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"Plane Cartesian Coordinate System" PPT Courseware 2
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 6. Conversely, knowing the coordinates of a point on the number axis, the position of this point on the number axis is also determined.
do you know?
As early as 1637, Descartes, the French mathematician and founder of analytic geometry, was inspired by longitude and latitude. Geographical longitude and latitude are based on the equator and the prime meridian. These two lines can be viewed as planes locally. Two straight lines perpendicular to each other. Therefore, Descartes’ method is to draw two mutually perpendicular number axes in the plane. The horizontal number axis is called the x-axis (or horizontal axis), and the direction oriented to the right is the positive direction. The vertical number axis is called the y-axis (or vertical axis), oriented upward. is the positive direction, and their intersection is the origin. This plane is called the coordinate plane.
think about it
What are the characteristics of the positions of point A and point B?
What is the relationship between the coordinates of point A and point B?
What are the characteristics of the positions of point A and point C?
What is the relationship between the coordinates of point A and point C?
What are the characteristics of the positions of point B and point C?
What is the relationship between the coordinates of point B and point C?
The abscissas of points that are symmetrical about the x-axis are the same, and the ordinates are opposite numbers to each other.
The ordinates of points that are symmetric about the y-axis are the same, and the abscissas are opposite numbers to each other.
The abscissa and ordinate of a point that is symmetrical about the origin are opposite numbers to each other.
Summary: This lesson mainly learns the relevant concepts of the plane rectangular coordinate system and one of the most basic issues. There is a one-to-one correspondence between points in the coordinate plane and ordered number pairs, and it permeates the idea of combining numbers and shapes.
Master the characteristics of the coordinates of points on the x-axis and y-axis:
The ordinate of the point on the x-axis is 0, expressed as (x, 0)
The abscissa of the point on the y-axis is 0, expressed as (0, y)
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"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...