There are many parking spaces for sale in the community where Jiang Lili is located, and external vehicles can also be parked according to the billing payment. Yi Yang parked the car in a homeless parking space not far from Jiang Lili's parking space.

In the underground parking lot, the three of them entered the elevator together. On the first floor, an old aunt walked in with her grandson.

The old aunt had white hair, but her waist was straight, and she looked quite elegant. She had a friendly look with the three people in the elevator, and then said to her grandson: "Yangyang, what floor do we live on?"

The child is a boy of three or four years old. He caught up and said cleanly and shyly, and obediently: "Floor 17."

Seeing this scene, Yi Yang couldn't help but think of his grandmother. When he was young, his grandmother also coaxed him like this.

The old aunt picked up her grandson, the little boy found the number 17 and pressed it hard.

“Yangyang is awesome.”

Seeing this scene, the three people behind felt a little warm.

Jiang Lili smiled and came up to look at the little boy, blinking at him.

The little boy was a little afraid of his life and hid his head in his grandmother's arms.

The old aunt naturally saw this scene and encouraged her grandson: "Yangyang, please say hello to uncles and aunts. Is Yangyang a polite child?"

The little boy then said softly: "Hello Auntie..." and looked at Yi Yang, "Hello Uncle."

Yi Yang touched his nose. In this life, he still felt a bit strange.

Wang Sangning also came forward to tease the child and asked, "Children, what's your name?"

The boy smiled shyly and said, "My name is Yi Yang."

Suddenly, Yi Yang widened his eyes, couldn't help but cough twice on the spot.

Jiang Lili and Wang Sangning were stunned for a moment, and then they laughed.

Jiang Lili reached out and shook hands with Xiao Yiyang, saying, "Hello, Xiao Yiyang!"

"Ding Dong!"

The elevator did not leave them much time. It had already arrived at the 17th floor. The aunt smiled at Yi Yang and the others, walked out of the elevator, and said to her grandson: "Say goodbye to uncles and aunts."

The young version of Yi Yang waved his hand and said in a silence: "Goodbye~"

When the elevator door closed again, Jiang Lili said: "I didn't expect that I could meet a child with the same name and surname as Yi Yang."

Yi Yang said with no blushing face and no ears, "It means that he is lucky to call this name, and everyone looks very cute."

"Haha..." The two girls laughed so hard.

After arriving at home, Yi Yang and Wang Sangning quickly adjusted their state and entered the study again.

Yi Yang took Wang Sangning's book and looked at it carefully, drawing out the definition concepts with a blue watercolor pen. When doing this, Wang Sangning placed his eyes very seriously on Yi Yang's hand, muttering from time to time, or frowning slightly.

Soon, Yi Yang outlined the contents of the "Collection" chapter.

Yi Yang said seriously: "Starting today, we need to review what we have learned before."

Wang Sangning nodded seriously.

"Don't worry, because you have learned a lot of things. Our process is to check for omissions and make up for shortcomings, and to consolidate and improve."

Wang Sangning nodded again.

Yi Yang casually pointed to one of the outlined definitions and said: "It is best to write the definition in a notebook while understanding them. Don't copy concepts in large paragraphs, just write nouns. For example, the research objects are collectively called elements, so just copy the two words "elements."

"Next, in this chapter, your notebook will record nouns such as elements, sets, sets equal, belonging, and not belonging. All you have to do is take this notebook and explain it to Sister Jiang. She has no foundation. As long as she can understand the meaning of these nouns, it means that you have understood the meaning of these nouns."

Wang Sangning took the book and read it through it. Most of it was mastered. After all, the early stages of high school mathematics were relatively simple.

But after sorting it out like this, I found that some concepts have been a long time since I was a little confused. But in general, there is no big problem. She recalled them while copying them in a notebook.

