Reborn Xueba, you don't really think that studying is difficult, do you?

Lin Bei didn't know Sun Xingyi's thoughts.

After all, Lin Bei didn't have his supernatural powers, and he didn't even look back from the beginning to the end.

Instead, from the very beginning, he devoted himself to the test paper, and then answered the questions quickly.

That's right, fast.

For others, it is like a tortoise to do the questions, even the first multiple-choice question is stressful.

Including Zhou Buyi, a god of learning, it took four to five minutes to solve the first question. As for the second and third questions, it took even longer.

But for Lin Bei, it doesn't say answering in seconds, but it's not too slow, and it's basically controlled within 1 minute.

Of course, it will take nearly 1 minute to do a multiple-choice question, which is definitely a lot slower than Lin Bei's mental calculation speed in the past.

However, Lin Bei was very happy.

"This paper is quite interesting."

"Although it is not too difficult, at least it is much more interesting than the Chinese paper in the morning."

"It should, let me satisfy my hunger."

This is Lin Bei's most sincere evaluation of the paper after he got the paper and quickly scanned the questions.

It has to be said that the quality of the test papers produced by the Mathematics Emperor Ge himself is different.

Although the difficulty is not too great, it is much more complicated and novel than Lin Bei's daily questions.

Maybe this kind of complexity and novelty, for others, is a headache and a heartbreak.

Even Zhou Buyi was trembling when he saw it, he couldn't control the trembling of his hands and feet, and even broke his defense.

Even a senior math teacher like Sun Xingyi commented that this paper was too difficult.

But for Lin Bei, it was excellent!

Really excellent.

The first time he saw the paper, he was overjoyed and couldn't control his inner impulse.

After all, he is not afraid of difficult or new questions, but he is afraid that the questions are too simple, too old-fashioned and boring.

For example, in the Chinese test in the morning, he was disappointed for a while because the questions were too simple.

However, the math test in the afternoon was still very interesting. The types of questions were novel and complicated, which made people fall in love at first sight.

Without a doubt, this is definitely the most interesting test paper he has ever seen, the kind that can satisfy his hunger.

and so……

Hearing that the exam had officially started, he ignored everything outside and started answering the questions with all his heart.

For the first question, choose C.

On this point, I believe everyone has no doubts!

After all, although this question is somewhat innovative and looks quite complicated, it is actually only averagely difficult.

The most formal method is to compare the sizes of a, b, and c using the scaling method. Although the amount of calculation is a bit large, as long as you are familiar with various scaling formulas, the problem will not be big.

And if you take a shortcut, it is Taylor's formula, but this formula is not learned in high school, so Lin Bei doesn't know it, so naturally he won't use this formula.

But he didn't use the scaling method either, he just drew three graphs in his mind, looked at the slope of the tangent line between the three when it was very close to 1, and then estimated and compared it.

Of course, this method has elements of opportunism, and the answer may not be accurate.

After all, there is not even a process.

It must be cool to answer in the sky.

But this is a multiple-choice question, and does not require a specific process, but only needs the answer to be correct, right?

When doing multiple-choice questions, you can use tricks when you need to be tricky. You can guess, estimate, draw pictures, and even use the method of elimination. Come here, make a fuss out of a molehill, and struggle for a long time before you get the answer.

Even if the answer is correct in the end, it will consume too much time and energy, and it will definitely not be worth the candle.

As for the second question, the answer is A.

Lin Bei took a little longer, close to 1 minute.

After all, there is really no tricky way to this question, you can only do calculations in your mind.

However, this operation is not complicated.

nothing more than...

【因为令　x　=0，得　y　=-2，令　y　=0，得x　=-2，所以A　(-2,0),　B　(0,-2),　IAB　=（√4+4）反=2√2反。】

【又因点P在圆(×-2)^2+y^2=2，所以设　P　(2+√2反cosθ，√2反sinθ)，所以点P到直线×+　y　+2=0的距离d　=……】

【所以△　ABP　面积的取值范围是：[12×2√2x√2，12×2√2×3√2]=[2,6]。

[So choose A. 】

Yes, it is that simple.

You only need to figure out the positional relationship between the straight line and the circle, and this question is actually no different from giving points.

And the above is only solution one, which is a little more complicated. In addition, there is solution two, which can be used to calculate the value range directly by using the method of maximum and minimum values.

And that way, the calculation is simpler.

So 1 minute is really enough.

If it wasn't for Lin Bei who wanted to control his speed to prevent this delicious delicacy from being eaten too quickly and unable to fully enjoy it, half a minute would probably be enough.

As for the third question, there is no need to say more.

The curve equation problem is as difficult as the sky for ordinary people, and it is often difficult to know what to do. Even if it can be done, it will take an unknown amount of time.

But for Lin Bei, that's all.

Even though this question was a bit complicated, it took him less than 1 minute to complete option D.

that's it……

He has been maintaining a speed of less than 1 minute, about 50 seconds for one question, and it took only 10 minutes to finish 12 multiple-choice questions, and came to the fill-in-the-blank questions.

