The two of them were chatting like this, and before they knew it, the class bell rang.

In the next two days, apart from doing questions, Zhao Xiancai spent at least half of his time reading English and Chinese.

In order to save points, Zhao Xiancai did not study these two subjects systematically, so his progress was relatively slow.

The college entrance examination is on June 7th and 8th. Because the candidates need to be familiar with the examination room, and the school that serves as the examination room also needs to arrange the examination room in advance, so Zhao Xiancai and the others have a holiday from the 6th to the 8th.

Because the Dragon Boat Festival falls on Wednesday on the 12th, the three days off are on the 10th, 11th and 12th. The 10th and 11th are both moved from the two-day weekend of the 8th and 9th, so although the 9th

It's Sunday, but there is still a day of classes.

And because the high school entrance examination in the city where Chengxian County is located is held on June 14, 15, and 16, there is also a need to set up the examination room on the 13th and allow students taking the high school entrance examination to see the examination room the day before the exam starts, so there is no need to go there on the 13th.

School.

In this way, just for the Dragon Boat Festival and the high school entrance examination, there will be a week's holiday.

Even if it is a seven-day National Day holiday, four days have been moved from weekends. As for this seven-day holiday, I only need to make up one day of classes on the 9th, which can be said to be a huge profit.

When I go back to school after the high school entrance examination, it will already be the 17th, and June is already halfway over.

Time soon came to Wednesday afternoon, and as the bell rang for the last class of the day, the holiday that the students were looking forward to came.

Zhao Xiancai is also planning to use the holidays of the college entrance examination, Dragon Boat Festival and high school entrance examination to intensively study the content behind Chinese and English.

For Chinese, you only need to read the content to be learned later and memorize the ancient poems and essays that need to be memorized.

For English, just memorize the words you want to learn later, and then read all the English texts in the textbook. Zhao Xiancai thinks it should be about the same.

With his current intelligence of six points, plus the [Study Well] upgraded to LV3, the ability to increase the overall intelligence attribute by 20% in the immersive learning state.

When he entered the immersive learning state and studied seriously, his intelligence reached more than seven points.

Even without systematic learning, the learning speed is already very fast.

If this doesn't work, then he will spend some more points to learn with the system.

According to Zhao Xiancai's estimation, by that time, he would have read all the books he should read. Even if he uses the system to study, he should not be able to get a few points.

Just as Zhao Xiancai was on his way back to his residence, thinking about his subsequent study plan for Chinese and English, the system issued a task.

[Achieved full marks in the 2013 National High School Mathematics League Anhui Province Preliminary Competition]

"Not only is this task coming later and later, but the time required to complete it is also getting later and later. Even if I want to complete it earlier, I can't."

After seeing the mission released by the system this time, Zhao Xiancai thought to himself.

Fortunately, Zhao Xiancai can complete the two tasks of ranking first in the school in the final exam and completing high school science knowledge this month and early next month.

While waiting for the tenth task released by the system to arrive, he can also wait for other tasks released by the system.

"However, if the difficulty of this year's preliminary test questions is the same as in previous years, then it won't be too difficult for me to get a perfect score."

After receiving the mission, Zhao Xiancai thought again.

"I'll come and study with you tomorrow, okay?"

Just as Zhao Xiancai was walking and thinking about the system, Yu Shujun beside him suddenly spoke in a low voice.

"What?"

Hearing Yu Shujun beside him whispering something to him, Zhao Xiancai quickly turned his attention from the system to Yu Shujun.

Because Zhao Xiancai's mind was no longer here when Yu Shujun spoke just now, so he didn't hear Yu Shujun's words clearly.

Fortunately, Chengxian No. 1 Middle School was not built next to a main road, otherwise Zhao Xiancai would often get distracted while walking like this, and something would have happened a long time ago.

"There are still some things I don't understand about my studies. Can I come to you tomorrow?" Yu Shujun asked again, but what she said changed.

"Okay, no problem.

If I don’t go home during the holidays, I usually read and study here and don’t go out. You can come anytime.”

Zhao Xiancai said.

Hearing what Zhao Xiancai said, Yu Shujun also showed a smile on her face, and continued to say to him: "There is only so much time left in this semester, and I don't know how long you can stay in school next semester.

Now the times I ask you will become less and less. I definitely want to get more of your talent.

But after all, you yourself have something to be busy with, and it won’t bother you if I keep looking for you, so I’d better talk to you nicely before looking for you.”

"It's okay." Zhao Xiancai said while thinking in his heart that he should try not to pay too much attention to the system in crowded places in the future, so as not to cause any trouble one day.

…

When Zhao Xiancai returned to his residence, his mother asked him curiously: "Is the girl you were with just now your classmate?"

It seems that Zhao Xiancai's mother saw Yu Shujun chatting and laughing with Zhao Xiancai today.

"Well, her previous grades were not good either.

After my grades improved, the head teacher moved her seat to behind me and asked me to help her.

Her house is right in front of that, so now we usually walk together after school."

Zhao Xiancai replied.

"oh……"

After hearing her son's explanation, Zhao Xiancai's mother nodded and did not continue talking about this matter, but told him about another thing.

"Your cousin will take the college entrance examination this year. She and her mother will come to the county town tomorrow and stay at your uncle's house.

It just so happens that you are on holiday now, I will also go to your uncle's house tomorrow, will you go?"

Zhao Xiancai's mother asked.

"I still have to study, so I won't go." Zhao Xiancai said.

…

"If you feel that you cannot express it directly as x=f(y) for a question like this on how to find the inverse function, you can try treating the piece that you feel cannot be separated as a whole.

For example, in the current question, the first question asked you to find a. You have already found it, a=1, and you know that f(x) is an expression that does not contain other unknowns.

Now y=(2^x-1)/(2^ 1) you can't directly use your existing knowledge to write how much y is equal to x, then you can try to think of 2^x as a whole and find out 2 first

^x is equal to an expression containing y, and then x can be extracted separately.

If you are not used to it yet, you can first set 2^x=t, so that y=(t-1)/(t 1).

Are you familiar with this kind of topic?

Can we write t=f(y)?"

On the first day of vacation, Yu Shujun came to Zhao Xiancai to ask questions.

In the room at this time, Zhao Xiancai was explaining a mathematical problem to Yu Shujun.

This is a question about functions. There are three questions in total. These three questions are in a progressive relationship.

Even if this question directly asks the third question, and you want to use high school knowledge to answer it, the process of asking the first and second questions is still unavoidable.

Generally speaking, if there are several questions in this kind of high school answer questions, the first question is usually one of the necessary conditions to answer the following questions, which can be regarded as reducing the difficulty of the question.

After Zhao Xiancai finished speaking, Yu Shujun nodded in realization and began to write.

After Yu Shujun finished writing, Zhao Xian took a look at it and continued to say to her: "Yes, you see, as long as you replace this 2^x with t, you will know what to do.

In fact, mathematics is not difficult in nature. The difficulty lies in whether you can think in a different way. Do not be stubborn when doing mathematics problems.

Now that the inverse function of f(x) has been found, then for the third question, 'Solve the inequality f^-1(x)>log2(1 x)/k for any k∈(0, ∞)', you can also solve it yourself first

Do it and see.

In fact, now that we have found the inverse function of f(x), this third question is not difficult."
Chapter completed!