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

How did he know that it would be so difficult!

Moreover, Xu Heng's question is indeed based on Euler's formula, which is a little simplified and deformed.

Xu Zongyun felt the pressure.

Put aside the second question for the time being, and do the third question.

Just finished the third question, look to the fourth question.

Xu Zongyun, "???"

Confused again.

As shown in the figure, the earth is approximately regarded as a sphere, and the altitude angle of the sun at noon on the surface of the earth is a, b is the latitude of the sun at this time (the local summer half year takes a positive value, and the winter half year takes a negative value), and c is the latitude of the place value.

It is known that the range of direct sunlight per year is between the Tropic of Cancer, that is, b∈[-2326', 2326'].

The height of the white marble Huabiao in the Capital Square is 9.57 meters, and the dimension of the Capital Square is 3954'27 north latitude. If at noon on a certain day, the measured shadow length of the Huabiao is exactly 9.57 meters, what is the latitude of the direct sunlight on that day?

Xu Zongyun thought he was wrong.

This is obviously a physics test, but it turned into geography!

This strong sense of geography and sight made Xu Zongyun stunned for a moment.

He was stunned.

Xu Heng looked at Xu Zongyun like this, shaking his head inwardly.

How rare!

this kid!

Xu Zongyun took a deep breath, "Hiss...!"

Answer the questions carefully.

Let’s put it aside first, let’s not talk about whether it is geography, and continue to do it.

But as he was doing it, Xu Zongyun was in a daze again.

"???"

"This question is a current affairs question? Isn't this clearly a question from the previous census?"

"!!!"

Brother!

Be yourself!

You are too capricious!

Don't you think too much of your brother!

Xu Zongyun, "I will bear it!"

continue doing……

Yang Hui's triangle is one of the outstanding research results of ancient Chinese mathematics. It intuitively reflects some inherent algebraic properties of composite numbers from graphics, and is a combination of discrete numbers and shapes.

In the Yanghui triangle shown in the figure, starting from the third row, every number except 1 in each row is the sum of the two numbers on the left and right of the row above it.

If there is a certain row in Yang Hui's triangle, and the ratio of three adjacent numbers in this row is 4:5:6, how many rows is this row?

Leaving aside the difficulty of this question, it all involves ancient mathematics!

Xu Zongyun's scalp was numb.

He looked up at Xu Heng with a look of lovelessness...

Xu Heng, "??` ~?"

"Look at what I do, do the questions well."

Xu Zongyun, "*%￥#@#￥%..."

What else can I do?

do it!

Can only bite the bullet and do it.

It can be said that he has spent a lot of effort.

"call……"

Right or wrong, he gave an answer, just breathed a sigh of relief, and looked at the next question.

Geek!

!!!

Xu Zongyun's eyes widened.

This is obviously a math problem, so why is it related to chemistry again!

As shown in the figure, the carbon atom cluster in C60 is composed of 60 carbon atoms. Its structure is a convex 32 area composed of regular pentagons and regular hexagons. How many regular hexagons are there in the C60 structure?

Seeing this, Xu Zongyun's hanging heart slowly let go.

"so far so good……"

But when he turned the page!

This question is not over!

It's just turning the page and it's written right here!

And then there's—

When these 60 C atoms are arranged in space, they form the most stable spatial arrangement position of a chemical bond.

恰好与足球表面格的排列一致，因此也被称为足球烯，根据杂化轨道的正交归一条件，两个等性杂化轨道的最大值之间的夹角x（0＜a≤180）满足α+βcosx+r[（3/2）cos2x-（1/2）]+ρ[（5/2）cos3x-（3/2）cosx]=0

In the formula, α, β, r, and ρ are the percentages of s, p, d, and f orbitals in the hybrid orbitals, respectively.

It is known that the hybridization orbital in C60 is an equivalent hybridization orbital, and no d, f orbitals participate in the hybridization, and the theoretical calculation value of the carbon atom hybridization orbital is sp (2.28 power), which represents the s, p that participate in the hybridization The ratio of the number of orbitals is 1:2.28, so what can be calculated as the sine of the angle between the maximum values ​​of the two equivalent hybridized orbitals in C60?

cracked!

Xu Zongyun immediately split open!

Not to mention isotropic hybrid orbitals, he doesn't even know about hybrid orbitals!

Blindfolded!

Won't!Won't!Won't!

The mentality is completely broken!

Xu Zongyun couldn't help but want to ask: Brother!Did you make a mistake on the test paper? !Is this a topic that a high school student can do?

???

Xu Zongyun wanted to die already!

This is too difficult!

Although Xu Zongyun's grades are not that good, but he has always been good!

He has done many super difficult test papers, but he has never encountered such a difficult test paper!

Even if there were some Mathematical Olympiad questions, he could still write a little bit, but Xu Heng's test paper completely broke him down.

He almost got hit by a pinch!

too!he!!Disaster!up!

Xu Zongyun bit the bullet and continued!

He can only do it!

Because there are still questions later!

He must do all the questions he knows, and he can't lose points!

But I haven't done two questions yet...

Pink bollworm is one of the main pests of cotton, and the number of eggs laid is related to temperature.Now we have collected 8 groups of observation data of the number of eggs laid by a pink bollworm y (pieces) and the temperature x (°C), and made a scatter diagram as shown in Figure 1.

Now use two models ①y=e[(bx+a) power], ②y=cx2+d to fit respectively, thus get the corresponding regression equation and carry out residual analysis, and further obtain the residual shown in Figure 2 picture.

Based on the collected data, the following values ​​were calculated:

Xu Zongyun roughly looked at the above values, and even used the sum ∑!

Too complicated!

(1) According to the residual graph, compare the fitting effects of models ① and ②, which model should be selected?and explain why;

(2) According to the model selected in (1), find the regression equation of y with respect to x (rounding up to two decimal places in the calculation process), and find the forecast value of the spawning number y when the temperature is 34°C.

参考数据：e（ 方）≈224，e（5.50方）≈245，e（5.59方）≈268。

……

Xu Zongyun is desperate!

He froze!

Holding the pen in his hand, he couldn't help shaking.

Xu Heng rolled his eyes, "What, is it just this mental capacity?"

"Such a simple question, isn't it?"

Simple?

This is called simple? !

Xu Zongyun, "Brother! I'm afraid you have misunderstood Jian Jian! I'm only a sophomore in high school!"

Xu Heng said coldly, "I'm only a sophomore in high school."

puff-

People are more popular than dead people!

"Can I compare with you? Can't compare at all!"

Xu Heng, "%￥#@##￥..."

Xu Zongyun took a deep breath, "Brother! My mentality has collapsed! Really! I can't go on!"

"I really can't do it!"

"Ancient mathematics for a while! Current politics for a while! Biology for a while! Chemistry for a while! And geography! What a math paper! This is a hodgepodge!"

"Brother! Have you been preparing this set of test papers for a long time?"

Xu Heng, "..."

long time?

I obviously came out when you were playing the game.

Xu Heng rolled his eyes at Xu Zongyun and sighed.

indeed!

Not everyone can be like Yue Pingting.

never mind!

Xu Heng sat down and picked up the test paper.

"So, you gave up on the rest of the questions, right?"

Xu Zongyun nodded.

Xu Heng, "So you failed the exam, let me see how many points you can get..."

This counts!

It is indeed a failure!

43 points!