"Using Coordinates to Express Translation" Plane Cartesian Coordinate System PPT Courseware 2

Description

"Using Coordinates to Express Translation" Plane Cartesian Coordinate System PPT Courseware 2

Review 1: Translation of Points

(1) Panning left and right:

Point (x,y), translate a unit to the right (x+a,y)

Point (x, y), translate a unit to the left (x-a, y)

(2) Pan up and down:

Point (x,y), translate upward b units (x,y+b)

Point (x, y), translate downward b units (x, y-b)

Pre-class quiz

1. Translate point A (3, 2) upward by 2 unit lengths to obtain A’, then the coordinates of A’ are ____.

2. Translate point A (3, 2) downward by 3 unit lengths to obtain A’, then the coordinates of A’ are ____.

3. Translate point A (3, 2) 4 units to the left to obtain A’, then the coordinates of A’ are ____.

4. Point A’(6,3) is obtained by moving unit length from point A(-2,3) to __.

Point B(4,3) is translated by unit length to get B’(6,3)

5. Point A(8,9) is translated to __ by __ unit length. Then translated to __ by __ unit length to get B(6,3)

Exercise 5 of textbook P60 (by comparing the old and new graphics, ask how they were moved and how the coordinates changed)

Solution: (1) Translate the blue triangle 3 units to the left and then 6 units downward to get the red triangle.

(2) The abscissa coordinates of the three vertices of the original triangle are all minus 3

Subtract 6 from both vertical coordinates to get the coordinates of each corresponding point after translation.

It is emphasized that coordinates are numbers and can only be increased or decreased; it cannot be said that the coordinates have moved...

Try exercise 4

1. Triangle COB is a figure obtained by a certain transformation from triangle AOB. Observe the relationship between the coordinates of point A and point C. If the coordinates of any point M in triangle AOB are (x, y), what are the coordinates of its corresponding point N?

2. As shown in the figure, first draw the triangle A′B′C′ that is symmetrical about the triangle ABC about the x-axis, and then draw the triangle A�B�C� that is symmetrical about the triangle A′B′C′ about the y-axis. Write the coordinates of points A and A�, B and B�, C and C� respectively, and observe the relationship between them. Can you find the relationship between triangle ABC and triangle A�B�C�? If the coordinates of any point M in triangle ABC are (x, y), what are the coordinates of its corresponding point N in triangle A�B�C�?

Tell me about your gains

1. See the translation phenomenon that exists in life;

2. Know the nature of translation;

3. Learned how to draw a shape obtained by translating a shape.

Keywords: plane rectangular coordinate system teaching courseware, use coordinates to represent translation teaching courseware, New People's Education Edition seventh grade mathematics volume 2 PPT courseware, seventh grade mathematics slide courseware download, plane rectangular coordinate system PPT courseware download, use coordinates to represent translation PPT Courseware download, .ppt format

For more information about the PPT courseware "Plane Cartesian Coordinate System Uses Coordinates to Express Translation", please click the Plane Cartesian Coordinate System PPT Uses Coordinates to Express Translation ppt tag.

"Using Coordinates to Express Translation" Plane Cartesian Coordinate System PPT Courseware:

"Using Coordinates to Express Translation" Plane Cartesian Coordinate System PPT Courseware (1) The symmetry point of point (a b) about the X-axis is (a - b) (2) The symmetry point of point (a b) about the Y-axis is (- a b) ( 3) The symmetry point of point (a b) about the origin is (-a -b). The following is about A..

File Info

Update Time: 2024-10-15

This template belongs to Mathematics courseware People's Education Press Seventh Grade Mathematics Volume 2 industry PPT template

Preview