名校
1 . “科技改变生活”,小王同学是一个摄影爱好者,入手了一个无人机用于航拍.在一次航拍时,小王在B处测得无人机A的仰角为
,登上斜坡
的C处测得无人机A的仰角为
.若斜坡
的坡比为
,C处的铅垂高度
为1.5米(点M,B,N在同一水平线上),求此时无人机的高度
.(结果精确到0.1米,参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7451b9d94e28503b8ac931632ff9dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9d5d7811052787a96c64e72bbc1559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9276f5c80582d75a9731f68947c5d08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a91fa163ba018df2dcf31e86f10180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c114c8734f0d064de64d8457655a980c.png)
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2 . 若商场为方便消费者购物,准备将原来的阶梯式自动扶梯改造成斜坡式动扶梯,如图所示,已知原阶梯式自动扶梯
长为10m,扶梯
的坡度
为
.改造后的斜坡式动扶梯的坡角
为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c6344f4cb0181eb91a1aacf203356f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/15/2614773611520000/2617748311162880/STEM/722d7ae2-4506-4723-b65c-9c51e2a5de80.png?resizew=229)
(1)请你求出
的长度;
(2)请你计算改造后的斜坡式自动扶梯
的长度.(结果精确到0.1m.参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db20862b954cd1886f4765657a46d91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c6344f4cb0181eb91a1aacf203356f.png)
![](https://img.xkw.com/dksih/QBM/2020/12/15/2614773611520000/2617748311162880/STEM/722d7ae2-4506-4723-b65c-9c51e2a5de80.png?resizew=229)
(1)请你求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)请你计算改造后的斜坡式自动扶梯
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aecf58169298bcb55984f1a3fe52946.png)
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2020-12-19更新
|
1016次组卷
|
3卷引用:河北省石家庄市石家庄外国语教育集团2020—2021学年九年级上学期第二次月考数学试题
3 . 如图,某工程队准备在山坡(山坡视为直线l)上修一条路,需要测量山坡的坡度,即tanα的值.测量员在山坡P处(不计此人身高)观察对面山顶上的一座铁塔,测得塔尖C的仰角为
,塔底B的仰角为
.已知塔高BC=80米,塔所在的山高OB=220米,OA=200米,图中的点O、B、C、A、P在同一平面内.
![](https://img.xkw.com/dksih/QBM/2019/1/15/2119306407182336/2120027205451777/STEM/752dd1f5246d43f89652ef72c65cd77d.png?resizew=554)
求:(1)P到OC的距离.
(2)山坡的坡度
.
(参考数据
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bd22e40bfd75e7596fa5bb017417fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94f41dcd852f7a02db4e6b84eff6db21.png)
![](https://img.xkw.com/dksih/QBM/2019/1/15/2119306407182336/2120027205451777/STEM/752dd1f5246d43f89652ef72c65cd77d.png?resizew=554)
求:(1)P到OC的距离.
