Wonderful little knowledge of mathematics (little knowledge about mathematics)

1. A little knowledge about mathematics

1, zero

At a very early time, people thought that "1" was the beginning of "numerical character table", which further led to other numbers such as 2, 3, 4 and 5. The function of these figures is to count those physical objects, such as apples, bananas and pears. Only later, when there were no apples in the box, did I learn how to count the apples in the box.

2. Digital system

Digital system is a way to deal with "how much". Different cultures have adopted different methods in different times, from the basic "1, 2,3, many" to the highly complex decimal notation used today.

3,π

π is the most famous number in mathematics. Forget all other constants in nature, and you won't forget them. π always appears at the first place in the list. If the number also has an Oscar, then π will definitely win the prize every year.

π or π is the ratio of the circumference of a circle to its diameter. Its value, that is, the ratio of these two lengths, does not depend on the size of the circumference. Whether the circumference is large or small, the value of π is constant. π comes from the circumference, but it is everywhere in mathematics, even involving those places that have nothing to do with the circumference.

4. Algebra

Algebra gives a brand-new method of solving problems, a "cyclotron" method of playing with years. This kind of "maneuver" is "reverse thinking". Let's consider this problem. When the number 25 is added with 17, the result is 42. This is a positive idea. All you need to do is add up these figures.

However, if you already know the answer 42 and ask a different question, what you want to know now is what number and 25 add up to 42. You need to use reverse thinking here. To know the value of unknown x, satisfy equation 25+x=42, and then subtract 25 from 42 to know the answer.

5. Function

Leonhard euler is a Swiss mathematician and physicist. Euler was the first person to use the word "function" to describe expressions containing various parameters, such as: y? =? F(x), one of the pioneers who applied calculus to physics.

2. Wonderful mathematical principles ~

Luban formula: circle, three paths, one side, five oblique seven.

Mathematical basis: circumference = diameter * PI=3. 14 15926.

The diagonal length of a square is equal to the root sign (2) times of the side length,

Root 2= 1.4 14 is about 7/5.

The error is a bit big, but it is from the Warring States period.

Pythagorean theorem hooks three strands, four strings and five.

Mathematical basis: c 2 = a 2+b 2.

16+9 is exactly 25.

Yang Hui's triangle—binomial array

1 1 1 12 1 133 1 1464 1

You can easily find the coefficient of (x+ 1) n by memorizing it.

Han Xin ordered the soldiers.

Three people lost seventy times, five trees and one plum blossom, and seven children were reunited for a whole month and a half, except for 105.

? fr=qrl

3. What is the common sense of mathematics in life?

There are many mathematical problems around our lives, which run through all aspects of our lives. There are many math games in real life, such as children's quick calculation of twenty-four when playing poker, math box-filling games, and even Zhao Benshan's sketches.

For example, "There are seven monkeys in the tree, one on the ground and several others." Wait, examples from life.

These games constitute a colorful picture in our life. We get together every morning. First of all, we make a simple plan for the day, what to do in a day, what time it takes to finish it, 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 the summary of the day. Summarized by a mathematical operation, the result of the operation is a relatively intuitive number. In our real life, shopping, estimating, calculating time, determining location, buying and selling stocks and so on 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. 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.

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; The manhole covers of urban sewers are all round. Do you know why? On the sidewalk, we often see such patterns, which are 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 100 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.

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 food they have earned this year; The workers are also discussing whether the income and expenditure of this year are equal and how much savings there are; The soldiers talked about their training achievements this year and how many achievements they improved; Students' academic performance is the standard to measure a teacher's efforts in the past year; The unit is also making such a summary. 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, budget, degree and so on.

In a word, mathematics in life can be said to be ubiquitous, which seriously affects our lives and is an important condition 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.

