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Summary of Elementary School Mathematics Knowledge - Perimeter, Area, Volume Formulas and Related Knowledge of Graphs.

Rectangle circumference = (length + width) 2

Rectangle area = length and width.

Square Circumference = Side Length 4

Square Area = Side Length Side Length.

Triangle area = base height 2

Parallelogram area = base height.

Trapezoidal area = (top bottom + bottom bottom) height 2

The circumference of the circle is equal to the diameter or radius of 2 i.e. c = d or c = 2 r

The area of the circle is equal to the square of the radius.

The area of the ring is equal to the square of the large radius and the square of the small radius).

The circumference of the semicircle = half of the circumference of the circle + the diameter i.e.: r + 2 r

Surface area of the box = (Length & Width + Length & Height + Width & Height) 2

The volume of the box = length, width, height, or base area height.

Surface area of the cube = edge length Ridge length 6

The volume of the cube = edge length edge length edge length.

Surface area of the cylinder = 2 base areas + side area.

Side area = bottom perimeter height.

The volume of the cylinder = the base area is high.

Volume of the cone = base area height 3

Both the box and the cube have 6 faces, 8 vertices, and 12 edges.

The three edges that intersect at the same vertex are called the length, width, and height of the box.

The cube can be seen as a special kind of cuboid.

A minimum of 8 identical small cubes is required to form a large cube.

The upper and lower bottom surfaces of the cylinder are circular, and they are both equal in area.

The sides of the cylinder are rectangular, its length is the circumference of the base of the cylinder, and its height is the height of the cylinder.

The underside of the cone is also rounded, and the sides are fan-shaped.

The volume of a cylinder is 3 times the volume of a cone of the same height as the bottom.

The radius of the great circle is the diameter of the small circle, so the area of the great circle is 4 times the area of the small circle.

Cut the largest circle in a square, and the length of the sides of the square is the diameter of the circle.

Cut the largest circle in a rectangle, and the width of the rectangle is the diameter of the circle.

When a rectangle is drawn into a parallelogram, the area becomes smaller than before.

The circumference of the rectangle is divided by 2 and then proportionalized; The sum of the edges of the box is divided by 4 and then assigned.

The radius of the circle is 3 times larger, the circumference is also 3 times larger, and the area is 9 times larger.

If the edge length of the cube is expanded by 3 times, the surface area is increased by 9 times, and the volume is increased by 27 times.

The base radius of a cylinder or cone is 2 times larger and the volume is 4 times larger.

Common charts are bar charts, line charts, and fan charts.

The characteristic of bar charts is that it is easy to see the number of various quantities; The characteristic of the line chart is that it is not only possible to see the number of various quantities, but also.

Ability to clearly represent changes in the number of additions and decreases; The characteristic of the fan chart is that it can clearly represent the relationship between the number of parts and the total number.

What, not even a problem.

Yes, you write your question in the question supplement.

1. As early as more than 2,000 years ago, our ancestors used magnets to make instruments to indicate the direction, and this instrument is Sinan.

2. The first to use the small dot as a decimal point was a German mathematician named Kravis.

4. "Tangram" is a kind of puzzle toy in ancient China, which is composed of seven thin plates that can be put together into a large square, and the pattern of the spelling out is varied, and it was later spread to foreign countries called Tang Tu.

5. Legend has it that as early as 4,500 years ago, our ancestors used carved leaks to keep time.

6. China is the first country to use rounding for calculation.

7. Euclid's most famous work, Geometry Primitives, is the foundation of European mathematics, proposing five major postulates and developing into Euclidean geometry, which is widely regarded as the most successful textbook in history.

8. Zu Chongzhi, a mathematician, astronomer and physicist in the Southern and Northern Dynasties of China, calculated the value of pi to the 7th digit.

9. The Dutch mathematician Ludolph calculated pi to the 35th place.

10. Archimedes, known as the "father of mechanics", has more than 10 kinds of mathematical works that have been circulated in the world, and Archimedes once said: Give me a fulcrum, and I can lift the earth. This sentence tells us to have the courage to find this fulcrum, to use it to find the truth.

mathematics or maths, from the Greek, "máthēma"; Often abbreviated as "math"), it is a discipline that studies concepts such as quantity, structure, change, space, and information, and is a kind of formal science from a certain point of view.

Mathematics also plays an irreplaceable role in the historical development and social life of mankind, and is also an indispensable basic tool for learning and researching modern science and technology.

People call 12345679 "missing 8 numbers", and this "missing 8 numbers" has many surprising characteristics, such as multiplying it by a multiple of 9, and the product will be composed of the same number, which is called "all colors". For example:

These are all 1x 9 to 9x 9x.

There are also to 171. In the end, the answer is:

In palindromic Chinese, there are palindromic verses and couplets, such as:"Lingshan Giant Buddha, Buddha Mountain Spirit","The guest is a natural residence, and it is actually a guest in the sky"And so on, all of them are wonderful palindrome sentences that are in line with mindfulness and inverted thoughts.

The palindromic number is similar, whether it is read backwards from left to right or backwards from right to left, the result is the same characteristic. Many mathematicians are fascinated by this.

