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

1: Let the set M={x0<x<4}, N={x≤x≤5}, then M∩N=( B ).

A：｛x0＜x≤1/3｝；B：｛x1/3≤x＜4｝。

C: {x4≤x<5}; D{x0<x≤5}.

5: It is known that F1 and F2 are the two foci of hyperbola C, P is a point on C, and ∠F1PF2=60°, PF1=3PF2, then the eccentricity of C is ( A ).

A: √7/2; B: √13/2.

C: √7; D: √13.

12: Let the domain of the function f(x) be R, f(x+1) is an odd function, and f(x+2) is an even function.

当x属于【1，2）时，f(x)=ax^2+b,若f(0)+f(3)=6,则f(9/2)=（　D　）。

A: -9/4; B: -3/2.

C: 7/4; D: 5/2.

……

It's the same as the college entrance examination.

The math paper for this month's exam is also 12 multiple-choice questions, covering almost all the key points of high school.

Normally, the difficulty will gradually increase from front to back. When it comes to the finale of the 12th question, it is difficult for ordinary candidates to do it, because this is a question that increases the score.

But Lin Bei only took one look at it, and wrote the correct answer without even touching the draft paper.

Don't ask why is the correct answer.

After all, with Lin Bei's current mathematical prowess, is it possible to make a mistake in such a simple multiple-choice question?
Even from the start of the exam to the present, it has only been 6 minutes, with an average of 30 seconds for a multiple-choice question.

Among them, 10 seconds are for reading the questions, and 20 seconds are for solving the questions.

Then, fill in the blanks.

13：曲线y=(2x-1)/(x+2)在点（-1，-3）处的切线方程为_______。

Answer: 5x-y+2=0.

14:14. Known vector a=(3,1), b=(1,0), c=a+kb, if a⊥c, then k=_________.

Answer: -10/3.

……

16: Part of the image of the known function f(x)=2cos(wx-n) is shown in the figure, then the condition is met...then f(x)...the minimum positive integer x is _________.

Answer: 2.

2:10 points, the four fill-in-the-blank questions are over.

Keep the rhythm of one question per minute, not too slow, but not too fast, the speed is average!
After all, too fast is not good.

Lin Bei is fine, but the colorful eternal pen and the answer sheet are about to catch fire from friction, I'm afraid I can't stand it!

to this end.

Lin Bei can only slow down the rhythm as much as possible, and give the colorful eternal pen and answer sheet time to cool down.

Then, it's time to answer the questions.

Mathematical solutions.

It can be regarded as high (super) in this math test.

17-21, a total of 5 questions.

Each question is worth 12 points, for a total of 60 points.

Add the optional questions of 10 points (22 or 23) in the back, and you can do one of them, that is 70 points.

As we all know, most of the math problems are easy first and then difficult, but there are also situations where the first is difficult and then the easier.

Therefore, when solving problems, we must learn to examine them.

If you encounter a problem that is too difficult in front of you, and you can't solve it for a long time, you can skip to solve the latter problem first.

But Lin Bei doesn't need to think about these.

He directly pushes the world with his invincible resources.

only see...

Question 17 is a probability question. There are two questions in total. It looks quite complicated. It is a table and a graph.

But it only took Lin Bei 2 minutes to get it done.

Question 18 is a series question, three conditions are given, let choose the second, and prove the third condition.

This kind of proving series question is still difficult for ordinary people.

After all, this is much more complicated than probability problems.

There are not dozens of lines, and it is estimated that they may not be able to handle it, so the logical thinking ability of candidates is required to be relatively high.

If you are not proficient in the number sequence, even if you can prove success, it will definitely take a long time.

According to the standard of answering questions in the college entrance examination.

Top students need 10 minutes to solve this problem, while ordinary students need at least 15 minutes.

But Lin Bei can get it done in less than 3 minutes.

At this time, the time is 2:15.

Next is question 19, which is a geometric proof question. The first question proves verticality, and the second asks for the smallest sine value.

The college entrance examination answer standard is also 10 minutes.

As for Lin Bei, it was also done in 3 minutes.

Question 20 is a parabolic equation question, combined with geometric figures, it is definitely the kind that adds difficulty.

The college entrance examination answer standard is 15 minutes.

But it took Lin Bei 5 minutes to solve it.

At this time, the hands of the clock on the blackboard just pointed to 2:23, less than half an hour before the start of the exam.

Fortunately, no one around saw it.

Otherwise, the eyeballs will definitely be scared out.

After all, according to the standard of answering questions in the college entrance examination, it takes about 12 minutes for only 40 multiple-choice questions.

But it took Lin Bei only 23 minutes to get to the final question, which is question 22.

This is simply, inhumane!

It would not be an exaggeration to say that he was insane.

A proper super fast guy, he was ranked second in the third year of his junior year, the kind that no one dares to be the first.

It's terrifying to turn your fighting spirit into a horse.

Refers to the dog transforming into a dragon, appalling.

There are only three words to describe it, that is: Absolute son.

And question 22 is definitely the most difficult question in all mathematics exams, and it is specially aimed at top students.

Ordinary students, read the first question desperately, and don't read the second question, because reading it is also a waste of time.

Is it the finale after all?
The question is not difficult, how can it be called the finale?
Mathematics in the college entrance examination is to rely on this second question to screen out what is a real top student in mathematics.

As for the topic type.

It doesn't take much to say that everyone knows it.

90.00% Ninth is a function question. The first question asks more about the monotone interval, and the second question asks for the value range.

The former is a question of air supply, and the latter is a question of pulling points.

only see...

21: It is known that a>0 and a≠1, the function f(x)=x^a/a^x, (x>0).

(1) When a=2, find the monotone interval of f(x);

(2) If there are only two intersection points between the curve y= f(x) and the straight line y=1, find the value range of a.

The first question is, there should be no one, right?

This is really rewarding.

Just two words, [Seek Guidance] will do.

If you don't even know how to seek guidance, it can only be said that you don't work hard enough on weekdays, and you are probably learning water just like Lin Bei once.

But now Lin Bei...

With just a glance, the answer is already on the answer sheet with a swipe of the pen.

[Solution (1), the domain of f(x) is (0, +∞), because a>0 and a≠1, so f'(x)=(ax^(a-2)a^xx^a* a^x*lna)/(a^x)^2, and lna≠0. 】

【当a=2时，f’(x)　=-xln2(x-2/ln2)/2^x，所以f(x)的单调递增区间是（0，2/ln2），单调递减区间是(2/ln2，+∞)。】

That's right.

The first question is as simple as that.

The solution to all changes is to seek guidance.

If you can't get these, then you are either fishing for fish in the ditch or fishing for shrimp in the deep sea.

Needless to say, the kind that is full of blindness.

Relatively speaking.

This second question is a bit more complicated, after all, it is a score-drawing question, which can eliminate most of the reference candidates.

But after Lin Bei glanced at it, a trace of disdain flashed in his eyes, "The second question in the finale, is this the difficulty?"