随着人民生活水平的日益提高,许多农村的房屋普遍进行了改造,小明家改造时在门前安装了一个遮阳棚,如图,在侧面示意图中,遮阳篷
长为4米,与墙面
的夹角
,靠墙端A离地高
为3米,当太阳光线
与地面
的夹角为
时,求阴影
的长.(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/03902478df1a55bc99703210bccab910.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e3e0a13d718fb28f34a7e0d25d18c0.png)
23-24九年级上·上海金山·期末 查看更多[6]
上海市金山区2023-2024学年九年级上学期期末(一模)数学试题山西省运城市2023-2024学年九年级上学期期末联考数学试题(已下线)专题08 锐角三角函数相关(16区66题)-2024年中考数学一模试题分类汇编(上海专用)(已下线)专题09 解直角三角形的应用16道(解答题第22题)-2024年中考数学一模试题分类汇编(上海专用)(已下线)数学(南京卷)-学易金卷:2024年中考第一次模拟考试2024年辽宁省初中学业水平数学模拟预测题(一)
更新时间:2024-01-13 10:01:15
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【推荐1】如图是放在水平桌面上的手机支架图和截面示意图.已知手机支架底座是矩形
,固定杆
于点
,A到水平桌面的距离为
,调节杆
长为
,旋转杆
长为
,经调试发现,当
,
,时,手机恰能俯拍画面,求此时点
到桌面的距离.(结果精确到
,
,
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
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【推荐2】如图,为测量旗杆
的高度,在教学楼的一楼
点处测得旗杆顶部仰角为60°,在四楼的
点处测得旗杆顶部仰角为30°,点
与点
在同一水平线上.已知
m,求旗杆
的高度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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名校
【推荐1】我国是世界上最早发明历法的国家之一,《周礼》中记载:垒土为圭,立木为表,测日影,正地中,定四时,如图1,圭是地面上一根水平标尺,指向正北,表是一根垂直于地面的杆,正午,表的日影(即表影)落在圭上,根据表影的长度可以测定节气.
,向正北方向画一条射线
,在
上取点
,测得
,
.
(1)判断:这个模型中
与
是否垂直.答:______(填“是”或“否”);你的理由是:______.
(2)利用这个圭表模型,测定某市冬至正午阳光与日影夹角
,夏至正午阳光与日影夹角为
,请求出这个模型中该市冬至与夏至的日影的长度差(结果保留根号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21a42211a23bd5af7c5733edc0096878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660fba5f3f55137e7af353a07001f569.png)
(1)判断:这个模型中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)利用这个圭表模型,测定某市冬至正午阳光与日影夹角
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【推荐2】图1是笔记本电脑放在散热支架上的实物图,实物图的侧面可抽象成图2,结点B,C,D处可转动,支撑架AB=BC=CD=28cm,面板DE=28cm,若DE始终与AB平行.
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(1)直接写出∠ABC,∠BCD,∠CDE之间的数量关系;
(2)若
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