100 in Physics and 150 in Mathematics.

Following the mid-term exams, Senior 2 (3) Ban Lanjie once again received perfect marks in the two subjects he was best at.

It must be paid enough attention to the fact that Lanjie is too biased.

99 in Chemistry, 98 in Biology, 133 in Chinese and 131 in English.

The scoring subjects of the second-year science class of Baiyang Middle School are language, mathematics, English, physics and chemistry, with 150 points for each of the first three subjects and 100 points for each of the last three subjects.

In the final exam of the first semester of the second semester of high school, Lan Jie's total score ranked first in the class and thirteenth in the whole grade.

"The sheep are really perverted, as powerful as my Ajie, and I can't kill the twelve perverts in front of me. Hey, hey, it's getting interesting. ”

Despite the setbacks, Ranger was particularly happy.

Dominating kindergarten, elementary and junior high school, crushing all his classmates, Rangier is bored, and even a little sad.

The pain of being cold in a high place is something that many people will never experience in their lifetime.

Lan Jie now has the opportunity to blow up the twelve perverts in front of him as the thirteenth humble identity of the whole grade, wow, super excited, super moved, and even a little impulsive.

Spring is in full bloom, and Lan Jie ushered in the second semester of his sophomore year of high school.

Jingle bells.

It's class, and this is a physics class.

Physics teacher & homeroom teacher Tang Xiaoyun's drawing tool is only a pink chalk, and she uses chalk to pull a straight line on the blackboard that is as straight as a ruler.

Piu~

PiuPiu！

Tang Xiaoyun poked three points on the straight line, the center of the circle O and the two endpoints A and B.

Hulala~

Tang Xiaoyun threw her arm past points A and B, and pulled out a standard circle with AB as the diameter.

This series of operations is completed in just three seconds, and it is smooth and smooth.

Because of the use of pen pressure skills, Tang Xiaoyun did not produce a little bit of excessive noise during the drawing process.

If a student hears the screeching noise of chalk rubbing against the blackboard, they will inevitably give a bad review.

"Wow, the magic of physics goes round and round!"

"Nine times nine days, one meter eight round!"

"The legendary straight line without instruments, throwing the arm and picking the big circle!"

"The power can be broken, but the strength is heavy but silent! Mr. Tang is full of details, and he loves it!"

The students of the second and third classes praised Tang Xiaoyun's status as a goddess further solidified.

"Don't love me, no result. Tang Xiaoyun slammed the blackboard, bang!

In the next second, Tang Xiaoyun wrote a question with extremely fast hand speed:

As shown in the figure, the disc with radius R is parallel to the horizontal plane and rotates at a uniform angular velocity ω around the vertical axis passing through the center of the disc O. The shooter at point A at the edge of the disc fires the bullet with a horizontal muzzle velocity v0 relative to the disk, and the target is the other end of the diameter AB, B. Assuming that the velocity of the bullet is much greater than the speed of the disc, and the angle of the disc is not affected by the firing of the bullet, ignoring the air resistance, let's ask: where should the shooter aim to hit the target? From the shooter's point of view, what is the trajectory of the bullet?

"There are two ways to solve this problem, the first is the conventional solution, and the second is the tricky solution, which uses calculus. The first solution is more cumbersome, and the second solution is four or two thousand pounds. Tang Xiaoyun looked around and said expectantly: "I need two shooters, who will be the shooter?" ”

Brush Brush Brush!

Dozens of arms were raised high in unison.

Tang Xiaoyun ordered a boy to point out: "The first shooter, Li Zihan." ”

Li Zihan happily accepted the order, he confidently walked to the blackboard, and pushed a quarter of the blackboard where he had drawn a picture and written the question to the top, and he had a quarter of a blank blackboard to give the first solution.

Tang Xiaoyun asked: "It seems that everyone will have the first solution, so who will have the second solution?"

The spectacular image of dozens of arms raised high disappeared in an instant.

Only one boy raised his arm.

"Lanjie, it's you and you. I don't even want to point at you, but what can I do, only you raise your hand, and I can't do it if I don't click on you. The second scorer, Langer. ”

Ranger sat in the last row closest to the window, and half a meter behind him were stacked with mops, brooms, buckets, and dustpans.

Tang Xiaoyun arranged for Lan Jie to sit in the back corner, not because Lan Jie was a scumbag who no one loved. On the contrary, Lan Jie is the chief student in the second and third classes, he has grown to 1.85 meters, and he has the highest number in the class.

After extremely complex geometric and optical calculations, Tang Xiaoyun let Lan Jie sit in a corner, avoiding the physical phenomenon of Lan Jie blocking the sight of other students.

"Yes, yes, I like to play shooters the most. ”

Lan Jie strode to the blackboard, not much to say, pen on, solve the problem!

In the blink of an eye, a quarter of the blackboard belonging to Lan Jie pulled out various details.

Taking the disc as the reference frame, the dynamic equation of the bullet is mr·· =-2mω×v。

Since x=-R,y=0 is a point on the trajectory curve, the integral constant is C=-v0Rsinθ.

Substituting the trajectory equation yields:

-ω（x+R）^2+（v0sinθ）x=ωy^2+（v0cosθ）y-v0Rsinθ。

Continuing to find out, the azimuth angle of the bullet fired by the shooter is θ=arcsin2ωR/v0.

The corresponding trajectory equation is x^2+[y+√(v0/2ω)^2-R^2]^2=v0^2/4ω^2.

