"Rotation of Graphics" PPT Courseware 2

Description

"Rotation of Graphics" PPT Courseware 2

rotation definition

In a plane, a figure is rotated by a certain angle around a fixed point in a certain direction (counterclockwise or clockwise). This transformation is called the rotation of the figure. This fixed point is called the center of rotation, and this angle is called the rotation angle. After the rotation of the figure, The position is determined by the center of rotation, direction of rotation and angle of rotation.

properties of rotation

A figure and the figure obtained by rotating it

The distance between the corresponding point and the center of rotation is equal;

The angles formed by the two sets of corresponding points with the line connecting the rotation centers are equal to each other.

As shown in the figure, △AOB is obtained by rotating 450 degrees counterclockwise around point O.

The corresponding point of point B is point _____

The corresponding line segment of line segment OB is line segment ______

The corresponding segment of line segment AB is line segment ______

The corresponding angle of ∠A is ______

The corresponding angle of ∠B is ______

The center of rotation is point______

The angle of rotation is ______

practise

1. As shown in the figure: P is a point within the equilateral △ABC. Rotate △ABP in different directions to obtain △BQC and △ACR.

(1) Indicate the center of rotation, direction of rotation and angle of rotation?

(2) Can △ACR be obtained directly by rotating △BQC?

Simple rotation drawing

1. As shown in the figure, after △ABC is rotated around point C, the corresponding point of vertex A is point D. Try to determine the position of the corresponding point of vertex B and the rotated triangle.

Then △DEC is the desired operation.

2. As shown in the figure: Draw the corresponding triangle of △ABC rotated 120° clockwise around point C.

Link to high school entrance examination

1. (2013•Hengyang) As shown in the figure, in the right angle △OAB, ∠AOB=30°, rotate △OAB 100° counterclockwise around point O to get △OA1B1, ∠A1OB=____.

2. (2013 Nanchang) As shown in the figure, rotate △ABC counterclockwise around point A by a certain angle to get △ADE. If ∠CAE=65°, ∠E=70°, and AD⊥BC, the degree of ∠BAC is ()

3. (2013•Tieling) As shown in the figure, in △ABC, AB=2, BC=3.6, ∠B=60°, rotate △ABC clockwise around point A at a certain angle to get △ADE, when the corresponding point B When point D happens to fall on the edge of BC, the length of CD is ____.

4. (2013·Jilin Province) As shown in the figure, rotate Rt�ABC 40° counterclockwise around point A to get Rt�AB′C′. Point C′ falls exactly on side AB and connects BB′, then ∠BB′ C′=_____ degree.

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Update Time: 2024-11-21

This template belongs to Mathematics courseware Qingdao Edition Eighth Grade Mathematics Volume 2 industry PPT template

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