Divide a line segment into two parts so that the ratio of one part to the total length is equal to the ratio of the other part to this part. The ratio is [5 (golden section.
1/2)- 1]/2, and the approximate top of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called golden section, also called Chinese-foreign ratio. This is a very interesting number. We approximate it with 0.6 18, and we can find it by simple calculation:1/0.618 =1.618 (1-0.618). The golden section refers to dividing a straight line (or rectangle) into two different parts, and the dividing point (or line) separates the larger part from the smaller part in a certain proportion (as shown in figure 1). The specific proportion formula is: AC/BC=AB/AC(AC is the long side and BC is the short side), and its ratio is about 1.6 18: 1 or 1: 0.6 18. AC/BC= 1.6 18, such as rectangular ABCD AB = 2；; AD = 1； BD =√5； (AD+DB)/AB=(
Question 2: What does the golden section mean? This is an old story.
. The founder of the golden section was ancient Greece.
Under the very limited scientific conditions at that time, he boldly asserted that if the ratio of one part of a line segment to another part is exactly equal to the ratio of the other part to the whole line segment, that is, 0.6 18, then this ratio is
Give people beauty. Later, this magical proportional relationship was discovered by famous ancient Greek philosophers and aesthetes.
Known as the "golden section law"
There is no clear conclusion about its magic and magic power in the field of mathematics, but it often plays an unexpected role in practice.
Divide a line segment into two parts so that the ratio of one part to the total length is equal to the ratio of the other part to this part. The ratio is [5 (
1/2)- 1]/2, and the approximate value of the first three digits is 0.6 18. Because the shape designed according to this ratio is very beautiful, it is called golden section, also called Chinese-foreign ratio. This is a very interesting number. We approximate it with 0.6 18, and we can find it by simple calculation:1/0.618 =1.618 (1-0.618).
And other aspects also play an important role. The golden section refers to dividing a straight line (or rectangle) into two different parts, and the dividing point (or line) separates the larger part from the smaller part in a certain proportion (as shown in figure 1). The specific proportion formula is: AC/BC=AB/AC(AC is the long side and BC is the short side), and its ratio is about 1.6 18: 1 or 1: 0.6 18. AC/BC= 1.6 18, such as rectangular ABCD AB = 2；; AD = 1； BD =√5； (AD+DB)/AB=(
Question 3: What does the golden section mean? The most basic formula of the golden section is to divide 1 into 0.6 18 and 0.382. These two formulas have the following characteristics: any number in the (1) series is composed of the sum of the first two numbers. (2) The ratio of the former number to the latter number approaches a fixed constant, that is, 0.6 18. (3) The ratio of the last number to the previous number approaches 1.6 18. (4) 1.6 18 and 0.6 18 are reciprocal, and their product is approximately equal to 1. (5) If any number is compared with the previous second number, its value approaches 2.618; If compared with the second number, its value tends to 0.382. Straightened out, the above singular combination can not only reflect the two basic proportions of the golden section, 0.6 18 and 0.382, but also the following two mysterious proportions. Namely: (1) 0. 19 1, 0.382, 0.5, 0.6 18, 0.809 (2) 1, 1.382,
Question 4: What does the golden section 0.6 18 mean? The golden ratio refers to dividing the whole into two parts, and the ratio of the larger part to the whole is equal to the ratio of the smaller part to the larger part, which is about 0.6 18. This ratio is recognized as the most aesthetic ratio, so it is called the golden section. It is said that in ancient Greece, Pythagoras was walking in the street one day. Before he passed the blacksmith's shop, he heard the blacksmith strike the iron, so he stopped to listen. He found that the blacksmith had a regular rhythm in striking iron, and the proportion of this sound was expressed mathematically by Pythagoras. The golden ratio not only plays an important role in painting, sculpture, music, architecture and other artistic fields, but also plays an important role in management and engineering design.
Question 5: What are the highest and lowest positions of the golden section?
Question 6: What is the golden section of mankind? The ratio of upper body and lower body: The ratio of upper body and lower body should be 8, which is in line with the golden section law.
