1 . 如图,在岷江的右岸边有一高楼
,左岸边有一坡度
的山坡
,点C、B在同一水平面上,
与
在同一平面内;某数学兴趣小组为了测量楼
的高度,在坡底C处测得楼顶A的仰角为
,然后沿坡面
上行了
到达D处,此时在D处测得楼顶A的仰角为
,求楼
的高度.(结果精确到
;参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09824eebae0979a2b6b1fcc4d04bdee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](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/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59870c18b2e23a8e1429829e49746b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b7bde83b97c3951c4762d537c8db21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaa19eeaf415ed419e77fe92794f443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4093f8961c3265d709ba392062c119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7c8279675bcc5438205edab9978f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa37efb0fd1ae5b6e52b3a033d47626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c894b7d6baa55c80c64e74748dad898.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/5/8e65a1f9-804a-4ad1-9829-77ee589eef28.png?resizew=202)
您最近一年使用:0次
2 . 如图,小明为了测量小河对岸大树
的高度,他在点A测得大树顶端B的仰角为
,沿斜坡走到点D,此时从点A到D上升的高度为2米,在此处测得树顶端点B的仰角为
,且斜坡
的坡比为
,E、A、C在同一水平线上.
(1)求小明从点A走到点D的距离;
(2)大树
的高度约为多少米?
(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7451b9d94e28503b8ac931632ff9dbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5881f1ce9b4172ca346032d0fd1e3d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/20/152808ad-9681-4851-a4e7-a3e1c7a70f84.png?resizew=286)
(1)求小明从点A走到点D的距离;
(2)大树
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b659daf103d2d3f906c274a2532e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41385beeda899e295ae092fa47ec8a30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d249aadf01efdd3dbc712ef5f58348.png)
您最近一年使用:0次
2024-02-20更新
|
130次组卷
|
2卷引用:四川省内江市2023-2024学年九年级上学期期末数学试题
3 . 在一次课外活动中,某数学兴趣小组测量一座大楼
的高度.如图所示,测得斜坡
的坡度
,坡底
的长为80米,在
处测得大楼
顶部
的仰角为
,在
处测得大楼
顶部
的仰角为
,求大楼
的高度.(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abe50a9e17ab60a2181830d6884b5ff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/6/cc7cf26b-d20c-478e-8c7e-df5654433651.png?resizew=242)
您最近一年使用:0次
2024-02-18更新
|
211次组卷
|
2卷引用:2024年四川省内江市东兴区部分学校九年级一模考试数学模拟试题
4 . 宜宾五粮液集团公司的鹏程广场有五粮液标志性建筑物——五粮液瓶楼,2003年被世界基尼斯评定为“全球规模最大的实物广告”.小张学习了解直角三角形后,想用所学知识测量五粮液瓶楼的高度.在垂直地面的五粮液瓶楼前阶梯下有一广场,小张在阶梯
前26米
处(
米)测得瓶楼顶
的仰角为
,走上阶梯
,在
处测得瓶楼顶
的仰角为
,又知道阶梯
的坡度
,阶梯
的坡面长度为
米,请你帮小张算算.
(1)求阶梯
的垂直高度;
(2)求瓶楼高度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c6eeb5a539d5fd68c2c4e172a9ded8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09824eebae0979a2b6b1fcc4d04bdee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c423cfa71956862edbed10a5ba12d0a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/11f12c21-b05b-4bdf-af81-37bfccca04c1.png?resizew=361)
(1)求阶梯
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求瓶楼高度.
您最近一年使用:0次
5 . “日照间距系数”反映了房屋日照情况.如图①,当前后房屋都朝向正南时,日照间距系数
,其中
为楼间水平距离,
为南侧楼房高度,
为北侧楼房底层窗台至地面高度,如图②,山坡
朝北,
长为15m,其坡度为
,山坡顶部平地
上有一高为24.3m的楼房
,底部
到
点的距离为5m.欲在
楼正北侧山脚的平地
上建一楼房
,已知该楼底层窗台
处至地面
处的高度为1.1m,要使该楼的日照间距系数不低于1.25,底部
距
处至少多远?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d088ea9ed2029823dc70491601156265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86163e76653de1f383788b741fb64a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff32e75822e4e0c74edb122a11c66be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1460aa3d83df61f6c411b34412135451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/3aa97f5f-52da-4bc1-bf88-6c5cd8bff583.png?resizew=368)
您最近一年使用:0次
6 . 如图,某堤坝的横截面是梯形
,已知坝顶
,坝高
,且斜坡
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/f0cf1c0a-bee2-4cda-87cd-86a93f949d39.png?resizew=207)
(1)求斜坡
的坡度;
(2)求坝底
的长.(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b82e9bf49473b3e107e7acb68e5b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a761060a43f6ac064737e403b09b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632c2f0258f3d540de3609cbbf07e8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/f0cf1c0a-bee2-4cda-87cd-86a93f949d39.png?resizew=207)
(1)求斜坡
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求坝底
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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7 . 河堤横断面如图,堤高
米,迎水坡
的坡比是
,则
的长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](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/60ef95894ceebaf236170e8832dcf7e3.png)
A.![]() | B.10米 | C.15米 | D.![]() |
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名校
8 . 已知一个斜坡的坡面长30米,铅直高度为15米,则这个斜坡的坡度为( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 如图,小明为了测量小河对岸大树BC的高度,他在点A测得大树顶端B的仰角是
,沿斜坡走
米到达斜坡上点D,在此处测得树顶端点B的仰角为31°,且斜坡AF的坡比为
(参考数据:
,
,
)
(2)大树
的高度约为多少米?(精确到0.1米)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/789456756dc4b993919ecd45b9b7377d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b659daf103d2d3f906c274a2532e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41385beeda899e295ae092fa47ec8a30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2d249aadf01efdd3dbc712ef5f58348.png)
(2)大树
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2023-12-29更新
|
375次组卷
|
9卷引用:四川省内江市第二中学2023-2024学年九年级上学期第二次质量检测数学试题
四川省内江市第二中学2023-2024学年九年级上学期第二次质量检测数学试题2024年四川省达州市渠县中学九年级中考第三次模拟测试数学试题【全国百强校】重庆市第八中学校2019届九年级(上)期末数学试卷【校级联考】江苏省连云港市灌云县西片2019届九年级下学期第一次月考数学试题山东省潍坊市青州市2019-2020学年九年级上学期期中数学试题山东省潍坊市诸城市2019-2020学年九年级上学期期中数学试题(已下线)九年级数学开学摸底考(沪科版九上下册,安徽专用)-2023-2024学年初中下学期开学摸底考试卷河南省南阳市内乡县2023-2024学年九年级上学期期末数学试题安徽省滁州市定远县第一初中教育集团2023-2024学年九年级下学期开学考试数学试题
10 . 如图,一堤坝的坡角
,坡面长度
米(图为横截面).为了使堤坝更加牢固,需要改变堤坝的坡面,为使得坡面的坡角
,则应将堤坝底端向外拓宽(
)多少米?(结果精确到
米,参考数据:
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a1f73190215b1c9d45a3dd9e6b66ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734138db35fcc1930a026c0c11867bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b517a427e371f90ced3cccce3abb26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589dfa98a450567b33b0f96b4c16d00e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1004cf2256be594a59703167d2511c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/27/16a2710b-1e18-44f6-824f-822dcf8e6c6d.jpg?resizew=115)
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