What exactly is mathematics? We say that mathematics is a science that studies the relationship between spatial form and quantity in the real world. It is widely used in modern life and production, and it is an indispensable basic tool for studying and studying modern science and technology, and mathematics is also indispensable in life.
In real life, we will see all kinds of patterns composed of regular polygons. For example, we will see ceramic tiles at home, shops, central squares, hotels, restaurants and many other places. They usually have different shapes and colors. Actually, there is a math problem.
On the tiled floor or wall, adjacent floor tiles or tiles are evenly attached together, and there is no gap on the whole floor or wall. Why can these shapes of floor tiles or tiles cover the ground without gaps?
For example, a triangle. A triangle is a plane figure composed of three line segments that are not on the same line. As we know, the sum of the inner angles of a triangle is 180 degrees, and the sum of the outer angles is 360 degrees. The ground can be covered by six regular triangles.
Looking at the regular quadrangle, it can be divided into two triangles. The sum of the internal angles is 360 degrees, the degree of one internal angle is 90 degrees, and the sum of the external angles is 360 degrees. The ground can cover four regular quadrangles.
What about regular pentagons? It can be divided into three triangles, the sum of internal angles is 540 degrees, the degree of one internal angle is 108 degrees, and the sum of external angles is 360 degrees. It cannot cover the ground.
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From this, we come to the conclusion. An N-polygon can be divided into (n-2) triangles, and the sum of internal angles is (n-2)* 180 degrees, the degree of an internal angle is (n-2)* 180÷2 degrees, and the sum of external angles is 360 degrees. If (n-2)* 180÷2 can be divisible by 360, then it can be used to pave the way; If not, it can't be used to pave the road.
Ceramic tiles, such ordinary things, have such interesting mathematical mysteries, not to mention other things in life?
As for literature, art and sports, mathematics is essential. We can see from CCTV's literary and art grand prix program that when an actor is graded, it is often "to remove a highest score" and then "to remove a lowest score". Then, the average score of the remaining scores is calculated as the actor's score. Statistically speaking, "the highest score" and "the lowest score" have the lowest credibility, so they are removed.
As Mr. Hua said: In the past 65,438+000 years, mathematics has developed by leaps and bounds. It is no exaggeration to use "ubiquitous mathematics" to summarize the wide application of mathematics in various aspects, such as the vastness of the universe, the tiny particles, the speed of rockets, the cleverness of chemical industry, the change of the earth, the mystery of biology and the complexity of daily use. It can be predicted that the more advanced science is, the wider the scope of applied mathematics will be.
It can be asserted that there are only departments that can't apply mathematics, and in principle, they will never find areas that can't apply mathematics.
2. Mathematics in life
The world is full of wonders, and there are many interesting things in our mathematics kingdom. For example, in my ninth exercise book, there is a thinking question that reads: "A bus goes from Dongcheng to Xicheng at a speed of 45 kilometers per hour and stops after 2.5 hours. At this time, it is just 18 km away from the center of the east and west cities. How many kilometers is it between East and West? When Wang Xing and Xiaoying solve the above problems, their calculation methods and results are different. Wang Xing's mileage is less than Xiao Ying's, but xu teacher said that both of them were right. Why is this? Have you figured it out? You can also calculate the calculation results of both of them. " In fact, we can quickly work out a method for this problem, which is: 45× 2.5 = 1 12.5 (km),112.5+18 =130.5 (. In fact, we have neglected a very important condition here, that is, the word "Li" mentioned in the condition is "just 18 km from the center of the east and west cities", and it does not say whether it has not yet reached the midpoint or exceeded the midpoint. If the distance from the midpoint is less than 18km, the formula is the previous one; If it is greater than 18km, the formula should be 45× 2.5 = 1 12.5 (km), 1 12.5-65448. Therefore, the correct answer should be: 45 × 2.5 = 1 12.5 (km),12.5+18 =130.5 (km),/kloc-. Two answers, that is to say, Wang Xing's answer and Xiaoying's answer are comprehensive. & ltBR & gt In daily study, there are often many math problems with multiple solutions, which are easily overlooked in practice or examination. This requires us to carefully examine the problem, awaken our own life experience, scrutinize it carefully, and fully and correctly understand the meaning of the problem. Otherwise, it is easy to ignore other answers and make a mistake of generalizing.