"Changes in Coordinates and Graphics" PPT

Description

"Changes in Coordinates and Graphics" PPT

Part One Content: Learning Objectives:

1. The manager explores the relationship between point translation and point coordinate changes, and masters the coordinate change rules after point translation transformation.

2. By exploring the relationship between coordinate changes of points on graphs and graph transformations, we can further understand the mathematical idea of ​​combining numbers and shapes.

Key points:

Feel the changing rules of coordinates of points after graphics transformation

difficulty:

The relationship between graphics transformation and coordinate transformation

Changes in coordinates and graphics PPT, part 2: problem exploration

Question 1 In Figure 1, after △AOB is translated 3 units to the right along the x-axis, △A’O’B’ is obtained. What are the changes in the coordinates of the three vertices?

When the graph is translated three units to the right, the abscissa of each point is increased by 3, and the ordinate remains unchanged.

As shown in the figure, it is known that the coordinates of vertex A of △ABC are (3,5). If △ABC is translated 4 units along the X axis, the coordinates of vertex A will correspondingly become ( )

A(-1,5)B(1,5)

C(7,5)D(7,5)or(1,5)

Changes in coordinates and graphics PPT, the third part: knowledge induction

Summary (1):

Graphical translation: (a>0)

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

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

(x.y) translates upward a unit (x,y+a)

(x.y) translates downward a unit (x,y-a)

Changes in coordinates and graphics PPT, Part 4: Translation

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

Translate a units;

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

Translate a unit;

(x,y) (x +a,y+b)

Translate |a| units along the x-axis:

If a>0, translate to the right; if a<0, translate to the left

Translate |b| units along the y-axis:

If b>0, translate upward; if b<0, translate downward

Changes in coordinates and graphics PPT, part 5: Guess:

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

1. (x,y)→(x,y+4)

2. (x,y)→(x,y-2)

3. (x,y)→(x,-y)

4. (x,y)→(3x, y)

5. (x,y)→(x , 1/2y)

6. (x,y)→(3x, 3y)

Keywords: Free download of Hebei Education Edition mathematics PPT courseware for eighth grade volume 2, PPT download of changes in coordinates and graphics, .PPT format;

For more information about the "Changes in Coordinates and Graphics" PPT courseware, please click on the "Changes in Coordinates and Graphics" ppt tab.

"Changes of Coordinates and Graphics" PPT download:

"Changes in Coordinates and Graphics" PPT Download Part One Content: Give it a try (1) Ask students to establish a coordinate system on graph paper, trace point A (-2,-3), and translate point A 5 times to the right Unit length, get point B, mark this point on the graph, and write its coordinates; (2)..

"Changes of Coordinates and Graphics" PPT courseware:

Contents of the first part of the PPT courseware "Changes of Coordinates and Figures": Learning objectives: 1. In the same rectangular coordinate system, feel the process of symmetry, expansion and contraction of graphics caused by changes in coordinates, and be able to derive the symmetry, expansion and reduction of graphics law. 2. By exploring graphics..

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Update Time: 2024-09-06

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

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