(2)山坡的坡度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27687dd237df1abaaf26993532e82c6.png)
(参考数据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a08094641649ac4c7f1d46473544d7ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d8faecd42b52b3e9658f33b974e370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c41c623b79006d26e99ce73ba61e8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ed2ae3c78fc59dafa048605f7a04d7.png)
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4 . 一段铁路路基的横断面为等腰梯形
,路基顶宽为
,路基高为
,斜坡
的坡度
,求路基的下底宽(精确到
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7029178f5bde72d3fcc61fda6bcbc10a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f7eeb06cd905c9d8a13c1c67890417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db929e7d3293c83e16b27280622965e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/171eea3f8c42e1fd6498564c00146c8d.png)
![](https://img.xkw.com/dksih/QBM/2018/12/21/2101788428484608/2104584548139008/STEM/9d415ce0c56b40d28a9c117b59e2f3f1.png?resizew=100)
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2011·上海长宁·中考模拟
名校
5 . 为缓解交通压力,市郊某地正在修建地铁站,拟同步修建地下停车库.如图是停车库坡道入口的设计图,其中MN是水平线,MN∥AD,AD⊥DE,CF⊥AB,垂足分别为D,F,坡道AB的坡度=1:3,AD=9米,点C在DE上,CD=0.5米,CD是限高标志牌的高度(标志牌上写有:限高 米).如果进入该车库车辆的高度不能超过线段CF的长,则该停车库限高多少米?(结果精确到0.1米,参考数据:
≈1.41,
≈1.73,
≈3.16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
![](https://img.xkw.com/dksih/QBM/2019/6/13/2224721396948992/2230214389465088/STEM/3bdba8aec06646429ac07446ea2d70cf.png?resizew=263)
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2018-12-04更新
|
807次组卷
|
11卷引用:2011届上海市长宁区中考二模数学试卷
(已下线)2011届上海市长宁区中考二模数学试卷(已下线)2011届上海市闵行区4月中考模拟数学试卷【校级联考】河南省驻马店市泌阳县2018届九年级下学期第三次中考模拟数学试题【校级联考】河南省南阳市新野县2018届九年级下学期第二次模拟考试数学试题(已下线)学科网2019年4月2019届九年级第二次模拟大联考(河南)-数学【全国百强校】河南省郑州外国语中学2018届中考四模数学试题2019年河南省大联考中考数学二模试卷2019年河南省新乡、开封市名校联考二模数学试题2020年广东省深圳市龙岗区九年级中考数学5月模拟试题(已下线)【南昌新东方】 05-2020初三春季3月江科附中月考 16四川省攀枝花市米易县2019-2020学年九年级上学期期末数学试题
6 . 市政府决定今年将
长的大堤的迎水坡面铺石加固.如图,堤高
,堤面加宽
,坡度由原来的
改成
,则完成这一工程需要的石方数为________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29f6165410cfa31cfb29da1f29cc872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b252ab7df93f7627bb232a5cbdae47fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f5889ae7aa13ad09b3cdb4f7f89ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acf73afe897ced8cdb80e609d8be230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5616364088131e8f8fb90d1c88ae276e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5ad46761a13540141a349d6cd601e8.png)
![](https://img.xkw.com/dksih/QBM/2018/11/27/2084768326098944/2086068976091136/STEM/1f1f1a39f8d149a3805473534ed75b35.png?resizew=154)
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名校
7 . 一座建于若干年前的水库大坝的横断面如图所示,其中背水面的整个坡面是长为
米、宽为
米的矩形.现需将其整修并进行美化,方案如下:①将背水坡
的坡度由
改为
;②用一组与背水坡面长边垂直的平行线将背水坡面分成
块相同的矩形区域,依次相间地种草与栽花.
![](https://img.xkw.com/dksih/QBM/2018/11/28/2084859478024192/2089800565637120/STEM/f058d86cb23c4a0492519e298ccaa4c1.png?resizew=114)
(1)求整修后背水坡面的面积;
(2)如果栽花的成本是每平方米
元,种草的成本是每平方米
元,那么种植花草至少需要多少元?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c07cd985e255eaa7f2979dcd7cc742f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf6101c529b7868bc1c2fd46aca16bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df8bfe16038f52e3bc26b6fdb5d9d51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/931fece50ae3fa9440c63f8033300a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://img.xkw.com/dksih/QBM/2018/11/28/2084859478024192/2089800565637120/STEM/f058d86cb23c4a0492519e298ccaa4c1.png?resizew=114)
(1)求整修后背水坡面的面积;
(2)如果栽花的成本是每平方米
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98332ca603c91d0844ca2fb55763741b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f179a5e46197a7f5f5646fefd47c1989.png)
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2018-11-06更新
|
457次组卷
|
5卷引用:华师大版九年级数学上册_第24章_解直角三角形_单元测试题(1)