The teacher was lecturing all the time, and Wu Tong paid a little attention and listened attentively. At the same time, her hands were slowly deducing the Lagrange mean value theorem that she had just come across on the draft paper.
Assume F(x) = ······. Since F(x) is continuous on the closed interval (a, b) and differentiable in (a, b), F(x) is continuous on the closed interval (a, b) and differentiable in (a, b)·····
The above proof is that in ab, the function f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b). Then there is at least one point ξ in the open interval (a, b) such that f'(ξ)=(f(b)-f(a))/(ba)···
She is now more in tune with the Enlightenment Stele and no longer needs to connect with it specifically. As long as she calms down, she can immediately enter that state of deep learning with no distractions anytime and anywhere. She can enter and interrupt at any time, very freely.
When Wu Tong heard the teacher calling her, she was stunned for a moment before she reacted, put down her pen and stood up.
"teacher."
At the stairwell, teachers and students gathered and headed towards the teachers' office at the end of the corridor. The second-year teachers' office was located at the eastern end of their floor, meaning that the classrooms on this floor were generally under the teachers' supervision, so the discipline was considered quite good.
Chen Qiu Sheng looked at Wu Tong from the side. He didn't know when the girl straightened her back, her eyebrows and eyes were beautiful, as if the dust had been washed away by pearls, and she was radiant and smooth, completely different from her usual inconspicuous appearance.
"You did very well in the exam this time. Did you study hard during the summer vacation?" Chen Qiu Sheng started.
"Yes, Teacher Chen, I feel my foundation is not solid, so I re-took six science courses during the summer vacation!"
"It's a good thing you've realized this and learned to focus on your studies. I'm very happy. Congratulations on getting first place in the grade on this placement test!" This was also beyond the teacher's expectations. However, Chen Qiusheng had been a teacher for many years, and his complicated emotions had long since faded. Now, facing his students, he smiled, softening his usual serious expression.
No matter what, it is a happy thing if students do well in exams.
"I was ignorant before and caused the teacher a lot of worry." Wu Tong apologized to the teacher for her previous willfulness. When she didn't study hard, the teacher talked to her many times and worried about her. She was a very good teacher.
"It's all the teacher's responsibility!" Chen Qiusheng was straightforward and didn't like beating around the bush. He got straight to the point. "Based on your grades this time, you can be promoted to the top classes one or two. As you know, our school's top classes have the best teachers in the school, so they'll be better for you. The teachers in the top classes also welcome you to transfer there. They'll have a talk with you in the next couple of days."
"Go home today and discuss with your family how to arrange a class transfer. The teacher respects your opinion!"
Elite class? That was the place she had once imagined she would strive for, the place she wanted to enter. However, times had changed, and she no longer had any obsession with the elite class.
"Teacher Chen, rather than switching classes, I'd rather skip a grade and take the college entrance exam early. If skipping a grade isn't an option, I might try taking the competition-based admission route!" Wu Tong pondered for a moment before expressing her thoughts. This decision had been made in her mind since she had mastered all the high school subjects.
She went to school to acquire knowledge, not to relive her youthful high school days. After fully mastering high school knowledge, there was no point in wasting another year. Education and book resources were scarce in a small county. Entering university a year early would expose her to a broader range of knowledge. Wherever her heart led, she felt she was in the prime of her youth.
So, after making up her mind, she also created two alternative routes for herself, which she could pursue simultaneously to prepare for both situations. To be honest, for Wu Tong, competition was an unfamiliar field. It was a game for geniuses, and it was too far away from her. She had only just started to learn about it and needed to strengthen her training. It was not a lifeline, but only a backup plan.
For her, the safest route is to take the college entrance examination early, and she will fight for it with the school.
"Skip a grade?" Chen Qiu Sheng was a little surprised. Why did he come up with such an idea?
Even though Wu Tong had achieved a near-perfect score on this placement test, it was ultimately just a basic placement test! Most of the information tested was just freshman-level knowledge, but based on this, you shouldn't assume the college entrance exam is that easy!
"Yes, Teacher Chen, I'm not complacent just because my test results were okay!" Wu Tong's expression was serious and solemn. "I've already completed all six high school science subjects on my own. Regarding this point, you can test me as much as you want, and I'll accept it."
Whether or not she could take the Gaokao early ultimately depended on her teacher's communication with the school leadership, so she had to convince Teacher Chen first. The best way to convince her was to have the teacher personally verify her current level.
Did you finish all of them? Are you sure you didn't just go through all of your high school textbooks?
Chen Qiusheng looked at his watch. Morning self-study had just begun. "I heard that you always hand in your paper halfway before the exam time."
"I can't even submit the Chinese paper in half the time!" Wu Tong smiled and nodded, but she didn't say too confidently. She still needed more practice and accumulation in Chinese.
Wu Tong was quite frustrated that her previous strengths had now become her weakest subject. After all, Chinese language skills really needed time to accumulate, and she couldn't just master it overnight!
"Come on, I'll find you a test paper. Try it and see if it's a mule or a horse. Let's take a look!" Chen Qiusheng wanted to give his students a real feel for the situation, so he took a math test paper from a senior year student and said, "Come on, Wu Tong, are you sure you've finished studying all the high school math textbooks?"
"Yes, Teacher Chen!" Wu Tong nodded confidently.
"Come, do this test and let the teacher see your level!"
After seeing this, half an hour later, when Wu Tong finished the paper, he checked the answers and confirmed that it had received full marks. Chen Qiu Sheng really felt that he had broadened his horizons!
There's a famous saying that genius is one percent inspiration and ninety-nine percent perspiration. He'd taught for many years, and even when he occasionally had outstanding students, it was generally that ninety-nine percent perspiration that produced their excellent results. He'd also seen students who initially didn't study hard, but then started to focus and their grades shot up, eventually getting into good universities.
But the student in front of him, after just two months of retaking the course during the summer vacation, made a leap forward with full marks, and even completed the high school content by self-study, truly mastering the high school content. This really made him see what extraordinary talent is.
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