题目:
已知点P到x轴的距离为3个单位长度,到y轴的距离为4个单位长度,则点的坐标为
(4,3)或(4,-3)或(-4,3)或(-4,-3)
(4,3)或(4,-3)或(-4,3)或(-4,-3)
.
答案
(4,3)或(4,-3)或(-4,3)或(-4,-3)
解:设点P的坐标为(x,y).
∵点P到x轴的距离为3个单位长度,到y轴的距离为4个单位长度,
∴|y|=3,|x|=4,
∴y=±3,x=±4,
∴点P的坐标为(4,3)或(4,-3)或(-4,3)或(-4,-3).
故答案为(4,3)或(4,-3)或(-4,3)或(-4,-3).