There are a lot of unsold parking spaces in Jiang Lili's community, and foreign vehicles can also be parked according to the billing payment, so Yi Yang parked the car in an ownerless parking space not far from Jiang Lili's parking space.

In the underground parking lot, the three of them entered the elevator together, and when they stopped 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 temperamental, and the eyes of the three people in the elevator met in a friendly manner, and then said to her grandson: "Yangyang, what floor do we live on?" ”

The little boy was a little boy of three or four years old, who rushed up to be clean and shy, and replied obediently, "17th floor." ”

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, and the little boy found the number 17 and pressed it hard.

"Yang Yang is awesome."

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

Jiang Lili smiled, leaned over to look at the little boy, and winked at him.

The little boy was a little scared of life, and a little shy buried his head in his grandmother's arms.

The old aunt naturally saw this scene and encouraged her grandson: "Yangyang, you have to say hello to your uncle and aunt, is Yangyang a polite child?" ”

Only then did the little boy say softly, "Auntie is so ......" looked at Yi Yang, "Hello uncle." ”

Yi Yang touched his nose, being called an uncle in this life is actually a bit weird.

Wang Sangning also stepped forward to tease the child and asked, "Little friend, what's your name?" ”

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

Suddenly, Yi Yang's eyes widened, he couldn't hold back, and coughed twice on the spot.

Jiang Lili and Wang Sangning were stunned, and then laughed as well.

Jiang Lili stretched out his hand, shook hands with Xiao Yiyang, and said, "Hello, Xiao Yiyang!" ”

"Ding Dong!"

The elevator didn't leave them much time, and they had already reached the 17th floor, and the aunt smiled at Yi Yang, stepped out of the elevator, and said to her grandson, "Say goodbye to uncle and aunt." ”

The juvenile version of Yi Yang waved his hand and said in a milky voice: "Goodbye~"

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

Yi Yang said without blushing, "It means that I am lucky to be called this name, and everyone looks very cute." ”

"Haha......" The two girls laughed uncontrollably.

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

Yi Yang took Wang Sangning's book, looked at it carefully, and sketched out those defining concepts with a blue watercolor pen, and when doing this, Wang Sangning put his eyes on Yi Yang's hand very seriously, muttering to himself from time to time, or frowning slightly.

Soon, Yi Yang sketched out all the contents of the "Collection" chapter.

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

Wang Sangning nodded seriously.

"Don't worry, because you have learned, you understand a lot of things, and our process is not only to check and fill in the gaps, but also to consolidate and improve."

Wang Sangning nodded again.

Yi Yang casually pointed to one of the sketched definitions, and said: "It's best to write down the definition in a notebook while understanding, don't copy concepts in large paragraphs, just write nouns, for example, the research objects are collectively called elements, just copy the two words elements here." ”

"Next, in this chapter, your notebook will record nouns such as elements, sets, sets equal, belong to, do not belong to, all you have to do is take this notebook and explain to Sister Jiang that she is zero-based, as long as she can understand the meaning of these nouns, it means that you understand the meaning of these nouns in place."

Wang Sangning took the book and flipped through it, most of them were mastered, after all, the early stage of high school mathematics was still relatively simple.

It's only now that I've sorted it out like this, and I find that some concepts have been a long time and I'm a little uncertain, but in general, it's not a big problem, she recalls it and copies them in her notebook.

Yi Yang saw that Wang Sangning began to focus on doing this, and said: "Of course, it is not difficult to just understand the basic concepts, although it is easy to forget, but we probably won't just do this once, before the college entrance examination, we may repeat this matter a few times, this is not the point, and when we fully understand these basic concepts, the next step of derivation is the most important." ”

"The basic concept will derive many second-level formulas, and our exams are also based on these derived formulas, step by step, and when you define it clearly, we will start to derive those second-level formulas module by module."

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

"This step will take us longer to complete than the first step, and you are likely to forget it in the future, it doesn't matter, and then until the college entrance examination, we keep repeating this, the more times, all the formulas will become part of your physiological functions like your instinct, and you will not forget."

When Wang Sangning heard Yi Yang's description, her blood boiled a little and she continued to do it seriously.

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

During this time, homework was basically done in school, and when I got home, the focus was naturally on math and English.

Mathematics naturally does not say much, although the competition has passed for him at present, but he can participate again in the third year of high school next year, so he can't leave the competition, and the competition questions are different from the college entrance examination mathematics, those bizarre solutions, if a certain moment comes to the inspiration to come up, endorphins are released, and the refreshing feeling is not comparable to dopamine at all.

Dopamine and endorphins are both substances that can make people feel happy, but endorphins can only be obtained after experiencing pain, and this happiness is more advanced and long-lasting, and often only by challenging oneself can the endorphins be stimulated.

English, on the other hand, has only recently come back to the forefront.

To be precise, Yi Yang valued English at this time, which was no longer limited to its college entrance examination attributes.

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

Today's eyes have been set on prestigious schools.

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

English is used in every aspect!

If you are a major that is biased towards academic research, you will find that most of the cutting-edge research is based on English journal papers, and if you don't know English, you can't plug it in at all.

Even if it is a research material similar to Chinese language and history, although most of them do not involve foreign majors, in top universities, the positioning is definitely not only to study the country, but also has the value of disseminating culture.