When Yi Yang saw Wang Sangning start to do this, he said: "Of course, it is not difficult to understand the basic concepts just by understanding the basic concepts. Although it is easy to forget, we probably won't just do this. Before the college entrance examination, we may repeat this matter several times. This is not the point. When we fully understand these basic concepts, the next step of derivation is the most important."

"The basic concepts will derive many secondary formulas. Our exams are also based on these derivative formulas. We will take them step by step. Once you have defined the definition, we will start deriving those secondary formulas one by one."

"Don't worry, in general, those formulas are very simple."

"It takes longer to complete this step than the first step, and you are likely to forget it in the future. It doesn't matter. We keep repeating this until before the college entrance examination. If we do it more often, all the formulas will become part of your physiological function like your instinct and will not forget it."

When Wang Sangning heard Yi Yang's description, she was a little excited and continued to do this seriously.

At this time, what Wang Sangning wanted to do did not require his participation, so he silently left Wang Sangning's room and returned to his own room.

Over the past period of time, the homework has been basically done in school, and after returning home, the focus will naturally be on mathematics and English.

Mathematics is naturally not much. Although the competition has passed for him, he can participate in the third year of high school next year, so he cannot leave the competition behind. Moreover, the competition questions are different from the college entrance examination mathematics. Those strange solutions, if inspiration comes to some moment, the release of endorphins is completely beyond the satisfaction of dopaminergies.

Dopamine and endorphins are both substances that can make people feel happy, but endorphins can only be obtained after suffering. This happiness is more advanced and lasting. Often, only by challenging oneself can it stimulate endorphins.

English has only been put back in the top spot recently.

To be precise, Yi Yang's emphasis on English at this time is no longer limited to its college entrance examination attributes.

In Yi Yang's view, the essence of English is a tool. Many people think that English is not necessary to be included in compulsory education. Yi Yang does not care about this view. He attaches great importance to English at this time, just because of his plans for the future.

Now my vision has been placed on prestigious schools.

No matter what prestigious school it is, one thing is generally common, that is, its international pattern.

English must be used in all aspects!

If you are a major that is biased towards academic research, you will find that most cutting-edge research is based on English journal papers. If you don’t understand English, you can’t insert it at all.

Even research materials such as Chinese language and history do not involve foreign majors. Among top universities, their positioning is definitely not only about studying the country, but also has the value of spreading culture. It also requires learning English well and translating Chinese traditional cultural works and historical works into English, which shocks those foreigners who admire China and fascinate foreign countries.

At the same time, there are often classes from internationally renowned professors in famous schools. If you can't understand what others are talking about, it's really unreasonable.

In short, if you define yourself as a student who will enter a prestigious school in the future, then the standards for English can no longer be limited to the written test and the college entrance examination level.

Yi Yang believes that at least it must be able to communicate smoothly with foreigners.

Of course, in addition to these reasons, there is another more important reason.

After studying for so long, I have gradually clarified what to do next.

I already know what major to study in the future. After a little understanding, I found out that major has high requirements for mathematics and English.

So the most important thing now is to improve English listening.

He took out the English audio and sounded the material over and over again.

He listened first, and wrote a sentence on his notebook, frowned from time to time. He really didn't hear a certain word, so he filled in one according to the context, and just put a question mark next to it.

After a few minutes of material, he spent more than ten minutes dictating it, then opened the English materials and proofreaded his mistakes.

At this time, what is the problem with this material? Is it because I have not mastered the English words? Is it because I have not heard clearly when I read the swallowing sound? It is basically clear at a glance.

After finishing this, I read the textbook again and listened to the original text again, and it was already very clear.

Of course, this has been the result of a long period of practice. It was also very difficult to practice English listening in this way at the beginning.

The method is definitely right, and what is required is long-term persistence.

At this time, Yi Yang had already started dictating at 1.2 times the speed. At this speed, it sounds more difficult than the original version, but once you get used to it, doing English listening questions is a dimensional reduction blow.

After nearly two hours of practice, Yi Yang gently rubbed his temples.

I probably have an intuitive understanding of my English level.

