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解题方法
1 . 龙光塔始建于明朝万历二年,位于无锡市锡山山顶,如图,某学习小组为了在塔外测量龙光塔的高度,在与塔底B水平的C处测量得塔顶A的仰角为
.受锡山地形所限,他们沿斜坡从C点下行14米到达D点(与A,B,C共面)后,测量得塔顶A的仰角为
.已知C,D两点的海拔高度差为2米.
,计算
的余弦值;
(2)计算龙光塔的高度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
(2)计算龙光塔的高度.
您最近一年使用:0次
2023-07-02更新
|
698次组卷
|
5卷引用:江苏省无锡市天一中学2022-2023学年高一下学期期末数学试题(理强)
2 . 夜晚,在侨中
栋5楼观赏完美大厦的霓虹灯是一件很惬意的事.完美大厦主楼目前是我市中心城区最高的地标性建筑.某学习小组要完成两个实习作业:验证百度地图测距的正确性及测算完美大厦主楼的高度,如图(1),博爱路沿线的水平路面上有两点
,
,其中
指向正西方向.首先利用百度地图测距功能测出
长度为
,接着在南外环沿线选定水平路面上可直接测距的
,
两点,测得
,
,
,
,学习小组根据上述条件计算出
长度,并将其与
的实际长度
进行比较,若误差介于
米~20米之间,则认为百度地图测距是准确的.
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772135803617280/2776281835683840/STEM/bc02d623-467c-4205-802f-b854c370349f.png?resizew=483)
(1)通过计算说明百度地图测距是否准确?(
)
(2)如图(2),小组在
处测得完美大厦主楼楼顶
在西偏北
方向上,在
处测得楼顶
在西偏北
方向上,且仰角
;通过计算得
,
,
,若百度地图测出的
是准确的,请根据以上数据测算完美大厦主楼的高度(精确到1米).
![](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/7f9e8449aad35c5d840a3395ea86df6d.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/a26016c9a610be4da74086a37c3327d8.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/474f34c6dc5621acad72270d2a49255d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2bdcd23d2c26d9df0b4756d8a715673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fe532cad7a1f9279d58874aa4def00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9228b213dc6b256b752b38a466ebec93.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/d819daa9e169471fc02581047e36502d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79ef63ad7b61f3fae0ac81148e7700ff.png)
![](https://img.xkw.com/dksih/QBM/2021/7/26/2772135803617280/2776281835683840/STEM/bc02d623-467c-4205-802f-b854c370349f.png?resizew=483)
(1)通过计算说明百度地图测距是否准确?(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
(2)如图(2),小组在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952fe36814f6af5d333ffd08051d832d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6b991576e4ed0a98cdccfe93253f74d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d403384679e6f362c3b906fff0e398f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/146008006421a1ab514dc729275800cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1dac31fb8c5cd0436e12fde15a9f2c.png)
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