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"Axisymmetric and Coordinate Changes" Position and Coordinates PPT Download
Part One Content: Basic Knowledge Key Points
Knowledge point 1: Coordinate changes of symmetry points
1. The coordinates of the point (-1,2) that are symmetrical about the x-axis are (C)
A.(1,2) B.(1,-2)
C.( -1,-2 )D.( 2,-1 )
2. In the plane rectangular coordinate system, the coordinates of point P' (-4,5), which is symmetrical about the y-axis, are (D)
A.( -4,5 ) B.( 4,-5 )
C.( -4,-5 )D.( 4,5 )
[Variation expansion] If the symmetry point of point P(a,1) about the y-axis is Q(2,b), then the value of a+b is (A)
A.-1 B.0 C.1 D.2
3. As shown in the figure, in the plane rectangular coordinate system, the known points A( 0,3 ), B( 2,4 ), C( 4,0 ), D( 2,-3 ), E( 0,-4 ). Write the coordinates of the symmetry points F, G, and H of D, C, and B about the y-axis, and mark the positions of the points F, G, and H in the figure. Connect A, B, C, D, and E in sequence. ,F,G,H,A points, observe the graph you drew, and explain what properties it has.
Solution: The figures are omitted. F(-2,-3), G(-4,0), H(-2,4). The drawn graph is symmetrical about the y-axis.
Knowledge point 2: Symmetry of graphics and coordinate changes of points
4. (Adapted) As shown in the figure, the vertices of △ABC are all on the square grid points, and the coordinates of point A are (-1,4). Fold △ABC along the y-axis to the first quadrant, then the corresponding The coordinates of point C' are (A)
A.(3,1) B.(-3,-1)
C.(1,-3) D.(3,-1)
Axial symmetry and coordinate changes PPT, part 2: improvement of comprehensive capabilities
6. If points A(6,7),B(6,-7), then the relationship between point A and point B is (A)
A. Symmetry about the x-axis
B. Symmetric about the straight line x=-1
C. Symmetry about the y-axis
D. Symmetric about the straight line y=-1
7. In the plane rectangular coordinate system, it is known that point P (a, 5) is in the second quadrant, then the coordinates of the point P that is symmetrical about the straight line m (the abscissa of each point on the straight line m is 2) is (D )
A.( -a,5 ) B.( a,-5 )
C.( -a+2,5 )D.( -a+4,5 )
8. As shown in the figure, line segment AB is translated to obtain line segment A'B'. The corresponding points of points A and B are points A' and B' respectively. These four points are all on the grid. If there is a point on line segment AB P(a,b), then the coordinates of point P' corresponding to point P' on A'B' are (A)
A.( a-2,b+3 ) B.( a-2,b-3 )
C.( a+2,b+3 ) D.( a+2,b-3 )
9. In the plane rectangular coordinate system, it is known that points A(0,2), B(4,1), and point P are on the x-axis, then the minimum value of PA+PB is 5.
10. As shown in the figure, the moving point P starts from (0,3) and moves in the direction shown in the figure. Whenever it hits the side of the rectangle, it rebounds. When rebounding, the reflection angle is equal to the incident angle. When point P touches for the 2019th time When reaching the side of the rectangle, the coordinates of point P are (8,3).
Axial symmetry and coordinate changes PPT, the third part of the content: Expansion of exploration and breakthrough
16. As shown in the picture, the shaded part is a figure composed of 5 small squares of the same size. Please paint two small squares in the square in the picture so that the shaded part after painting is an axially symmetrical figure.
Solution: As shown in the figure. (The answer is not unique)
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 courseware download:
"Axis Symmetry and Coordinate Changes" Position and Coordinates PPT Courseware Download Part One Content: New Lesson Introduction As shown in the picture is Xiaogang's face. If (-12) is used to represent his left eye and (00) is used to represent the mouth, So how should the position of the right eye be expressed? ... ... ... Axis pair...
"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:
"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..