Omnipotent Data

Cheng Nuo's problem solving speed was very fast.

Cheng Nuo didn't spend much energy on the first ten multiple-choice questions and the next five fill-in-the-blank questions, and took about ten minutes to finish them all.

The next six big questions. They are trigonometry, solid geometry, probability, sequence, analytic geometry, and derivatives.

They are all common question types in the exam, but the difficulty of the questions depends on the level of the teacher who made the questions.

Obviously, Uncle Ge's ability to formulate questions has been tested by several generations, and it is definitely as difficult as it can be.

Within the scope of the exam, try to make the questions as difficult as possible!

This is Uncle Ge's questioning criteria.

I'm not afraid of dying for you, but I'm afraid of not crying for you!

Cheng Nuo shrugged, turned the test paper to the back, took a sip of water comfortably, and then pulled the untouched draft paper in front of him.

Big question, start!

"Assume the function F(x)=sin(wx-π/6)+sin(wx-π/2), where 0 is less than w and less than 3, it is known that F(π/6)=0

(1) Find w

(2) Extend the abscissa of each point on the image of the function y=F(x) to twice its original size (the ordinate remains unchanged), and then translate the obtained image to the left by π/4 units to obtain the function The image of y=G(x), find the minimum value of G(x) on [-π/4, 3π/4]. "

This is a very basic trigonometry question.

Cheng Nuo didn't even need to calculate on scratch paper. Calculate the correct problem-solving steps directly in the brain.

For the rest, all Cheng Nuo needs to do is to "copy" the answer in his mind onto the answer sheet.

…………

The exam time is passing by every minute and every second.

During the two-hour math test, even if a set of test papers of ordinary difficulty is given to the candidates, before the bell rings at the end of the test, regardless of whether they are right or wrong, the candidates who can complete all the questions on the test paper may account for 10% of the time. % of the number of people is not bad.

Not to mention this year's set of topics. Compared with previous years, the difficulty is not known how many grades are higher.

Even the group of top students in the grade test is not even 50% sure that they can complete all the questions.

Even Old Tang told everyone in Class 18 a few days before the exam.

If the math test paper this time is too difficult, try to pick up what you can do. For questions that you don't know how to do, don't be iron-headed, and don't feel sorry, just skip it! Just as if there was no such question on the test paper, ignore him for now.

If there is time left at the end, go back and try to do it again. If you don't have time, just write something casually and get a formula score.

A big question at the end of the finale, give up strategically!

Generally speaking, the difficulty of the last major question is the most difficult question in a set of test papers.

The first question is pretty normal, and if you do the math, you can still figure it out. As for the second question...

It can directly make you doubt life!

The finale topic is so delicate that it makes no mathematician bow down! This sentence is not just a joke.

…………

The time came to the 30th minute.

While other candidates were still struggling with choosing or filling in the blanks, Cheng Nuo had already reached the last question.

This is a question about derivatives.

"It is known that the function f(x)=(x-2)e^x+a(x-1)^2 has two zeros.

(1) Find the value range of a

(2) Let x1 and x2 be two zeros of f(x), prove that x1+x2 is less than 2. "

This question is very simple at first glance, and the conditions and questions given are very concise. But in fact, the difficulty of this question is not small, and the first question alone consumes a lot of calculations.

but……

He forced him to be strong, and treated him like a melon!

He let him do what he wants,

Treat him like a melon!

Cheng Nuo has learned the true teaching of Guapi Dafa.

In front of him, all mathematical problems are nothing.

"This question directly uses Lagrange's median value theorem, plus Taylor's formula for Peano's remainder, and then..."

Cheng Nuo muttered while doing calculations in his mind.

It is worth mentioning here that after some reforms in the college entrance examination system, candidates are allowed to use solutions outside the scope of the high school syllabus when answering science questions.

Take a chestnut.

L'Hopital's law, as we all know, is a law of seeking the limit.

The indeterminate value is determined by the extreme values ​​of the derivation of the numerator and denominator respectively.

In the question of derivation, it is very common to find the limit of the comparison between two numbers.

If you use L'Hopital's law, you can easily get the answer.

Can……

L'Hopital's rule does not belong to the scope of high school syllabus, but a formula that can only be learned in college high mathematics.

Before, L'Hopital's rule was not allowed to be used in the college entrance examination. Once used, two points will be deducted.

But what is very painful is that if this L'Hopital's rule is not used, it will take a lot of calculation steps and time to solve the answer in an extremely complicated way.

Do you choose to deduct two points, or choose to spend more time?

This is a dilemma for Xueba.

However, after the reform, this situation does not exist anymore.

For the college entrance examination questions, you can use the knowledge points of the university to do it. Even as long as you know how, you can use the knowledge points of graduate students to do it!

However, if you do this, you also have to bear certain risks.

If the answer is correct, it is good to say that the marking teacher will go through your problem-solving steps by himself to see if the super-class knowledge used is reasonable.

The answer is wrong, sorry, no matter how well you use the super-class knowledge in front of you, no matter how flawless it is, it is still... zero points!

Because if the result is wrong, the marking teacher will not look carefully at your problem-solving steps, let alone have the time to study which formula you used.

Therefore, unless there is really not enough time, in order to save time, some people will try to use the super-class knowledge.

Fortunately, Cheng Nuo not only used it, but also used almost the entire test paper once he used it. It doesn't hurt to get zero points for the wrong answer.

……………

"It's over, close up!"

Cheng Nuo wrote the last stroke on the test paper, put down the pen, and slowly laid the test paper neatly on the table.

Slowly press down on the dantian with both hands, and let out a breath.

He raised his wrist and looked at the time, it was 15:41.

Only 41 minutes have passed since the exam started.

Cheng Nuo looked up and looked around the examination room for a week, and found that almost all the examinees were doing the questions with their heads down. Some were scratching their heads anxiously, and some were sweating profusely writing and drawing on the draft paper. Anyway, no one seemed relaxed. look like.

Cheng Nuo moved the chair back, found a very comfortable position and leaned on the back of the chair, crossed his legs, picked up the thermos bottle on the window sill, unscrewed the cap, blew on the hot air gently, and took a small sip Take a sip.

"Ah~~"

Cheng Nuo let out a soft moan in comfort, squinted his eyes, and looked as if he couldn't be more comfortable.

………………

PS: The sign less than is harmonized, so it can only use text.

The college entrance examination plot ends tomorrow!

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