At the same time, there are often some internationally renowned professors' lectures in famous schools, and if you can't understand what people are saying, you really can't say it.

All in all, if you define yourself as a student who will enter a prestigious school in the future, then the standard of English can no longer be limited to the level of written exams and college entrance examinations.

Yi Yang believes that at least to the extent that he can communicate with foreigners fluently.

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

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

I already have a good idea of what major I want to study in the future, and I understand it a little bit, that major has high requirements for mathematics and English requirements.

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

Took out the English audio and listened to the material over and over again.

He listened to it first, wrote a sentence in his notebook, frowned from time to time, and if he didn't hear a certain word, he filled it in in combination with the context, but he would put a question mark next to it.

He spent more than ten minutes dictating a piece of material for a few minutes, and then flipped through the English material to proofread his mistakes.

At this point, what is wrong with this material itself, is it that the English words are not mastered? Is it swallowing and reading without hearing clearly? It's basically already clear at a glance.

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

Of course, this is the result of a long period of practice, and it is very difficult to practice English listening in this way at first.

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

At this time, Yi Yang has begun to dictate at 1.2 times the speed, which naturally sounds more difficult than the original version at such a speed, but once he adapts to it, doing English listening questions is simply a dimensionality reduction blow.

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

I probably also have an intuitive understanding of my English level.

Since the second year of junior high school, I have memorized words and learned a language, which has little to do with intelligence, after all, an American with an IQ of less than 90 is likely to be able to speak English, as long as the words are memorized and memorized, the score will not be low.

Like most Chinese candidates, Yi Yang's weakness is his speaking ability.

Listening, speaking, and being able to communicate fluently like your own mother tongue are still far behind.

Of course, Yi Yang doesn't care about the accent or anything, he doesn't pursue that his pronunciation tone must be as standard and authentic as a foreigner, as long as the other party can understand it, in fact, most foreigners don't pay special attention to your pronunciation.

Be confident in this.

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

"Like, huh...... If q, then p must be obtained, then q is a sufficient condition for p, and p is a necessary condition for q. ”

"Hah...... I don't understand. ”

"For example, if all four corners of a quadrilateral are right angles, then the quadrilateral must be a parallelogram, right?"

"Well, that's a rectangle or a square, huh...... I can understand elementary school math. ”

"The four corners of the quadrilateral are all right angles, this is a condition, as long as you know this condition, you will be able to deduce that this quadrilateral is a parallelogram, no problem, right? So the former condition is the sufficient condition of the latter condition, sufficient, that is, sufficient, I understand it this way, enough for derivation. ”

"I seem to understand when you say that!" Jiang Lili applauded happily: "Awesome, I have explained another knowledge point." ”

Wang Sangning smiled a little relieved, turned around, and saw that Yi Yang was looking at himself and Jiang Lili, scratched his head slightly, and said, "I don't know if I'm right to talk like this now." ”

Yi Yang said: "This must be no problem, the example you just gave is very good, this example is easy to remember, the next time you do the question, you forget the concept of sufficient and necessary conditions, just think about this example, you can recall the concept at once, and you can deduce a lot of derived concepts through this example." ”

"For example, if all four corners are right angles, you can deduce that the figure is a parallelogram, but can you deduce that all four corners of a parallelogram are right angles? Obviously not, so you get the concept of necessary conditions again. ”

"By extension, if none of the four corners of a figure is a right angle, can it be deduced that the figure must not be a parallelogram? No, so we get again that q is a sufficient condition for p, but non-p cannot deduce non-q...... Let's go, let's ......," Yi Yang said a few concepts that could be directly deduced.

Wang Sangning nodded and said seriously: "I think this learning method is really amazing, and I am a little confused about my mastery of these knowledge points, but when I tell my sister about my sister, my thinking suddenly becomes clear, and as you said, as long as you give an example, it will be difficult to forget that knowledge point!" ”

"Really?" Yi Yang smiled: "Learn like this slowly, and after deducing the level 2 formulas and concepts in the next step, your math score will improve a lot!" ”

"Hey, thank you, Yiyang."

"Thank you Sister Jiang even more."

Jiang Lili rubbed his eyes, "Okay, you two should go to bed early today, tomorrow we will leave for Qinghe County early in the morning, I will go to sleep first." As he spoke, he stood up and stretched, yawned, and said, "It's been a long time since I've been exposed to such a thing as mathematics, and I'm sleepy when I do." ”

Wang Sangning also stretched her waist, after today, she was finally a lot more steady, and shook her hand at Yi Yang: "You can go to bed early." ”

Yi Yang nodded, and when Jiang Lili and Wang Sangning had returned to the room, Yi Yang walked to the window, looked at the night view of the city outside the window, and was silent for a long time.

For a long time before, reading was a bit muddy, but there was a general goal such as "to change your life" and "get admitted to a good university", and it was not until today that I figured out what I wanted to study and do in the future.

However, at the moment, he has not told anyone about this goal, and he plans to get to know him for a while and communicate with Luo Bing again.

After pondering for a while, Yi Yang once again took a deep look at the bright night scene of the city, and secretly made up his mind that he must gain a foothold in this land.

Accomplish what my father didn't do back then.