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There are only three teaching buildings in Shimizu High School, the teaching buildings of the first year of high school are separated, and the teaching buildings of the second and third years of high school are consecutive. The name of the school is to let the students of the second year of high school get in touch with the life of the third year of high school as soon as possible and take this as an example.

However, because the last senior year of high school has been sent out, Wu Gang's sophomore students moved directly to the classroom of the third year of high school after completing the academic proficiency test. The teaching building of the first year of high school is a little far from here, so I haven't had time to transfer to the floor of the second year of high school.

Therefore, there is only one office in this floor of the teaching building, where the teachers who are teaching will rest.

At this time, it was class time, and the aisle was empty, and even the teacher had gone to class, so Wu Gang's heavy closing of the door was heard by no one except Liu Ruyin.

Wu Gang held the office door behind his back, one hand was still on the armrest, his eyes were closed, he took two deep breaths, and after a long while, he opened his eyes, and all the expressions in his eyes were suppressed, leaving only deep black eyes.

A young face that is not handsome, but very delicate and has not grown, is also constantly changing shape with the corners of the mouth, and finally, a mouth is pursed into a slit, and the chest raised high with the last deep exhale, slowly lifted down, opened his eyes, and at the same time let go of the right hand pulled on the armrest.

Wu Gang walked out, ready to wash his face, and when he walked in the stairwell connecting the second and third years of high school, he happened to meet Ye Laixiang who came up from the corner of the stairs.

At this time, Ye Laixiang was obviously in a good mood, with a shoulder bag hanging on his right shoulder, whistling, and his chin was very clean, obviously he had cleaned it up while eating breakfast.

When Wu Gang saw Ye Laixiang, his body was slightly stunned, and he shouted with some weakness: "Teacher Ye." ”

Ye Laixiang was obviously stunned, glanced at Wu Gang strangely, and stopped after walking to the top step: "Wu Gang, you are not in the classroom for the exam, what are you running out for?"

The corners of Wu Gang's mouth squirmed slightly, and he explained in a low voice: "I was called into the office by Teacher Liu, and now I will enter the classroom after I am ready to go to the toilet." Wu Gang didn't prepare to make a small report, and he didn't explain much.

Ye Laixiang's image of Wu Gang was not bad, and he nodded immediately: "Go and come back quickly, the exam is important." I'm going to talk to Mr. Liu. ”

Ye Laixiang is also a smart person, and he guessed a rough idea from Wu Gang's somewhat evasive expression. Moreover, it was the time for the exam, so he didn't pull Wu Gang to ask carefully.

Wu Gang trotted to the toilet, and then put his hand into his trouser pocket. Immediately, his eyes lit up, and he quickly took out the small bottle that felt very familiar. Then he didn't care about looking at it and thinking about it, so he threw it directly and quickly into his mouth.

Immediately afterwards, Wu Gang washed his face, shook his hand, and went directly into the classroom.

About ten minutes passed when Wu Gang came out of the classroom, and no one thought it was strange that he was released at this time, after all, even if he cheated, he would eventually be released.

When Wang Jie, who was seriously working on the question, saw Wu Gang, he glanced at Wu Gang provocatively, and then continued to gnaw on the topic silently.

Bai Ming blew slowly, walked directly down the aisle to his exam table, and then took the pen and looked at it carefully.

Question 3.

It is known that f(x) and g(x) are even and odd functions defined on R, respectively, and f(x)-g(x)=x?+x?+x, then

f（1）+g（1）=？

This is a functional problem, which is actually not difficult, but it requires a certain amount of understanding.

Wu Gang quickly calculated in his mind at this time. First of all, the equation related to 1 is required, and f(x) is an even function, then, there is f(-1)=f(1), and g(x) is an odd function, so there is g(-1)=-g(1).

Thus, f(1)+g(1)=f(-1)-g(-1).

Come on!

Wu Gang's eyes lit up, and when these numbers passed quickly, the time was not even twenty seconds.

Bring -1 to the equation in the problem, and the final answer is: -1+1+1=1.

The answer is C.

Wu Gang quickly drew an arc on the test paper, and the corners of his mouth, inadvertently, also drew an arc, slightly lifting it upward, as if doing this kind of question was a kind of enjoyment.

The fourth question is to find coefficients. That is, to find the coefficient of a certain relation, which is related to permutations and combinations.

The problem is: the coefficient of x?y?in the expansion of the fifth power of (?x-2y).

Wu Gang's mind at this time was as if he had been baptized by holy water, and various formulas and knowledge points quickly crossed by, and a knowledge point that had been deeply imprinted in his mind jumped out.

This kind of question is equivalent to choosing two X's from five people, and then, the other three Y's, so as long as X is located, X has two positions, the first position has five possibilities, and the second X has the remaining four possibilities. Eventually, a minus sign is added.

So, the answer is: -20.

A!

Question 5, Easy, Comprehension Question: The answer is D.

Question 6, Question 7!

All the way to the fifteenth question, Wu Gang did not pause for a moment, and the time spent was only ten minutes, and the score occupied by the fifteen questions was already 65 points. Because, as long as you choose two of the first three questions, even if all three questions are correct, they will only be counted as two points.

65 points, according to this ratio, even if Wu Gang wasted ten minutes, the time spent was only 25 minutes, and Wu Gang would never have been able to do it so fast, and there was such a high accuracy rate.

Unconsciously, Wu Gang's mood was very happy, and then he directly threw the unhappiness caused by Liu Ruyin behind him.

Continue to the question. As shown in Figure 4, the side lengths of the square ABCD and the square DEFG are a, b(a0) through the two points of CF, and b/a is obtained.

This is a question of finding a ratio.

At first glance, such a question is very difficult, if it was Wu Gang before, he would not have been able to start at all, but after reading it, Wu Gang had not found any clue, but felt very interested.

Continue to understand the question.

First of all, it is already known that the parabola passes through the two points of CF, so the two points of CF must satisfy the equation of the parabola, and the coordinates of the two points of CF are ......

Brought into the equation, although p is unknown, p can be used as an intermediary point, because the value of p must be waited for in the end, so that we can know that a and b are a relation to p.

Then, again, the final p can be eliminated.

Final answer: b/a=1+√2

After checking it and finally confirming that it was correct, Wu Gang quickly started the next question, which was the finale of this fill-in-the-blank question.

This question is a bit difficult and takes more time, but after eight minutes of hard fighting, Wu Gang solved the final answer.

After seeing that he had perfectly answered the multiple choice questions and fill-in-the-blank questions in the test paper, Wu Gang couldn't help but breathe a sigh of relief, this feeling was simply not too pleasant. Although he felt that his head was slightly swollen, Wu Gang felt that his thinking was extremely clear, and he could slowly list all the formulas that should be used for each step and how to deform them.

The most important thing to do is the idea, with the idea, there is no problem.

Wu Gang wanted to shout, cool!

Ps. children's shoes chasing more, are there any free appreciation tickets and pen fun pavilion www.biquge.info coins~ The countdown to the 515 red envelope list is over, I'll pull a ticket, ask for an increase and appreciation vote, and finally rush it!