What are the five hearts of a triangle? Describe it briefly. Thank you.

Triangle Five-Heart Song (Heavy Hanging Outside and Inside)

There are five hearts in a triangle, and five hearts are very important.

The three center lines of the center of gravity must intersect, and the location of the intersection point is really strange. The intersection is named "center of gravity", and the nature of the center of gravity should be clear. The proportion of line segments and line segments in the division of center of gravity can be seen. The ratio of length to length is two to one, so we should use it flexibly and master it well.

An epicentre triangle has six elements, and three inner corners have three sides. As the middle vertical line of three sides, three lines intersect at one point. This point is defined as the epicenter and can be used as the circumscribed circle. Internal and external heart can't be confused, the key is internal connection and external cutting.

The three heights on the vertical triangle must intersect the vertical center. The high line is divided into triangles with three pairs of right angles, and the right triangle has twelve pairs, forming six pairs of similar shapes, as shown in the four-point chart. Careful analysis will reveal.

The inner triangle corresponds to three vertices, each corner has a bisector, and the intersection of the three lines sets a common point, which is called "inner heart" and has roots; The points to the three sides are equidistant, which can be used as a triangle inscribed circle. The center of this circle is called "inner heart", so it is natural to define it. Don't forget the essence of five minds, so it's really good to start doing the problem.