Manual production steps of 1. translation:
1, preparation materials: choose a thread, a bottle or a button.
2. Place items: Place bottles or buttons on a flat surface.
3. Translation: Push the bottle or button forward with your hand and it will translate.
Second, the rotating manual production steps:
1. Preparation materials: Select a thread and a small weight (such as bottle cap).
2. One end of the fixed line: Tie one end of the line to a fixed point, such as a table corner or a door handle.
3. Tie a heavy object: Tie a small heavy object at the other end of the line.
4. Rotation: swing the weight outward, and then suddenly release it, and the line will make a circular motion around the fixed point to form a rotation effect.
Characteristics of translation and rotation:
Translation does not change the shape and size of the graph. After translation, the corresponding line segments are equal, the corresponding angles are equal, and the line segments connected by the corresponding points are equal. It is equidistant isomorphism and an affine transformation in affine space. It can be seen as the result of adding the same vector to each point or moving the center of the coordinate system.
The rotation of a graph means that every point on the graph moves around a fixed point on the plane at a fixed angle, and the distance from the corresponding point to the rotation center is equal. The included angle between the corresponding point and the straight line connecting the rotation center is equal to the rotation angle. The figure before and after rotation is congruent, that is, the size and shape of the figure before and after rotation have not changed. The center of rotation is the only fixed point,