"Rotation of Graphics" PPT Courseware 3

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"Rotation of Graphics" PPT Courseware 3

Knowledge link

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.

Warm up

As shown in the figure, rotate △OAB counterclockwise around point O to △OA′B′, so that point B falls exactly on side A′B′. It is known that AB=4 cm,

BB′=1 cm, then the length of A′B is _____cm.

A′B=A′B′-BB′=AB-BB′=4-1=3(cm).

(2013•Jinjiang) As shown in the figure, E and F are points on the sides AB and BC of the square ABCD respectively. BE=CF connects DF and CE. Rotate _____ counterclockwise around the center O of the square to the position of △CDF, then the rotation angle is ( ).

As shown in the figure: E in square ABCD is the midpoint of BC. After rotating △ABE, we get △CBF. Then the center of rotation is _______;

Rotation angle =____; the positional relationship between AE and CF is_______;

If the area of ​​the square is 18cm2 and the area of ​​△BCF is 4cm2, then the area of ​​the quadrilateral AECD is _______

A. 450B． 600C. 900 D. 1200

Small scale chopper

1. As shown in the figure, in the square ABCD, E is a point on the side of DC, connected to BE. Rotate △BCE clockwise 900 around point C to get △DCF, connected to EF. If ∠BEC=600, then the degree of ∠EFD for( )

A. 100 b. 150C. 200 D. 250

2. (2013. Liaocheng, Shandong) As shown in the figure, in the equilateral △ABC, AB=6, D is the midpoint of BC. After rotating △ABD around point A, we get △ACE, then the length of line segment DE is ____.

3. As shown in the figure, D is a point inside the isosceles right triangle ABC, and BC is the hypotenuse. If �ABD is rotated counterclockwise around point A to the position of �ABD`, then ∠ADD`=( )

A. 45° B . 48° C .30° D. 60°

Show off your skills

(2013•Bijie) Quadrilateral ABCD is a square, E and F are points on the extension lines of DC and CB respectively, and DE=BF, connecting AE, AF and EF.

(1) Verify: △ADE≌△ABF;

(2) Fill in the blanks: △ABF can be obtained by rotating △ADE around the rotation center point in a clockwise direction;

(3) If BC=8, DE=6, find the area of ​​△AEF.

Keywords: rotation teaching courseware of graphics, Qingdao edition eighth grade mathematics volume 2 mathematics PPT courseware download, eighth grade mathematics slide courseware download, rotation of graphics PPT courseware download, .PPT format;

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Update Time: 2024-10-18

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

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