Similar figure is a special kind of similar figure, which means that two figures are not only similar, but also the connecting lines of corresponding points intersect at one point, and the corresponding edges are parallel lines or * * * lines, and the ratio of their distances to the similar center is equal to the similarity ratio. The relevant knowledge is as follows:

1. If two graphs are similar, they must be similar, but similar graphs are not necessarily similar 1. There are many similar properties between similar figures, such as equal corresponding angles and proportional corresponding edges.

2. In a quasi-graph, the quasi-center is the intersection of the connecting line of the corresponding point and the connecting line of the midpoint of the corresponding edge, so that the corresponding edges are parallel to each other or straight lines, and the ratio of their distances to the quasi-center is equal to the similarity ratio.

3. Similar graphics are widely used, such as in geometry, physics, engineering and other fields. In geometry, similar figures can be used to prove some theorems and properties; In physics, similar graphs can be used to describe some physical phenomena and laws; In engineering, similar graphics can be used to design some mechanical parts and building structures.

4. Similarity graph is a special kind of similarity graph, which has some unique properties and laws and is widely used in various fields.

The historical origins of similar figures are as follows:

1, the historical origin of similar graphics can be traced back to the ancient Greek mathematician Euclid's book Geometry Elements. Euclid defined similar figures and similar figures in his book, and gave their properties and proofs.

2. In ancient times, figurative graphics were widely used in architecture, engineering, art and other fields. For example, in architecture, similar graphics can be used to design symmetrical building structures and decorative patterns; In engineering, similar graphics can be used to describe the shape and size of mechanical parts; In art, similar graphics can be used to draw beautiful patterns and decorations.

3. With the development of mathematics, the study of potential diagram is gradually deepening. Since19th century, many mathematicians have made in-depth research on quasi-graphs and found many new properties and laws. German mathematician Gauss discovered the focus property and linear transformation property of the potential diagram. Swiss mathematician Hermann Hermann studied the * * * linearity and * * * shape of similar figures.

4. Similarity graph is still an important concept in mathematics, which is widely used in various fields. For example, in computer graphics, similar graphics can be used for image scaling, rotation, translation and other operations; In computer vision, similar graphics can be used for feature extraction and matching.