Chapter 4 Mathematics Examination

"Ah, no, teacher, you didn't say you had an exam today!"

"Teacher, no, I'm not prepared at all!"

"..."

Although this was not the first time for the students in the classroom to experience such a sudden attack. After nearly a year of being in the senior year of high school, everyone had adapted to such an exam, but everyone still instinctively made a protest. , this is basically a sense of ritual.

"You are not ready yet, so you can all go home and plant sweet potatoes. Why are you sitting here?"

The math teacher had long been used to the reactions of these students and calmly responded to them.

"This test paper is a joint entrance exam for the top ten prestigious schools in the north. It contains very high value and can test everyone's current level. Please take it seriously and test your true level! Again, the same sentence , every exam must be treated as a real college entrance examination!”

After handing out the test papers, the math teacher gave another serious warning.

After hearing the words of the math teacher, the expressions on the faces of the students who were still a little careless suddenly became serious. The joint entrance examination of the top ten prestigious schools in the north has always been regarded as the weather vane of the college entrance examination. In the past few years, Most of the college entrance examination test points in the college entrance examination overlap with their joint entrance examination, and even the question types are the same in some cases.

Such a paper must be taken seriously and must not be treated as a usual quiz.

Everyone immediately cheered up and began to answer the questions seriously.

Chen Yu's expression became more serious.

No matter what , I must work hard to get full marks this time!

After mentally cheering himself up , Chen Yu took a deep breath, calmed down and started answering the questions.

The mathematics test paper of the Daxia National College Entrance Examination is divided into three major questions: choice, fill-in-the-blank, and answer questions. There are 12 multiple-choice questions, including 8 multiple-choice questions, 4 questions with indefinite items, and 4 fill-in-the-blank questions. Each choice-fill question is worth 5 points. 2 points are awarded for selecting one of the indefinite items, 5 points for selecting all, and no points for wrong selections. There are six questions to answer . The first three questions are 8 points each. The scores for the next three questions are increased one by one, which are 10 points, 12 points, and 14 points respectively. point.

All mock papers and joint examination papers are based on the college entrance examination template.

After filling in the blanks, Chen Yu couldn't help but sigh in his heart. It was indeed a joint examination for ten schools . The questions were really tricky, especially some of them, which were extremely difficult to solve and required a lot of calculations. Ye Da, if your mind is not firm, your mentality may be about to collapse.

But this has nothing to do with him.

Lower your head and continue to answer the questions . The first four questions are about solving triangles, sequences, probability, and solid geometry. They adhere to the style of filling in the blanks. They are flexible and require a lot of calculations. For ordinary students, it will cause some psychological problems. Shadow, but it was no difficulty for Chen Yu and he could get it done effortlessly.

Question 21: Analytical Geometry. The question is extremely simple, but the two questions are quite tricky. At first glance, it may seem difficult to start. You must have a very deep understanding of the characteristics of several conic sections, and there is no requirement for a textbook. Only when you have a certain understanding of the characteristics of the Mongolian circle can you quickly see through the essence of the problem. Even if you can see the essence, there are still several traps in the calculation. You must use some calculation skills and certain characteristics of conic sections. Solve it, otherwise the calculation amount will be extremely huge and you will collapse!

It took Chen Yu nearly ten minutes to solve this problem. There was no way. Although Chen Yu saw through the essence of the problem in less than a minute and found the solution to the problem, it took him three or four minutes to finalize the idea on the draft. is correct, but the problem-solving process is too long. It takes five minutes just to write. This is because Chen Yu used the simplest way to calculate. Otherwise, it would take 10 minutes just to write.

Question 22 is the so-called finale question.

"It is known that f(x)=a(x- lnx )+(2x-1)/x², a is a real number.

(I) Discuss the monotonicity of f(x);

(II) When a=1, prove that f(x)>f"(x)+3/2 is true for any x greater than or equal to 1 and less than or equal to 2"

Huh?

Chen Yu couldn't help but be stunned when he first saw the question. Are the questions in the joint examination of the ten schools so difficult?

He happened to have done this type of question. The question seemed simple, but it was quite difficult to solve . The average student might not be able to solve it at all!

It's none of my business, it doesn't bother me anyway.

　　After being stunned for a while, Chen Yu came to his senses, lowered his head and looked at the question again, sorted out his thoughts in his mind, and then Chen Yu began to solve the problem.

The first question is about analyzing monotonicity. There is nothing to say. The first step is to find the derivation. The second step is to classify and discuss the parameters and get the results. This is the key and the difficulty. You must be careful. You may lose points if you are not careful. Chen Yu would never allow himself to make mistakes and lose points.

The third question is to prove the inequality. It is the main task and is a bit difficult. However, with the foundation of the first question and the second derivation, it is easy to prove that the inequality is established.

It took more than ten minutes to solve the problem in one go.

After answering, Chen Yu let out a long sigh of relief.

