I may be a pseudo-scholar

Chapter 49 Full Score!Full marks! (Thanks for the reward card!)
The contestants are all aloof swordsmen, holding swords and secret books. They want to ride alone to the end of the world, but on this road, countless people have been killed.Everyone is trying their best to get a chance to become famous. Among them, those who are tense and tense have just started the world, and they have already fallen off their horses and died amidst their own tension and anxiety.

The remaining calm people are mostly philosophers who lowered their heads and pondered, holding a precious sword, but they still refused to let it bloom its own brilliance.

It's not because the sword is not out of its sheath, but because the first question makes most people's cheats invalid!
The first question is an integral question.

计算三重积分∫∫∫x2+y2+z2∑（x3-x2y+xy+y2）dxdydz
It seems to be a very ordinary calculation problem, just to ask for a point, but it is not ordinary, the danger hidden behind, secretly showing its fangs.

Points are already considered high-level mathematics knowledge, and it can be counted as an incisor. How can I ask for triple points?This is definitely the top tooth of a woolly boar!

There was a chill in everyone's heart. The first question of this year is so difficult, I'm afraid...

Contrary to everyone's behavior, Bai Xue has already begun to write freely with his pen.In the advanced mathematics of Yanda version, there are special problems of integrals to find the method, among which is the solution of triple integrals.

In the two-hour exam, Bai Xue solved the first question in 10 minutes.

Bai Xue checked the calculation again and smiled slightly.

"Fifteen points."

The rustling sound of pen and paper rubbing against each other, as well as the wafting faint scent of ink, combined with the momentary frowning of the contestants, created a harmonious yet tense atmosphere.From time to time, the sound of turning the paper ripples in it, cutting through the atmosphere and breaking the rhythm, but it also returns to normal under the busyness of the pen tip.

While most of the contestants were still worrying about the first question, Bai Xue had already braved the wind and waves and marched forward to the second question.

Question 2: In the space Cartesian coordinate system, let S be an elliptical cylinder x2+2y1=[-], α is a plane in the space, and its intersection with S is a circle, find the normal vectors of all such planes.

The second problem is the problem of space geometry, also known as the problem of the space Cartesian coordinate system.

Among the monkey search questions, Bai Xue answered the largest number of geometry questions for middle and high school students, especially space geometry. So when this question was asked, Bai Xue only hesitated for 0.1s before starting Played a big knife.

"Because the plane and S can only intersect in a straight line or an empty set, the equation of the plane α can be set as..." Bai Xue muttered silently in his heart, but the sword in his hand didn't stop at all. All kinds of moves were vividly applied on the paper. After a while, the bottom of the answer sheet was covered with various knife marks.

"The third question..." Bai Xue took a deep breath, and when he was about to go on, he suddenly frowned.

"No...there seems to be something missing in this second question."

"I asked for three normal vectors about this plane, but that doesn't mean this plane has only three normal vectors..." Bai Xue suddenly realized something.

That's right!

"I still need to prove that there are only these three possibilities!"

With a swish, a row of fine beads of sweat appeared on Bai Xue's back.

"If you didn't think of this, I'm afraid you will be deducted half of the points!" Bai Xue was secretly grateful, and quickly wrote down the proof process in the few gaps.

This is the case with mathematics. It tests thinking and ability, but more importantly, it is rigorous.After getting a possible answer, you still need to prove that there are no other possibilities, so that you can perfectly solve a problem.

After Bai Xue finished the second question, he glanced around.Most people are solving the second question, but some people are still scratching their heads and have no clue about the first question.

Most of these people have racing hearts and insufficient energy. Their tension and anxiety make them unable to concentrate their will at all, and it is inevitable that they will not be able to solve the problem.

When Bai Xue was about to move forward bravely to conquer the third question, he suddenly encountered a stumbling block.

This is a number theory topic. At first glance, there are only a few lines of words, but it is just to prove something is true, but Bai Xue can see it clearly. On the brain of this topic, a mark of "Little BOSS" is vaguely marked.

Slashing the boss with a knife in the game is a very cool thing, and it is also a very cool thing to kick the boss away at work, but in the exam...

Bai Xue would rather encounter some simpler questions.

Bai Xue wiped the sweat from his forehead, and carefully searched for clues to solve the problem, not daring to take it lightly.

"You actually combined the knowledge of ellipse analytic geometry with number theory..." Bai Xue murmured, looking for a martial arts secret book suitable for this kind of problem in his mind.Rigidity is not advisable, wisdom is the kingly way.If he pushes it hard, with his solid calculation skills, Bai Xue believes that this question will be broken into pieces before the exam, but here, time is money.

Time passed minute by minute, but Bai Xue was still playing chess with it.

"No... This question seems to be a proof of number theory, but in fact, it is the idea of ​​analytic geometry!" Bai Xue mastered all kinds of martial arts secret books, and suddenly a flash of light came to his mind, and he discovered an astonishing fact.

"That's all." Bai Xue grinned, picked up the horizontal knife and swung Fang Qiu.Just 5 minutes passed, and the proof appeared vividly on the paper. After Bai Xue wrote the six big characters "this can be proved", he continued to move forward without looking back, leaving only the third question with a lonely back.

The fourth question was on the back. The rustling sound of Bai Xue flipping the paper was extremely ear-piercing in the entire examination room. Countless people followed him desperately.

Bai Xue, who cut three questions in a row in the mathematics examination room, has become more and more courageous with each battle. Less than 1 brain cells were abolished in the fourth and fifth questions, and he broke them one by one.

With one hour left, Bai Xue had reached the final checkpoint.

"Finally! It's the last moment!" Bai Xue took a deep breath. He didn't expect that the fourth question and the fifth question would go so smoothly. The solid geometry and Cauchy's inequality are like two big fools standing there waiting. Watching him attack, apart from rougher skin and thicker flesh, for him, there is no technique at all.

There is still one last step left!He believes that the error probability of the first few questions does not exceed 10%!

"Is it because the questions in this national competition are too easy? Or am I too careless?" Bai Xue didn't think too much, and put all his energy on the last question.He believed that as long as he could solve the last question, he would definitely get the full score!

Full marks!It is the yearning of every student participating in the math competition!

But how can the finale be easily conquered?

(End of this chapter)