真题
1 . 风电项目对于调整能源结构和转变经济发展方式具有重要意义.某电力部门在某地安装了一批风力发电机,如图(1)某校实践活动小组对其中一架风力发电机的塔杆高度进行了测量,图(2)为测量示意图(点
,
,
,
均在同一平面内,
).已知斜坡
长为20米,斜坡
的坡角为
,在斜坡顶部
处测得风力发电机塔杆顶端
点的仰角为
,坡底与塔杆底的距离
米,求该风力发电机塔杆
的高度.
(结果精确到个位;参考数据:
,
,
,
)
![](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/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aee6e4e9350a2665df8597ff8045bbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c83b688911f105cffe00d6d54eea13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(结果精确到个位;参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac980ce194582899d857b5f6edd431e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702e8d9602884d50948248734a1e1324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a0f8f5fabed2f1e761cd55660526c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460317e7c26f95b9b29cfe1a89b796d6.png)
您最近一年使用:0次
名校
2 . “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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3 . 如图,某处有一座塔
,塔的正前方有一平台
,平台的高
米,斜坡
的坡度
:
,点
,
,
,
在同一条水平直线上
某数学兴趣小组为测量该塔的高度,在斜坡
处测得塔顶部
的仰角为
,在斜坡
处测得塔顶部
的仰角为
,求塔高
.(精确到
米)(参考数据:
,
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefb0dc1b957781b5890f87cd413f15a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bf233a6d9ce7dd32c93cc1052532616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e1d0f65817ba32a732040518f41440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834dd9adc2557361a6a03bb54d8b7e0.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/31ba8299ff43abec7bb3e61776655234.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/00ac6b6edbebaa4cd26ede022cc857bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6748b28b0b62d2fa9c1b487aab4a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73c483d52918a7fde66e5b1e38dfbb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afeabff144c47d6416b5d239c762a479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1efc920e7fe39ed8dc51081db8de6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5a302c41f4aa3ab84d7a3b875200e8.png)
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4 . 某兴趣小组为测量其所在城市同一水平面上的高铁东站和高铁西站之间的距离,将无人机停在空中M处,测得高铁西站所在的A处的俯角为
,再将无人机沿坡度为
的方向飞行2千米到达N处,此时测得A处的俯角为
,高铁东站所在的B处的俯角为
(点A、B、M、N在同一竖直平面内),求
之间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe51dcd5ae4e861929d637ca20124928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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5 . 如图,是水库大坝横断面的部分,坝高
,迎水斜坡
,斜坡的坡角为α,则该大坝的坡度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/391c1cc570b0bdbd1a5b65b5cbdd5509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018e3ce296391f3c71070b068527fae7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 图1是巴中市巴城地标建筑回风亭,它始建于1926年,占地面积210平方米,它不仅是红色巴中独具特色的标志性建筑之一,还是四川省第七批省级文物保护单位,具有重要的研究价值.九年级的浩文同学也十分喜爱回风亭,在学习了相关数学知识后,他与同学进行了“测量回风亭高度”的综合实践活动.如图2所示,浩文和同学在斜坡底
处测得该亭的亭顶
的仰角为
,然后他们沿着坡度为
的斜坡
走行了13米,在坡顶
处又测得该亭的亭顶
的仰角为
.求:
到地
的距离;
(2)回风亭
的高度.(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/b28f8df24fecd0b72da74359c26fc569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.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/5a3fefe07cbda3517e88b226d557dc2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef49a3ca580a144cc65a609c167facc1.png)
(2)回风亭
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda03ceb4f1fe16d623a6e461751a1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cdcb1b3f6358e26e00403935f4ae7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b618f4698114554cbd749582e9cf25db.png)
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7 . 如图,某数学兴趣小组为了测量古树
的高度,采用了如下的方法:先从与古树底端
在同一水平线上的点
出发,沿斜面坡度为
的斜坡
前进
米到达点
,再沿水平方向继续前进一段距离后到达点
.在点
处测得古树
的顶端
的俯角为
,底部
的俯角为
,求古树
的高度(计算结果精确到1米,参考数据:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8628726fc9aa4382da4e98f9f8e2c3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/254f942341f65547368c0206d1d748f8.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8141d00b74eb4c50bf861e6ff0edf137.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/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4a464571456fdf7e741405162bd0bd.png)
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8 . 如图①是位于青岛的山东省内最大的海景摩天轮“琴岛之眼”,游客可以在碧海蓝天之间领略大青岛的磅礴气势.图②是它的简化示意图,点O是摩天轮的圆心,小红在E处测得摩天轮顶端A的仰角为
,她沿水平方向向左行走122m到达点D,再沿着坡度
的斜坡走了20米到达点C,然后再沿水平方向向左行走40m到达摩天轮最低点B处(A,B,C,D,E均在同一平面内),求摩天轮
的高度.(结果保留整数)(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc30d7dcade65397851643a607388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbee6e595ad1697df091ed7d871d7013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd56fe33a545f44aabcc5c357722043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9df3231d3019b87419d610a6098e157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d696a6266ee759d116fba5333c916d8.png)
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2024-05-08更新
|
327次组卷
|
5卷引用:2024年四川省成都市天府新区多校联合中考数学二模模拟试题
名校
9 . 如图,梯形
为一条河流的横截面,河对岸点
处有一座高
米的铁塔
,在河岸点
处观测铁塔顶部点
的仰角为
,同时铁塔底部点
的仰角为
,已知河岸坡面
的坡比为
,求河面
的宽度是多少米?(结果保留根号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8057131f4bae6260aaeda1eb3c77fb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78c013cb4fc61193b651072d5e15de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.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/8b342d5cb6dd1c84a82f6aca68ed829c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c030b25575d683af91c06e6a3e4f463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8120f2eeb724c756b5f84a14c6df527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6099c5d8df7335e6aaf41afa2f10dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
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名校
10 . 为贯彻落实“绿水青山就是金山银山”的发展理念,某市大力开展植树造林活动.如图,在坡度
的山坡
上植树,要求相邻两树间的水平距离
为
米,则斜坡上相邻两树间的坡面距离
为____________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df98c7b41e565f2f1f0b36fb98cfe3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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