Super Xueba: Start With A Low Control Score!

Chapter 108 No one knows such a simple question, right?

soon!

The papers came down.

There are ten questions.

Eight fill-in-the-blank questions, each with 8 points, a total of 64 points.

There are two answer questions, the 9th question has two questions, a total of 16 points, and the 10th question only has one question, a total of 20 points.

Jiang Nan must control 88 points.

Under the premise that all the questions have been completed and no blanks can be left, the easiest way is to…

Deliberately fill in the blank question, 8 points will be deducted, and then the first question of question 9 will be deducted 4 points.

Um!

Perfect.

Jiang Nan settled down and was ready to start work.

Let’s start with the first question.

“The known real numbers: x, y, satisfy x^2-xy-2y^2=1, then the minimum value of 2x^2+y^2 is…”

Jiang Nan: “…”

Looking at the subject, he couldn’t help but want to laugh.

f*ck!

Is Mathematical Olympiad so simple?

Solution 1…

Because x^2-xy-2y^2=1.

So (x+y)(x-2y)=1.

Let x+y=m, x-2y=n (at this time: mn=1).

At this time x=(2m+n)/3, y=(m-n)/3.

Then 2x^2+y^2=1/9(9m^2+3n^2+6mn)=1/9(9m^2+3/m^2+6)…

Greater than or equal to (2+2√3)/3, which is true if and only if m=……, n=…………

…

Solution 2…

Knowing that you can draw an ellipse and a hyperbola, and prove that the two are tangent, you can get the answer…

“(2+2√3)/3.”

…

No need to think too much.

Jiang Nan instantly thought of two solutions.

The first one is the conventional solution method, which is nothing more than transforming the equation, and then setting another equation to find the minimum value.

The second one is to change the way of thinking and transform a function question into a hyperbolic and circle tangent question.

Gee!

It couldn’t be easier.

Jiang Nan filled in the answer and continued to the second question.

It took a few seconds.

Followed by the third question.

Fourth question!

…

Question 8…

“It is known that {an} is an arithmetic sequence that satisfies a1, 3, a4, 12, the sequence {bn} satisfies b1, 4, b4, 20, and {bn,, an} is a geometric sequence (find the sequence {an} And {bn} general term formula: find the sum of the first n terms of the sequence {bn}……”

Jiang Nan: “…”

All right!

I’m really speechless.

Less than a minute.

He did the eighth fill-in-the-blank problem in one go.

Take a look at this question.

He almost instinctively wrote the answer.

Gee!

It’s too simple.

It’s such a question, no one shouldn’t know it, right?

As long as people who have read books on weekdays.

I will do it all the time.

But he…

Why!

It happens to complete the task of controlling points.

You can’t do it all right.

It’s so pathetic.

finally!

Jiang Nan gritted his teeth, resisting the urge to write the correct answer, and forcibly filled in the wrong answer.

Then……

Turn over the paper.

So I went to do the last two questions.

That is, questions 9 and 10.

The 9th question is still very simple. It is a trigonometric function. The first question is to find the value range of an angle a, and the second question is to find the maximum and minimum values ​​of the function.

One minute.

Jiang Nan finished the question.

The reason why it took so long.

It was purely that he had to make the first question wrong, and even had to be so wrong that he couldn’t get a point, and he didn’t want to be seen by the scoring teacher at a glance that he had done it deliberately.

so……

It only took a minute.

otherwise!

Give him half a minute is enough.

It’s the same as the last question.

Just half a minute.

He got it done.

And at this moment…

The radio hanging in the corner of the classroom was bluffing a few times, “Now we begin to announce the discipline of the Olympiad competition examination room: one: the test duration is two and a half hours, two…”

“Six: During the exam, candidates cannot leave their seats or go to the toilet unless they hand in their papers in advance…”

“…”

Jiang Nan: “???”

What?

Can I hand in papers in advance?

Really?

This is a surprise.

Originally, he thought that this competition was the same as the monthly test, and he could not hand in the papers in advance, unless he waited until the last 15 minutes.

This is not why he is ready to clean up the table and go to sleep.

But the result…

It was said on the radio that you cannot leave your seat to go to the toilet, but it is okay to hand in your papers in advance, and you can leave after you hand in the papers.

so……

Jiang Nan put the pen in his pocket and got up directly.

“This examinee, did you just listen to the broadcast? During the exam, you can’t leave your seat and go to the bathroom.”

“Not to mention this has just started the exam, what’s the matter with you? Didn’t it solve it beforehand?”

An invigilator stopped Jiang Nan very seriously.

“Teacher, don’t be nervous!”

Jiang Nan waved his hand and said calmly: “I have listened to the radio content, and I don’t want to go to the bathroom.”

“Then what do you want to do?”

“I’m done, hand in the paper ahead of time!”

Invigilator: “???”

Question marks hung over his head, a little dazed.

What?

What?

What?

What did Jiang Nan say?

Did he hear me right?

Didn’t you see the pens in the hands of other students in the examination room, it seemed to be so heavy that you couldn’t write at all?

Haven’t you seen the 30-odd people in the examination room, most of whom have gnashing their teeth and scratching their heads and cheeks?

even……

Even my invigilator barely managed to finish reading the first question, but hadn’t found a way to solve it.

But you said it’s all done?

Said to hand in papers?

Could it be that you are a hundred thousand times better than me?

Do not!

Even if it surpasses me a hundred thousand times.

Don’t even think about finishing the paper so soon.

“This candidate, I hope you can take every exam seriously and be responsible for your results.”

“If you are not ready, or don’t want to take the exam, don’t waste your place or time.”

“But since you are here, you should go all out.”

‘Even if the question is difficult, it’s so difficult that you can’t do a single one. You shouldn’t give up as soon as you start the exam. At least you have to write a few steps so that you won’t get 0 points, right? ”

The invigilator’s tone was rather bad.

Just because…

He has already determined that Jiang Nan has not finished the papers, but is too poor, but the papers are too difficult, so he just abandoned the exam.

However……

“What?”

“Is it difficult?”

“No!”

“Simple can’t be simpler, just look at it. Although I can’t get a full score, I won’t get a 0 point in the test.”

“anyway……”

“Eighty-seven-eight points are still there.”

“…”

Jiang Nan answered very seriously.

“Oh, eighty-seven-eight?”

The invigilator sneered, “This classmate, you’re so brash, you still want to score eighty-seven or eighty-seven in the exam?”

“To know……”

“This is not an ordinary exam, but an Olympiad.”

“Although it’s only the preliminary round, the difficulty is not low. The first place in previous years was only eighty-seven points.”

“Not to mention that I read the paper just now. The overall difficulty of this year is much higher than in previous years.”

“Predicted…”

“The first place is only eighty-five-six points.”

“If you can get into the eighty-seven-eighth, doesn’t it mean that you are the number one in this year’s preliminary contest?”

…

sp: Today is the end of 50,000 characters, I just want to ask, who else is there?

Poor Gou, the author, has suffered from three major terminal illnesses at a young age, mouth sores + herpes simplex + sweat herpes. As long as he stays up all night, he will all come out, but please give me some praise and small gifts for support and comfort!