Chapter 6 You also need to enlighten me on the spot


Chapter 6 You also need to enlighten me on the spot

Seeing this kid, Duan Yongming couldn't help but think of the good show at the school gate in the morning.

Why hadn't I noticed before that this kid was so capable of surviving?
Duan Yongming is not the kind of teacher who only values ​​results. He often pays attention to students who are poor in mathematics in the class.

Guys like Xu Qingshan, who scored 80 or 90 in the exam, repeatedly jumping on the edge of passing or failing, are the focus of Duan Yongming's attention.

If Xu Qingshan was said to be stupid, Duan Yongming wouldn't say anything.

But the problem is, this little brat's problem-solving ideas and logic are actually not bad. Judging from Duan Yongming's twenty years of teaching experience, he is also a brat who is smart but not interested in learning.

Sometimes a little more help from the teacher can lead to big breakthroughs in performance.

According to Duan Yongming's expectations, if Xu Qingshan, the senior reviewer in high school, studied hard, he would get at least 500 points and get into a good university without any problem.

Duan Yongming has always felt that as long as he pays more attention, he can move one by one. In this way, every time you evaluate after the college entrance examination, your A-segment heavy capital ratio can be improved by a few decimal points, which may trigger the school's bonus line and slightly change a child's fate.

Being a teacher, isn’t that all you pursue?
Old Duan held his double-walled glass tea cup in one hand and put his other hand on the half-open lid. He walked off the platform and started walking around the classroom, stopping next to this classmate and then stopping next to that classmate.

This behavior is very oppressive for students.

Lao Duan stood next to Guo Wei and watched for a while. Guo Wei didn't even dare to write, for fear that if he made a mistake on the spot, Lao Duan would see it, and he would be pulled out to become a role model.

"To do the questions, you need to write. A good memory is not as good as a bad writing. Mental arithmetic is the most likely to make mistakes. Don't take it for granted."

He left Guo Wei's side, wandered around, and unknowingly came to Xu Qingshan's side.

Three choices, two fill-in-the-blank questions, and two big questions.

The scope of the inspection is actually quite broad.

The first question is the most classic set and common logic problem:

1. It is known that set A={x|x-2≤0}, set B={0, 1, 2, 3}, set C={x|-1<x<1}, then (A∩B) ∪C=(?)

A.(-1,1]
B.(-1,1]∪{2}
C.(-1,2]
D.{0}
Old Duan held the tea cup and stood behind Xu Qingshan watching him answer the questions.

For the first question, choose B.

Well, let’s see if the draft has a correct idea map and derivation process.

In fact, the question itself is not very difficult, and for this kind of multiple-choice question, many people actually choose to choose it directly after deducing it in their mind.

However, Lao Duan had set rules for the students in the experimental class.

He doesn't care what happens during the formal exam, but during the usual quizzes, he requires everyone to neatly write out the derivation process on the draft.

This is actually quite good. After all, the purpose of the quiz is to understand students’ understanding and application of knowledge points.

If someone relies on guessing the correct answer, then the role and significance of the quiz will be infinitely weakened.

It has to be said that Lao Duan, as a gold medal veteran teacher, is very good at teaching and educating people.

It's just...
Lao Duan stood behind Xu Qingshan.

He found that the boy was not panicked at all. He even looked up at him, smiled and nodded to himself.

Not at all like a student.

"Um?"

When Lao Duan saw the draft paper on the side of Xu Qingshan's hand, for a moment, his old face was very wonderful.

It’s not that Xu Qingshan wrote nothing.

But Xu Qingshan wrote everything.

On his draft paper, he carefully wrote down complete knowledge points about sets and logic, from the concept of sets, to the characteristics of elements, to distinguishing the relationships between subsets, proper subsets, ideals, etc., and distinguishing intersections, unions, etc. Sets, complement operations, etc. He almost directly listed all the parts that need to be used in this knowledge point.

And according to the way he listed knowledge points and formulas, Lao Duan had an idea in his mind that was a bit absurd even if he guessed it.

This kid.
It seems that he did not memorize these knowledge points. According to the content and way he wrote it, it is more like he only remembered a few of them, but relied on his own logical ability to accurately write down the rest. derived from the part.

However, the set question itself is not difficult, and the knowledge points about sets are also considered the easiest part of high school mathematics.

Lao Duan felt that he could still accept it.

But what Xu Qingshan is writing now is a bit unacceptable to him.

After all, this is just the first day of rebirth.

Although Xu Qingshan still remembers some high school mathematics knowledge, there are really many missing areas.

For him, memory is not a scattered puzzle. He has to find the missing piece of the puzzle in his memory to fill it in. What he needs to do is to use the part of the puzzle he has mastered now to draw the free piece with his own hands.

Lao Duan just stood beside Xu Qingshan.

Seeing him with his own eyes through geometric drawing and constant simple derivation, are you trying to deduce the derivative formula?

It seems that Xu Qingshan only remembers some of the most basic things about derivatives, such as its definition: y'(x)=dy/dx=limh→0y(x+h)-y(x)/h.

But Lao Duan watched helplessly as Xu Qingshan derived the addition rule, multiplication rule and chain rule from definitions. He could still understand these, after all, other students with a solid foundation in mathematics could also do it easily and clearly.

But how could he conduct e's hypothesis verification on the spot during the quiz?
Using the chain rule, the definition of derivatives is simplified and universal, and the division rule is derived.

For a moment, Lao Duan didn't know how he should evaluate the somewhat abstract student in front of him.

He seems to have a sense of beauty that combines a weak foundation with strong logical thinking.

Um.

It fits Lao Duan's stereotype of Xu Qingshan very well.

His current assessment of Xu Qingshan's intelligence level has been slightly raised from the original serious study to over 500 points. If he really studies hard in his senior year of high school, 550+ points will definitely not be a problem.

With this score, I can go to some pretty good 211 universities.

For example, Rongcheng University in Rongcheng, the provincial capital.

It's just that this foundation is really not solid, and the first two years of high school were like a joke.

Lao Duan cursed.

The previous choices were all written down, but the fill-in-the-blank questions that examined the counting principle and the binomial theorem were left untouched. I didn’t even type up a draft. I just gave up at the first glance.

For the more difficult task of filling in the blanks when examining vectors, I scrawled one or two lines of definitions on the draft and then crossed them out. It seemed that I discovered that my memory was wrong.

Two big questions, one big derivative question and one big geometry question.

He did it in a decent way.

In 20 minutes, Xu Qingshan finished the questions, rubbed his wrists, and let out a sigh of relief.

This topic is not bad, and there is nothing to guide now.

The main reason is that I haven't held a pen to write for a long time, and I have to deliberately write according to the neater words in my memory. This turned out to be the most difficult point of this quiz.

Xu Qingshan raised his head and saw Lao Duan, who was holding a glass, walking calmly from his side to the podium, asking people to start to collect the paper.

I couldn’t sleep because of the pain last night. Then I squinted for three hours in the afternoon and felt a little dizzy. If there are any problems in the description of the article, please correct me~
 

(End of this chapter)

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