There are infinitely many primes in palindrome numbers: 11, 101, 131, 151, 191, ....... With the exception of 11, all palindromic primes have an odd number of digits. The reason is simple:

If the number of digits of a palindromic prime is even, the sum of its digits in the odd digits is necessarily equal to the sum of the digits in the even digits; According to the divisibility theory of numbers, it is easy to judge that such a number must be divisible by 11, so it cannot be prime.

With the help of electronic computers, people have found that the proportion of palindrome in the perfect square number and the complete cubic number is much larger than the proportion of the palindrome in the general natural number. For example, 112 = 121, 222 = 484, 73 = 343, 113 = 1331 ......It's all palindromes.

Palindromic primes to the fourth power, the fifth power, and higher powers have not been found. So mathematicians conjectured: there is no such thing as nk(k 4; n and k are natural numbers).

In the practice of electronic calculators, an interesting fact was also discovered: the sum of any natural number and its reciprocal number is added to ,...... the reciprocal number of the sumAfter a finite number of steps, a palindrome number will eventually be obtained.

(1) Did you know? China was the first country in the world to use rounding for calculations. Rounding has been used for calculations for about 2,000 years.

2) Among the world's four oceans, the average depth of the Pacific Ocean is about three times that of the Atlantic Ocean, the average depth of the Pacific Ocean is 400 meters more than that of the Atlantic Ocean, and the average depth of the Indian Ocean is 103 meters less than that of the Pacific Ocean. What is the average depth of water in the Atlantic, Pacific, and Indian Oceans?

3) Xiaodong is a small netizen, and he has to go to the Internet every day to take a look. Yesterday, he saw this information on the Internet: China discharges about 316 tons of sewage into the sea every second on average, the United States twice as much as China, Russia three times as much as China, and other coastal countries have 29 times more problems with China.

Sentences in praise of math.

1 Mathematics is a spirit, a rational spirit.

2 Mathematics is the highest form of all knowledge.

3. Mathematics is the most brilliant jewel in the crown of human knowledge.

4 Mathematics is the instrument of knowledge and the source of other knowledge tools, and all sciences that study the order and measure of mathematics are related to mathematics.

There is a lot of knowledge in mathematics, such as 1+1=2 is what we prove.

Math trivia is that math is not real math.

Epitaph of a mathematician.

Some mathematicians dedicated their lives to mathematics and posthumously carved on their tombstones with symbols representing their life's achievements.

The ancient Greek scholar Archimedes died at the hands of Roman enemies attacking Sicily (before his death he was still in the Lord: "Do not break my circle"). Later, in his honor, the figure of the ball cut into the cylinder was engraved on his tombstone, to commemorate his discovery that the volume and surface area of the ball were two-thirds of the volume and surface area of the inscribed cylinder.

After the German mathematician Gauss discovered the ruler and gauge of the regular seventeen-sided shape, he gave up his original intention to study literature and devoted himself to mathematics, and even made many significant contributions to mathematics. Even in his will, he suggested that a tombstone with a regular seventeen-sided prism as the base be built for him.

In the 16th century, the German mathematician Rudolph spent his whole life calculating pi to 35 decimal places, which later generations called Rudolph's number, and after his death, others engraved this number on his tombstone. After his death, the Swiss mathematician Jacob Bernoulli, who studied the spiral (known as the thread of life), was engraved on his tombstone with a logarithmic spiral, and the inscription reads: "I have changed, but I am the same."

It's a pun that both portrays the nature of the spiral and symbolizes his love for mathematics.

Let's just talk about this, it can be discussed for a long time: the 3 cycles are big or 1 big one-third multiplied by 3 equals one, and the 3 cycles that one-third is equal to which is bigger?

This issue can be discussed, but the end result is just as big.

Origins and early development of mathematics:

Mathematics, like other branches of science, is a kind of intellectual accumulation developed through human social practice and production activities under certain social conditions, and its main content reflects the quantitative relations and spatial forms of the real world, as well as their relationships and structures, which can be confirmed from the origin of mathematics

The Nile River in ancient Africa, the Tigris River and the Euphrates River in West Asia, the Indus River and the Ganges River in Central and South Asia, and the Yellow River and Yangtze River in East Asia were the birthplaces of mathematics Due to the needs of agricultural production, the ancestors of these regions accumulated rich experience from long-term practical activities such as controlling floods and irrigation, measuring the area of fields, calculating the volume of warehouses, calculating calendars suitable for agricultural production, and related wealth calculations and product exchanges, and gradually formed corresponding technical knowledge and related mathematical knowledge

It's an interesting math experience, and it's a good way to use it for math reporting.

People call 12345679 "missing 8 numbers", and this "missing 8 numbers" has many surprising characteristics, such as multiplying it by a multiple of 9, and the product will be composed of the same number, which is called "all colors". For example:

12345679*18=22222222212345679*27=333333333……12345679*81=999999999 these are 1 times 9 to 9 times 9.

There are also to 171. In the end, the answer is:

12345679*171=2111111109 is also "all the same."

You can look for it on the Internet.