1 . 在某海域
处的巡逻船发现南偏东
方向,相距
海里的
处有一可疑船只,此可疑船只正沿射线
(以
点为坐标原点,正东,正北方向分别为
轴,
轴正方向,1海里为单位长度,建立平面直角坐标系)方向匀速航行.巡逻船立即开始沿直线匀速追击拦截,巡逻船出发
小时后,可疑船只所在位置的横坐标为
.若巡逻船以30海里/小时的速度向正东方向追击,则恰好1小时与可疑船只相遇.
(1)求
的值;
(2)若巡逻船以
海里/小时的速度进行追击拦截,能否搃截成功?若能,求出搃截时间,若不能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ae94fd75aad4aad175a469e01ceb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e56be9d3181c819d6005469f6c024b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若巡逻船以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeda3056f270150c01e4ca16bceee64.png)
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2022-01-24更新
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1205次组卷
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5卷引用:山东省泰安市2021-2022学年高三上学期期末数学试题