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Authoritative PPT Summary
"Rotation of Graphics" PPT courseware on translation, rotation and symmetry of graphics
Thought questions
(1) What common characteristics do the rotation phenomena in the above scenarios have in common?
(2) Do their shapes, sizes, and positions change during their rotation?
In a plane, a figure is rotated by an angle around a fixed point in a certain direction. This movement of the figure is called rotation. The fixed point becomes the center of rotation, and the angle of rotation is called the rotation angle. Rotation does not change the size and shape of the figure.
Let's take a spin together
(1) Graphic 1 is rotated 90° clockwise around point O to the position of graphic ( );
(2) Figure 2 rotates 90° clockwise around point O to the position of figure ( );
(3) Figure 3 rotates clockwise ( ) around point O to the position of figure 4.
Basic properties of rotation
(1) Rotation does not change the size and shape of the figure.
(2) The angle formed by the line connecting any pair of corresponding points and the center of rotation is the rotation angle.
(3) The distance between the corresponding point and the center of rotation is equal.
(4) Every point on the graph rotates by the same angle in the same direction around the center of rotation.
Additional exercises:
1. In a plane, a figure is rotated around a ____ and in a certain direction by a ____. This kind of figure movement is called rotation. Rotation does not change the ____ and ____ of the figure.
2. It takes 12 hours for the hour hand of the clock to rotate once.
(1) What is its center of rotation?
(2) After 3 hours, how many degrees has the hour hand rotated?
(3) How many hours will pass before the hour hand rotates 150 degrees?
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