One-dimensional linear equation

-The origin of the equation

/kloc-in the 6th century, with the appearance of various mathematical symbols, especially the French mathematician Vedachuang.

After the system symbols of unknown quantity and known quantity are established, the "unknown quantity equation"

This special concept appeared when it was called "aequatio" in Latin and "equation" in English.

/kloc-Around the 0/7th century, European algebra was first introduced to China, and then "equality" was translated into "equality".

Because the influence of ancient China culture was still very strong at that time, modern western science and culture failed to be timely.

It is widely circulated in China and has a great influence, so "algebra" together with "equation" and so on.

Some subjects or concepts are only studied and studied by very few people.

/kloc-In the middle of 0/9th century, western modern mathematics was introduced to China again. 1859, and British plum.

Missionary Alexander Wylie translated the English mathematician De Morgan's; Translation. Li Wei

These two people attach great importance to the correct translation of mathematical terms. They borrowed or created nearly 400 numbers.

Many Chinese translation learning nouns are still in use. Among them, the translation of "equation" is borrowing.

China used the word "equation" in ancient times. In this way, the word "equation" has the meaning of "including the unknown" for the first time.

The equation of numbers.

1873, another western science disseminator in modern China communicated with Britain.

Father Lanyahe translated Wallis's; ; They translated "equality" into "equality"

Formula ",they mean that" equation "and" equation "should be distinguished, and the equation still means

Arithmetic >; In a sense, the sum equation refers to the "unknown equation". Washington's proposition is that

It has been widely used for a long time. Until 1934, chinese mathematical society made the first trial of nouns.

Check and make sure that "Equation" and "Equation" have the same meaning. Broadly speaking, they mean one yuan n times.

Equation and the system of equations established by several equations. In a narrow sense, it refers to an N-degree unary equation.

Since "Equation" and "Equation" are synonyms, then "Equation" is more concise and clear.

2. Interesting stories about mathematical equations

One day, add, subtract, multiply and divide to go to the movies. After buying the tickets, they are going to walk into the cinema hand in hand.

Suddenly, the conductor stopped them and said, "You can't go in at the same time, you have to go in one by one." After listening to addition, subtraction, multiplication and division, they began to quarrel and said go first. Finally, they decided to look for the wise old man to judge.

When we arrived at the wise old man, we added, subtracted, multiplied and divided and asked, "Grandpa Wisdom, the four of us went to the movies. Who is in front? " "Which one of you has brackets?" The wise old man asked with a smile. "We have brackets."

Add and subtract. "Then the addition and subtraction will go ahead."

The clever old man replied. "Why does addition and subtraction precede multiplication and division?" Multiplication and division means unconvinced.

"As long as who brought the brackets, who will go first. Multiply and divide without brackets, then add and subtract. "

The clever old man explained patiently. Add, subtract, multiply and divide. After thanking the wise old man, he was about to leave when the problem came again. Addition and subtraction have brackets, so who comes first? Who ranks second? There are no brackets in multiplication and division, so who ranks third? Who ranks fourth? Add, subtract, multiply and divide, and run back to ask the wise old man.

The wise old man said: "addition and subtraction are equal sisters, and whoever walks in front will go first;" Multiplication and division are also equal sisters, and whoever walks in front will go first. "After listening to the words of the wise old man, I fully understood the addition, subtraction, multiplication and division before I went to the movies happily.

3. Excuse me, who has a mathematical story about the equation?

There are more and more strange things in the hexapod forest.

For some reason, I howled all night. When they got up in the morning, the white rabbit and goat found the footprints of a monster with six legs on the ground.

The little white rabbit ran and shouted, "No! A six-legged monster was found in the forest. Come and see! " Everyone comes to see these strange footprints. The monkey asked the old goat, "Do you know this footprint?" The old goat took out a magnifying glass and looked at it carefully. He shook his head and said, "Isn't that strange? The first four footprints are very similar to those of wolves, but the last two footprints are not wolves. "

Squirrel hurriedly asked, "What animal's footprint is that?" "The two black circles are printed, and even a few toes can't be seen." The old goat shook his head again.

The little white rabbit asked nervously, "This monster has four wolf claws. It must have eaten our rabbit. What can we do? " "Hey, hey," the monkey laughed twice. "I have only seen six-legged insects, not six-legged monsters. I want to meet this monster! " The monkey whispered a few words in Deer Girl's ear.

After a while, Teacher Lu came running with the blackboard. She shouted: "There are rabbits and pheasants on duty in the Woods tonight, and the number is written on the blackboard!" " Night arrival. The moonlight shone on the ground through the branches.

A six-legged monster appeared. His two heads are in tandem, and he keeps looking around. He soon found a small blackboard hanging on the tree. The blackboard says, "Today rabbits and pheasants are on duty at the east and west ends. Let's talk about the east: if 15 rabbits are replaced by 15 pheasants, then the number of rabbits and pheasants is equal; If 10 pheasant is replaced by rabbit, then the rabbit is three times that of pheasant. Let's talk about the west: the number of rabbits in the west is equal to the number of pheasants in the east, and the number of pheasants in the west is equal to the number of rabbits in the east. "

"Ha ha, rabbit!" The person in charge in front shouted. "Hee hee, pheasant!" The person in charge at the back shouted.

