问题1:x轴上有一个点。它的y坐标和z坐标是什么?
解决方案:
If a point is on the x-axis, then the coordinates of y and z are 0.
So the point is (x, 0, 0)
问题2:点在XZ平面上。您能说说它的y坐标吗?
解决方案:
If a point is in XZ plane,
So its y-coordinate is 0
问题3:命名以下几点所在的八分圆:
(1,2,3),(4,–2,3),(4,–2,–5),(4,2,–5),(– 4,2,–5),(– 4, 2,5),(–3,–1,6)(2,– 4,4,-7)。
解决方案:
Octants | I | II | III | IV | V | VI | VII | VIII |
x | + | – | – | + | + | – | – | + |
y | + | + | – | – | + | + | – | – |
z | + | + | + | + | – | – | – | – |
(i) (1, 2, 3)
Here x is positive, y is positive and z is positive.
So it lies in I octant.
(ii) (4, -2, 3)
Here x is positive, y is negative and z is positive.
So it lies in IV octant.
(iii) (4, -2, -5)
Here x is positive, y is negative and z is negative.
So it lies in VIII octant.
(iv) (4, 2, -5)
Here x is positive, y is positive and z is negative.
So it lies in V octant.
(v) (-4, 2, -5)
Here x is negative, y is positive and z is negative.
So it lies in VI octant.
(vi) (-4, 2, 5)
Here x is negative, y is positive and z is positive.
So it lies in II octant.
(vii) (-3, -1, 6)
Here x is negative, y is negative and z is positive.
So it lies in III octant.
(viii) (2, -4, -7)
Here x is positive, y is negative and z is negative.
So it lies in VIII octant.
问题4:填写空白:
(i)x轴和y轴共同确定一个称为_______的平面。
解决方案:
The x-axis and y-axis taken together determine a plane known as XY Plane.
(ii)XY平面上的点的坐标格式为_______。
解决方案:
The coordinates of points in the XY-plane are of the form (x, y, 0).
(iii)座标平面将空间分成______个八分圆。
解决方案:
Coordinate planes divide the space into eight octants.