1 . 在
中,
是
边上一点,
,若
,且
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/8a7e75d7342e6f087370d09181b17a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209f63f49bc1579727e2cf4a9c9b03ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f63d194aa0d4091618b6f41f569ee2.png)
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2024-04-20更新
|
637次组卷
|
3卷引用:第27题 解三角形基于边角转化,几何向量解析锦上添花(优质好题一题多解)
名校
解题方法
2 . 在锐角
中,内角
所对的边分别为
,设向量
且
,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/d71369a27f089f4f5f38ac1133fa9661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a53cdfd02f840f55c72dbb4d0607c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5794faca777fde76c94956e03e71097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
3 . 在
中,角
的对边分别为
边上的高等于
,则
的面积是__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
__________ .
![](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/da75f00cfe5ed9010f0afdba14372e5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/884a81f5d952786877f3515c8c8bc9f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
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2024-04-12更新
|
893次组卷
|
3卷引用:第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)
(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)山东省菏泽第一中学人民路校区2024届高三下学期3月月考数学试题2024届浙江省丽水、湖州、衢州三地市二模数学试卷
名校
4 . 在锐角
中,
,
,
分别是角
,
,
的对边,
且
,则
面积的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c22b51ecd2e4e4fc2103e377a72fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024·全国·模拟预测
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解题方法
5 . 若
的内角
的对边分别为
,
,
,点
在边
上,
且
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
______ .
![](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/437e317b149fc5dabdff863183363e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61676d5ede7f4b50e93be03ecdcedd8.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/5c52b857c7ca55dfa6da108df1d3cee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f517953a21c2a45fd8465072c44bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f944a4a8126946a36cef43f74dec2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ec5d678ec42846e1d28301e3bfd4be.png)
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6 . 在
中,角A,B,C的对边分别是a,b,c,已知
,且
的面积为
,则
的内切圆的半径为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c30c196f7c596219bb1ab4bb8eab31ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-10更新
|
775次组卷
|
9卷引用:5.5 正余弦定理(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)
(已下线)5.5 正余弦定理(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)专题22 正弦定理、余弦定理(已下线)专题11.2正弦定理-重难点突破及混淆易错规避(苏教版2019必修第二册)河南省焦作市2021届高三四模数学(文科)试题河南省2021届高三阶段性测试(六)文科数学试题辽宁省沈阳市级重点高中联合体2020-2021学年高一下学期期末考试数学试题江西省南昌市豫章中学2022届高三入学调研(A)数学(理)试题河南省濮阳市2021届高三二模数学(文)试题辽宁省大连市庄河市高级中学2021-2022学年高二上学期10月月考数学试题
名校
解题方法
7 . 在
中,
是
的角平分线,且
的面积为1,当
最短时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bed0049999726e62b5b3142bf924fd.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a20f5714a4e19c73eef7d904c40b362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bed0049999726e62b5b3142bf924fd.png)
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2024-04-10更新
|
1123次组卷
|
4卷引用:【练】专题4 解三角形的范围(最值)问题(压轴小题)
(已下线)【练】专题4 解三角形的范围(最值)问题(压轴小题)安徽省池州市第一中学2024届高三第一次模拟联合检测数学试题河南省实验中学2023-2024学年高一下学期期中考试数学试题辽宁省东北育才学校科学高中部2023-2024学年高一下学期期中考试数学试题
名校
解题方法
8 . 锐角
中,内角A,B,C所对的边分别为a,b,c,且
,若
,则
面积S的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a865a456da9c5d876f6674b790695f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
解题方法
9 . 已知
的内角A,B,C的对边分别为a,b,c,M是边BC边上一点,
,
,且
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3713697de3a81a802ab94efb9c26e7b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bf5c4170800740c27502877bea8ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810fee760e06028fb7d37e65db79bfa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a32555d3e1c4683babd19113e25065.png)
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2024-04-03更新
|
263次组卷
|
3卷引用:9.1.1正弦定理-同步精品课堂(人教B版2019必修第四册)
(已下线)9.1.1正弦定理-同步精品课堂(人教B版2019必修第四册)山西省运城市盐湖区运城南风学校2023-2024学年高一下学期3月月考数学试题广东省深圳市名校联考2023-2024学年高一下学期4月期中考试数学试题
解题方法
10 . 记
的内角
的对边分别为
,其外接圆半径为
,且
,则角
大小为_______ ,若点
在边
上,
,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/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1d3636e4fe66947f2856dc3d13b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df4a8872069c45cfefe604e69073898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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