"Graphics in Cartesian Coordinate System" PPT courseware

Description

"Graphics in Cartesian Coordinate System" PPT courseware

Review and Thoughts

1. What is a plane rectangular coordinate system?

2. How are the two coordinate axes called and how are their directions determined?

3. The coordinate axis divides the plane into four parts. What are they called?

4. How many parts does the coordinate of a point in the plane rectangular coordinate system consist of? How to ask for it?

5. What are the characteristics of the coordinates of points in each quadrant? What are the characteristics of the coordinates of points on the coordinate axis?

6. Do the points on the coordinate axis belong to each quadrant?

learning target

1 Able to draw simple geometric figures in a given rectangular coordinate system, and describe the entire figure using the vertex coordinates of simple figures

2 In the rectangular coordinate system, the coordinates of points on the figure can be found based on the characteristics of the geometric figure.

3. In the rectangular coordinate system, be able to find the area of ​​simple geometric figures.

communication and discovery

(1) Draw the following points in the Cartesian coordinate system

A (3,4),B (5,2), C (4,2), D (4,0),

E (2,0), F (2,2), G (1,2)

(2) Connect A, B, C, D, E, F, G, A in sequence. What kind of figure do you get?

Collaborative exploration within the group:

1. Since the abscissa of point A is 3, what is the distance from point A to the y-axis?

What is the distance from point B to the y-axis?

What is the abscissa of point B?

2. Since the ordinate of point A is 1, what is the distance from point A to the x-axis?

What is the distance from point B to the x-axis?

What is the ordinate of point B?

3. From this, what are the coordinates of point B?

4. Can you write the coordinates of point C and point D? Give it a try.

think:

1. What are the characteristics of the ordinates of observation points A and B?

What is the positional relationship between line segment AB and the x-axis?

2. What is the distance between point A and point B?

3. On which coordinate axis is point C?

What is the distance from point C to line segment AB?

4. From this, we can get the line segment AB=?

What is the height of bottom AB?

5. What is the area of ​​△ABC?

6. Can you tell me how to solve the problem of finding the area of ​​a triangle in the rectangular coordinate system?

summary

1 The use of the rectangular coordinate system can organically combine numbers and graphics, which is conducive to studying geometric problems using algebraic methods, and is also conducive to intuitively exploring the regularity of quantitative relationships with the help of graphics.

2 When calculating the area of ​​a triangle in a plane rectangular coordinate system, the side parallel to the coordinate axis is often considered as the base. When there is no side parallel to the coordinate axis in the triangle, the cut and complement method is often considered, that is, dividing the area into several figures that can be found or complementing the figure into the area difference of several figures that can be found.

Keywords: Teaching courseware of graphics in the rectangular coordinate system, Qingdao edition seventh grade mathematics volume 2 PPT courseware download, seventh grade mathematics slide courseware download, graphics in the rectangular coordinate system PPT courseware download, .PPT format;

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Update Time: 2024-11-22

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

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