I Exchange For Black Technology By Blowing Up The Bully

Song He looked at the question quickly. It was a very routine question, which should be modified according to the final question of the college entrance examination.

This kind of question is difficult for ordinary students, but it is nothing to Song He. After reading the question for a few seconds, a series of steps popped up in his mind, and the final answer was calculated in his mind.

"The first question is monotonicity, can you do it?" Song He asked.

"Yes." Zhuang Qiyan nodded, "No to the second question."

"For the second question, I will tell you a conventional method, a method of separating variables. The conventional method is cumbersome, and the separation of variables is simpler, but it takes practice." Song He said.

Zhuang Qiyan quickly took the pen and paper, put on an attitude of listening attentively, like a good student humbly asking for advice from the teacher.

"As a general practice, first set g(x) equal to f(x), pay attention to the range of x, here is one point." Song He picked up a pen and sketched on the draft paper, "Then derivate g' once, and g'' again , then monotonically decreasing from 0 to ln3, and monotonically increasing from ln3 to positive infinity, here is another point..."

Zhuang Qiyan hurriedly followed, sketching on the draft paper with a pen, her eyes tense.

Song He wrote a large piece of paper eloquently, discussed two situations, step by step, and even marked each step with a score, and finally got a dazzling result.

"Do you understand this routine?" Song He turned his head.

Zhuang Qiyan rested her chin in thought, bit her lip lightly.

Song He's blood pressure rose beside him, and the two of them were so close that their legs were almost touching each other. Senior Sister Zhuang's scent was exceptionally clear, her face was delicate and fair, and her lip-biting movements were even more unstoppable.

Song He is in a bit of pain, senior sister, just think when you think, can you stop biting your lip?

"I probably understand, I'll sort it out later." Zhuang Qiyan smiled shyly, "Is the second method easier?"

"The steps are simple, the method of separating variables, but it requires your eyesight." Song He quickly wrote two inequalities, "The above formula is always true, so when x is equal to 2, there is a maximum value, and the value range of a will be shown gone."

Zhuang Qiyan was taken aback, the result came out before she could react.

"I've seen this method before. It's amazing. It takes one page to write and it's easy to make mistakes. This method produces results in just two formulas!"

"Yes, I always use separate variables when answering questions, and it disappears in seconds." Song He nodded.

"But I don't know how, how do I know what to separate?" Zhuang Qiyan cast admiring gazes, "I feel that people who know this method are very smart, did they calculate it directly in their minds?"

"I do direct mental calculations, but there are also techniques that can help you determine variables." Song He said, "I will teach you, and then I will write a few questions for you, and you can try to see if you can do it."

"Thank you!" Zhuang Qiyan was excited.

Song He quickly wrote on the draft paper, listed a few sample questions, and poked with the tip of his pen to start the lecture.

Zhuang Qiyan's body kept leaning, approaching involuntarily, focusing entirely on the topic, nodding non-stop.

The distance between the two was getting closer and closer, until Song He's elbow accidentally touched an elastic and soft part.

There was a loud bang in Song He's head, and he quickly retracted his elbows.

Zhuang Qiyan didn't seem to notice it, she fixed her eyes on the question and asked in a low voice, "Then the value range of this place..."

"The range of values ​​is the same as above, but there are special cases." Song He said dryly, "I'll tell you a few questions, and you can try to do it yourself."

"Four years ago, the last question of the first national volume of science, the penultimate question of the Su Juan last year, the last question of the five-school joint examination last year, and the last question of the second-mode paper the year before the university, go to the bookshelf over there to find a red book. Pi's "100-Day Sprint Math Questions", the questions I will tell you are on pages 66 and 80 respectively." Song He spoke quickly.

Zhuang Qiyan cast admiring gazes, "Damn it, Song, you are awesome! You can actually remember the title and page number!"

Zhuang Qiyan took out a box of yogurt from the pocket of her school uniform jacket, and put it in front of Song He, "It's too late for you to do the question, please drink milk."

After finishing speaking, she got up and ran to the bookshelf area to find the exercise book.

Song He picked up the yogurt, plugged in a straw, and started to drink.

