如图,小明为了测量一大楼的高度,在地面上放一平面镜,镜子与大楼的距离
,他与镜子的距离
是
时,刚好能从镜子中看到楼顶
,已知他的眼睛到地面的高度
为
,结果他很快计算出大楼的高度
,你知道有多高吗?请加以说明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f453318cc9174f81aa31b52b2330fef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f5889ae7aa13ad09b3cdb4f7f89ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e504b2efc56d84e80be3fffc975c285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/4/0df408c6-1b78-4667-a54b-2f6eda47339b.png?resizew=187)
更新时间:2024-03-04 12:29:17
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相似题推荐
解答题-作图题
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【推荐1】如图,已知正方形
,点E在边
上,连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/e7261b1d-da83-47b0-b91e-1bfd5da102eb.png?resizew=132)
(1)利用尺规在
上求作一点F,使得
.(不写作法,保留作图痕迹)
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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(1)利用尺规在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5b562e18c78e6186c75d5df12bf4b10.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aac124b0f89ceddea9cd2fb243477f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
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解答题-证明题
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【推荐2】如图,在⊙
中,直径
与弦
相交于点
,连接
、
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/51c7577f-3317-4724-8ecb-8a15617d0adf.png?resizew=206)
(1)求证:
;
(2)连接
,若
,
,求⊙
的半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/51c7577f-3317-4724-8ecb-8a15617d0adf.png?resizew=206)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27ea477915717f748f9f86608029343.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68e744f480e11f588570c5d6738799f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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解答题-问答题
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【推荐1】《周髀算经》中记载了“偃矩以望高”的方法.“矩”在古代指两条边呈直角的曲尺(即图中的
).“偃矩以望高”的意思是把“矩”仰立放,可测量物体的高度.如图,点
,
,
在同一水平线上,
和
均为直角,
与
相交于点
.测得
,
,
,求树高
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd4e2d455b2723bfe9f90029cacd6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/3fb7919e-e572-4c50-9bd4-8cdc99dbf2ba.png?resizew=174)
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解答题-作图题
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【推荐2】如图,小亮利用所学的数学知识测量某旗杆AB的高度.
![](https://img.xkw.com/dksih/QBM/2021/9/20/2812057229877248/2812256092528640/STEM/ce470a08-da43-482f-ad58-3b8667f32f33.png?resizew=178)
(1)请你根据小亮在阳光下的投影,画出旗杆AB在阳光下的投影.
(2)已知小亮的身高为1.72m,在同一时刻测得小亮和旗杆AB的投影长分别为0.86m和6m,求旗杆AB的高.
![](https://img.xkw.com/dksih/QBM/2021/9/20/2812057229877248/2812256092528640/STEM/ce470a08-da43-482f-ad58-3b8667f32f33.png?resizew=178)
(1)请你根据小亮在阳光下的投影,画出旗杆AB在阳光下的投影.
(2)已知小亮的身高为1.72m,在同一时刻测得小亮和旗杆AB的投影长分别为0.86m和6m,求旗杆AB的高.
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