解题方法
1 . 下面两图是正四面体与它的外接球被过球心的平面所被形成的截面图,图①中的三角形为正三角形,其面积为
,图②中三角形的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a39f04d1c3551403dbbed35deb01232.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/4/68ee44af-555e-42ec-b6c2-1449c8553b04.png?resizew=233)
您最近一年使用:0次
名校
2 .
中,
,
在
上,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512155df2661d466435cb5b423a86774.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ae594d5c759916fc5bef386a39ee97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35333abd7f02d663d15251bc5cbbf921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512155df2661d466435cb5b423a86774.png)
您最近一年使用:0次
2023-07-28更新
|
800次组卷
|
4卷引用:专题3-3解三角形压轴综合小题-1
(已下线)专题3-3解三角形压轴综合小题-1江苏省盐城市五校联盟2022-2023学年高一下学期期中联考数学试题辽宁省沈阳市东北育才学校2023-2024学年高三上学期10月联合考试数学试题(已下线)专题12 正弦定理-【寒假自学课】(苏教版2019)
3 . 已知△ABC中,角A,B,C所对应的边分别为a,b,c,且
,若△ABC的面积为
,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f2b7d207f798df744a871fcd0f5b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52981b3264e91a6a0247d0fe2c1d4d72.png)
您最近一年使用:0次
2023-07-28更新
|
258次组卷
|
3卷引用:单元提升卷06 解三角形
名校
4 . 在
中,
,
,
,则
的面积为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f289ef19c7418a898ea18747aa76e783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32513c66bca1e2d1706d50a6615df1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dbe04f6b2e96d9a74bbb3ea881baee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acd3ee01d9f843a8579ffb0b7d9d82.png)
您最近一年使用:0次
5 . 记
的内角
的对边分别为
,点
为
边三等分点(靠近C).若
,
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010bffe30406ea0e55cbfaa4d1610b4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9680bd6f250acb8b568510419b59d3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
6 . 若
的面积为
,角
的对边分别是
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](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/f6a43b0eca01142140e8ecc0a199e693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
您最近一年使用:0次
2023-07-14更新
|
373次组卷
|
3卷引用:9.1.2余弦定理-同步精品课堂(人教B版2019必修第四册)
(已下线)9.1.2余弦定理-同步精品课堂(人教B版2019必修第四册)河北省唐山市2022-2023学年高一下学期期末数学试题云南省大理白族自治州祥云县祥云祥华中学2023-2024学年高一下学期4月二调数学试题
解题方法
7 . 在
中,
所对的角分别为
,若
,则
面积的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3efc2de96f70a8888ef51682d8d452e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
8 . 在
中,已知
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
___________ ,
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f44c181a2f6ae22d5d52b374768dc57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774cd650f14c8f6e4fe0c6a432768bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2023-07-10更新
|
315次组卷
|
3卷引用:专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)
(已下线)专题04 正余弦定理4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题08解三角形(第一部分)-高一下学期名校期末好题汇编北京市通州区2022-2023学年高一下学期期末质量检测数学试题
名校
解题方法
9 . 正
的边长为1,中心为O,过O的动直线l与边AB,AC分别相交于点M,N,
,
.给出下列四个结论:
①
;
②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75a5bbeb0308c3428cc587c6e5b51b.png)
③
不是定值,与直线l的位置有关;
④
与
的面积之比的最小值为
.
其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5d70a0d31bf8f5cfbca5e88a23df80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18bf5477ab809cf5b133a045b0ea8e9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d5cce8256cbd50299a26044f05fc086.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e07c611d39260a3160ef7380df0fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f75a5bbeb0308c3428cc587c6e5b51b.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587b693b82241eb9c32cdbb96c209f33.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d86ab7c97cd8a0b15ba5efc1be94230.png)
其中所有正确结论的序号是
您最近一年使用:0次
10 . 如图是古希腊数学家希波克拉底研究的几何图形,此图由三个半圆构成,直径分别是直角三角形
的斜边
,直角边
,
,点
在以
为直径的半圆上,延长
,
交于点
.若
,
,
,则
的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.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/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f0c0a4780fa762084c92d008342c97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44e19af60e8e88de177c57bb48535bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
您最近一年使用:0次
2023-07-08更新
|
142次组卷
|
2卷引用:【人教A版(2019)】专题07解三角形(第一部分)-高一下学期名校期末好题汇编