(本题满分10分)在平面直角坐标系中,点 P 从原点 O 出发,每次向上平移2个单位长度或向右平移1个单位长度.
1个回答

(1)(说明:描点正确得1分,坐标填写正确得1分)······················· 2分

(2)

.············································ 5分

(说明:写对一个解析式得1分)

(3)设点 Q 的坐标为

,依题意,

解这个方程组,得到点 Q 的坐标为

.················································ 7分

∵平移的路径长为

,∴50≤

≤56.∴37.5≤

≤42.························ 9分

而点 Q 的坐标为正整数,因此点 Q 的坐标为

.······················· 10分