This paper discusses the mathematics problems in life from the daily trivial matters, so that everyone can have a preliminary understanding of mathematics in life and let us further understand the importance of mathematics in life. Only by recognizing that mathematics exists in real life and is widely used in the real world can we truly appreciate the application value of mathematics, and when facing practical problems, we can actively try to use the knowledge and methods we have learned and seek solutions from the perspective of mathematics. Because of the fun of mathematics in life, we realize that there are infinite symphonies and beautiful poems in mathematics.

Key words: frequency of use, life span, feature quantity and fun.

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Introduction:

"selling tomatoes ... one yuan and three pounds." This simple Hawking has a math problem. In other words, there are many math problems in our life. These mathematical problems and phenomena run through all aspects of life, including common sense in general life, carelessness in production practice, and games and fun in life.

Generally speaking, mathematics in life is divided into four aspects: first, mathematics in daily life; The second is the relationship between life and mathematics; The third is the fun of mathematics in life; The fourth is the influence of mathematics on life. Through the discussion of these four aspects, we can have a deeper understanding of mathematics in life and pay more attention to mathematics in life.

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Mathematics in daily life

2. 1 One-day life is accompanied by mathematics.

Come together in the morning, first of all, make a relatively simple plan for the day's work, what work to do in a day, how long it will take to complete, and what is the budget expenditure and income of this day; After having a preliminary plan, start to implement the work of the day; A day's work is accompanied by various calculations and budgets, which is mathematics. After a day's work, the next step is to summarize the day's work. Summary is carried out through a mathematical operation, and the result of the operation is a relatively intuitive number.

From the above example, it can be clearly seen that everything in a day's life is accompanied by numerical problems, that is to say, mathematical problems are accompanied by every little thing in life.

2.2 The frequency of using mathematics in daily life is high.

The development of society has brought about changes in social life style, content and rhythm. What does this change have to do with mathematics? The statistical results show that the mathematical information closely related to people's daily life is arranged according to the frequency of occurrence, which mainly includes: number (large number), percentage, fraction, proportion, graphs and charts, statistics and mathematical terms. These contents appear in different fields including: politics, military affairs, economy, science and technology, education, culture, health, sports, life, finance and insurance, advertising and so on. For example, in life, if a person brushes his teeth without turning off the tap, he will waste 7 glasses of water once. How much water will be wasted in a day if there are 40 people in each class? How much water is wasted in the whole country a day? This number must be a big number, and we have enhanced our awareness of water conservation while using big numbers.

According to the statistical results, the following conclusions can be drawn:

(1) The quantitative characteristics of mathematics are increasingly reflected in people's daily life. A large number of figures and percentages appear in the news and advertisements of economy, science and technology, politics and life in a fairly high proportion, which shows that in a society where commodity economy is dominant and science and technology are developing continuously, the transmission and exchange of information is more quantitative than qualitative.

(2) Graphs and charts, especially various statistical charts and tables (such as histograms, fan-shaped statistical charts and some image statistical charts) appear more frequently, and they appear in newspapers and periodicals with the characteristics of clarity, clarity, large amount of information and strong contrast. From these frequent histograms, fan-shaped statistical charts and data statistics tables, it can be seen that basic knowledge and methods of statistics are essential to understand information and newspapers.

(3) Life-related reports and advertisements are also rich in mathematical content. In advertisements, these contents are mostly related to insurance, real estate, savings, tourism and other industries, such as orientation maps, histograms, mathematical terms, formulas and so on. With the continuous development of the above industries, it is not difficult to predict. In the future society, mathematics will be more and more closely related to economy and people's daily life. As far as today's daily life is concerned, mathematics has been widely used in the budget of a project, the sale of daily necessities, the dialogue between people, the arrangement of time in a day, the arrangement of various affairs in a stage, the summary of a day, the handling of various affairs in a stage, and the working procedures. This shows that the frequency of mathematics has been quite high. 3. The relationship between life and mathematics

