After solving the first question, the next question is obviously much simpler.

There are many ways to prove rational numbers.

But there is a fixed method that even junior high school students do, and that is the method of counterproof.

Let's assume that it is a rational number, for example, x=a/b, a is an integer, b is a positive integer, the plus or minus of a is the same as x, and a and b are coprime.

Then reason from this hypothetical premise.

If a and b can be found, then x is a rational number, and if a contradiction is introduced, then x is an irrational number.

In the math problems of junior high school, there is a proof problem that proves that root number 2 and root number 3 are irrational numbers.

It couldn't be easier for him.

And when the title clearly tells that none of the results are rational numbers, the contradiction in this process is extremely simple.

In less than ten minutes, Yi Cheng completed the whole process.

After the testimony, he tilted his head and looked at it for a long time.

The private goods that Mr. Ran gave this time are not good.

It is not as difficult as the second question that Lan Bing said, on the contrary, when he understands the principle, these two questions are quite simple.

"Yes."

Yi Cheng cast an approving glance at Lan Bing.

"No, this is normal high school knowledge." Lan Bing smiled, happy to death in his heart.

It's really strange to say, usually when the teacher praises her, she is not happy in her dreams.

"If only my future daughter were as smart as you." Yi Cheng sighed.

"......" Lan Bing's face flushed slightly.

was made to jump by Yi Cheng's sudden remarks.

She turned her head sideways and whispered, "What a fool, you don't have a daughter from where you don't have a wife?" ”

"yes." Yi Cheng clasped his hands and sat up.

"It should be said that it would be good if my future wife was a girl like you who is proficient in mathematics and interested in mathematics, physics and chemistry."

"You ......"

Lan Bing's heart was full of deer, and she didn't understand why this guy would say such rude words in her dream.

"Forget it, don't do it, it's a waste of time to fall in love." Yi Cheng smiled and stood up.

"Huh?"

If you know the sin function, then this is what Blue Ice's current mental curve looks like.

It's just that it's at rock bottom now.

"Good night then, my goddess."

Yi Cheng smiled, then turned off the light.

This time, he used the two-minute quick sleep method, and he slept very sweetly.

Early the next morning, Ziqi dragged his tired body out of the BMW.

If she hadn't been supervised all night, her father would have thought she had gone to do something last night.

Could it be that I've been under too much pressure to study lately?

The stern father stood silently outside the school gate, lit a cigarette for himself, and began to reflect on himself.

Since the child's mother left, she did have too many high hopes for her, which gave her a lot of pressure.

Hey, it's a bit of a hassle to be without a mother.

Thinking so, my father opened the car door and sat back.

He was going to call his boss to ask for leave, and by the way, arrange a recent blind date.

……

Ziqi and Li Anruo walked side by side and walked towards the teaching building.

"You look a little haggard." Li Anruo said a little distressed.

"After doing it all night, I was dizzy and tired, of course." Ziqi twisted her shoulders slightly.

"Huh? Ay? Yes?!!! Li Anruo's mouth gradually widened.

"yes, how can you get tired from dreaming?" Ziqi looked up suspiciously.

Li Anruo gradually closed his mouth.

"It turned out to be a dream."

"Otherwise, what do you think?"

Before he finished speaking, Ziqi suddenly realized that he had said the wrong thing before, and his cheeks slowly turned crimson.

"Li Anruo, you are too obscene!"

"Hahaha...... Isn't that all you said? ”

"Ah!!h Ziqi shook her head and chased after her angrily.

At this moment, where do they still have the image of half a lady.

The alumni around them looked at them with amazement.

Two beauties chase each other.

In the eyes of those passing by outside the iron gate, what a youthful and beautiful scenery this is.

……

"Well, that's good."

In the teacher's office, Teacher Ran nodded with satisfaction when he saw the answer submitted by Yi Cheng.

"But......" she looked at Yi Cheng quizzically.

"Did you solve it yourself?"

