△ABC的内角
的对边分别为
,且满足:
.
面积为
,外接圆直径为4,则
的周长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d68aa5c54b903306c476dacbb04dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3dcbb853e4b9fd1d011bd5f1948018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
2023高三上·全国·专题练习 查看更多[2]
更新时间:2023-12-19 23:04:43
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【推荐1】如图,为了测量山高BC,分别选择山下平地的A处和另一座山的山顶M处为测量观测点.从A点测得M点的仰角
,C点的仰角
以及
,从M点测得
,已知山高
米,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2952b68243e0fd29a7178208e3d46da8.png)
________ ,山高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a42ac94c7c00b01d34a39e72cc4ee517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab926d89b65f26c12e3da73ef1e5cf68.png)
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【推荐2】在
中,
,点
在边
上,若
,
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3b05cb6c22735d3d15ae3ca31971b3e.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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【推荐1】正三角形
的边长为2,
分别在三边
上,
为
的中点,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86bcfb91bf2911f80be6a2dcf42ae3aa.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927456b0989846a2f1573844bbaa2105.png)
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【推荐2】在
中,角
的对边分别为
,且满足
,则角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
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【推荐1】在四边形
中,
,
,
,
,则四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79bf1b707d40ed30fe4a8a96393b66fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9d26aa29b3abf4889d939987d5f091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022365ed188bd800e0b8a2b4ec1e2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8992b4d58ea1efb2940a5047f54c7612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图,设
的内角
所对的边分别为
,
,且
,若
是
外一点,
,
,则当四边形
的面积最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e59387b95b56a4f676bc8dbf3dc24c.png)
______ .
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【推荐1】在我国古代数学名著《九章算术》中,将四个面都为直角三角形的四面体称为鳖臑.如图,在鳖臑
中,
平面
,其三视图是三个全等的等腰直角三角形,则异面直线
与
所成的角的余弦值为______ .
![](https://img.xkw.com/dksih/QBM/2020/7/15/2506613101592576/2506655623110656/STEM/c1f00f57119e4148841f7c197796ff3f.png?resizew=262)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f9157fce2a8339d281178c7c0bccbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
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【推荐2】在△ABC中角A、B、C所对的边分别为a、b、c,若bc=1,b+2ccosA=0,则当角B取得最大值时,△ABC的周长为_______ .
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