郑北大桥横跨亚洲最大铁路编组站,该桥为独塔双索面钢混结合梁斜拉桥,是国内同类型桥中桥面最宽的结合梁斜拉桥.某数学“综合与实践”小组的同学把“测量郑北大桥的某组斜拉索最高点到桥面的距离作为一项课题活动,进行了探究,具体过程如下:
和
的度数,并量出
的距离,即可解决问题:
【数据收集】
米,测角仪
和
的高度为1.5米;
【问题解决】求郑北大桥某组斜拉索最高点C到桥面
的距离.(结果保留整数.参考数据:
,
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d19f963f7c803bcfcbb265ec6d4304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a71e8a816d9ef65d4bffd81fd53216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
【数据收集】
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8da7ed356dade167028a5555a28564c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
【问题解决】求郑北大桥某组斜拉索最高点C到桥面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc714fe6656552ae227332550756a620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b8e784cfcf697083f5a1bef0baa7cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0062f4f00732a0cf11d1ac145c218b.png)
更新时间:2024-02-15 21:18:52
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【知识点】 解直角三角形的相关计算解读
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【推荐1】如图,在等腰△ABC中,AB=BC,∠A=30°,O为线段AC上一点,以O为圆心,线段OC的长为半径画圆恰好经过点B,与AC的另一个交点为D.
(1)求证:AB是圆O的切线;
(2)若⊙O的半径为1,求图中阴影部分的面积.
(1)求证:AB是圆O的切线;
(2)若⊙O的半径为1,求图中阴影部分的面积.
![](https://img.xkw.com/dksih/QBM/2020/12/21/2618709105025024/2623238960300032/STEM/4c37780edc11474db4a6178bb429199b.png?resizew=175)
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(0.65)
名校
【推荐2】如图,在
中,
,
,
圆心
在
内部
经过
、
两点,并交
于点
,过点
作
的切线交
于点
延长
交
于点
,作
交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/5c344164-6f30-4e7a-b87e-8142b31d1501.png?resizew=147)
(1)求证:四边形
是平行四边形;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af00a2603bb1c492527537d60949c76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5bd5abb17f9b165312476bcafb74657.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/5c344164-6f30-4e7a-b87e-8142b31d1501.png?resizew=147)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
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