Yi Cheng's heart thumped.

Sure enough, he couldn't hide anything from Lao Ran's fiery eyes.

"Did you hire a tutor?" Teacher Ran frowned and looked at him.

Yi Cheng's heart was filled with guilt.

It's like the chief disciple defecting to the master.

The old mother worked hard to raise her child, but suddenly became a pick-up man.

Sin, sin.

"I'm sorry, Mr. Ran."

"Sure enough......"

Teacher Ran sighed and sat down in his chair with a dejected expression.

It's as if to say that the students' wings are stiff and they can't control it.

"If only you could make progress." Teacher Ran said lightly.

"Teacher Ran......" Yi Cheng looked at her sadly, his heart hurting to death.

"It's okay, I'm telling the truth." She swept the gloom from her face, sorted out her emotions, and then took out a note from the table and handed it to Yi Cheng.

Today's bootleg math problem.

Yi Cheng looked at her blankly, not sure if what Teacher Ran said was the opposite.

You must know that judging from his contact with the opposite sex in the past few days, this creature is really too elusive.

"Oops, you're such a screwed student." Teacher Ran seemed to guess what Yi Cheng was thinking, and laughed out loud, "Am I that kind of stingy teacher, what teacher doesn't want his students to be good?"

Your tutor is not bad, I think it's pretty good. ”

Hearing Teacher Ran say this, Yi Cheng relaxed a little.

"I'll tell you about the Gaussian function." Teacher Ran returned to the teacher's normal attitude and began to explain yesterday's exercises.

"Gaussian functions have a wide range of applications, including mapping, geography, and terrain editing."

Teacher Ran patiently explained, "I'll draw a picture for you to understand." ”

She picked up a pen and drew a near-standard Gaussian curve on the paper.

……

The Gaussian function is partly discussed, and there is not enough time.

Teacher Ran could only say regretfully, "I'll tell you again tomorrow afternoon after school." ”

"Okay." Yi Cheng nodded, and then prepared to leave.

"Yicheng." Teacher Ran stopped him again.

"What's wrong, Teacher Ran?" He looked back.

Teacher Ran wanted to speak and stopped, and then persuaded earnestly -

"Don't get too close to her."

"Huh?" Yi Cheng was confused.

Could it be that Teacher Ran knows that his [tutor] is a goddess?

"Actually, I'm not against early love, but I'm afraid you love the wrong person." Teacher Ran said bitterly. (Such a teacher, please give me a dozen.) ）

How do people and fish get together?

Yi Cheng frowned.

"No, Mr. Ran, I don't have the intention of falling in love at all now." He laughs and says, "Learning makes me happy." ”

"Well, that's good." Teacher Ran smiled with satisfaction, "You will meet better girls in the future, ten thousand times better." ”

10,000 times better than the goddess......

Yi Cheng couldn't imagine it.

When he saw that Teacher Ran turned around to correct his homework, he automatically withdrew from the office.

"Hey!"

As soon as he walked out of the teacher's office, Yi Cheng was slapped on the shoulder.

Looking back, it was Mo Xiaotian.

"You said you were going to teach me how to swim." She turned around and shook the bag on her back.

"I'm all ready, before the evening self-study starts, let's go to the provincial gymnasium, right?"

"Okay."

Yi Cheng is a man who promises a lot of money, and since he agreed, he will not regret it.

He also had a swimsuit ready.

"Wait."

The two of them were about to set off, and Yi Cheng suddenly remembered something.

When Mo Xiaotian looked for him yesterday, it was obvious that the door of the swimming pool was not closed.

No door closed = there is a teacher there because the teacher has to check that no one is there and then the last one to leave the door to lock the door, so as not to accidentally lock the student in the pool.

Yesterday's swimming teacher, the last one to go-

Teacher Ran?!

So it is very likely that Mr. Ran witnessed the scene of their py.

Could it be that —

Teacher Ran thinks that Mo Xiaotian and I are in love together?!