山西“应县木塔”,又名山西“应县佛宫寺释迦塔”,它是当今世界上的第一奇塔.它不仅是中国,而且是世界上现存最古老、最高峻的木构建筑物,所以它在世界建筑中占有突出的地位.已知“应县木塔”的高度
为
米,塔前“女神雕像”的高度
为
米,木塔与雕像之间有障碍物,不能直接测量,某测量小组为了测量“应县木塔”与塔前“女神雕像”之间的距离,采用了如下测量方案(如图所示):
,测得“木塔”顶部
的仰角为
,测得“雕像”顶部
的仰角为
;
②测得测角仪的高度
为1.3米;
③测得点
在同一条直线上,
,垂足分别是
.
求“应县木塔”与塔前“女神雕像”之间的距离
.(结果精确到
米,参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa0aaa290b10a8ebf58d9e6dcbd4cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d266fdc1e177664254bfaac04bd6bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
②测得测角仪的高度
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
③测得点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e308f55bb6e540255758d2519ee30f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9983b3f9fd6d84bd1d9b23149ed5fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e308f55bb6e540255758d2519ee30f83.png)
求“应县木塔”与塔前“女神雕像”之间的距离
![](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/b8a7ff6bb8000946da9599d7d903ac9a.png)
2024·山西朔州·一模 查看更多[3]
2024年山西省朔州市应县多校中考一模数学试题贵州省黔西南布依族苗族自治州兴仁市真武山街道办事处黔龙学校2023-2024学年九年级下学期3月月考数学试题(已下线)专题06 解直角三角形的应用(仰角俯角、坡度、方位角等问题)-2024年中考数学二轮热点题型归纳与变式演练(全国通用)
更新时间:2024-03-01 14:28:56
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【推荐1】如图,在△ABC中,AB=10,BC=8,AC=6.点D在AB边上(不包括端点),DE⊥AC,DF⊥BC,垂足分别为点E和点F,连结EF.
(1)判断四边形DECF的形状,并证明;
(2)线段EF是否存在最小值?如果存在,请求出最小值;如果不存在,请说明理由.
(1)判断四边形DECF的形状,并证明;
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【推荐2】如图,在四边形
中,
,
,
,
,
,动点
从点
出发,以
的速度向终点
运动,同时动点
从点
出发,以
的速度沿折线
向终点
运动,其中一个动点到达端点时,另一个动点也随之停止运动,设运动时间为
秒.
为何值时,直线
把四边形
分成两个部分,且其中的一部分是平行四边形?
(2)只改变点
的运动速度,使运动过程中某一时刻四边形
为菱形,则点
的运动速度应为多少?
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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(2)只改变点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d96e428931b19cf639d3e0f26ebe23.png)
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【推荐2】如图,某数学兴趣小组想测量一棵树
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处观察树顶
,测得视线与水平线的夹角为
(即
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处,在
处观察树顶
,测得视线与水平线的夹角为
(即
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,
,
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名校
【推荐3】北京时间2022年6月5日10时44分,搭载神舟十四号载人飞船的长征二号
遥十四运载火箭在酒泉卫星发射中心点火发射,约
秒后,神舟十四号载人飞船与火箭成功分离,进入预定轨道,顺利将陈东、蔡旭哲、刘洋3名航天员送入太空.如图是模拟的火箭发射装置示意图,一枚运载火箭从地面
处发射,当火箭到达
点时,从位于地面
处的雷达站测得
的距离是
,仰角为
;约
后火箭到达
点,此时测得仰角为
(参考数据:
,
,
).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/fcd476da-c17d-42a6-ae44-4a2c595de5ae.png?resizew=165)
(1)求地面雷达站
到发射处
的水平距离.
(2)求这枚火箭从
到
的平均速度是多少千米/秒?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/fcd476da-c17d-42a6-ae44-4a2c595de5ae.png?resizew=165)
(1)求地面雷达站
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)求这枚火箭从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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