2, bust: measured from the armpit along the top of the chest, bust should be half the height.
3. Waist circumference: Under normal circumstances, measure the thinnest part of the waist. Waist is 20 cm smaller than bust.
4, hip circumference: in front of the body, the pubic bone is parallel to the largest part of the hip. The hip circumference is 4 cm larger than the chest circumference.
5, thigh circumference: at the top of the thigh, under the hip crease line. The thigh circumference is smaller than the waist circumference 10 cm.
6, calf circumference: calf fullness. The calf circumference is 20 cm smaller than the thigh circumference.
7. Foot neck circumference: at the thinnest part of the foot neck. The ankle circumference is smaller, and the leg circumference is smaller 10 cm.
8. Upper arm circumference: between shoulder joint and elbow joint. The upper arm circumference is equal to half the thigh circumference.
9. Neck circumference: The thinnest part in the middle of the neck. Neck circumference equals calf circumference.
10, shoulder width: the distance between two acromions. The shoulder width is equal to half the bust minus 4 cm.
The beauty of bones lies in symmetry and moderation. That is, the longitudinal axes of the head and neck, trunk and feet are on the same vertical line when standing; The shoulders are slightly wider, the proportion of head, trunk and limbs and the connection between head, neck and chest are moderate.
The beauty of muscle lies in its elasticity and coordination. Too fat and too thin, or shoulders, hips and chest are too small and too weak, and a certain part of the body is too thin or too developed for some reason, which cannot be called muscular beauty.
The beauty of skin color lies in its delicacy, luster, elasticity, velvet feeling to the touch, and light rose color is the best.
Question 7: How to use the golden section is an ancient mathematical method. Its magical functions and magic power have not been clearly explained in mathematics so far, but in practice it is found that it often plays an unexpected role.
Here is to explain how to get the golden section line, and according to the golden section line to guide the next operation of buying and selling stocks.
The first step in drawing the golden section is to remember some special numbers:
0. 19 1 0.382 0.6 18 0.809
1. 19 1 1.382 1.6 18 1.809
2. 19 1 2.382 2.6 18 2.809
Among these figures, 0.382, 0.6 18, 1.382, 1.6 18 are the most important, and the stock price is likely to generate support and pressure at the golden section generated by these four figures.
Step two, find a point. This point is the highest point at the end of the rising market, or the lowest point at the end of the falling market. Of course, we know that high and low here refer to a certain range and are local. As long as we can confirm that a trend (whether up or down) has ended or temporarily ended, then the turning point of this trend can be used as the golden section point. Once this point is selected, we can draw the golden section line.
When the rising market begins to reverse, we are extremely concerned about where this decline will be supported. The golden section provides the following price points. They are multiplied by several special figures listed above, and then multiplied by the peak price of this rise. Assuming that the peak of this rise is 10 yuan, then
8.09= 10×0.809
6. 18= 10×0.6 18
3.82= 10×0.382
1.9 1= 10×0. 19 1
These prices are very likely to be the support, among which 6. 18 and 3.82 are the most likely.
In the same way, when the falling market starts to turn around, we are concerned about where the rising market will be under pressure. The position provided by the golden section is the reserve price of this decline multiplied by the special figure above. Assuming that the price of Luogu is 10 yuan, then
1 1.9 1= 10× 1. 19 1 2 1.9 1= 10×2. 19 1
13.82= 10× 1.382 23.82= 10×2.382
16. 18= 10× 1.6 18 26. 18= 10×2.6 18
18.09= 10× 1.809 28.09= 10×2.809
20= 10×2
It is likely to become the pressure level in the future. Among them, 13.82 and 16. 18 and 20 yuan are the easiest pressure lines, and those exceeding 20 are rarely used.
In addition, the golden section has another usage. Select the highest point and lowest point (local), take this interval as the whole length, and then make the golden section line on this basis to calculate the rebound height and reverberation height.