4. A little knowledge about mathematics

Go to Baidu Library to check the complete content > The content comes from users: Wonderful ideas and small knowledge of mathematics * * * Numbers In life, we often use the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

Do you know who invented these numbers? These digital symbols were first invented by ancient Indians, and then spread to * * *, and then from * * * to Europe. Europeans mistakenly think that it was invented by * * * people, so it is called "* * * number". Because it has been circulating for many years, people still call them * * *. Now, the number * * * has become a universal digital symbol all over the world.

Ninety-nine grids is the multiplication formula we use now. As early as the Spring and Autumn Period and the Warring States Period BC, Jiujiu songs have been widely used by people.

In many works at that time, there were records about Jiujiu songs. The original 99 songs started from "99.8 1" to "22.24", with 36 sentences.

Because it started with "998 1", it was named 99 Song. The expansion of Jiujiu Song to "One for One" was between the 5th century and10th century.

It was in the 13 and 14 centuries that the order of Jiujiu songs became the same as it is now, from "one for one" to "9981". At present, there are two kinds of multiplication formulas used in China. One is a 45-sentence formula, usually called "Xiao Jiujiu"; There is also a sentence 8 1, which is usually called "Big Uncle Nine".

Music and mathematics moving music often give people a wonderful feeling. The ancients said that if the reverberation lingers for three days, it means singing well, and some people sing out of tune because they don't sing well.

Singing the same song, even singing the same song, gives people a very different feeling.

5. What can I learn in the wonderful mathematics kingdom? /kloc-composition within 0/00 words.

The application of mathematics in real life can not be separated from mathematics, and mathematics can not be separated from life. Mathematical knowledge comes from life and is higher than life, and ultimately serves life.

Indeed, learning mathematics should be applied in real life. Mathematics is used by people to solve practical problems, in fact, mathematical problems arise from life.

For example, there are countless problems such as addition, subtraction, multiplication and division when shopping on the street, and floor plan when building a house. This kind of knowledge is produced in life. In mathematics teaching, we should give students the opportunity to practice, guide students to consciously use mathematical knowledge, analyze and solve practical problems in life with mathematical knowledge and methods, make life problems mathematical, and let students deeply appreciate the application value of mathematics.

Most of the teaching contents of primary school mathematics can be related to students' real life. Teachers should find the "meeting point" between the content of each class and students' real life, and stimulate students' interest in learning mathematics and enthusiasm for participating in learning. In teaching, the teacher's responsibility is not only to induce students' desire to solve practical problems, but also to let students learn to choose the necessary conditions and information from many conditions and information to solve real-life problems and experience the success and happiness of applying mathematics to solve practical problems.

First, solve the problems in life and apply what you have learned. The new curriculum standard points out that students should "realize that there is a lot of mathematical information in real life." Mathematics is widely used in the real world. In the face of practical problems, you can actively try to apply the knowledge and methods you have learned from the perspective of mathematics and seek strategies to solve problems. "

We often encounter this situation, and students still don't understand a topic for a long time. If the teacher links this problem with real life, the students can solve it immediately.

Therefore, as teachers, we should think about how to make full use of students' existing life experience and guide students to apply mathematics knowledge to reality, so as to realize the application value of mathematics in life. Case 1: When the school organized a spring outing, I made up a question for the students to complete: "The school organized students to go for a spring outing, and everyone received 50 yuan in advance. Results The bus fare 16 yuan/person, the entrance fee/person, and the box lunch/box in 5 yuan. Is the money received in advance enough? " Students' interest in solving their own personal experiences is self-evident.

Case 2: Most students in our school are migrant children, and most families do business near the school. At the beginning of school, I chatted with a parent and learned that this year * * * reduced their burden and exempted them from nearly 5,000 yuan in industrial and commercial management fees and health expenses.

These days, we are just learning the laws of addition and combination, so I added another question: This year, the party's policy of benefiting the people is good. Xiaohong's family has been exempted from the industrial and commercial management fee of 2284 yuan, the health fee 1200 yuan, and the personal income tax 1 16 yuan, and the school has been exempted from the borrowing fee. 200 yuan, please do the math. Students can quickly use this law to make simple calculations.