"Plane Cartesian Coordinate System" Position and Coordinates PPT (Lesson 2)

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"Plane Cartesian Coordinate System" Position and Coordinates PPT (Lesson 2)

Part One Content: New Knowledge Exploration

1. Definition of plane rectangular coordinate system:

In a plane, two number axes that are perpendicular to each other and have a common origin form a plane rectangular coordinate system.

2. Characteristics of the coordinates of points on the x-axis and y-axis:

Solution: The characteristics of the coordinates of the point on the x-axis: the y value is 0; the characteristics of the coordinates of the point on the y-axis: the x value is 0.

3. Coordinate characteristics of points parallel to the x-axis or parallel to the y-axis.

(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.

Draw the following points in the Cartesian coordinate system, and connect these points in each group with line segments.

(1)D(-3,5), E(-7,3), C(1,3), D(-3,5);

(2)F(-6,3), G(-6,0), A(0,0), B(0,3).

Observe the drawn shape. What does it look like? Answer the following questions based on the graph.

(1) Which points in the graph are on the coordinate axis, and what are the characteristics of their coordinates?

Solution: The connected figure looks like a "house". The points on the line segment AG are all on the x-axis, and their ordinates are equal to 0; the points on the line segment AB, the intersections of the line segment CD and the y-axis are all on the y-axis, and they The abscissas of are all equal to 0.

(2) What is the positional relationship between line segment EC and the x-axis? What are the characteristics of the coordinates of point E and point C? What about the coordinates of other points on line segment EC?

Solution: Line segment EC is parallel to the x-axis, and the ordinates of points E and C are the same. The ordinates of other points on line segment EC are also the same, both are 3.

(3) What do the abscissas of point F and point G have in common? What is the positional relationship between line segment FG and the y-axis?

Solution: The abscissas of point F and point G are the same, and the line segment FG is parallel to the y-axis.

Plane Cartesian Coordinate System PPT, Part 2: Consolidation Exercises

1. If point P(m+1, m+3) is on the y-axis, then m=_______.

2. It is known that point P(a,b) is in the fourth quadrant, then Q(b,a) is in ____________.

3. Point P is in the second quadrant, the distance from P to the x-axis is 4, and the distance to the y-axis is 3, then the coordinates of point P are ()

A. (-4, 3) B. (-3, -4)

C.(-3,4) D.(3,-4)

Plane Cartesian Coordinate System PPT, Part 3: Class Summary

1. The characteristic of the coordinates of a point located on the x-axis is that the ordinate is 0; the characteristic of the coordinates of a point located on the y-axis is that the abscissa is 0.

2. The characteristics of the coordinates of points on the straight line parallel to the x-axis are that the ordinates are equal and the abscissas are not equal; the characteristics of the coordinates of points on the straight line parallel to the y-axis are that the abscissas are equal but the ordinates are different.

Plane Cartesian Coordinate System PPT, Part 4: Classroom Quiz

1. It is known that point P(a,b) is in the third quadrant, and |a|=3, |b|=4, then the coordinates of point P are ( )

A.(-4,-3) B.(-3,-4)

C.(-3,4) D.(3,-4)

2. As shown in the figure, in the plane rectangular coordinate system, P(-1,1), PQ∥y axis, the length of line segment PQ is 3, find the coordinates of point Q.

Solution: From the PQ∥y axis, we can know that point Q is directly above or directly below point P.

When point Q is directly above point P, Q(-1,4); when point Q is directly below point P, Q(-1,-2).

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

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"Plane Cartesian Coordinate System" Position and Coordinates PPT (Lesson 3):

"Plane Cartesian Coordinate System" Position and Coordinate PPT (Lesson 3) Part One: Introduction of New Lesson (1) How to establish a plane Cartesian coordinate system? Answer: (1) Establish the origin O; (2) The right direction through the point O is the positive direction, and establish a number axis at the horizontal position called the x-axis or the horizontal axis; (3)..

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Update Time: 2024-10-03

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