Stretch, continue to lower your head, start from the first multiple-choice question, and start checking one by one to see if there are no careless miscalculations.

Chen Yu checked very seriously and almost had to do it again. There was nothing he could do about it. This exam involved not only his face, but also system points! System points can extend your life!

After Chen Yu checked it over and confirmed that there were no problems, it was time to hand in the paper.

………………

The math teacher collected the papers and left, but the classroom began to boil.

"Oh my God, this question from the Ten Schools Joint Examination is too perverted. It was not done by humans at all. Are the people who asked the question perverts? Are they deliberately trying to attack us!"

"After taking this paper, I realized that I was lonely in high school!"

"The teacher said to jump to the questions that you don't know how to solve. I jumped to the last question. The key is that I didn't find a place to stay on the last question. Wuwu..."

"..."

"Lao Wang, what do you choose for the 8th multiple-choice question? Choose A? Isn't it?"

"What's the answer to question 15 of the fill-in-the-blank question? Is it 1/2? What? Is it 3? It's over, it's over ! "

"..."

There was a large group of people wailing that the question was too difficult and scolding the pervert who had asked it. There was also a large group of people who were busy checking the answers. Each time they answered an answer, they let out a burst of screams. The whole classroom could be said to be gloomy and filled with sorrow. !

The questions in this exam were not difficult for Chen Yu, and Chen Yu didn't have the interest of those top academics to do well , nor was he interested in the answers. He opened the physics textbook and prepared to continue studying physics.

"Chen Yu, what did you choose for the 12th multiple-choice question?"

And just when Chen Yu was about to flip through the physics book, the girl sitting in the row in front of Chen Yu suddenly turned around and asked.

The girl's name is Yang Xinyi. She is recognized as the class beauty of Class 9 , Grade 3. Not only is she beautiful, but her academic performance is also good. She is ranked among the top five in Class 9 and among the top 50 in her grade. She is one of the school's young prospects to compete in top schools.

Every time after taking a math test, Yang Xinyi would come back to Chen Yu for answers. She would always come back to Chen Yu for math questions she didn't know, even if she only got over 100 points in the last math test that was exactly like Chen Yu's. Even lower than her, she still asked Chen Yu several questions in the past few days.

"A, D."

Chen Yu looked at Yang Xinyi with wide eyes and a sincere look on his face, and felt a sense of warmth in his heart. There were not many people in this class, or even this school, who made him feel warm, and Yang Xinyi was one of them.

Most people thought that Yang Xinyi always asked Chen Yu questions because she was superstitious about Chen Yu's former reputation as a mathematical genius, but Chen Yu knew that she actually encouraged him in this unique way, although she was very nervous every time she asked questions. She was sincere and had no flaws, but she could n't hide it from Chen Yu at all. Many of the questions she asked could be solved by her level. Once she was hurriedly called out by the teacher after asking the questions, and Chen Yu even directly asked her questions. She saw the answer to the question she just asked on her scratch paper.

"Ah? Isn't B right?"

Yang Xinyi was stunned for a moment.

"No, there is a trap in that option. The function is not continuous at that point, so it is not differentiable. It is wrong to calculate it based on the derivative!"

Chen Yu explained patiently. As he said this, he felt that it was not clear. He picked up the scratch paper and explained to Yang Xinyi. He definitely did not have such patience with other people and did not want to spend that time. After all, he was now Time is very precious, but Yang Xinyi is naturally different.

damn it!

Yang Xinyi asked that boy again!

Why does she trust that boy so much? The last model has proved that this so-called mathematical genius is nothing more than a waste!

Does she really like him?

While Chen Yu was patiently explaining the topic to Yang Xinyi, not far from where the two of them were, a handsome man stared closely at Chen Yu and Yang Xinyi, whose heads were almost touching each other. His face was so gloomy that he could Ink drips out.

Taking a deep breath, he stood up and walked towards the positions of Chen Yu and Yang Xinyi.

"Hey, Xinyi , I'm discussing with our math genius, can I join?"

Walking to Chen Yu's desk, the boy automatically stood next to Yang Xinyi and said in a very friendly tone. In addition, although he used a questioning tone, he had no intention of waiting for the two of them to reply. He directly said The head stuck out.

"Wang Ziwen, what did you fill in for question 15?"

Yang Xinyi frowned, a look of boredom flashed in her eyes, and she instinctively turned to the side to avoid the boy's approach, and asked a question at the same time.

This boy's name is Wang Ziwen. Because he lives in the same community as her, he always acts like he has a particularly good relationship with her in front of his classmates. She even heard that he secretly told others that they were childhood sweethearts, which made her very happy. Disgusted.

She knew that Wang Ziwen had that kind of thoughts about her, but she really had no feelings for Wang Ziwen at all, and she had already decided in her heart that she would never consider that aspect before graduating from college and would focus on her studies. superior.