Become a master from now on

Chapter 32 Observation in secret (for collection)

correct!

That's right!

Moreover, he said the correct answer so lightly, without any hesitation, obviously knowing the answer to this question.

Nima!
At this moment, Yang Rong cursed in her heart, the old lady worked so hard to calculate such an answer, how come you seem to solve the answer easily?
There are six multiple-choice questions and four fill-in-the-blank questions. Normal people need to spend more than 90 minutes. You pervert, even if you get a full score within the specified time, it will make people speechless, but you only used about half of it. time, who are you humiliating?
"Don't you think this competition topic is difficult?"

Fang Chao replied, "No, they are all quite simple, and only one or two questions are special. It took me ten minutes to solve them."

WTF!
Yang Rong was really murderous at this moment.

It's your sister's!
My mother thinks that the easiest ones will take about 15 minutes, but the most difficult ones here will always take about ten minutes.

"I don't want to talk to you anymore, I'm leaving."

"Why are you leaving?"

Fang Chao looked puzzled.

"Not from one world."

Fang Chao was very wronged, student Yang Rong, please don't be like this, okay?I was also a scumbag in the past, but now I am determined to be strong, and I will never return on the road of mathematics, and barely become a existence at the level of a mathematics tyrant, but you can't feel alienated from me because of this Ah, we are all classmates... Could it be that the strong are destined not to have friends?

I am so hard...

Am I really going to go down this path?

Don't hit the south wall and don't look back.

Heimiantan, I seem to have fallen into a turning point in the philosophy of life, I am so confused now, when can you give me some direction?Is a top student doomed to be lonely?

Fang Chao was at a loss, but time was not lost. When the time for the second test came, everyone returned to their seats.

The first test consists of multiple-choice questions and fill-in-the-blank questions, focusing more on basic knowledge, making changes and utilization of basic knowledge, and testing the candidates' understanding and application of basic knowledge.

The second test focuses on the ability to analyze and solve problems. There are only three question types, all of which are answer questions. The content is divided into algebra questions, geometry questions, geometry-algebra comprehensive questions, or miscellaneous questions.

The test time is 120 minutes and the total score is 70 points.

The total score of the two tests is 140 points.

There is an element of luck in the first test, but the second test is the real selection of talents. Those who can break through the siege in the second test are obviously those who truly have the talents of a general.

Some people were about to cry when they saw the first solution to the second test.

why?
Why did the first question encounter geometry?

Geometry problem, that is an absolute nightmare, far more difficult than algebra...

Mathematics is divided into geometry and algebra, and algebra is more inclined to calculation. Geometry has many requirements for candidates, not only must have a certain degree of thinking, logic, and diffusion, but also requires candidates to have a certain degree of research on spatial layout. In this regard, boys are more dominant, while girls are relatively weak.

Of course, in this regard, scientists still have some controversies.

At the end of the 19th century, European scientists began to become interested in whether there was any difference in the intelligence of men and women. The "reliable" conclusion drawn at that time was that women's brains are smaller than men's, so their intelligence is weaker than men's.

Fortunately, this statement is long outdated today.

Facts have proved that women's intelligence is not inferior to that of men, and even surpasses many men.

But at the same time, we must also see that in today's scientific world, women still have several unconquered fortresses, and mathematics is the strongest one among them.

It is true that no woman has won the Fields Medal, the Nobel Prize in mathematics.

So, are women afraid of math?The answer from many female mathematicians is no.But some women who have chosen other fields admit that math has never occurred to them.

Maybe if you want to become stronger, the biggest problem you face first is probably baldness.

There is no woman who does not love beauty. Perhaps it is for this reason that the scarcity of female mathematicians is caused.

Regardless of whether men have an advantage over women in mathematics, Fang Chao started scanning the questions as soon as he got the test paper.

Geometry question?
Oh, interesting!
Do you think I'm afraid of you?
I don't even pay attention to the hell-level exam questions, let alone you!

Soon, Fang Chao's eyes fell on the test questions.

As shown in Figure 1-1, it is known that AD, BE, and CF are the height of △ABC.

To prove: the straight lines AD, BE, CF are at the same point.

If the above point is called P, when the point P moves up and down within the line segment AD, the line segments BE and CF passing through the point P also move accordingly.

Proof: ∠FDA and ∠EDA are always equal in the above motion process.

"Tsk tsk, it's really not difficult at all. Is this the topic of the competition? It's really disappointing. I can easily solve you by using Menelaus's theorem and Ceva's theorem!"

Soon, Fang Chao started to write.

(1), from △ABE∽△ACF, get AE/AF=AB/AC, similarly CD/CE=AC/BC, BF/BD=BC/AB.

Multiply the three formulas to get AE/EC·CD/DB·BF/FH=1
∴ The straight lines where AD, BE, and CF are located are at the same point.

Then Fang Chao drew Figure 1-1 based on Figure 1-2.

Pass through A and make MN∥BC to meet the extension lines of DC and DE at M and N.
……

When Fang Chao was doing the test, a figure walked slowly behind him, staring at Fang Chao with a pair of dark eyes, as if he wanted to see how this person who had a perfect score in the previous test solved the questions of the second test. Whether it can also be easily completed in a short period of time.

Fang Chao was working on the topic with ease, when suddenly he felt a familiar wind.

"Hey, teacher, why do you always stand behind me, I didn't cheat?"

The old invigilator said in a deep voice, "I just happened to walk over to you. When did I say you cheated? Don't you know that the test site is quiet? Do the questions well, and I will continue to inspect."

After speaking, the old invigilator walked away and wandered to other places.

Fang Chao let out an "oh", feeling a little strange, teacher, you have been standing behind me for more than 3 minutes just now, how could it be that you just passed by, are you trying to create some psychological pressure on me?But we have no grievances or enmities, why are you targeting me?

The old invigilator moved to another place and continued... to observe secretly.

Fang Chao turned around, and the old invigilator took another two steps casually, but his eyes remained on Fang Chao's side, and I continued to observe secretly.

Originally, it only took about ten minutes or so to solve the first question. Fang was delayed by 3 minutes, and finally wrote down the answer to the first answer question.

∵AD⊥MN, ∴DM=DN
∴∠FDA=∠EDA.

perfect.

The score is in hand!

(Secretly observing you to see if you collect them for me...)
(End of this chapter)