"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 4

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"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 4

Review old knowledge

1. Coordinate characteristics of "points on a straight line parallel to two axes":

(1) Points on the straight line parallel to the x-axis: the ordinates are the same;

(2) Points on the straight line parallel to the y-axis: the abscissas are the same.

2. Coordinate characteristics of "four quadrants, origin and points on two axes":

3. Coordinate characteristics of “a point symmetrical about the coordinate axis”:

(1) The coordinates of the point that is symmetrical about the x-axis: the same as the transverse direction and the opposite direction as the vertical direction;

(2) The coordinates of a point that is symmetrical about the y-axis: the same as the horizontal and vertical directions.

4. Coordinate characteristics of "point symmetrical about the origin":

The coordinates of a point that is symmetrical about the center of the origin: reverse both horizontally and vertically.

Principles for establishing a plane rectangular coordinate system:

(1) Take the straight line where the special line segment is located as the coordinate axis;

(2) The points on the graph are on the coordinate axis as much as possible;

(3) The obtained coordinates are simple and easy to calculate.

The coordinate meaning of point P(a, b):

(1) The distance from point P(a, b) to the x-axis is |b|;

(2) The distance from point P(a, b) to the y-axis is |a|.

Class summary

1. Principles for establishing a plane rectangular coordinate system:

(1) Take the straight line where the special line segment is located as the coordinate axis;

(2) The points on the graph are on the coordinate axis as much as possible;

(3) The obtained coordinates are simple and easy to calculate.

2. The coordinate meaning of point P(a, b):

(1) The distance from point P(a, b) to the x-axis is |b|;

(2) The distance from point P(a, b) to the y-axis is |a|.

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Update Time: 2024-10-01

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