Xueba, I beg you to go and escort him quickly!

(1) Solution: connect BG, then BG is the reflection of BE on the plane ABD, that is, ∠EBG is the angle formed by A1B and the plane ABD.

Let F be the midpoint of AB, connect EF, FC...

……

D and E are the midpoints of CC1 and A1B respectively, and DC⊥ plane ABC, so...

EF2=FG*FD=1/3FD2...

……

Therefore, the angle formed by A1B and the plane ABD is arcsin root 2/3.

(2) Connect A1D, there is Va1-AED=VD-AA1E

because……

……

所以h=根号2*根号2/(根号6/2)=（2根号6）/3，即A1到平面AED的距离为（2根号6）/3.

Yue Pingting's answer is correct!

There is nothing wrong with the process!

To the disappointment of these teachers, Yue Pingting used the same method as they thought!

"hiss……"

This is very frustrating.

"It's just...is there really a second way to solve the problem?"

"Generally speaking, the problem-solving ideas for graphics problems are relatively broad, but this problem..."

"let me try……"

"Wait, are you teachers talking about the first question or the second question?"

"Nonsense! It must be the first question, there are only two solutions to the first question energy!"

"You don't understand, the second question is just this kind of problem-solving thinking!"

But the voice of their muttering has not yet stopped.

Xu Heng looked directly at Yue Pingting, "The first question, or the second question?"

Such a gentle question... It is clear that the two small questions have different ways of solving the problem.

Rumbling--

Rolling thunder bursts!

Let the math teachers present be stupid on the spot.

At this moment, they really want to find a mouse hole to get into...

Yue Pingting was also dumbfounded, "Wait a minute! There are different solutions to what you mean? I thought only the first little question had it! Tell me quickly!"

Xu Heng took out a pen and paper, and spoke while writing.

"Connect BG, then BG is the reflection of BE on the surface ABD, that is, ∠A1BG is the angle called by A1B and flat ABD, how many?"

Yue Pingting nodded seriously.

"At this time, establish a coordinate system. The origin of the coordinates is O. You can set cA=2a. Here, the coordinates of points A, B, and D will come out, right?"

Yue Pingting's eyes suddenly lit up!

All math teachers are like being hit in the face!

All of them are buzzing...

While writing, Xu Heng said, "So, can we find out the size of this angle?"

As he spoke, he wrote down: 7/3 under the root sign of arcsos.

"Let's look at the second question again. In the first question, we already know these coordinates, so..."

"When a is equal to root 2 of 2..."

"When 0 is less than a is less than the square root of 2..."

"When it is greater than the square root of 2..."

Directly from the first question to the second question!

And it's easy!

Compared with the first idea, this problem-solving idea is better!

Yue Pingting blinked her big eyes, dazed.

Xu Heng, "Look at it first, digest it."

As he said that, Xu Heng picked up the question and the solution process of the previous question, and tore it apart in public.

What the hell! ! !

next second!

Several math teachers couldn't help it, "!!!"

"Student Xu Heng, what are you doing! Don't tear it up!"

They couldn't take it anymore!

Such a good topic, how could she tear it up when she understood it after finishing it!

Madam, what a waste of money!

"Student Xu Heng, do you know what you are tearing up! These are all priceless treasures!".

Chapter 293

Xu Heng, "Uh..."

"Teachers, what do you mean?"

"What are you doing!"

Only then did Xu Heng realize that they were all standing behind him.

And inexplicably behind him!

Yes!

To be reasonable, it is understandable that they are in the last row.

But it was obvious that this group of teachers were all clustered behind him.

Xu Heng was holding a few questions that he wanted to tear up.

These teachers, especially the math teachers, stared intently, their eyes shining.

And their expressions are so distressed!

Their distressed facial features are distorted!

"This, this, this...Xu Heng, do you know the importance of your questions?!"

"Don't tear it up! Don't tear it up!"

"Yes, yes, can you put it down? Don't waste it, can you give it to us?"

"Our classmates in the third year of high school... want to use your topic, okay?"

"is it okay?"

Several high school teachers lowered their stance one by one with pleading faces.

Xu Heng, "Eh... Teacher, you don't have to do this!"

Several teachers were ashamed to reject it, and desperately admitted, "I want it! I want it! It's necessary! It's a must!"

Xu Heng, "This..."

He looked at the topic in his hand, and then at the anticipation on the faces of several math teachers.

Finally, Xu Heng sighed, "It's just torn, how about..."

What Xu Heng wants to say is, let me write another copy for you!

But they thought that what Xu Heng wanted to say was better than forgetting it!

They immediately excitedly took over the torn-out question from Xu Heng.

Several teachers immediately got together and put it together.

"Is there any tape? I'll stick it!"

"Hurry up! Who has tape?"

Xu Heng watched them busy, "Teacher, why don't you come up with a question... The answer... is unnecessary..."

not necessary?

Student Xu Heng, are you talking in human terms? !

"This answer was made by Yue Pingting, and it's not a standard answer."

The veins on the foreheads of several teachers jumped violently, "!!!"

Yes!

This is not a standard answer!

But this is the problem-solving process and result that you nodded and said right!

Otherwise, you want us to go back to 18 and do it ourselves, and hold it until midnight, isn't it necessarily right?

Really, we beg you.

Xu Heng, "%￥#@#￥￥..."

Xu Heng saw that his persuasion was fruitless, so he gave up.

But he didn't expect the real thoughts of these math teachers.

He just looked at them, and after spelling out the questions and answers, he picked up his phone and took a picture.

After Yue Pingting understood all the graphic questions, Xu Heng passed it to the teachers.

They rushed to take pictures!

"Ring Ling Ling..."

The evening self-study class was finally over, Xu Heng and Yue Pingting both left, but the teachers were still reluctant.

Their understanding of Xu Heng and even Yue Pingting has been refreshed.

Several math teachers in the third year of high school couldn't help discussing.

"You said, for classmate Yue, she will be able to take a lot of exams?"

"I think it's possible. She can do this kind of grand finale!"

"Not only will she, but she also thought of the second way of solving the problem, which is very surprising!"

"yes……!"

Anyway, get out of class is over, and the voices of these teachers' discussions are a little louder than before.

Yang Kaixuan, I heard it!

Geek!

Click! !

Geek! ! !

Every teacher, every word is like a huge stone hitting his heart.

There is no problem with the questions in the third year of high school...