[Du Zhengqing sees that the goddess who has been in love with for a long time gave you yogurt to drink, breaks the defense, resentment value +300! 】

[Luo Lei saw that the school belle has a close relationship with you, and was very jealous, resentment value +400! 】

[Zhao Kai saw you drinking the milk of the school girl, so jealous that he twisted, resentment value +400! 】

A series of subtitles popped up continuously, very dense, like a movie barrage.

While drinking yogurt, Song He watched contentedly as the value of resentment continued to increase.

Senior sister Zhuang is a cash cow!

In just a few minutes of speaking, the surrounding seniors actually contributed more than 3,000 resentment points, which are still rising! It made Song He somehow feel like he was next to a rich woman.

After drinking the yogurt, lower your head and open "Linear Algebra", and continue to study hard!

Originally thought that college mathematics courses would be difficult, but Song He learned to learn, and suddenly found that this "Linear Algebra" is quite simple.

Determinants, matrices, linear equations, vectors, linear transformations... A lot of new knowledge poured into my mind, and the river-like digital formulas kept rushing!

Soon, upgrade!

[Mathematics progress detected, from Bronze 41 to Bronze 42! 】

Inner product of vectors, eigenvalues ​​and eigenvectors, similarity matrix, quadratic form and its canonical form...

[Mathematics progress detected, from Bronze 42 to Bronze 43! 】

Song He was excited. He just learned a part of "Linear Algebra", and his level has already caught up with Ning Mo, who is level 43!

I didn't expect to catch up with such a fast speed. With the blessing of the mental arithmetic capsule, learning mathematics is indeed a leap forward!

The clock on the wall beeped softly, and it was already twelve o'clock at noon.

I just concentrated on doing the questions and didn't feel anything, but now I'm distracted, and I'm suddenly hungry!

Song He opened his schoolbag, took out Shaqi Ma Kaka and ate it, and ate some snacks at noon to deal with it, saving the time of queuing in the cafeteria and doing quizzes!

Dimensions, basis and coordinate transformations, matrix expressions for linear transformations, positive definite quadratic forms...

[Mathematics progress detected, from Bronze 43 to Bronze 44! 】

finally! Catch up with Ning Mo, who is at level 43, and tie with Zhang Zhilei, who is at level 44!

The "Linear Algebra" in his hand is approaching the end page, but this book has not been thoroughly understood. Song He only learns the concepts and looks at the examples, and has not done the homework after class.

According to previous experience, if you can increase the knowledge points of the textbook by one level, then you can increase by at least three levels after completing the exercises!

If "Linear Algebra" is a mine that can dig out mathematical experience, then Song He has only dug the surface layer of the mine, and there are rich veins in the deep layer waiting to be excavated!

Looking up at the watch, it was half past one in the afternoon.

Time passed so fast, Song He almost suspected that the watch was broken.

"Student, I'm going back to class, thank you for giving me a lecture!" Zhuang Qiyan opened her schoolbag, took out a few packs of potato chips and put them on the table, "I see you didn't go to the cafeteria at noon, it's so hard, I'll save some snacks for you Bar!"

"Thank you! Then I'm welcome, it's just for dinner." Song He thanked.

"It's not good for dinner. Snacks can't be eaten as meals. It hurts the stomach."

Zhuang Qiyan's tone was concerned, but suddenly he thought of something, and his eyes became excited.

"Student, if I still have math problems...can I ask you?"

"You speak very well, even better than my teacher. I have asked many people who couldn't learn that question. After listening to you, I finally understand! You are in elite class 2, right?"

"Yes, elite class 2." Song He readily agreed.

"Thank you very much! Goodbye!" Zhuang Qiyan smiled and waved, picked up her schoolbag and left.

Song He was in a good mood, bowed his head and continued to study "Linear Algebra", wandering in the ocean of mathematics, devouring knowledge greedily, and improving his mathematics level.

After a while, Song He suddenly raised his head.

broken!

I only told Senior Sister Zhuang the elite class 2, but didn't say it was the first year of high school!

She must have thought it was the elite class 2 of the third year of high school!