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"Review" Plane Cartesian Coordinate System PPT Courseware 2
Determine the location of a point in the plane
Draw two number lines
①Perpendicular to each other
②Have a common origin
Establish a plane rectangular coordinate system
Reading and tracing points
Quadrants and symbols of points within quadrants
Coordinates of special location points
Symmetry about the x, y axes and about the origin
Coordinates and quadrants of points on the plane.
1. The coordinates of points on the plane are pairs of ordered numbers.
2. Determine the coordinates of the point,
3. Characteristics of the coordinates of points on the coordinate axis:
4. Characteristics of the coordinates of each quadrant.
5. Points on the coordinate axis do not belong to any quadrant
1. The coordinates of point P are (2,-3), then point P is in the ______ quadrant.
2. If the coordinates of point P (x, y) satisfy xy�0, then point P______ is in the ______ quadrant;
If the coordinates of point P (x, y) satisfy xy�0 and are above the x-axis, then point P is in the ______ quadrant.
3. If the coordinates of point A are (-3, 5), then its distance to the x-axis is ______, and its distance to the y-axis is ______.
4. If point B is above the x-axis and to the right of the y-axis, and the distances to the x-axis and y-axis are 2 and 4 unit lengths respectively, then the coordinates of point B are ______.
5. The distances from point P to the x-axis and y-axis are 2 and 1 respectively, then the coordinates of point P may be ______
If the coordinates of the corresponding points of the two patterns are changed as follows, what changes will the resulting pattern have compared with the original pattern?
(1) The corresponding point (x, y) becomes (x+5,y)
Translate 5 units to the right, the shape and size remain unchanged.
(2) The corresponding point (x, y) becomes (x-6,y)
Translate 6 units to the left, the shape and size remain unchanged.
(3) The corresponding point (x, y) becomes (x, y+9)
Translate up 9 units, the shape and size remain unchanged.
(4) The corresponding point (x, y) becomes (x, y-7)
Translate down 7 units, the shape and size remain unchanged.
Consolidate training
1. The distance from point P (-2, -3) to the x-axis is ______, and the distance to the y-axis is ______.
2. Point P (3x-3, 2-x) is in the fourth quadrant, then the value range of x is ______.
3. It is known that point A (1+m, 2m+1) is on the x-axis, then m=______, and the coordinates at this time are ______.
4. Given point A (5, 2) and point B (-3, b), and AB∥x axis, then b=______.
The distance from a point on the plane to the coordinate axis
1. The distance from point P(1,-4) to the x-axis is ______, and the distance to the y-axis is ______.
2. The distance from point P (a, b) to the x-axis is ______, and the distance to the y-axis is ______.
3. Point A is on the y-axis, 4 units away from the origin. Then the coordinates of A are ______.
4. Point A is on the right side of the y-axis, 4 units away from the y-axis, and 3 units away from the x-axis, then the coordinates of A are ______.
5. Point P is below the x-axis, 4 units from the x-axis; to the left of the y-axis, 3 units from the y-axis, then the coordinates of P are P(______)
6. The distance from point P (a-2, 2a+3) to the two coordinate axes is equal, then a=______.
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