"Axisymmetric and Coordinate Changes" Position and Coordinates PPT Courseware Download

Description

"Axisymmetric and Coordinate Changes" Position and Coordinates PPT Courseware Download

Part One: Introduction of New Courses

As shown in the picture is Xiaogang's face. If (-1,2) is used to represent his left eye and (0,0) is used to represent the mouth, then how should the position of the right eye be represented?

Axial symmetry and coordinate changes PPT, part 2: exploration of new knowledge

1. In the plane rectangular coordinate system as shown in the figure, there is a small flag in each of the first and second quadrants.

(1) What is the positional relationship between the two small flags? What common characteristics do the coordinates of the corresponding points A and A1 have? Do the coordinates of other corresponding points also have this characteristic?

The two small flags are symmetrical about the y-axis. The ordinates of the corresponding points A and A1 are equal, and the abscissas are opposite to each other. The coordinates of the other corresponding points also have this characteristic.

(2). Pick any point in the coordinate system to the right of the y-axis, make this point symmetrical about the y-axis, see what kind of relationship there is between the coordinates of the two points, and explain the reason.

The ordinates of two points are equal and the abscissas are opposite numbers to each other.

(3). What if it is symmetrical about the x-axis? In this coordinate system, a symmetrical figure of the small flag ABCD is made about the x-axis. What is the relationship between the coordinates of each vertex and the coordinates of the original point?

Two points that are symmetrical about the x-axis have equal abscissas and opposite ordinates.

(1) Connect the following points in sequence in the plane rectangular coordinate system: (0,0), (5,4), (3,0), (5,1), (5,-1), (3,0 ), (4,-2), (0,0), what kind of pattern do you get?

Answer: The pattern obtained by connecting the points in sequence is as shown on the left. It looks like a small fish.

(2) Keep the vertical coordinates of each "vertex" of the resulting pattern unchanged, multiply the horizontal coordinates by -1 respectively, and connect these points in sequence. What pattern will you get? What is the positional relationship between this pattern and the original pattern?

Solution: The vertical coordinate remains unchanged, and the horizontal coordinate is multiplied by -1 respectively. The coordinates of each obtained point are (0,0), (-5,4), (-3,0), (-5,1), ( -5,-1), (-3,0), (-4,-2), (0,0), connect these points in sequence. The resulting pattern and the original pattern are as shown on the left. They are symmetrical about the y-axis.

(3) The abscissa remains unchanged, the ordinates are multiplied by -1 respectively, and these points are connected in sequence. What changes does the resulting pattern have compared with the original pattern?

Answer: The abscissa remains unchanged, the ordinates are multiplied by -1 respectively, and the coordinates of each point are (0,0), (5,-4), (3,0), (5,-1), (5 ,1), (3,0), (4,2), (0,0), connect these points in sequence and observe the resulting pattern, which is symmetrical with the original pattern about the x-axis.

Axial symmetry and coordinate changes PPT, part 3: consolidation exercises

1.The coordinates of the point A(2,-3) that is symmetrical about the x-axis are_______.

2. The coordinates of the point B(-2,1) that is symmetrical about the y-axis are_______.

3. The relationship between the point (4,3) and the point (4,-3) is ()

A. Symmetric about the origin B. Symmetric about the x-axis

C. Symmetrical about the y-axis D. No symmetrical relationship

Axial symmetry and coordinate changes PPT, Part 4 content: Class summary

1. The coordinate characteristics of the points on the two figures that are symmetrical about the y-axis: (x, y) - (-x, y).

2. The coordinate characteristics of the points on the two figures that are symmetrical about the x-axis: (x, y) - (x, -y).

3. The coordinate characteristics of the points on the two figures that are symmetrical about the origin: (x,y)——(-x,-y).

Axial symmetry and coordinate changes PPT, Part 5: Classroom quiz

1. Point (m,-1) and point (2,n) are symmetrical about the x-axis, then mn is equal to ( )

A.-2　B.2　C.1　D.-1

2. (1) If mn=0, then point P(m,n) must be on __________;

(2) Points P(a,b), Q(3,6) are known, and PQ∥x axis, then the value of b is __________.

3. Point A is in the first quadrant. When m is _______, the distance from point A (m+1, 3m-5) to the x-axis is half of its distance to the y-axis.

4. It is known that the coordinates of points A and B are (-2,3) and (2,3) respectively, then the following four conclusions can be drawn:

①A and B are symmetrical about the x-axis; ②A and B are symmetrical about the y-axis; ③A and B are symmetrical about the origin; ④The distance between A and B is 4.

Among them, the number of correct conclusions is ()

A.1 B.2 C.3 D.4

Keywords: Free download of Beijing Normal University edition eighth-grade mathematics PPT courseware for volume 1, axial symmetry and coordinate changes PPT download, position and coordinate PPT download, .PPT format;

For more information about the "Position and Coordinate Axis Symmetry and Coordinate Change" PPT courseware, please click the Position and Coordinate PPT Axis Symmetry and Coordinate Change PPT tag.

"Axisymmetric and Coordinate Changes" Position and Coordinates PPT Teaching Courseware:

"Axis Symmetry and Coordinate Changes" Position and Coordinates PPT Teaching Courseware Part One Content: Learning Objectives 1. Explore the process of graph coordinate changes. (Key Points) 2. Master the relationship between graph coordinate changes and graph axis symmetry. (Difficulty). .. ... ...Axisymmetric and...

"Axisymmetric and Coordinate Changes" Position and Coordinates PPT Download:

"Axis Symmetry and Coordinate Changes" Position and Coordinates PPT Download Part One Content: Basic Knowledge Points Point 1 Coordinate Changes of Symmetric Points 1. Point (-12) The coordinates of a point that is symmetrical about the x-axis are (C) A.(12 ) B.( 1-2 ) C.( -1-2 )D.( 2-1 ) 2..

"Axisymmetric and Coordinate Changes" Position and Coordinates PPT:

"Axis Symmetry and Coordinate Changes" Position and Coordinates PPT Part One Content: Learning Objectives 1. Through exploration in practical activities, discover the rules of points that are symmetrical about the x-axis and y-axis in the plane rectangular coordinate system, thereby developing students' mathematics The idea of ​​combining form stimulates the pursuit of knowledge..

File Info

Update Time: 2024-09-26

This template belongs to Mathematics courseware Beijing Normal University Edition Eighth Grade Mathematics Volume 1 industry PPT template

Preview