问题1.在方格纸上绘制以下几点:
(i)(2,5)(ii)(4,-3)(iii)(-5,-7)(iv)(7,-4)(v)(-3,2)
(vi)(7,0)(vii)(-4,0)(viii)(0,7)(ix)(0,-4)(x)(0,0)
解决方案:
Let us considered O (0, 0) be the origin.
(i) Let the given point be A = (2, 5)
Now, the A is at 5 units of distance from x- axis and at 2 units of distance from y-axis.
So, A is in the 1st quadrant.
(ii) Let the given point be B = (4,-3)
Now, the B is at -3 units of distance from x- axis and at 4 units of distance from y-axis.
So, B is in the 4th quadrant.
(iii) Let the give point be C = (-5, -7)
Now, the C is at -7 units of distance from x- axis and at -5 units of distance from y-axis.
So, C is in the 3rd quadrant.
(iv) Let the give point be D = (7, -4)
Now, the D is at -4 units of distance from x- axis and at 7 units of distance from y-axis.
So, D is in the 4th quadrant.
(v) Let the give point be E = (-3, 2)
Now, the E is at 2 units of distance from x- axis and at -3 units of distance from y-axis.
So, E is in the 2nd quadrant.
(vi) Let the give point be F = (7, 0)
Now, the F is at 0 units of distance from x- axis and at 7 units of distance from y-axis.
So, F is at the positive x-axis.
(vii) Let the give point be G =(-4, 0)
Now, the G is at 0 units of distance from x- axis and at -4 units of distance from y-axis.
So, G is at the negative x-axis.
(viii) Let the give point be H = (0, 7)
Now, the H is at 0 units of distance from x- axis and at 7 units of distance from y-axis.
So, H is at the positive y-axis.
(ix) Let the give point be I = (0, -4)
Now, I at -4 units of distance from x- axis and at 0 units of distance from y-axis.
So, I at the negative y-axis.
(x) Let the give point be J = (0, 0)
Now, the J is at 0 units of distance from x- axis and at 0 units of distance from y-axis.
So, J is the origin only.
问题2.写下方格纸中标记的以下每个点的坐标。
解决方案:
Here, Point A is at 1 units of distance from x- axis and at 3 units of distance from y-axis.
So, coordinates of point A is (3, 1).
Here, Point B is at 0 units of distance from x- axis and at 6 units of distance from y-axis.
So, coordinates of point B is (6, 0).
Here, Point C is at 6 units of distance from x- axis and at 0 units of distance from y-axis.
So, coordinates of point C is (0, 6).
Here, Point D is at 0 units of distance from x- axis and at -3 units of distance from y-axis.
So, coordinates of point D is (-3, 0).
Here, Point E is at 3 units of distance from x- axis and at -4 units of distance from y-axis.
So, coordinates of point E is (-4, 3).
Here, Point F is at -4 units of distance from x- axis and at -2 units of distance from y-axis.
So, coordinates of point F is (-2, -4).
Here, Point G is at -5 units of distance from x- axis and at 0 units of distance from y-axis.
So, coordinates of point G is (0, -5).
Here, Point H is at -6 units of distance from x- axis and at 3 units of distance from y-axis.
So, coordinates of point H is (3, -6).
Here, Point P is at -3 units of distance from x- axis and at 7 units of distance from y-axis.
So, coordinates of point P is (7, -3).
Here, Point Q is at 6 units of distance from x- axis and at 7 units of distance from y-axis.
So, coordinates of point Q is (7, 6).
Hence, all the points are A(3, 1), B(6, 0), C(0, 6), D(-3, 0), E(-4, 3), F(-2, -4), G(0, -5),
H(3, -6), P(7, -3) and Q(7, 6).