如图,长500米的水库大坝的横断面是梯形,坝顶宽
,斜坡AB的坡比
,斜坡CD的坡比
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/d6515948-9b37-4f99-8802-78fb77df1b4c.png?resizew=287)
(1)求坝底宽
的长;
(2)修筑这个堤坝需要土方多少立方米?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9198a04c7a48105c42b3c42a63fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e74984d0428607da3d86fb4139cd843.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/d6515948-9b37-4f99-8802-78fb77df1b4c.png?resizew=287)
(1)求坝底宽
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)修筑这个堤坝需要土方多少立方米?
22-23八年级下·浙江温州·阶段练习 查看更多[2]
浙江省温州市五校联考2022-2023学年八年级下学期第一次月考数学试题(已下线)专题03 三角函数实际应用(四大类型)(题型专练)-2023-2024学年九年级数学下册《知识解读·题型专练》(浙教版)
更新时间:2023-09-23 09:37:20
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【知识点】 坡度坡比问题(解直角三角形的应用)
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解答题-问答题
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【推荐1】如图,某大楼的顶部竖有一块广告牌CD,小李在山坡的坡脚A处测得广告牌底部D的仰角为60°沿坡面AB向上走到B处测得广告牌顶部C的仰角为45°,已知山坡AB的坡度i=1:
,AB=20米,AE=30米.
![](https://img.xkw.com/dksih/QBM/2022/3/26/2944365706747904/3019639911079936/STEM/3a764b4a23a54b6da7b6b4cfe03b03e5.png?resizew=148)
(1)求点B距水平面AE的高度BH;
(2)求广告牌CD的高度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/2022/3/26/2944365706747904/3019639911079936/STEM/3a764b4a23a54b6da7b6b4cfe03b03e5.png?resizew=148)
(1)求点B距水平面AE的高度BH;
(2)求广告牌CD的高度.
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【推荐2】图1是安装在倾斜屋顶上的热水器,图2是安装热水器的侧面示意图.已知屋面AE的倾斜角
为
,长为3米的真空管
的坡度为
,安装热水器的铁架竖直管
的长度为
米.
的距离.
(2)求安装热水器的铁架水平横管
的长度(结果精确到
米).(参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e37b078d02601f76f0f8320b410809f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1de27e79e9a276238d608f828e31709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cf4f332f274a19679328feb021a4a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)求安装热水器的铁架水平横管
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87796ee30e6c5d5e6b6285b32abe10c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a6838c68ce0b6821536d4e168d4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f49328408982f411cd32c5326289997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd98024ad349f4c2250777cbe38c47b.png)
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