The head in front said, "Brother, which side do you think has more rabbits?" "Good point," said the person in charge at the back. "I'm sure there are 30 rabbits in the east (15 * 2) more than pheasants. Otherwise, how can it be equal to replacing 15? " The person in charge in front said, "Yes! Suppose there are x pheasants and rabbits are (X+30), and then according to the conditions, we can get X+30+ 10=3(X- 10) and X=35, which means there are 35 pheasants in the east, so there are 65 rabbits, but there are 65 pheasants and 35 rabbits in the west. Ha, there are many rabbits in the East. Let's go to the east. "

The head in front faces east. "No, there are many pheasants in the west. Go west. "

The head at the back faces west. Bang, one monster turned into two.

The setting is best ~ ~.

4. Mathematical stories with less than 20 words are related to equations.

When we study many mathematical problems, we can find that the unknowns are not isolated, they are related to some known numbers. This relationship is often expressed as some kind of equivalent relationship. Writing this relationship with letters and numbers is an equation with unknown numbers. The proper name of this equation is Equation.

People's research on equations can be traced back to ancient times. About 3600 years ago, the mathematical problems written by ancient Egyptians on papyrus involved equations with unknowns. Around 825 AD, Al-Hua Lazimi, a mathematician in Central Asia, wrote a book "Elimination and Reduction", focusing on the solution of equations, which had a great influence on the later development of mathematics.

For a long time, the equation has no special expression form, but is described in general language. /kloc-in the 7th century, the French mathematician Descartes first proposed to use letters such as xy and z to represent unknowns, regarded these letters as ordinary numbers, and connected them with operation symbols and equal signs to form an equation containing unknowns. Later, after continuous simplification and improvement, the equation gradually evolved into the present expression form, such as 6x+8=20, 4x-2y=9, x-4=0 and so on.

China's research on equations also has a long history. China's Ancient Mathematics Works

The short story about the equation should not be too difficult.

Interesting math: Li Bai holds a pot to make wine. When he sees a shop, he doubles it. When he sees flowers, he drinks a bucket. When he meets a shop and spends three times, he drinks all the wine in the pot. Q: How much wine is there in the pot? Answer: the original wine in the pot is X analysis: the first time I saw the shop and flowers: X+X-1; Second visit to the store and flowers: x+x-1-1; The equation of [(X+X- 1)+(X+X-) 1 is: (x+x-1)+(x+x-1)-1. I am willing to help you.

Your big friend.

6. A short mathematical story about or equation or equation inequality is urgent ~ ~

How's this?

There are also some math problems written in fairy tales in the Greek anthology. For example, the topic of "mule carrying goods" was once adapted by the great mathematician Euler. The topic is this:

"Donkeys and mules walk side by side on the road of transporting goods. The donkey kept complaining that the goods he carried were too heavy to bear. The mule said to the donkey, "What are you complaining about?" The goods I brought are heavier than yours. If you give me a bag of goods, I will take twice as much as you, but if I give you a bag, we will take the same amount of things. "How many bags of goods can donkeys and mules carry?"

This problem can be solved by the equation:

Cover the donkey with X bag and the mule with Y bag. After the donkey gave the mule a bag, the donkey left x- 1 and the mule became y+ 1. At this time, the mule carries twice as much as the donkey, so there are

2(x- 1)=y+ 1 ( 1)

Because the mule gave the donkey a bag, the mule left y- 1 and the donkey became x+ 1. At this time, mules and donkeys are equal, with

x+ 1=y- 1 (2)

1 and 2 are simultaneous.

This is a binary one-off agenda group.

( 1)-(2) x-3=2，

x=5 (3)

Substituting (3) into (2) gives y=7.

Answer: The donkey used to carry 5 bags, and the mule used to carry 7 bags.

7.200-word mathematical story about simple equations

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The story of mathematician gauss when he was a child

From one to one hundred

Gauss has many interesting stories, and the first-hand information of these stories often comes from Gauss himself, because he always likes to talk about his childhood in his later years. We may doubt the truth of these stories, but many people have confirmed what he said.

Gauss's father works as a foreman in a tile factory. He always pays his workers every Saturday. When Gauss was three years old in the summer, when he was about to get paid, Little Gauss stood up and said, "Dad, you are mistaken." Then he said another number. It turned out that three-year-old Gauss was lying on the floor, secretly following his father to calculate who to pay. The results of recalculation proved that little Gauss was right, which made the adults standing there dumbfounded.

Gauss often joked that he had learned to calculate before he learned to speak, and often said that he learned to read by himself only after consulting adults about the pronunciation of letters.

At the age of seven, Goss entered St. Catherine's Primary School. When I was about ten years old, my teacher had a difficult problem in arithmetic class: "Write down the integers from 1 to 100 and add them up! Whenever there is an exam, they have this habit: the first person who finishes it puts the slate face down on the teacher's desk, and the second person puts the slate on the first slate, thus falling one by one. Of course, this question is not difficult for people who have studied arithmetic progression, but these children are just beginning to learn arithmetic! The teacher thinks he can have a rest. But he was wrong, because in less than a few seconds, Gauss had put the slate on the lecture table and said, "Here is the answer!" " Other students add up the numbers one by one, and their foreheads are sweating, but Gauss is still * * *, and he doesn't care about the contemptuous and suspicious eyes cast by the teacher. After the exam, the teacher checked the slate one by one. Most of them were wrong, so the students were whipped. Finally, Gauss's slate was turned over and there was only one number on it: 5050 (needless to say, this is the correct answer. The teacher was taken aback, and Gauss explained how he found the answer:1+100 =1,2+99 =10/,3+98 =/kloc-. A * * * has 50 pairs and the sum is 10 1, so the answer is 50* 10 1=5050. It can be seen that Gauss found the symmetry of arithmetic progression, and then put the numbers together in pairs, just like the general arithmetic progression summation process.