在高为60米的小山上,测得山底一座楼房的顶端和底部的俯角分别为30°和60°,则这座楼房的高为________ 米.
![](https://img.xkw.com/dksih/QBM/2015/9/9/1573911143153664/1573911148666880/STEM/4dc7dac1cd5b44ef88346f493ab1c4f3.png?resizew=141)
更新时间:2016-12-05 18:33:20
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【知识点】 解直角三角形的相关计算解读
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适中
(0.65)
【推荐1】在
中,
是
上的动点(
异于
、
),过点
的直线截
,使截得的三角形与
相似,我们不妨称这种直线为过点 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
的 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
的相似线 ,简记为
(
为正整数).
![](https://img.xkw.com/dksih/QBM/2021/9/6/2802336680067072/2802423397564416/STEM/28cc79a50bd4464f8ae702689a63f852.png?resizew=336)
(1)如图①,
,
,当
时,
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5256ecf8df190c809928939c106e7c.png)
都是 过点
的
的相似线(其中
,
),此外,还有________ 条;
(2)如图②,
,
,当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaca06422a486e0a8154ea89af2524c4.png)
________ .时,
截得的三角形面积为
面积的
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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(1)如图①,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147dfd43eecb46c7d10a14f670041b3f.png)
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(2)如图②,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
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适中
(0.65)
【推荐2】如图,在
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