"it. ”

Lan Jie patted the chalk ash on his hand, turned his head and glanced at Li Zihan and Li Zihan's solution progress beside him.

Lan Jie, who was the first to come, found the equation of the azimuth angle θ and the trajectory, while Li Zihan had just found the circumferential radius r=v0/2ω according to the Coriolis force and Newton's second law, and then used ordinary geometric methods to find sinθ=R/r=2ωR/v0.

With the naked eye, it can be seen that Li Zihan is at least five steps away from the trajectory equation.

Li Zihan beeped quietly: "Lan Jie, what are you looking at?"

Lan Jie smiled and said, "You won't die if you look at it, hehehe, Brother Hanzi hurry up." ”

"When I grow to 1.8 meters, I will beat you dog to death. Li Zihan, who is 1.62 meters tall, no longer cares about Lan Jie, although he is angry, he is powerless.

Lan Jie turned to ask Tang Xiaoyun: "Teacher Tang, I'm done, this question is really skillful, it's a good question, I hope Teacher Tang can have a few more such good questions." ”

Tang Xiaoyun quickly examined Lan Jie's solution process and answer, and she nodded with satisfaction: "Well, Lan Jie, you can go back to your seat." ”

Ranger went back to his throne, he didn't have a tablemate, he occupied two desks by himself, the one on the left was the main seat, and the one on the right was empty.

A few minutes later, Li Zihan came up with the exact same answer as Lan Jie.

Tang Xiaoyun knocked on Li Zihan's blackboard: "This solution is a routine operation, students who don't understand it, please raise your hand." No one raised their hand, and that's fine, so I won't talk about it. ”

Tang Xiaoyun moved to Lan Jie's blackboard, and she knocked on R·· , C, arcsin, and asks, "Who else but Langer can do second-order derivatives, integral constants, and inverse trigonometric functions?"

No one answered.

"It's inexplicably irritable. Tang Xiaoyun pouted and stomped her feet, and she said again: "Lan Jie, you are a member of the study committee, you tell me, where did Teacher Han go?"

Lan Jie replied: "The compulsory course of mathematics has been completed, and the introductory knowledge of calculus is the content of the mathematics elective, and it is expected that Mr. Han will finish the mathematics elective within this semester." ”

Tang Xiaoyun complained: "Teacher Han's teaching progress is very conservative, but what can I do, I can only cooperate with the progress of the math teacher." So, Lan Jie, why can you complete all the compulsory + elective courses of mathematics by yourself, and can you share your learning experience with everyone?"

Lan Jie generously shared the specific details of his learning experience: "If you learn, you will learn. ”

"Thank you Lanjie for sharing. Tang Xiaoyun was satisfied with Lan Jie's answer, and she immediately wondered: "It's strange, you entered school on the same day and studied the same subjects with the same teachers, why did Lan Jie learn while learning, but you couldn't?"

(艹)

(╥╯^╰╥)

(▼へ▼メ)

Various expressions in the audience.

The central idea expressed by the students is that in physics and mathematics, Ranger is a pervert.

"Among our sheep, there is no superordinary, only willing to learn. Tang Xiaoyun made an objective evaluation, she said: "The answer to this mechanics problem on the blackboard can be found with Li Zihan's solution, and some mechanics problems must use Lan Jie's method of doing second-order derivation, doing integral constants, and then reverse substitution to find the trajectory equation." ”

"Over time, students will gradually acquire the necessary mathematical tools. As your warmest physics teacher, of course, I have to take care of the vast majority of students, or that sentence, mathematics is a tool of physics, and I will cooperate with Mr. Han's mathematics teaching progress to ensure the overall teaching effect of my physics class. I left a reflection question as today's homework, you should think about it after class and comprehend it, please be sure to do what you can. ”

Tang Xiaoyun left a mechanics thinking question, and when the bell rang after class, she left quickly, and the students copied the thinking questions in the homework book.

"The earth rotates at angular velocity ω, and a particle falls freely at h altitude above the latitude ψ, ignoring the air resistance and inertial centrifugal force, and tries to find the deviation of the landing point caused by the Coriolis force. ”

Lan Jie recorded this thinking question, eh, it's Coriolis again, this type of question has no skill at all, Teacher Tang really takes care of most ordinary students, but why doesn't she take care of me?

Drip!

Host detected. 】

[Lifetime binding. 】

[After research, the default attributes of the host are as follows:

Logical Thinking 18

Analytical Thinking 17

Spatial Thinking 13

Abstract Thinking 10

Creative Thinking 16. 】

[The five major thinking is the basis of learning, and the higher the value of the five major thinking, the stronger the host's comprehensive learning ability. 】

【Talent Panel Initialization...... Please be patient ......】

It's the system again!

Huh?

Why do you say again?

Lan Jie is extremely puzzled, I am naturally smart, handsome, and have good academic performance, I am a top student from kindergarten to high school, I don't need any learning system, why are you binding me?

"Brother Tongzi, you tied up the wrong person, right?

[Remind the host again that this system is bound for life.] 】

'Forced to buy and sell, hum, so angry!'

In that case, I can only reluctantly take you in. ’

To get back to the point, I agree with the setting of the five major thinking, and my default abstract thinking value is the lowest, which is 10. Can you tell me what level is 10, is it strong or weak, is there a reference?'

[10 = Normal.] 】

'What about 18?'

[Normal.] 】

'So who isn't ordinary?'

[A lot.] 】

My Applejack turned out to be average?

There are a lot of people who are not ordinary?

Damn, it's so exciting!