名校
解题方法
1 . 在
中,设
所对的边分别为
,且
,则以下结论正确的有__________ .
①
;②
;③
;④
;⑤
.
![](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/d1c6a5188c0385b7938bc69aa33c8207.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c979522360cfb57d021f796b56f509f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11a01870ebcd7fbaf6aca7885b45feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0bb98a9e9cf7b886087256890e4934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05613af4007489fb8ed0c1ea872c48b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c447118c30ce600eb20d77e6ff94312b.png)
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名校
解题方法
2 . 在
中,a,b,c分别为内角A,B,C所对的边,且满足
,
,则
的面积是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0f2415692d46b17f6dd1d331d0ee110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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3 . 已知双曲线
的左、右焦点分别为
,
,过点
的直线与
的右支交于
,
两点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d2b05d20e954445dd0f4b373830f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.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/d9820b6dcaa1b9f65155fd2261f0da03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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4 . 抛物线
的焦点为
,准线为
为
上一点,以点
为圆心,以
为半径的圆与
交于点
,与
轴交于点
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590df4979901489b0f96c4a88c519e5d.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e70c1b8951fdf7c6802ce0e92a0ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f20a5abdb5deef164c7d633c2c8fce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb21011ea821b91d539cb763aac649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba98522ceb37043405a417e8cd27edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590df4979901489b0f96c4a88c519e5d.png)
您最近一年使用:0次
名校
解题方法
5 . 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
|
1079次组卷
|
4卷引用: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
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(已下线)【练】专题4 解三角形的范围(最值)问题(压轴小题)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
解题方法
6 . 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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7 . 已知椭圆
的左、右焦点分别为
为坐标原点,点
在
上,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be68669e8cde95b6f844477a2acfb1e3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36813cb202ce58fe040236436b1d8dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447120a38d5e15d7a01d36231d648d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5918ee27201b342fab2009e7f9d12da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be68669e8cde95b6f844477a2acfb1e3.png)
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2024高三·广东·专题练习
名校
解题方法
8 . 已知
是锐角三角形,内角A,B,C所对应的边分别为a,b,c.若
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8e5ce6c55a720a332a08c07f1a89a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229143db4bbe2991164a32188410fcdc.png)
您最近一年使用:0次
2024-03-11更新
|
1587次组卷
|
8卷引用:安徽省合肥一六八中学2024届高三下学期检测(一)数学试题
安徽省合肥一六八中学2024届高三下学期检测(一)数学试题(已下线)黄金卷02(2024新题型)(已下线)6.4.3余弦定理、正弦定理(第3课时)江苏省新海高级中学2023-2024学年高一下学期学情检测一数学试题(已下线)高一下学期期中复习填空题压轴题十七大题型专练(1)-举一反三系列(人教A版2019必修第二册)江苏省扬州市邗江中学2023-2024学年高一下学期期中测试数学试题江苏高一专题04解三角形(第一部分)(已下线)第九章:解三角形章末重点题型复习--同步精品课堂(人教B版2019必修第四册)
名校
解题方法
9 . 在
中,
,且
,则
的面积为__________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e73987a2c6cdfccbe14a29d95e5db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3578b63c5903089595bf324c809a997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
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2024-02-25更新
|
1018次组卷
|
6卷引用:安徽省部分省示范高中2024届高三开学联考数学试卷
安徽省部分省示范高中2024届高三开学联考数学试卷(已下线)压轴小题2 正余弦定理在平面图形中的应用(已下线)6.4.3 第2课时 正弦定理【第二练】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题10 余弦定理 正弦定理-《重难点题型·高分突破》(苏教版2019必修第二册)(已下线)专题08 余弦定理 正弦定理(1)-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)专题03 解三角形问题总结-《期末真题分类汇编》(江苏专用)
名校
解题方法
10 . 若正四面体
的顶点都在一个表面积为
的球面上,过点
且与
平行的平面
分别与棱
交于点
,则空间四边形
的四条边长之和的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997b5842f3d4eae1989debee9ae41b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df7fc746f8c4801d8f2f0471ba3297e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28d6477c85c5a4ac410a884e92fbe53.png)
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2024-02-21更新
|
1281次组卷
|
5卷引用:安徽省部分学校2023-2024学年高三下学期春季阶段性检测数学试题