Mathematics has a very close relationship with people's lives. People's daily life is inseparable from mathematics, and shopping, estimating calculation time and determining location are all related to mathematics. It can be said that mathematics is ubiquitous in people's lives and it is an indispensable tool in daily life. No matter what occupation people are engaged in, they will use mathematical knowledge and skills and mathematical thinking methods to varying degrees. Especially with the popularization and development of computers, this demand is increasing day by day. Moreover, mathematics, like language, is a tool with international universality. It can be said that there are countless mathematics in nature, such as the honeycomb built by bees, whose surface is composed of wonderful mathematical figures-regular hexagon, which consumes the least material and time; We often see this pattern on Zouzi pedestrian street, paved with square or regular hexagonal floor tiles of the same size, so that the floor tiles of this shape can be paved into a flat ground without pores. There is a mathematical truth in economics. For another example, 100 households need to install telephones, but actually they don't need 1000 telephone lines. As long as they are kept busy for a period of time, the installation cost can be greatly saved, which embodies the role of mathematical statistics. So life and mathematics are inseparable. There is mathematics in life, and mathematics is the epitome of life.

3. 1 The characteristic of life is mathematics.

At the end of the year, the businessman said in the conversation what my income was this year and how it compared with last year; Farmers are also talking about how much income they earned this year, how much income they earned, and how much food they earned; The workers are also talking about whether my income and expenditure this year are equal and how much savings I have; The soldiers talked about their training achievements this year and how many achievements they improved; The provision of students' academic performance is the best reward for a teacher's hard work in the past year; The unit is also making such a summary one by one.

The end of one year is like this, and the beginning of the next year also needs a budget; People are doing the same thing every day, every month, every quarter and every stage; A person, a family, a unit, an organization, a country, etc. They all use mathematical methods to do certain operations on them in different time, place, space, people and things. And then get an intuitive numerical index as the goal, conclusion, prediction, degree, etc.

To sum up, mathematics is indeed a characteristic quantity in life. 3.2 Mathematics promotes the improvement of living standards.

Mathematics has promoted the development of digital society and the in-depth development of science, and has been widely used in various fields of the real world. Whether it is weather forecast, savings, market survey and forecast in our daily life, or gene map analysis, engineering design, information coding, quality monitoring and so on. It is inseparable from the support of mathematics. In today's efforts to transform scientific and technological achievements into productive forces, we actively seek the practical background and application fields of new knowledge, and open up a broader application space, thus promoting the improvement of our living standards.

There are always some math problems in life that push people's brains and actions. "China has caught up with the level of moderately developed countries in the middle of this century." This prompted our brains to think about how to develop the economy to catch up with the per capita income of moderately developed countries in the middle of this century, so people kept thinking about the road of economic development in China. Once they have a new development idea, people should act immediately to open up a new road for China's economic development, so as to promote economic development and improve people's living standards.

In addition, in all our activities, to achieve one thing, we are often restricted by various subjective and objective conditions. A natural idea is: how to get the best effect at the lowest cost under the existing conditions. That is, how to realize the optimization problems such as "the nearest, the shortest time, the shortest distance and the best benefit", and the corresponding mathematical method is the optimization method. If the objective and subjective conditions in optimization can be expressed as linear functions, then the corresponding optimization problem is called linear programming problem. Although this kind of problem is simple, it is the most common in various economic activities. There are many linear programming problems in economy, industry, national defense, urban planning, transportation and other fields. In daily life, we always try our best to get the best products at the best price, get the highest profits at the lowest price, try our best to make full use of the limited means of production, choose the feasible best route and get the best classroom effect in a limited time; Wait a minute.

How much is the ticket for four people to Beijing? Which mode of transportation is the most economical? How much should I refund for ten yuan for a piece of toothpaste? How many minutes did it take to go out at five and come back at a quarter past six? And so on, these problems are promoting people's thinking, applying mathematical methods to think in different fields, promoting people's actions, improving people's outlook on life and affecting people's daily life. Therefore, we should make friends with mathematics, which is an indispensable tool for our labor and study, and can help us to process all kinds of data, calculate proofs and reason. 4. There is a lot of fun in mathematics in life.

