"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 2

Description

"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 2

Draw a rectangular coordinate system, find the following points in the drawn coordinate system, and connect the points with line segments. Observe what special positional relationship does point A have with other points?

A(-1,2),B(1,2)

C(-1,-2), D(1,-2)

Do you want to explore mysterious treasures?

In a "treasure hunt" game, the treasure hunter has found two landmark points with coordinates (3, 2) and (3, -2), and knows that the coordinates of the treasure location are (4, 4). Know other information. How to determine the Cartesian coordinate system to find the "treasure"? Communicate with peers.

Do it

Example 1 As shown in the figure, the length and width of rectangle ABCD are 6 and 4 respectively. Establish an appropriate coordinate system and write the coordinates of each vertex.

Solution: As shown in the figure, a rectangular coordinate system is established with point C as the origin of the coordinates, and the straight lines where CD and CB are located as the x-axis and y-axis. At this time, the coordinates of point C are (0, 0).

Since the length of CD is 6 and the length of CB is 4, the coordinates of D, B, and A can be obtained as D(6, 0), B(0, 4), and A(6, 4) respectively.

Discuss

1. In the above example, how else can you establish a rectangular coordinate system?

2. How do you think a suitable rectangular coordinate system should be established?

There is no hard and fast model, but choosing an appropriate coordinate system can make calculations less difficult!

In a "treasure hunt" game, the treasure hunter has found two landmark points with coordinates (3, 2) and (3, -2), and knows that the coordinates of the treasure location are (4, 4). Knowing other information, how to determine the "treasure" you are looking for in the Cartesian coordinate system? Can you find it? Communicate with your peers.

Tips: Connect the two landmark points, draw the mid-perpendicular line of the resulting line segment, and use this line as the horizontal axis.

summary:

1. There is a one-to-one correspondence between points in the coordinate plane and ordered pairs of real numbers.

2. Given a point in the coordinate plane, the quadrant or coordinate axis where it is located can be used to describe the position of the point in the plane.

3. Remember the symbols of the coordinates of points in each quadrant, and find the symmetry point of a known point about the coordinate axis or origin based on the knowledge of symmetry.

Keywords: position and coordinates courseware, plane rectangular coordinate system courseware, Beijing Normal University edition eighth grade mathematics volume PPT courseware, eighth grade mathematics slide courseware download, position and coordinates PPT courseware download, plane rectangular coordinate system PPT courseware download, .ppt Format

For more information about the "Plane Cartesian Coordinate System Position and Coordinates" PPT courseware, please click on the Plane Cartesian Coordinate System ppt Position and Coordinates ppt tab.

"Plane Cartesian Coordinate System" PPT courseware download:

"Plane Cartesian Coordinate System" PPT courseware download Part One: Introduction of new lesson The picture below is a schematic diagram of a tourist attraction in a certain city. 1. How did you determine the location of each attraction? 2. How many squares are there in the west and south of the central square for Dacheng Hall? Forest of Steles in the Central Square...

"Plane Cartesian Coordinate System" PPT download:

"Plane Cartesian Coordinate System" PPT download part one content: Learning objectives: 1. Understand and be able to draw a plane Cartesian coordinate system, be able to establish a plane Cartesian coordinate system according to the needs of the graphics to be represented, and use coordinates to represent points on the graphics. 2 .at right angles to a given plane..

"Plane Cartesian Coordinate System" PPT:

"Plane Cartesian Coordinate System" PPT Part 1: How to determine the position of a point on a straight line? A point on the number axis can be represented by a number, which is called the coordinate of the point on the number axis. For example, the coordinate of point A on the number axis is -3, and the coordinate of point B on the number axis is...

File Info

Update Time: 2024-11-21

This template belongs to Mathematics courseware Beijing Normal University eighth grade first volume mathematics industry PPT template

Preview