The world of mathematics is really vast. From point to line, from line to surface, from surface to body. All contain a wealth of knowledge. I remember there was a famous adage: Mathematics is much bigger than science because it is the language of science. One can imagine the greatness and charm of mathematics!

However, in the family of mathematics. There is a pair of brothers that deeply attracts me. Their shape, their relationship, and their universality make people feel that they are always by our side, very close to us. They are axisymmetric figures.

An axisymmetric figure is a figure that must be folded along a certain straight line, and the parts on both sides of the straight line overlap each other. The reason why we talk about their relationship is that the two of them are always connected by a straight line. , like a pair of inseparable brothers, the relationship is very close. The line that pulls them together is their axis of symmetry. Of course this axis of symmetry acts like an impartial judge. The length, area, size, etc. of the left and right sides are exactly the same. The only difference is the direction they are facing.

We have seen them in mathematics textbooks, and we have also come into contact with and understood them. But what impressed me more was the graphics or things they played and composed in daily life.

1. Axisymmetric figures in life

1. Axisymmetric figures in nature

When I walk on the street, I often see flying objects Go butterflies. When a butterfly stayed on a flower and opened and closed its wings, I found that if the midpoint of the butterfly's two antennae were connected to the tail, the straight line where the connected line segment was located was its axis of symmetry. The wing on the right is like the wing on the left turned over along the axis of symmetry. There are many animals with axially symmetric figures like butterflies. Such as dragonflies, moths, etc. If it's autumn, looking at the golden fields of rice fields from a distance, people can't help but feel that it's another harvest season. In this joyful season, I was walking on the path beside the field and picked up a golden leaf. After observing it carefully, I found that the leaves also have an axis of symmetry. If we regard the meridian in the middle of the leaf as the axis of symmetry on the left and right sides, then fold the right part of the leaf in half along this axis of symmetry, so that it coincides with the half of the leaf on the left.

2. Axisymmetric graphics in trademarks

Once, my family and I went to the Bank of China to withdraw money, and I accidentally discovered that the logo of the Bank of China is also an axisymmetric graphic. This figure has two axes of symmetry. The first one is formed by connecting two vertical lines in the icon, and the other one is the midpoint of the line segment connecting the two horizontal lines above and below the box. The straight line it is on is its second axis of symmetry. Like Bank of China, there are axisymmetric graphics of China Unicom, Agricultural Bank of China and Mercedes-Benz. But if you feel that you have not noticed the previous examples, then the example mentioned below must be very familiar to you. This example is a trademark. Let me give you one first. Usually my biggest interest is eating snacks. So I am very familiar with the trademark "Wangwang". I found that in the trademark Wangwang, the straight line where the line segment you want to connect is located from the midpoint on the hair to the midpoint of the line segment between the heels of the two feet is the axis of symmetry. It is this axis of symmetry that divides the Want Want icon into two equal parts. There are many other trademarks with an axis of symmetry like Wangwang. For example: Wuliangye’s trademark, McDonald’s trademark, CONVERSE trademark, etc. Moreover, these graphics are common in our daily life. This does not tell us that as long as we observe life seriously and carefully, mathematics is everywhere.

2. Axisymmetric figures in architecture

After talking about the more common and common axisymmetric figures in life, we should also talk about the magnificent buildings with axial symmetry in architecture. . Like our Tiananmen Rostrum in China. If a line segment is used to connect the left and right sides of the Tiananmen Gate Tower, the straight line where the midpoint of the line segment is located is the axis of symmetry. Doesn’t this axis of symmetry divide the Tiananmen Gate Tower into two equal parts? The Eiffel Tower in France is one of the iconic buildings in France.

It brings more interest to words and sentences, and also adds a very beautiful touch to literature.

4. Axisymmetric graphics in the Olympic Games

The 2008 Beijing Olympic Games is coming soon. In this grand event that has excited all Chinese people and attracted people from all over the world to participate in different forms. It is not difficult for us to find an axially symmetrical figure - the Olympic five-ring flag.

We can connect the point A where the yellow and green rings touch the Olympic five-ring flag (as shown in Figure 1) with the point B on the black ring. At this time, the axis of symmetry is the line segments A and B. That straight line.

If there is an Olympic five-ring flag at the Olympics, there will of course be an Olympic mascot. The mascot of the 2008 Beijing Olympics was the Olympic Fuwa. Take a closer look at our Olympic Fuwa, and you can’t help but love it. Especially Fuwa Jingjing is even more adorable. His honesty and simplicity make people feel close to him. Picture 2 shows Fuwa Jingjing lifting weights. If you look at the picture in Figure 2, you will find that if you connect point A in this picture to point B at the bottom. Then the straight line where this line segment lies is the axis of symmetry of Fuwa Jingjing. Unexpectedly, it turns out that the Olympic Fuwa is also an axially symmetrical figure.

Also at the Olympic Games, when the national flags of various countries slowly rose, it triggered my association with axially symmetrical graphics. Like the British flag, its axis of symmetry is the midpoint of the upper and lower line segments of the flag, and the straight line where the connected line segments are located. There are many more flags like this. Such as Canadian flag, Italian flag, etc.

The ever-changing axially symmetrical figures dazzled me and made me dizzy. In every change, many surprises can be found. Axisymmetric changes are also everywhere, and they exist in every corner, which also brings us a lot of convenience in studying them.

In the process of studying axisymmetric figures, I learned that mathematics can only be discovered if we observe carefully. Only if we understand mathematics and are good at using mathematics in our lives can we integrate mathematics into all aspects. And only if we integrate mathematics into all aspects, can we study mathematics better.

In fact, the world of mathematics is really big. At this time, I really wanted to turn myself into a mountain and stand in the middle of mathematics. Become flowing water traveling through mathematics, become white clouds floating in mathematics, become birds soaring within mathematics.

I sincerely hope that everyone will use the eyes to discover beauty to discover mathematics! Feel the math!