小华和同学们想用所学的几何知识测量大雁塔的高度以检验自己掌握知识和运用知识的能力.如图所示,他们的测量方法是:首先,在阳光下,小华站在大雁塔影子的顶端
处,此时测得小华的影长
,小华身高
.然后小华向左走
到达点
处,安装测倾器
,测得大雁塔顶端
的仰角为
,已知测倾器的高度
.已知在测量过程中,点
在同一水平直线上,
均垂直于地面
,求大雁塔的高度
.(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed05521627663303bd3f27a89f72e5de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2752ae740fca38607d3d34268bad029d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d5b4a63c9e62aa2726aeea0f7e0385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](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/2fb94bd9eb80fb9f5f02f518bb8f2211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf6d29649ca983107243a631e087205e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0848c69fa6cffac1b9690d3b2bf6ade4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c30ac5adb0b9c4419d61b68b72dbd8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091c2eed9b597acc2a8ffd73c2dd8d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae6b5b7bef9d36056ce704ccfefdeb66.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/20/c4894557-d170-4bdf-a46d-279da15e8c99.jpg?resizew=182)
更新时间:2024-03-22 06:46:06
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】如图,楼房
的高度为30米,楼房
的高度为20米,两栋楼房之间的距离
为40米,某天,
楼发生火灾,所有群众都逃到楼顶等待救援,消防队员决定用消防车上的云梯把
楼顶的群众转运到安全的
楼的楼顶(转运过程中云梯的长度保持不变),已知消防车的云梯支点
距离地面的高度为2米,求消防车的停靠点
到楼房
的底端
的距离(消防车的宽度忽略不计).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/13/1810ccb1-cb08-4d53-9dfc-3ca639b8a0bb.png?resizew=183)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图1,在矩形ABCD中,AB=8,BC=6,连接AC,点O为AC的中点,点E为线段BC上的动点,连接OE,过点O作OF⊥OE,交AB于点F,连接EF.
(1)如图1,当CE=3时,求OF的长;
(2)如图2,当点E在线段BC上运动过程中,
的大小是否发生变化?若变化,请说明理由;若不变,请求出
的值;
(3)连接BO,当BO将△OEF分成两部分面积之比为1:2时,求BE的长.
(1)如图1,当CE=3时,求OF的长;
(2)如图2,当点E在线段BC上运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1992ec363d44730c5e658445fa27d5e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1992ec363d44730c5e658445fa27d5e0.png)
(3)连接BO,当BO将△OEF分成两部分面积之比为1:2时,求BE的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/edbb9e6d-3e43-4e39-8e4f-80eeb042b418.png?resizew=367)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】宝轮寺塔——中国四大回音建筑之一,位于三门峡市陕州风景区,始建于隋唐时期,因能发出“呱呱”的声音而俗称“蛤蟆塔”.当地某校数学实践活动小组的同学们一起对该塔的高度(
)进行测量.因塔底部
无法直接到达,制定了如下的测量方案:先在该塔正前方广场地面
处测得塔尖
的仰角(
)为45°,因广场面积有限,无法再向
点的正后方移动,故操控无人机飞到
点正上方10米的
处测得塔尖
的仰角为32°,
,
,
,
四点在同一个平面内,求塔高(
)为多少米.(结果精确到0.1米,参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/f52a58fbaf4fea03567e88a9f0f6e37e.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://img.xkw.com/dksih/QBM/2021/5/28/2730821173362688/2741473868832768/STEM/a6493c72-cf02-4958-8f54-276742d940d9.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】如图所示,无人机在生活中的使用越来越广泛,小明用无人机测量大楼的高度.无人机悬停在空中
处,测得楼
楼顶
的俯角是
,楼
的楼顶
的俯角是
,已知两楼间的距离
米,楼
的高为10米,从楼
的
处测得楼
的
处的仰角是
.(
、
、
、
、
在同一平面内).
的高;
(2)小明发现无人机电量不足,仅能维持60秒的飞行时间,为了避免无人机掉落砸伤人,站在
点的小明马上控制无人机从
处匀速以5米/秒的速度沿
方向返航,无人机能安全返航吗?
![](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/5963abe8f421bd99a2aaa94831a951e9.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05374b01721eb2a23c1e3834a511cbc2.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)小明发现无人机电量不足,仅能维持60秒的飞行时间,为了避免无人机掉落砸伤人,站在
![](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/1642eec556eb252de9c1ab7bb5ca90b3.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
真题
名校
【推荐2】随着科技的发展,无人机已广泛应用于生产和生活,如代替人们在高空测量距离和角度.某校“综合与实践”活动小组的同学要测星AB,CD两座楼之间的距离,他们借助无人机设计了如下测量方案:无人机在AB,CD两楼之间上方的点O处,点O距地面AC的高度为60m,此时观测到楼AB底部点A处的俯角为70°,楼CD上点E处的俯角为30°,沿水平方向由点O飞行24m到达点F,测得点E处俯角为60°,其中点A,B,C,D,E,F,O均在同一竖直平面内.请根据以上数据求楼AB与CD之间的距离AC的长(结果精确到1m.参考数据:
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35de80a7ce0aa2a4f805082b383815d8.png)
您最近一年使用:0次