The fill-in-the-blank questions are the same as the multiple-choice questions. They are quite novel and have certain complexity, which can make people's eyes shine.

As a result, Lin Bei tried his best to control his speed, not to let himself go too fast, and finish it all at once.

After all, if you want to encounter such an interesting question next time, you don’t know when, so you have to savor it!

Therefore, it is basically a question of 1 minute.

At 2:14, there were four fill-in-the-blank questions.

Then it is to answer questions 17-21.

Answering the questions is definitely more complicated than choosing to fill in the blanks, but it is not beyond Lin Bei's scope.

Probably, that is, one piece in 3 minutes!

The five questions add up to 15 minutes, plus 4 minutes to fill in the blanks, it is 19 minutes.

Well, less than 20 minutes.

If 10 minutes of multiple-choice questions are added, it will be 29 minutes, which has not exceeded 30 minutes.

This time is 2:29.

It was also the time when the invigilator Zhou Xingyi confirmed that Lin Bei had answered all the multiple-choice questions correctly, and returned to Lin Bei's side.

Seeing this scene, Zhou Xingyi was completely stunned.

But Lin Bei didn't care, and only started to answer the last big axis question with great interest.

"22: It is known that the function f(x)=e^2-ax has the same minimum as g(x)=ax-lnx."

"1: Ask for a."

"2: Prove that there is a straight line y=b, which has three different intersection points with two curves y=f(x) and y=g(x), and the abscissas of the three intersection points from left to right are equal difference series."

Is this difficult?

It is estimated that most people do not know.

Because they can't even read it, how do they know whether the question is difficult or not?

However, Lin Bei only looked at it for three seconds before he couldn't help laughing, "Giggle, this question is really good. Not only can it satisfy my hunger, but it can also satisfy my hunger."

"After all, the test points are much more complicated than the previous questions. It is indeed the last big axis question."

"I'm afraid I can't do it in 3 minutes. I guess it will take a while. Well, it's 5 minutes!"

"(￣y▽￣)~* cover your mouth and laugh."

Lin Bei snickered and began to answer the questions.

It is worth mentioning that the difficulty of this question is much higher than the previous ones.

After all, the sequence and inequality are integrated in the derivative, and it is necessary to construct a special function to solve the comprehensive problem of the hidden zero point of the transcendental equation, which is still very complicated.

For ordinary people, if you have time, just do the first question, and it is best not to even read the second question.

After all, it is really a waste of time not to mention, and it will lead to a bad mentality, which is really too difficult.

If you have this time, don’t you think it’s good to do what’s ahead and try to get all the points you should get?

of course.

People like Lin Bei who have completed all the previous questions and are confident that they can get full marks are definitely excluded.

This big axis question is indeed quite complicated, but it is precisely because of the complexity that it arouses Lin Beibei's great interest.

Without further ado, let's go straight to work.

"Solution: f`(x)=e^xa, g`(x)=a-1/x, since f(x) has a minimum value, so a>0."

"So x belongs to (0, 1/a), f`(x)<0, f(x) decreases monotonically; x belongs to (lnx, +∞), f`(x)>0, f(x) monotonically Increment."

"x belongs to (0, 1/a), g`(x)>0, so g(x) is monotonically increasing, x belongs to (1/a, +∞), g`(x)<0, then g( x) is monotonically decreasing.”

"So f(x)min=f(lna)=e^lna-alna=a-lna; g(x)min=g(1/a)=1-ln1/a=1+lna."

"Then establish an inequality between the two, and set it as the third function h(a), then a=1 can be calculated."

The pen walks the dragon and snake.

It is definitely a pen and a snake.

This first question is really nothing to say.

Even though the value of a is further required in terms of monotonicity, it remains the same. As long as there is no problem with monotonicity, just follow the steps, which is very simple.

As long as you have a better attitude, don't be afraid of difficulties and be serious, you can do this part.

and so……

After Lin Bei only spent 1 minute to finish it, he stopped reading and began to write non-stop on the second question.

In comparison.

The second question is much more complicated. After all, this is a question that distinguishes the gap between top geniuses and geniuses.

And the second question of the main axis question this time is much more difficult than the second question of the main axis question in the monthly exam last time.

After all, in the last monthly exam, the teachers of No. [-] Middle School set the questions independently, but this time, Uncle Ge set the questions for the joint exam.

The two are not comparable at all.

But it only took Lin Bei 4 minutes to get it done.

The last question took a total of 5 minutes, which was exactly the time he expected.

This is the end.

Lin Bei finished his second math test. He looked up at the blackboard and found that the hands of the clock were at 2:34.

Well, it's more than half an hour, and it takes 2 minutes longer than the last monthly math exam.

And the current strength of Lin Bei is many times stronger than the strength of the last monthly exam.

But even though he has such a strong strength, it took 34 minutes, which shows the difficulty of this paper.

~(￣▽￣～)(～￣▽￣)～.