The golden section formula in the third grade mathematics refers to dividing 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. Its ratio is an irrational number, expressed as √5 minus 1 divided by 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 dividing point is called the golden ratio, which is usually expressed by φ. This is a very interesting number, which is represented by 0.618. Through simple calculation, we can find that 1 minus 0 point 6 18 divided by 0 point 6 18 is approximately equal to 0 point 6 18, that is, there are two golden sections on a line segment.

Calculation formula of mathematical golden section formula

Because it has aesthetic value in plastic arts, it can arouse people's aesthetic feeling in the design of length and width of arts and crafts and daily necessities, and it is also widely used in real life. The proportion of some line segments in the building adopts the golden section scientifically.

The announcer on the stage is not standing in the center of the stage, but standing on the side of the stage. Standing at the golden section of the stage length is the most beautiful and the sound spreads best.

Even in the plant kingdom, the golden section is used. If you look down from the top of a twig, you will see that the leaves are arranged according to the golden section law. In many scientific experiments, a method of 0: 6 18 is often used to select the scheme, that is, the optimization method, which enables us to arrange fewer experiments reasonably and find reasonable western and suitable technological conditions.