What does "golden section" mean?

What does "golden section" mean?


Is a junior high school "proportion line" in a knowledge point. In fact, is a method of segmentation line
The specific definition is as follows:
If the line segment AB is divided into two segments AC and BC (AC > BC), and ab: AC = AC: BC, it is called the golden section of line segment AB, and point C is called the golden section of line segment ab



Given that C is a point on the line AB, BC = root 5-1 divided by 2 times ab. if AB = a, find the length of AC


AC = ab-bc = a - (root 5-1 divided by 2) × a = (3 minus root 5 divided by 2) × a



What is the golden section?


A line segment is divided into two parts, so that the ratio of one part to the whole length is equal to the ratio of the other part to this part. The ratio is an irrational number, and the approximate value of the first three digits is 0.618. Because the shape designed according to this ratio is very beautiful, it is called golden section, also known as the ratio of middle and outer parts, Through simple calculation, it can be found that:
1/0.618=1.618
(1-0.618)/0.618=0.618
The function of this value is not only reflected in the art fields such as painting, sculpture, music and architecture, but also in the management and engineering design
See