Center of gravity: the line connecting the vertex of the triangle with the midpoint of the opposite side intersects at a point, which is called the center of gravity of the triangle;

Vertical center: the height of each side of the triangle intersects at a point, which is called the vertical center of the triangle;

Exterior center: the perpendicular lines of each side of a triangle intersect at a point, which is called the exterior center of the triangle;

Inner heart: the bisectors of the three inner angles of a triangle intersect at one point, which is called the inner heart of a triangle;

Center: The center of a regular triangle is called the center of a regular triangle, where the center of gravity, the center of gravity, the outer center and the inner center coincide.

Triangle "five-heart song"

A triangle has five hearts; Heavy-duty, vertical, internal, external and lateral centers,

The essence of five minds is very important, and it is very important to master it carefully.

Chongxin

The three midlines must intersect, and the intersection position is really strange.

The intersection is named "center of gravity", and the nature of the center of gravity should be clear.

In the center of gravity segmentation, you can hear the ratio of line segment to several segments;

The ratio of length to length is two to one, so we should use it flexibly and master it well.

worry (about/over)

If a triangle is three high points, then the three high points must cross.

The high line is divided into triangles with three pairs of right angles.

There are twelve right triangles, forming six pairs of similar shapes.

There are four points in the picture, which can be found clearly after careful analysis.

heart

A triangle corresponds to three vertices, and each corner has a bisector.

The intersection of three lines has a * * * point, which is called "inner heart" and has roots;

The points to the three sides are equidistant and can be used as the inscribed circle of a triangle.

This round heart is called "inner heart", so it is natural to define it.

External heart

A triangle has six elements, three inner corners and three sides.

Make the middle of the three sides vertical and the three lines intersect at one point.

This point is defined as the "outer center" and can be used as the circumscribed circle.

"Inner heart" and "outer heart" should not be confused, but "internal cutting" and "external connection" are the key.