名校
1 . 如图,
,
,
为山脚两侧共线的三点,在山顶
处测得这三点的俯角分别为
,
,
,现计划沿直线
开通一条穿山隧道
,经测量
m,
m,
m.
![](https://img.xkw.com/dksih/QBM/2021/5/13/2720310018605056/2720901185011712/STEM/62479fb9-7362-4e50-aa58-cae5f2a7dbb9.png?resizew=384)
(1)求
的长;
(2)求隧道
的长(精确到1m).
附:
;
.
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c96cb3ac8290e09c55d4eb336a8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d5a9690d02c2b1e6bbd6fd05225c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68abcbf1e98c4a3f7119d922ec629da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcb5be5033e9bd4c2f58798a651e3f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9699cd0fcbe43767bd10232681b0e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a453eea7193e6a45b1138f11df3460.png)
![](https://img.xkw.com/dksih/QBM/2021/5/13/2720310018605056/2720901185011712/STEM/62479fb9-7362-4e50-aa58-cae5f2a7dbb9.png?resizew=384)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)求隧道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52881be613aa404e553da30d8987cfad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
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2021-05-14更新
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6卷引用:新疆喀什第二中学2021-2022学年高一3月月考数学试题