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1 . 足球比赛中,攻方队员在守方队员的逼抢下,其行进路线可看作一条直线
,已如球门两根立柱的坐标分别为
,
,直线
过两点
,
.球场的长度、宽度分别100,60(单位:米).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/462afb99-6ebe-41f2-9132-12b806ef1b03.png?resizew=104)
现攻方队员在行进过程中寻求机会射门,其位置用点
表示,
(1)若以攻方队员与球门中心
(
为坐标原点)的距离最近为标准,求点
的坐标;
(2)若以攻方队员对球门范围的视角最大(即
最大)为标准,求点
的坐标.
(结果保留一位小数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a4ef2f303b99f2711d31b24cbf11423.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba03ce21b781d9113abde12a81d767c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75141a84056e42bf2d9f8a5ba6753ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ad73bb58623c16207e89b64ca30488.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/462afb99-6ebe-41f2-9132-12b806ef1b03.png?resizew=104)
现攻方队员在行进过程中寻求机会射门,其位置用点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若以攻方队员与球门中心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若以攻方队员对球门范围的视角最大(即
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb686e4f5e3938575bc547e849d5513f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(结果保留一位小数)
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