Question 8: How to calculate the golden section Suppose a strong stock rose from 10 yuan to 15 yuan in the last round, showing a strong trend, and then there was a pullback. What price will it be adjusted back to? The 0.382 bit of the golden section is 13.09 yuan, the 0.5 bit is 12.50 yuan, and the 0.61.91yuan, which are the three support positions of the stock. If the stock price is supported around 13.09 yuan, the stock will remain strong. The probability that the market outlook breaks through1the historical high in 5 yuan is greater than 70%-(15-10) * 0.382 =13.0915-(15-/kloc-0). 0.618 =11.91doesn't really count. Stock software has the function of golden section.
The first step in drawing the golden section is to remember some special numbers: 0.191.3820.6180.8091.1.3821. 382 2.6 18 2.809 Among these figures, 0.382, 0.6 18, 1.382, 1.6 18 are the most important, and the stock price is likely to generate support at the golden section line generated by these four figures. Step two, find a point. This point is the highest point at the end of the rising market, or the lowest point at the end of the falling market. Of course, we know that high and low here refer to a certain range and are local. As long as we can confirm that a trend (whether up or down) has ended or temporarily ended, then the turning point of this trend can be used as the golden section point. Once this point is selected, we can draw the golden section line. When the rising market begins to reverse, we are extremely concerned about where this decline will be supported. The golden section provides the following price points. They are multiplied by several special figures listed above, and then multiplied by the peak price of this rise. Assuming that the peak of this increase is 10 yuan, then 8.09 =10× 0.809 6.18 =10× 0.618 3.82 =10× 0.388. In the same way, when the falling market starts to turn around, we are concerned about where the rising market will be under pressure. The position provided by the golden section is the reserve price of this decline multiplied by the special figure above. Suppose the reserve price of this decline is 10 yuan. Then11.91=10×1.12191mutual10× 2. × 2.382 16. 18 =10×/8 26.18 =10× 2.618. In addition, the golden section has another usage. Select the highest point and lowest point (local), take this interval as the whole length, and then make the golden section line on this basis to calculate the rebound height and reverberation height. On the watch software, there is a line drawing tool. By selecting "golden back file" or "golden callback" or "vertical golden proportion division", the name of each watch software is different. Then choose a high point and a low point, and you can know the golden ratio relationship between them. 0.6 18 and 0.382 play an especially important role in this relationship. The origin of the golden section: 1. Fibonacci, an Italian mathematician who owns the magic number 13****, discovered this magic number. Namely: 1, 2, 3, 5, 8, 13, 2 1, 34, 55, 89, 144 … The sum of the first two numbers is equal to the last one. For example:1+2 = 3; 2+3=5; ..... 55+89 = 144 ... The magic number is even more magical: 1. Compared with the latter figure, the ratio tends to be 0.6 18034 ... (irrational number). Such as:1÷ 2 = 0.5; 2÷3=0.667; 3÷5=0.6; 5÷8=0.625; 8÷ 13=0.6 15; ..... 89 ÷ 144 = 0.6 18 ...2. Compared with the above figure, the ratio tends to 1.6 18. Such as: 5 ÷ 3 =1.667; 8÷5= 1.6; 2 1÷ 13= 1.6 15; 89÷55= 1.6 1......& gt& gt
Question 9: What is the golden section? How to distinguish? Take a point C on a line segment AB, so that BC:AC equals AC:AB, and the ratio is the root sign of half five minus one. This point c is called the golden section of line segment AB. Generally speaking, a line segment has two golden sections, which can be completed by drawing. Generally speaking, he will ask the ratio of those two line segments to be the golden section, or he will ask that line segment to be the golden section, and then you can solve the practical problem accordingly. The golden section also has applications, such as golden rectangle, golden ratio of human figure, golden section of architecture and so on.
Question 10: What is the golden section? The wonder of the golden section is that its proportion is the same as its reciprocal. For example, the reciprocal of 1.6 18 is work, while 1.6 18: 1 is the same as 1:0.6 18.
The exact value is (√5- 1)/2.
The golden section is approximately equal to 0.6 18: 1.
Refers to the point where a line segment is divided into two parts, so that the ratio of the length of the original line segment to the longer part is the golden section. There are two such points on the line segment.