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

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

Part I: Introduction to the new course

(1) How to establish a plane rectangular coordinate system?

Answer: (1) Establish the origin O;

(2) The right direction through point O is the positive direction, and a number axis is established at the horizontal position called the x-axis or horizontal axis;

(3) The orientation through point O is the positive direction, and a number axis is established at the vertical position called the y-axis or vertical axis.

Plane Cartesian Coordinate System PPT, Part 2: New Knowledge Exploration

(2) What are the characteristics of the coordinates of points in each quadrant?

As shown in the figure, find the coordinates of A, B, C, D, E, F.

(3) In the rectangular coordinate system, try to find a number of points so that the closed figure obtained by connecting the points is a "ten" as shown in the figure.

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

Taking point C as the center of the circle, the straight line where CD is located is the x-axis, and the straight line where CB is located is the y-axis to establish a plane rectangular coordinate system. At this time: A(6,4), B(0,4), C(0,0), D(6,0).

For an equilateral triangle ABC with side length 4 (as shown in the figure), establish an appropriate rectangular coordinate system and write the coordinates of each vertex.

Solution: As shown in the figure, a rectangular coordinate system is established with the straight line of side BC as the x-axis and the perpendicular of side BC as the y-axis. From the properties of the equilateral triangle, it can be seen that AO=2√3, each of the equilateral triangle ABC The coordinates of vertices A, B, and C are A(0, ), B(-2,0), and C(2,0) respectively.

Plane Cartesian Coordinate System PPT, Part 3: Consolidation Exercises

As shown in the figure, in a military chess game, if the coordinates of the regiment leader's position are (2,-4) and the commander's position is (4,-1), then the coordinates of the engineer's position are_ ______.

Plane Cartesian Coordinate System PPT, Part 4: Class Summary

In this section, by learning various methods of establishing a rectangular coordinate system, you can experience mathematical activities full of exploration and creation. Different coordinate systems, for the same figure, have different coordinates of points.

Different plane rectangular coordinate systems are established. The same figure and the same point can be represented by different coordinates. In practical applications, the premise is that the coordinates are simple and easy to calculate.

Plane Cartesian Coordinate System PPT, Part 5: Classroom Quiz

1. The abscissa of the point on the y-axis is ( ), and the ordinate of the point on the x-axis is ( ).

2. The coordinates of point A (2, - 3) that are symmetrical about the x-axis are __________.

3. The coordinates of point B (-2, 1) that are symmetrical about the y-axis are __________.

4. In order to develop an urban agglomeration, a certain place is building a new airport E near the existing four small and medium-sized cities A, B, C, and D. Try to establish an appropriate rectangular coordinate system and write the coordinates of each point.

Solution: The answer is not unique. You can use point A as the coordinate origin to establish a plane rectangular coordinate system.

at this time:

A(0,0),B(11,2),

C(11,9),D(6,7),E(2,10)

5. As shown in the figure, the side length of equilateral triangle ABC is 6. Establish an appropriate rectangular coordinate system and write the coordinates of each vertex.

Solution: As shown in the figure, a rectangular coordinate system is established with the midpoint of AB as the origin, the straight line where side AB is located as the x-axis, and the perpendicular line of side AB as the y-axis.

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"Plane Cartesian Coordinate System" Position and Coordinate PPT Courseware (Lesson 1):

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

"Plane Cartesian Coordinate System" Position and Coordinates PPT (Lesson 2) Part One: New Knowledge Exploration 1. Definition of Plane Cartesian Coordinate System: In a plane, two mutually perpendicular axes with a common origin form a plane Cartesian coordinate system. 2. The coordinates of the points on the x-axis and y-axis..

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Update Time: 2024-06-30

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