"Using Coordinates to Express Geographical Locations" Plane Cartesian Coordinate System PPT Courseware 3

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"Using Coordinates to Express Geographical Locations" Plane Cartesian Coordinate System PPT Courseware 3

Review and Thoughts

1. What are the characteristics of the coordinates of points on the coordinate axis?

The ordinate of the point on the horizontal axis is 0, expressed as (x, 0)

The abscissa coordinate of the point on the vertical axis is 0. It is expressed as (0, y)

The coordinates of the origin are (0,0)

2. What are the characteristics of the coordinates of the points on the angle bisector?

1. The horizontal and vertical coordinates of the points on the bisector of the angle between the three quadrants are equal;

The horizontal and vertical coordinates of the points on the bisector of the angle between the second and fourth quadrants are opposite numbers to each other.

3. What are the characteristics of the coordinates of points on a straight line parallel to the coordinate axis?

Points on a straight line parallel to the y-axis have the same abscissa, and points on a straight line parallel to the x-axis have the same ordinate.

4. How to find the distance from any point on the plane to the coordinate axis?

The distance from P(a,b) to the x-axis is _____ and the distance to the y-axis is _____

Example 3: Given point A (3, 0), point B (0, -4), O is the coordinate origin, connect AB, and find the area of ​​triangle AOB.

Change it:

Point A (3, 0) is known, point B is a point on the y-axis, O is the coordinate origin, and the area of ​​triangle AOB is known to be 6. Find the coordinates of point B.

Do it

Point A and point D are symmetrical about the X-axis

The abscissas are the same and the ordinates are opposite numbers to each other.

Point A and point B are symmetrical about the Y axis

The ordinates are the same and the abscissas are opposite numbers to each other.

Point A and point C are symmetrical about the origin

The abscissa and ordinate are opposite numbers to each other.

practice

If we set point M(a,b),

The symmetry point M1 of point M about the X axis ( )

The symmetry point M2 of point M about the Y axis ( )

The symmetry point M3 of point M about the origin O ( )

Consolidation exercises

1. Point A is on the x-axis, 4 units in length from the origin, then the coordinates of point A are _______.

2. The distance from point M (-8, 12) to the x-axis is _____, and the distance to the y-axis is ____.

3. If point P is in the third quadrant and the distance to the x-axis is 2 and the distance to the y-axis is 1.5, then the coordinates of point P are ________.

4. Points A (1-a, 5) and B (3, b) are symmetrical about the y-axis, then a=___, b=____.

Draw a schematic diagram based on the following conditions, marking the locations of the school, Xiaogang’s home, Xiaoqiang’s home, and Xiaomin’s home:

(1) From Xiaogang’s home, walk 150 meters east from the school gate and then 200 meters north.

(2) Xiaoqiang’s home leaves the school gate and walks 200 meters west, then 350 meters north, and then 50 meters east.

(3) Xiao Min’s home walks 100 meters south from the school gate, then 300 meters east, and finally 75 meters south.

The process of using the plane rectangular coordinate system to draw a plan map of the distribution of some locations in the area is as follows:

(1) Establish a coordinate system: Select an appropriate reference point as the origin and determine the positive directions of the x-axis and y-axis;

(2) Determine the appropriate unit length based on the specific problem;

(3) Draw points and write coordinates: Draw these points in the coordinate plane, write the coordinates of each point and the name of each place.

Knowledge sorting

The process of using the plane rectangular coordinate system to draw a plan map of the distribution of some locations in the area is:

(1) Establish a coordinate system, select an appropriate ______ as the origin, and determine the ___________ of the x-axis and y-axis;

(2) Determine the appropriate ___________ and mark the unit length on the coordinate axis;

(3) Draw these points on the coordinate plane and write the _______ of each point and the _______ of each location.

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"Using Coordinates to Represent Geographical Locations" Plane Cartesian Coordinate System PPT Courseware 2:

"Using Coordinates to Express Geographical Locations" Plane Cartesian Coordinate System PPT Courseware 2 Do you know: What are the general processes of using a plane Cartesian coordinate system to express geographical location? 1. Establish an appropriate coordinate system; 2. Determine an appropriate scale and mark the unit length; 3...

"Using Coordinates to Represent Geographical Locations" Plane Cartesian Coordinate System PPT Courseware:

"Using Coordinates to Represent Geographical Locations" Plane Cartesian Coordinate System PPT Courseware 1. Learning Objectives: 1. Understand the significance and main process of using the plane Cartesian Coordinate System to represent geographical location; improve the ability to solve practical problems; 2. Through learning, be able to use Plane coordinate system comes...

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Update Time: 2024-11-24

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

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