"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 3

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"Plane Cartesian Coordinate System" Position and Coordinates PPT Courseware 3

Please establish a plane rectangular coordinate system on the graph paper, and then trace the following points A (0, 5), B (-6, 2), C (6, 2), D (-3, 2), E (-3 ,-2),F(3,-2),G(3,2)

1. Observe the coordinates of points A, M, and N, and the coordinates of points P and Q. So what are the characteristics of the points on the coordinate axis?

2. What is the distance from each point to the x-axis and y-axis respectively?

3. Observe points B, C and D, G and E, F. What are the characteristics of their horizontal and vertical coordinates? What is the relationship between line segments BC and EF and the x-axis position?

4. Observe points D, E and F, G. What are the characteristics of their horizontal and vertical coordinates? What is the relationship between line segments DE and FG and the y-axis position?

Basic questions:

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. The distance from point M (-8, 12) to the x-axis is ( ), and the distance to the y-axis is ( ).

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

(A) Symmetrical about the origin (B) Symmetrical about the x-axis (C) Symmetrical about the y-axis (D) No symmetrical relationship can be formed

Improvement question:

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

2. Given the known points P (a, b), Q (3, 6), and PQ ∥ x-axis, the value of b is ( ).

3. 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

4. Real numbers x, y satisfy x2+ y2= 0, then point P (x, y) is in ().

(A) Origin (B) Positive half axis of x-axis (C) First quadrant (D) Any position

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

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