A clever poem about the law of five hearts in triangle

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

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

Chongxin

The three midlines must intersect, and the location of the intersection 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.

External heart

A triangle has six elements, three inner corners and three sides. Let three sides be perpendicular to each other and three lines intersect at one point.

This point is defined as the epicentre and can be used as the circumscribed circle.

worry (about/over)

If a triangle is three high points, the three high points must intersect at the vertical center. The high line is divided into triangles with three pairs of right angles.

There are twelve right triangles, forming six pairs of similar shapes, which can be found in the four-point * * * diagram. Careful analysis can clearly find them.

heart

A triangle corresponds to three vertices, each corner has a bisector, and the three lines intersect at a certain point, which is called "inner heart" and has roots;

The points to the three sides are equidistant and can be inscribed into a triangle. This center of the circle is called "inner heart", so it is natural to define it.

Don't forget the essence of five minds, it's really good to start doing problems.