I can really play with it

Chapter 247 Where did the evildoer come from?
It's a bit level, classmate Tang Qianqian!

No need to be urged by others, the invigilator continued to look at the next question.

This is a geometry problem that asks for the area of ​​the shaded part of the graph.

This kind of question often appears in elementary school Mathematical Olympiad questions.

All such questions in the after-school exercises are spliced ​​from the simplest basic graphics.

However, in the field of Mathematical Olympiad, the graphs given are often strange and strange, and the results cannot be calculated by simple formulas.

Most of the solutions to this kind of problem require making several auxiliary lines, then calculating them in blocks, and finally summing them up.

The invigilator recalled the basic idea of ​​doing this kind of question.

He himself is a mathematics teacher, and he has a lot of research on these.

He glanced at Tang Qianqian's attached picture, but did not make auxiliary lines.

There is probably no way to solve it, right?

Wait a minute what is this?
He took a closer look, Tang Qianqian didn't seem to have drawn a line, she drew an x-axis and a y-axis?
Isn't this a plane Cartesian coordinate system?
What is this going to do?
Then he saw the process on the side.

This time, he showed an incredulous expression.

This process.?

She is scoring points?Definite integral?

Tang Qianqian's solution is to calculate the definite integral? !
Since I haven't studied mathematics other than elementary school for many years, the invigilator saw that these things were a bit unfamiliar.

But he definitely graduated from a serious mathematics major, so it is impossible not to know this thing.

Meaningless, the symbol that looks like a crooked earthworm is the point symbol!
He felt a little unreal.

The point symbols appearing on the primary school test paper, it will be weird for anyone to look at it, right? !
The first time a student comes into contact with points is in high school, right?

so, what happened?
The invigilator recalled some knowledge points and formulas of definite points, and only after confirming that he recalled them did he start watching Tang Qianqian's process.

The line in the graph is a special curve, how did she see it?

But soon he found out that Tang Qianqian actually wrote the function analysis formula of this special curve in the process.

The invigilator did the math on paper.

It really is!
This solution was something he had never thought of.

In other words, not all questions can be solved with this strange idea, but this question can be used!
Tang Qianqian still used that!
In the subsequent calculation process.?

Completely correct.

The invigilator did not give up and used the conventional method to solve it again, and compared the solution with Tang Qianqian's solution.

Exactly.

Outrageous!

This question seems to be the fastest to do with definite integrals!

Could it be that she happened to have done this problem elsewhere, and she forcibly memorized the solution of the senior grade, and then wrote it perfectly silently in the examination room?
Do you believe it yourself?
The invigilator asked himself.

Forcing myself to give up thinking, the invigilator continued to look down.

Question 3 is a big question, correct, using conventional answers.

The fourth big question is correct, and it is an unconventional solution. This time it is a method that I only came into contact with in junior high school.

The last track 5 and track 6 are also correct.

A rule can be found.

That is, when Tang Qianqian chooses a problem-solving method, the only basis for her choice is to choose the one with the fewest steps.

It doesn't matter at which stage the method used is learned.

is she really a primary school student
Could it be that our school is going to produce a really good seedling this time? !

The invigilator raised his head, trying to find Xiaoqian.

But obviously, she's gone.

The invigilator looked at the time.

There is still half an hour until the end of the exam.

and many more? !
No no no.

The invigilator suddenly discovered a problem.

A very important question.

When did Tang Qianqian hand in the paper?

He recalled carefully.

Yes. Half an hour ago?

In other words, it took me half an hour to help her check the next few big problems.

Although there is still a difference between checking and doing it yourself.

Then even if I finished these 20 questions in 6 minutes!

So how long did Tang Qianqian use it?
The answer is: half an hour.

This time the invigilator was very clear.

The total time for the exam was one and a half hours, and I checked the calculations for half an hour, and now there is half an hour left before the end of the exam, so Tang Qianqian only took half an hour.

slower than yourself?

nonsense!There are multiple-choice and fill-in-the-blank questions in front of this test paper!
I don't believe that she can make such a big question in the back, and that the fill-in-the-blank questions in the previous multiple-choice questions can still be written blindly.

I don't even believe it!

The invigilator was almost a little schizophrenic, and he actually had a tendency to quarrel with himself.

In 30 minutes, a whole test paper was handed in.

Mostly right.

Still used a lot of advanced methods like "integration" and "derivation".

The invigilator fell silent.

It seems that the term "good seedlings" is a bit conservative.

Because what happened just now was too "magical", the invigilator waited for a long time to sort out the whole chain of events.

Finally came to a conclusion:
This little-known elementary school is finally about to produce a "monster"-level young genius.

The invigilator took a deep breath.

As a math teacher, his favorite is the "little genius" kind of high IQ children.

This is a kind of liking from the inside out, which is deeply engraved in the identity card of "mathematics teacher".

He felt a little pity that he was not such a "little genius" teacher.

"Hey--"

He sighed, sorted out his emotions a bit, and put this "wonderful" math test paper in the test paper bag.

On the way to refill the test paper, he accidentally touched something and dropped it on the ground.

The invigilator bent over to pick it up.

What fell on the ground was a piece of used draft paper, which can also be said to be a large painting.

Tang Qianqian just painted it.

The invigilator suddenly felt that this piece of work that he thought was "sloppy" at first looked particularly pleasing to the eye, and it also had a particularly artistic atmosphere.

He picked up the draft paper.

On the way to get up, his body suddenly froze.

画.
When did you draw it?

How long will it take to draw the dense lines on the draft paper?

so?
The invigilator once again fell into a downtime state.

On Saturday evening, all the test papers for this math competition were corrected.

The results of this competition in school selection are very unexpected.

There are nearly 40 test papers, but there are 4 perfect test papers!
This is a grand occasion like never before!
In the past few years, there was a maximum of one full score in each school selection, and very few scored above 95.

You should know that the difficulty of each question is very close.

This shows that among the students participating this year, there are more outstanding students.

But this also brings up a problem that was never there before:

Which three to choose to participate in the competition in the district?
In the past, the top three were selected directly according to the ranking of the results and the work was done.

But this time, with four full marks, it is bound to eliminate one person, right?

They are all children with full marks in the exam, who wants to be eliminated?
The head teacher in charge of selecting candidates at the school felt a rare sense of entanglement.

(End of this chapter)