名校
1 . 如图,河堤横断面迎水坡
的坡比是
,堤高
,则坡面
的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db20862b954cd1886f4765657a46d91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614c45b20f915ed6975e41a6ed23e3e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 下列说法正确的是( )
A.为了审核书稿中的错别字,选择抽样调查 |
B.斜坡的坡度指的是坡角的度数 |
C.所有的等腰直角三角形都相似 |
D.“经过有交通信号灯的路口,遇到红灯”是必然事件 |
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3 . 如图所示,某办公大楼正前方有一根高度是
米的旗杆
,从办公楼顶端
测得旗杆顶端
的俯角
是
,旗杆底端
到大楼前梯坎底边的距离
是
米,梯坎坡长
是
米,梯坎坡度
,则大楼
的高度约为( )(精确到
米,参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/162fa446bc180d5b10710d9ce7947cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c894b7d6baa55c80c64e74748dad898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb015b3adfab424c91f1ed8b123fc23c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 如图,坡角
的斜坡上有一棵垂直于水平地面的大树
,当太阳光线与水平线成
角沿斜坡照下时,在斜坡上的树影
长为4米,则大树
的高为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c9efd52ec4af254022b6e4418adb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b342d5cb6dd1c84a82f6aca68ed829c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 位于深圳市罗湖区的梧桐山公园自西南向东北渐次崛起,分布着小梧桐、豆腐头、大梧桐三大主峰.从远处观看,山中最为瞩目的当属小梧桐电视塔.登临小梧桐山顶,可上九天邀月揽星,可鸟瞰深圳关内外壮丽美景.我校某数学兴趣小组的同学准备利用所学的三角函数知识估测该塔的高度,已知电视塔
位于坡度
的斜坡
上,测量员从斜坡底端
处往前沿水平方向走了
达到地面
处,此时测得电视塔
顶端
的仰角为
,电视塔底端
的仰角为
,已知
、
、
、
在同一平面内,则该塔
的高度为( )
,(结果保留整数,参考数据;
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e34b79c53d8ef007f19be2dda8ee641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26200dc5e0e1b1f84d1623cb36e828f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6f107b79080fa968334b16fec1dd4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c030b25575d683af91c06e6a3e4f463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db72b701bf76a7130aee45f60ed6eaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
A.24 | B.31 | C.60 | D.136 |
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名校
6 . 如图,为测量观光塔AB的高度,冬冬在坡度
的斜坡
的D点测得塔顶A的仰角为
,斜坡
长为26米,C到塔底B的水平距离为9米.图中点A,B,C,D在同一平面内,则观光塔AB的高度约为( )米.(结果精确到
米,参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4dd80daefa23a61d300a829f77bbfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3fefe07cbda3517e88b226d557dc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ac286aaabaf423a8bdc5b008dcf567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3276a6fe4d3e8fc86c7b96b5e1aa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54498fde8e57d82ffeef09a2979eca1c.png)
A.10.5米 | B.16.1米 | C.20.7米 | D.32.2米 |
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名校
7 . 如图河堤横断面迎水坡
的坡比
, 堤高
,则坡面
的长度是( )m
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5881f1ce9b4172ca346032d0fd1e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e604056e427f82f7a282e8ad3d14e636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.8 | B.18 | C.![]() | D.![]() |
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8 . 如图,在坡比为
的斜坡上有一电线杆
.某时刻身高1.7米的小明在水平地面上的影长恰好与其身高相等,此时电线杆在斜坡上的影长
为30米,则电线杆
的高为( )米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db20862b954cd1886f4765657a46d91c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024·云南昆明·一模
名校
9 . 如图,某班数学课外活动小组的同学想要测量公园内一小山的高度
,通过测量知道坡角
,斜坡
的长度为
,则小山的高度
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9667032ec704927b9a3dcd2d73e6ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ddf25f9632679ea9aa274898dfa115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 某同学利用数学知识测量建筑物
的高度,他从点
出发沿着坡度为
的斜坡
步行
米到达点
处,用测角仪测得建筑物顶端
的仰角为
,建筑物底端
的俯角为
.若
为水平的地面,点
在同一平面内,建筑物
和测角仪
与水平方向垂直,若
米,则此建筑物的高度
约为( )(精确到
米,参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ae941c9aef1c8186fe2518389df339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5453184e251cfe787b5965cd38426962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3fefe07cbda3517e88b226d557dc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1258b3cc1a5b98a4f5cd9a80b181e941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ac286aaabaf423a8bdc5b008dcf567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f3276a6fe4d3e8fc86c7b96b5e1aa7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54498fde8e57d82ffeef09a2979eca1c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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