"Changing Fish" Position and Coordinates PPT Courseware 3

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"Changing Fish" Position and Coordinates PPT Courseware 3

The fish in the picture has the coordinates: (0,0) (5,4) (3,0) (5,1) (5,-1) (3,0) (4,-2) (0,0 ) are formed by connecting the points in sequence with line segments

What will happen if the ordinate remains unchanged and the abscissa of each coordinate is doubled?

Then the original coordinates become: (0,0) (10,4) (6,0) (10,1) (10,-1) (6,0) (8,-2) (0,0)

1. Translation

1. When the ordinate remains unchanged and the abscissa increases (decreases) by a unit respectively, the graph _______ translates by a unit;

2. When the abscissa remains unchanged and the ordinate increases (decreases) by a unit respectively, the graph _______ translates by a unit;

2. Elongation (compression)

3. The vertical coordinate remains unchanged, the horizontal coordinate becomes a times the original value, and the graph _______ is a times the original value (a>1)

4. The abscissa remains unchanged, the ordinate becomes a times the original, and the graph _______ is a times the original (a>1)

5. The abscissa and ordinate become a times the original at the same time, and the graph _______ is a times the original (a>1)...

How will the graph change when the coordinates are changed as follows?

1. (x,y)→(x,y+4) 4. (x,y)→(3x, y)

2. (x,y)→(x,y-2) 5. (x,y)→(x , 1/2y)

3. (x,y) (1/2x , y) 6. (x,y)→(3x , 3y)

Do it

As shown in the picture, the left and right patterns are symmetrical about the y-axis. The coordinates of the left and right eyes in the picture on the right are (2, 3) respectively.

(4,3). The coordinates of the left and right endpoints of the corners of the mouth are (2, 1) and (4, 1) respectively.

(1) Try to determine the coordinates of the left and right eyes and the left and right endpoints of the corners of the mouth in the left pattern.

(2) How did you get it? Communicate with peers.

Discuss

(1) If the right pattern in the above picture is translated by 1 unit length along the positive direction of the x-axis, what will happen to the coordinates of the left and right eyes?

(2) If the right pattern in the drawing is an axially symmetrical figure about the x-axis, what will happen to the coordinates of the left and right eyes?

(3) If the right pattern in the picture is translated by 2 units in the positive direction of the y-axis, what will happen to the coordinates of the left and right eyes?

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Update Time: 2024-09-16

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