The two auxiliary lines connecting the outer and inner circles are set by Fang Chao as the little cutie and the little bow tie.

The cutie bypasses the outer cut circle and leaves a heavy makeup stroke on the point P, but leaves two dots on the inner cut circle, named Cutie 1 and Cutie 2.

In this problem, you need to calculate that the two angles between two points are less than or equal to 30°.

At the same time, it is necessary to prove two geometric arithmetic problems.

The two auxiliary lines drawn by Fang Chao looked more complicated on this geometric diagram, but in Fang Chao's eyes, it became even more beautiful, like a tool, so that this question could have a few more ideas, which was very important.

Subsequently, Fang Chao drew four auxiliary lines respectively, and on this basis, a similar parallelogram was born, which was the twin brother born from this geometric problem, made by Fang Chao, and its appearance made the original complex body shape much easier.

He didn't need to go it alone, but had this twin brother to fight with him.

When the GM laid out this problem, there were too many bugs, or rather, these bugs themselves existed, and there was no way to eliminate them, but they were well hidden by the GM.

And the first thing the players have to do is to find out these hidden auxiliary players.

It took Fang Chao nearly twenty minutes to break through the layers of levels, and finally rescued this twin brother.

The twin brother looked at Fang Chao and felt the power of the 2B pencil in his hand, it was one of the most feared artifacts of the god of mathematics, destroying the world, it could make mathematics, but at the same time, it could destroy it.

2B in hand, the world has me.

In particular, it could feel that the strength of Fang Chao, the owner of the 2B pencil in his hand, should not be underestimated, this should be a powerful host, otherwise, how could he have rescued himself from the hidden place in such a short period of time.

In order to fight against the final boss named 'Answer', the twin brothers looked at Fang Chao, and Fang Chao also looked at the twin brothers.

Twin Brothers: Look at your paralysis......

Fang Chao: Get out!

Twin Brother: Forget it, I don't roll, if I do, I won't be able to deal with the 'answer' boss, although I see that you are very unhappy, I feel that you are very good at pretending, but your level of pretending is based on your strong mathematical level, maybe the two of us can join forces to get the 'answer'.

Fang Chao: What do you want to say?

Twin Brothers: Double-row no?

Fang Chao: Yes.

So, Fang Chao and the twin brothers formed a double platoon, and Fang Chao got the help of the twin brothers, and his combat effectiveness soared all of a sudden.

He used Ptolemy's theorem to cleverly calculate the relationship between the corners and side lengths of the two parallelograms, so as to calculate the sine value and cosine value, so that the boss continued to lose blood under the siege of the two, and it was obviously not far from being eliminated.

Half an hour has passed, Fang Chao is sweating profusely, this question is really not simple, it is too difficult to deal with, it will definitely not be easier than the first question, if you want to say these three questions, this final finale is the most difficult, followed by the first question, and the second question in the middle is the most simple.

Fang Chao relaxed, took a sip of water, and ate another pack of spicy strips.

Refreshing!

Lin Teng, you are also my good brother, this spicy strip tastes awesome.

"You can still eat spicy noodles when you do this question...... It's really different......

The tutor is about to go crazy, why don't you continue to do it halfway through the question? I'm so bothered by what you're doing, and I want to see how you solve this problem.

Fang Chao was frightened again, and the good brother was also scared away because of the appearance of the mentor, it didn't know if this was a reinforcement or an enemy army, and it was afraid that the double platoon would have to deal not only with the 'answer' but also with this person.

The twin brothers ran away.

Fang Chao was not happy.

The train of thought is broken.

This teacher is so annoying, and he keeps going around in circles behind people.

Fang Chao was extremely distressed, "Teacher, you don't want to be by my side, you affect my thinking like this, wow, I don't know how to solve the problem now...... And I was really hungry, so I ate something to satisfy my hunger...... I broke the other 2B pencil and I need to sharpen it. ”

"Okay, then you go ahead."

The tutor also knew that some people really didn't like others to stare at him when they were doing questions, so the tutor quickly left, giving Fang Chao the space to develop freely.

After repeatedly confirming that the mentor was finally not behind him, Fang Chao could be regarded as relieved.

But twin brother, come out quickly...... I can't live without you......

Frightened by the mentor, the twin brother became cautious, Fang Chao kept looking, and finally found it again, Fang Chao continued to persuade the twin brother to let him fight side by side with him again, this time the artifact 2B pencil has become sharp again, and he is fully capable of getting the boss when the artifact has not faded from its edge.

The twin brothers looked at Fang Chao's determined appearance, and finally nodded, and agreed to work with Fang Chao again.

With the help of his twin brothers, Fang Chao obviously became cautious this time, but his fighting style became more sharp.

Two more auxiliary lines came out.

Fang Chao used Simson's theorem to come up with the answer to the first question.

Then he measured it with a measuring ruler, and sure enough, it did not exceed 30°, and the answer was the same as the conclusion, and he got a certain percentage of points.

Then, he wrote down several steps in a row to determine the sinusoidal values of the four corners.

Using the law of sinusoidal value, the answer to the second small question was obtained.

The boss's blood is running out, and it has been killed one after another, so it can be seen that it is very weak now.

Fang Chao adhered to the idea of 'taking advantage of your illness to kill you', and made bold moves, all kinds of theorems were put into play, and finally the remaining two small problems were solved together.

BOSS BLOOD SKY!!

Get!

The twin brothers said goodbye to Fang Chao and thanked him for his help this time.

So it was printed on the test paper.

Fang Chao put down the artifact 2B pencil, after this battle, its individual was less than one-third of the original, it was very weak, and the time to fight was running out, Fang Chao decided to cherish the time with it, and carefully placed it in the stationery box.

At this moment, almost three hours have passed since the CMO national finals.

On top of the last question, Fang Chao spent almost an hour and a half, which was almost impossible for Fang Chao in the past, because he would not exceed an hour for any question, so you can imagine how difficult the national decision was.

However, Fang Chao was not in a hurry to hand in the papers, this time the competition was of great significance to him, he began to re-examine the question, re-questioning, about twenty minutes or so, Fang Chao knew that this time the first day of the national final.

Three questions.

63 out of 63 points,

Hand!