Since the second year of junior high school, I have memorized words steadily and learned a language, which has nothing to do with intelligence. After all, an American with an IQ below 90 is likely to speak English. As long as I memorize the words and remember them, the score will not be much lower.

Like most Chinese candidates, Yi Yang’s shortcomings are his oral skills.

Listen and say, there is still a certain gap between being able to communicate smoothly like your own mother tongue.

Of course, Yi Yang doesn't care about accents and other things. He doesn't pursue his pronunciation and tone, he must be as standard and authentic as foreigners. As long as the other party can understand it, it's enough. In fact, most foreigners will not pay special attention to your pronunciation.

This is a little more confident.

When Yi Yang finished his study and came out of the room, Wang Sangning was already gesturing hard in front of Jiang Lili.

"For example, well... if q, you will definitely get p, then q is the sufficient condition for p, and p is the necessary condition for q."

"Ha...I don't understand."

"For example, if the four corners of a quadrilateral are right angles, then the quadrilateral must be a parallelogram. Can this be understood?"

"Well, that's a rectangle or a square, um... I can understand it, it's in elementary school mathematics."

"The four corners of a quadrilateral are all right angles. This is a condition. As long as you know this condition, you can deduce that this quadrilateral is a parallelogram. No problem, right? So the previous condition is the sufficient condition of the latter condition. It is sufficient, which means enough. This is how I understand it, enough for derivation."

"After you say this, I seem to understand!" Jiang Lili clapped happily: "It's great, I've explained another knowledge point to me."

Wang Sangning smiled with relief, turned around and saw Yi Yang looking at him and Jiang Lili, scratching his head gently, and said, "I don't know if I'm right to say this now."

Yi Yang said: "It's definitely okay to do this. The example you just gave is very good. This example is easy to remember. Next time you do the question, you forget the concept of sufficient and necessary conditions. Just think of this example and you can recall the concept immediately. And through this example, you can deduce many derivative concepts."

"For example, the four corners are right angles, which can be deduced that the figure is a parallelogram, but can the parallelogram in turn deduce that its four corners are right angles? Obviously not, so you have got the concept of necessary conditions again."

"Extend it a little longer. If the four corners of a figure are not right angles, can we deduce that the figure must be not a parallelogram? It's not possible, so we have obtained the sufficient condition that q is p, but non-p cannot deduce non-q... Bar, bar, bar..." Yi Yang said several concepts that can be directly deduced.

Wang Sangning nodded and said seriously: "I think this learning method is really amazing. I am obviously a little confused about these knowledge points, but when I talk to my sister, my thinking suddenly becomes clear. And just like you said, as long as you give an example, that knowledge point will be hard to forget!"

"Right?" Yi Yang smiled: "Let's learn this slowly first, and after deriving the second-level formula and concept, your math scores will improve a lot at once!"

"Hey, thank you Yi Yang."

"Thank you even more to Sister Jiang."

Jiang Lili rubbed her eyes and said, "Okay, you two will go to bed early today. We will set off to Qinghe County tomorrow morning. I will go to bed first." As he said, he stood up and stretched his waist, yawned, and said, "I haven't been exposed to math for a long time, and I feel sleepy as soon as I come into contact with it."

Wang Sangning also stretched her waist. After today, she finally felt much more at ease. She shook her hand at Yi Yang: "You should go to bed early too."

Yi Yang nodded and waited for Jiang Lili and Wang Sangning to return to the room. Yi Yang walked to the window and looked at the night view of the city outside the window, without saying a word for a long time.

For a long time before, I studied a little confused, but I had a general goal such as "changing my life" and "going to a good university". It was not until today that I figured out what I should learn and do in the future. With a goal, I became more at ease.

However, this goal has not been told to anyone yet. He plans to know about it for a while and communicate with Luo Bing.

After pondering for a while, Yi Yang once again looked at the dazzling night view of the city and made up his mind to gain a foothold in this land.
Chapter completed!