问题1:针对以下每个问题写下答案:
(i)为了确定笛卡尔平面中任何点的位置而绘制的水平线和垂直线的名称是什么?
(ii)由这两条线形成的平面各部分的名称是什么?
(iii)写下这两条线相交的点的名称。
解决方案:
(i) Name of the horizontal and vertical lines are:
- The horizontal line drawn on the Cartesian plane is known as x-axis.
- The vertical line drawn on the Cartesian plane is known as y-axis.
(ii) The name of each part of the plane formed by the two lines x-axis and y-axis is called as a quadrant (1/4th part).
(iii) Name of the point where there two lines intersect is called the origin(O).
问题2:请参阅给定的图,并编写以下内容:
(i)B的坐标。
(ii)C的坐标。
(iii)由坐标(–3,–5)标识的点。
(iv)由坐标(2,– 4)标识的点。
(v)点D的横坐标。
(vi)点H的纵坐标。
(vii)点L的坐标。
(viii)点M的坐标。
解决方案:
(i) The coordinates of point B is the distance of point B from x-axis and y-axis that is −5 and 2 respectively.
Therefore, the coordinates of point B are (−5, 2).
(ii) The coordinates of point C is the distance of point C from x-axis and y-axis that is 5 and −5 respectively.
Therefore, the coordinates of point C are (5, −5).
(iii) The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.
(iv) The point whose x-coordinate and y-coordinate are 2 and −4 respectively is point G.
(v) The x-coordinate of point D is 6. Therefore, the abscissa of point D is 6.
(vi) The y-coordinate of point H is −3. Therefore, the ordinate of point H is −3.
(vii) The coordinates of point L is the distance of point L from x-axis and y-axis that is 0 and 5 respectively.
Therefore, the coordinates of point L are (0, 5).
(viii) The coordinates of point M is the distance of point M from x-axis and y-axis that is −3 and 0 respectively. Therefore, the coordinates of point M is (−3, 0).