The property that the top angles are equal is used to explain the phenomenon seen in the process of

One-dimensional space is a line, two-dimensional space is a surface, three-dimensional space is a body, and a parallelogram is a figure on a plane, so it is a two-dimensional space figure and belongs to a space figure.

The equal top angles can be proved, you can draw a picture. The two pairs of vertex angles plus the angles of the same side are all in a straight line, that is, 180°, and the two angles are of course equal.

The degree of the apex angle + the degree of the same near angle = 180°

So it's just an addition of sum and subtraction.

is added the same.

Because: the complementary angles of the same angle are equal, so that the equal of the vertex angle can be explained.

The two straight lines intersect, the top angles are equal, and the change of the two corners in the top angle is the same, as the angle between the two handles (doc) gradually increases, the angle between the scissor blades (aob) also increases correspondingly, the reason is that the top angle is equal

So the answer is: become larger, equal to the apex angle

The diagonal equality produced by the intersecting two lines is the "equal to the top angle" theorem.

Definition of the vertex angle.

This definition can also be described as: "Of the four corners obtained by the intersection of two straight lines, there is a common vertex, and the two corners without a common edge are called opposite vertex angles." "Or" The two sides of an angle are the opposite extensions of the two sides of the other corner, and these two corners are called the opposite top angles. ”

Either way, it captures the essential characteristics of the concept of the apex angle:

One is that the two corners have common vertices; The second is that the edges of the two corners are opposite to each other, so it means that only when two straight lines intersect can the opposite top angle be generated.

2."Equal to the top angle" is an important property that is often encountered.

No matter what kind of graph you are in, as long as there are opposite vertex angles, they are the same size, and they can be connected with an equal sign It is a common method to use the property of equal apex angles to prove that two angles are equal.

It is important to note that the definition of the apex angle should not be confused with its nature. The definition of the vertex angle is to describe the position of the two angles in relation to each other, while the "equal to the vertex angle" is to describe the quantitative relationship between the two angles. Of course, there is a connection between them, and it is only when the two angles are judged by definition to be the apex angles that the two angles can be said to have an "equal" quantitative relationship.

As shown in Figure 2, if we know that the straight lines ab and cd are intersected with o, it can be determined that AOC and BOD are vertex angles, which is obtained according to the definition and because AOC and BOD are vertex angles, then AOC = BOD, which is obtained according to the property of "equal to vertex angles", i.e.,

The straight lines ab and cd intersect at point O, AOC and BOD are the vertex angles (defined for the vertex angles) AOC and BOD are the vertex angles, AOC = BOD (equal to the vertex angles).

It can be seen that "defining the vertex angle" and "equalizing the vertex angle" are two different things and cannot be confused.

3.To learn the theorem that "the vertex angles are equal", we should first look at the graph, think about the question of "what is the relationship between the vertex angles in terms of quantity", and then prove it after making a conjecture.

To prove that two angles are equal, this is not an easy task for students who are just learning inferential proofs. Recall the theorem that you have learned so far about the equality of two angles, and think of the theorem that "the complementary angles of the same angle are equal" and be inspired to get a proof. The reasoning process can be described in written language in combination with graphics, and then "translated" into the geometric reasoning format of symbolic language.

1. You can find a waste can bottle at home, cut it several times with scissors, and the scissors will become very sharp if you cut it a few more times.

2. You can also have tin foil at home, and cut the tin foil a few more times and the scissors will become very sharp.

3. You can also buy good sandpaper with more than 600 meshes, and it will be very sharp after a few sandings.

You can use the method of cutting cans to make the scissors sharper.

Only professional scissors sharpeners master the subtle methods, and if you want to sharpen the tailors, you have to find them;

In addition, tailor scissors have a lifespan, and if you use it too much, you have to replace it with a new one after a period of time. Wang Mazi and Zhang Xiaoquan both sold it, a handful of dozens of yuan.

Looks like scissors sharpening not.

Cannot be used directly for.

Scientists claim to have found the secret to winning in the game "Rock-Paper-Scissors": "Scissors" first.

The latest issue of the British magazine New Scientist published an article saying that the "scissors first" strategy has a psychological basis. The article says that as we all know, the laws of this game are: rock knock scissors, scissors cut cloth, cloth wrap rock.

Scientists have found that the most common first trick people make when playing games is "stones". Therefore, the first move of a slightly more savvy player is usually "cloth". And if you play "scissors", you can win by surprise.

The "scissors first" strategy helped an auction house win a huge contract against a business rival. In 2005, a Japanese collector wanted to auction a famous Impressionist painting, but he couldn't decide between the famous Sothby auction house and Christie's auction house, and he decided to let the two representatives decide to decide the winner in a "rock-paper-scissors" approach. The head of Christie's auction house turned to employees, including his 11-year-old daughter, for a winning strategy.

The little girl asked her dad to come out of the "scissors" first, because "everyone thought you would come out of the stone first". As expected, Sothby's representative met Christie's "scissors" with an open palm, losing the contract worth about $20 million.

The article also says that there are other tricks to ensure that players are invincible, such as telling the other person what trick you are going to make and then implementing it. "No one believes you're going to do that, so they're not going to do anything to beat you."

According to Dong Ningwen of "Modern Express").

Resources. 01--03--News.

Many people think that rock-paper-scissors is just a simple game of gambling. Maybe a game is a matter of luck. Then the next few rounds are a combination of psychology and skill.

There are international contests of rock-paper-scissors. It is a five-game system. In reality, it is generally a three-game system with friends.

Tip one. Reliable statistics prove that the first punch out of the haircut has the greatest winning rate. Because most people will guess in the first game that the opponent will come out with a stone.

Tip two. When a draw or a win. The next game is the right punch.

For example, this time it was scissors against the cloth that won. Next time you're going to have to make a cloth. Because people subconsciously want to beat the punches that came out of the previous round.

So you're out of the scissors. The other party is likely to come out with stones. Tip three.

When you lose. Keep the original two wheels and then change relatively. For example, this time the scissors lose to the rock, and then two rounds of scissors in a row, and then the other party will subconsciously come out of the rock, so it turns into paper on the third time.

Tip four. When you are overwhelmed, you will come out.

Be careful. The scissors are a must-win, and then the stone and then the cloth.

It's strange to me, I'm all out of stone.

Let me teach you, in fact, you can raise your hand and prepare to punch, carefully see if the opponent's hand has changed, if it changes, 100% are out of scissors or paper, then you will be out of the stone, you will have 20% more chance of winning, if you do not change you out of the cloth.

I only see what hunters know, are you interested in watching it? It seems to be from the first few episodes.,Find me if you want to watch it.,I'll help you find it.,There are about 15 minutes to teach you to guess boxing.。

There is ( cut the ashes level is okay, it's okay.

Game Bets: If you win, I'll accept all your claims. Whether it's the reason for your defeat or the truth of your cunning, it can tell you that it doesn't matter if you want me to pay for the crime of insulting the old man of the foolish king

What do you think! On the other hand, if I win, you're going to have to accept all my demands if it's a tie? 」

In that case, I'll just give you a hint of cunning......As a price. Sora suddenly changed, scratching his head as if he was very troubled and said with a smile.

Can you fulfill my little wish? Although I can finally survive a few days with what I have at hand——— but to put it bluntly, after staying here for 4 days, there is no accommodation or food. And at the end of the day, we're still struggling with what to do next......」

Note that it is not explicitly stated what a "small wish" is, that is, any wish can be made) That is, for Sora, whether it is a victory or a draw, the opponent must fulfill his wish.

So, the purpose of the empty here is a draw in the game, not a victory in the outing.