Now, there are many math games. For example, children can count to twenty-four when playing poker, and there are math puzzles. Even in Zhao Benshan's sketches, there are many such math games. For example, "There are seven monkeys in the tree, one monkey on the ground and several monkeys." Wait, examples from life. These games constitute a colorful picture in our life.

Next, I illustrate the fun of life mathematics through several life examples: (1) Drop a drop of ink in the center of a piece of paper, fold the paper in half and flatten it along the middle of the paper, and then open it. What are the characteristics of the ink patterns on both sides of the crease? It must be symmetrical, which embodies the mathematical knowledge and fun of axial symmetry. (2) When playing snooker, when there is an obstacle between the "main ball" and the "target ball", in order to hit the target ball, the main ball should first hit the edge of the billiard table and try to rebound before hitting the target ball. As shown in the figure below,

The main ball A hits the point B on the edge of the table, and then bounces and hits the target ball C. (According to the principle that the incident angle is equal to the reflection angle) In the figure, ∠ABD=∠EBC, the target ball starts from point A and passes through point B to point C, which is equivalent to directly hitting the target ball C' from point A.. Here is the principle of axisymmetric transformation of graphics. (3) There are two glasses of water with a water content of 100g, of which one contains 30g sugar and the other 25g sugar, which is sweeter? Of course, the first cup is sweeter. If two glasses of water are 40 grams and 45 grams respectively, the first glass contains 30 grams of sugar and the second glass contains 35 grams of sugar, which is sweeter? You need to compare with percentage knowledge. (4) When you drive along a flat road, the tall buildings in front of you seem to "sink" behind the shorter buildings in front, and when you look back after passing them, those buildings that "sink" gradually "emerge".

In short, mathematics in life is full of fun, which can be said to be everywhere.

Mathematics has a great influence on life.

The influence of mathematics on life shows the position and function of mathematics in life. Food, clothing, housing and transportation are the foundation of social life. In the past, people sought to eat enough and wear warm clothes to reach a well-off level. With the improvement of living standards, people pursue balanced nutrition, novel clothing design, reasonable land use, comfortable houses and so on. In fact, in daily life, the modes of schooling, employment, housing, medical care, retirement and providing for the aged are changing, becoming more and more selective, and it is increasingly necessary to reduce dependence and enhance autonomy, and people need to use their own brains to analyze, criticize and make decisions.

Faced with many choices, some people are like a duck to water, while others are at a loss. Whether you are used to it or not, whether you can accept it or not, "precipitation probability" has suddenly appeared on TV and newspapers. In the near future, every message in news reports will be marked with "true probability"; In the TV program preview, "viewing probability" will be written next to each program. In addition, there are watermelon maturity rate, train punctuality probability, efficacy probability, advertising reliability probability and so on. In short, everything in the world is like this, and we just use mathematics to help restore its true colors. If there is no mathematics and pricing in life, our business and economic activities cannot be carried out; Without mathematics, scientific calculation can not be carried out, and our scientific research can not be carried out; Without mathematics, we can't count, and our basic agricultural production will become chaotic; Without mathematics, even the most basic daily life can't go on, because without mathematics, we can't exchange in daily life.

From the above, we can see that mathematics seriously affects our lives and is an important condition of life. As long as we are good at properly applying mathematics to real life and solving practical problems, we can better reflect that mathematics serves life. It is precisely because of the good observation and diligent thinking of practical problems in life that Newton discovered gravity, and Euler successfully solved the "Seven Bridges of Konigsberg" through mathematical abstraction, and established graph theory and linear programming through the "Seven Bridges of Konigsberg". As long as we are good at observation and diligent in thinking, many new problems in real life will be solved continuously, and the mathematical language in life can convey a lot of information to people from all walks of life through various channels.

6. Summary

Generally speaking, mathematics in life is not only a tool in life, but also a necessity in life, which affects people's lives. Mathematics in life is the characteristic quantity that people pursue, and it is also a pleasure in life. Therefore, we can't ignore the mathematics in life, we should attach importance to it and develop and use it to the maximum.