singularities is either 0 or 2.

(If the number of lines connected to a point is an odd number, it is called a singular point; if it is an even number of lines, it is called an even point. If you want to draw a stroke, all the middle points must be even points, that is, there must be another way out. , the singularity can only be at both ends, so any graph can be drawn in one stroke, and the singularity is either absent or at both ends)
This question is a bit difficult, Gu Feng thought for a full 10 minutes before he figured it out. Relying on his rich mathematical knowledge, he solved the problem and ensured that he got the 20 points.

The fourth question is to send sub-questions.

The fifth question is also a sub-question.

The sixth question is also a sub-question.

The overall difficulty is not too big, Gu Feng gave such an evaluation.

The same six questions have already injured the vast number of students in Sanchuan.

In their view, the first question is to send a proposition.

The second question, send the proposition.

The third question is to send the proposition.

The fourth question, send the proposition.

The fifth question, send the proposition.

The sixth question is to send the proposition.

A test paper is 100 points, all of which are propositions.

This greatly impacted their Dao heart in pursuit of mathematics.

Some students even broke their Dao heart on the spot and were carried out.

"Another exam failed."

The invigilator shook his head helplessly.

"Take it away, carry it away, what psychological quality, you have to face so many strong people in the whole country, and you can't live in the ICU directly?"

Professor Dong, who was in charge of the exam, found out that this was a student in the class, and he was furious.

　On the first day of the top score, the collection didn't feel much increased, and I was flustered, so I licked my face and pyed the big guys in the group.

　　py good book "Sister, shut up! "

　　
　
(End of this chapter)