I used Hextech Grinding to become a top student
Chapter 11 My Path Is Not Lonely, My Spirit Is Unyielding
This is the last major question on a mock college entrance exam. As we all know, these kinds of questions are used to select talent.
The difficulty level will be a level higher than the previous questions. You could say that if you learned high school material, you could basically handle the previous questions.
However, the last major question in the college entrance examination is often beyond the syllabus. The final question in the college entrance examination mathematics usually does not test a single knowledge point, but integrates multiple important knowledge points such as functions, derivatives, sequences, inequalities, and analytic geometry (such as ellipses, hyperbolas, and parabolas) to form a highly comprehensive question.
These types of problems often involve very complex calculations, requiring test-takers to have great patience and meticulousness, especially when dealing with derivatives and case-by-case analysis. The problems also emphasize innovation and flexible thinking, potentially requiring test-takers to use innovative thinking to find new solutions or to demonstrate strong algebraic manipulation and construction skills.
Furthermore, the final question is usually designed with a clear gradient.
Generally speaking, the first question is relatively simple and most candidates can try to answer it. The second question is more difficult, and the third question is extremely challenging, mainly to distinguish top candidates.
The questions contain a lot of information, requiring test takers to read and understand the questions carefully and grasp the key conditions.
Clearly, Chen Mu hasn't even finished his online math classes for his senior year of high school, but he's already eager to give it a try.
"Didn't you say it would be tomorrow?" Jiang Yueyao asked.
"I'll take a look today. If I can manage it, I'll make it. If not, I'll do it tomorrow. But if I can make it, could you treat me to a meal?" Chen Mu asked.
Jiang Yueyao became interested. Inviting him to dinner was a small matter; what she was really curious about was Chen Mu's level of competence.
It's true that the physics and math teachers paid close attention, but after all, it was a test paper for first-year high school students.
It's incomparable to the college entrance examination paper!
Jiang Yueyao's mock math scores are usually consistently above 135. If Chen Mu can solve the problems that she can't, then he's been hiding his true abilities very well.
Chen Mu took the test paper and looked at it.
Given the function f(x) = 5\cos x -\cos 5x...
In the past, I would have gotten a headache just looking at this question, but now I feel like I can handle it.
Three questions in total!
The first question asks for the maximum value over an interval. Our first step is to find the derivative, f(x)...
The second step is to find the critical point (by setting the derivative to zero)...
The third step is to analyze the monotonicity and find the extreme values...
Step one done.
By the time Chen Mu answered the first question, Jiang Yueyao's mouth was already big enough to fit anything in it.
This guy has been hiding his strength for three years. You're really good at enduring things; you're even more patient than King Goujian of Yue.
If a normal student has this ability, can they resist getting high scores and showing off?
However, Chen Mu did not stop and continued to answer the second question.
Question 2: Proof of the inequality
The core idea is to use the periodicity and boundedness of the cosine function for discussion. Since the cosine function is an even function with a period of 2π, we can normalize the real number a to an interval of length 2π for analysis without loss of generality…” Chen Mu continued.
Having solved the second question, Chen Mu, who was stuck on the third, said, "This third question is indeed a bit difficult. I can handle it tomorrow. If you're not in a hurry, can I help you with it during morning reading? Could you prepay for this meal?"
"..." Jiang Yueyao nodded blankly.
If you can solve both parts of the last question on the college entrance exam, you're more than capable of scoring 130.
This guy is really mysterious.
Even if it's just to get to know him a little better, this meal is worth it.
I went to the cafeteria after school this afternoon!
Jiang Yueyao was shocked again, and said with some anger, "Seriously? I'm just treating you to a meal, did you really have to order so much?"
Chen Mu ordered enough for about three people, making Jiang Yueyao suspect that he was trying to rip her off.
As expected, negative emotions increased by another 200!
This is a win-win situation, I won twice!
Chen Mu smugly thought, "Don't you know that studying hard requires a lot of energy?"
"Eat up, eat up! If you dare waste even a single thing, I'll make you give me your money back!" Jiang Yueyao said fiercely.
"You should add three more words in front of it, then I'll take a picture of you, and you can become the internet celebrity 'Refund Sister'," Chen Mu said.
The other party clearly knew the "refund guy" meme. He moved his mouth slightly, but couldn't bring himself to say those three words, after all, his upbringing didn't allow it.
After Chen Mu finished eating and drinking, he got up and left.
"Where are you going? You're just going to eat and run away?" Jiang Yueyao asked.
"What else can I do? I'm in a hurry, I need to study quickly and try to solve your problem as soon as possible," Chen Mu said.
Unfortunately, Chen Mu's comprehension speed was not fast enough when he was just reading the book, and he did not solve the third question before the end of evening self-study.
"If only I could train my body again!" Chen Mu sighed, but even if he managed to get the money, he would still have to wait a month.
So there's no rush, let's take it slow.
If there were no time limit for physical training, then the most cost-effective option would be to hand myself over to the country, receive hundreds of billions or trillions of yuan from the country, and in return, help the country directly overcome various scientific research problems.
If there is a time limit, then I should take it slow and be a free agent for now.
After another day of intense study, Chen Mu felt a bit mentally exhausted. Although his body didn't need to sleep, his mind was indeed tired from such intense mental exertion.
So that night, when the two men with dark circles under their eyes asked Chen Mu if he wanted to stay up all night again, they naturally received a negative answer. This made them feel better. If he could still go tonight, they would call the police.
Chen Mu also went to bed early, but set an alarm for 11:30 p.m., when his phone vibrated and woke him up in a second.
I immediately turned off the alarm clock, then tiptoed out of bed, grabbed my books and pens, and quietly left the dormitory.
We arrived at... the public restroom.
The dormitory lights at the county's No. 1 Middle School are turned off at 11 p.m., so there are no lights in the dormitory.
Chen Mu had to go to the bathroom in the dark to read and study using the motion-activated light there.
Upon arriving at the restroom, we found that the restroom at the county's No. 1 Middle School was a public restroom, with a sink on the far left.
Although there was some distance between them, a slightly unpleasant smell could still reach Chen Mu's nose. Fortunately, Chen Mu's nose wasn't very sensitive, otherwise he would definitely feel like vomiting.
Although it wasn't to the point of vomiting, it was still very uncomfortable. However, as the saying goes, "Heaven will entrust great responsibilities to those who are destined for them, and will first test their resolve."
Chen Mu felt that he was only worthy of his extraordinary life if he could endure this hardship.
Just like playing a game, the most painful thing is not losing to someone who cheats, but losing even when you're cheating.
This is too embarrassing, so even if there are only 100 days left, as a man with a cheat code, he must make a comeback.
But to my surprise, there was already someone reading a book next to the sink in the bathroom.
Are there more experts?
Chen Mu has relatively good kidneys, so he rarely goes out to urinate late at night.
I never knew anyone would read a book in this bathroom.
When the other person noticed him, he merely glanced at him indifferently, then continued reading and doing practice problems, seemingly immersed in the world of problem-solving.
That's pretty good!
Although we don't know each other, we share the same ideals and goals, so I'm not alone!
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