解题方法
1 . 已知
,
,
分别为
的三个内角
,
,
的对边,且
.
(1)求角
;
(2)若
,
的面积为
,求
,
.
![](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/15c0dbe3c080c4c4636c64803e5c1f76.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/d1f5cd17b8d905dc357a1fc1509d3076.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.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/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2018-01-06更新
|
1209次组卷
|
5卷引用:广西防城港市2018届高中毕业班1月模拟考试数学(文)试题
广西防城港市2018届高中毕业班1月模拟考试数学(文)试题西藏拉萨市2018届高三第一次模拟考试(期末)文科数学试题(已下线)二轮复习测试专项 【新课标版理科数学】专题三 三角函数与平面向量(已下线)二轮复习测试专项 【新课标版文科数学】专题三 三角函数与平面向量重庆市乌江新高考协作体2022-2023学年高一下学期期末数学试题
解题方法
2 . 在
中,角
,
,
的对边长分别为
,
,
,
的面积为
,且
.
(1)求角
的大小;
(2)若
,且当
时,
取得最大值
,试求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/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/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1dda441b15078e74a7c236f4029797c.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cfa985a2044098c2e85c3e57102a8d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dadfd5e0495edcfbd6858e7b1fe95c07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2017-12-15更新
|
1191次组卷
|
3卷引用:2016届山东师大附中高三上学期二模文科数学试卷
名校
3 . 已知在△
中,角
的对边分别为
,且有
.
(1)求角
的大小;
(2)当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90245daadce4a784a507430a3d07ddfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0f5f508629d717f5576128ca84cdec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db09e56b38eefebf1e98662cc07f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f87c4fae6231d21493ef90c64e16dd.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f015ed8e497b4394053ddd19683a98f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbeb0578eb1916130b0e1c4167a680a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411820c8e4da2a68394f29eec8e9bb6e.png)
您最近一年使用:0次
2017-12-07更新
|
2674次组卷
|
9卷引用:河北省衡水市2018届高三高考模拟联考理数试题
河北省衡水市2018届高三高考模拟联考理数试题辽宁省凌源市2018届高三毕业班一模抽考数学(理)试题甘肃省天水市第一中学2017-2018学年度下学期高三第二次模拟 考试 数学(文科)试题甘肃省天水市第一中学2017-2018学年度下学期高三第二次模拟 考试 数学(理科)试题(已下线)2018年5月28日 押高考数学第17题(2)——《每日一题》2018年高三文科数学四轮复习(已下线)2018年5月28日 押高考数学第17题(2)——《每日一题》2018年高三理科数学四轮复习重庆市綦江实验中学校2017-2018学年高一下学期半期考试数学(理)试题.(已下线)2019年5月27日 《每日一题》(理数)四轮复习—— 押高考数学第17题(2)(已下线)2019年5月27日 《每日一题》(文数)四轮复习—— 押高考数学第17题(2)
名校
解题方法
4 . 设锐角三角形
的内角
的对边分别为
,
.
(1)求
的大小;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04a2f09a6d56ce328f0fa843ef8fa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85a5d6c5aeb72c7408558e76f0d308f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a48d9fc48e8ea28ffeec8d440537c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0e26d4d5bf591e9ec3692db019a09a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1e8babee63bfc889ae5a34632284bc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8385b075c002cc408de9ca4b75607c0.png)
您最近一年使用:0次
2017-05-09更新
|
3075次组卷
|
7卷引用:江西省重点中学盟校2017届高三第二次联考数学(理)试题
名校
5 . 在
中,角
所对边分别为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ac99086a295deea0c1c3a9befa98fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a96736c58129fd8542408ca2439fba3.png)
的面积为6.
(Ⅰ)求
的值;
(Ⅱ)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ac99086a295deea0c1c3a9befa98fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a96736c58129fd8542408ca2439fba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffdb513e6877c6c58cc60136c954259.png)
您最近一年使用:0次
2017-04-27更新
|
2223次组卷
|
2卷引用:2017届山西省运城市高三4月模拟调研测试数学(文)试卷
解题方法
6 . 在
中,
,
,
分别是角
所对的边,
是
边上靠近点
的三等分点,
.
(1)若
,求
;
(2)若
,求
的面积.
![](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/24e0c10fb103930eabd5fa18e8f9bb06.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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/078a254e0b7245d9c186b6a4636e3266.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2776c3a56a586157a921befeb02ee91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90553c5662ac609b6e75101bf9daec2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7 . 在
中,内角
的对边分别为
,已知
,且满足
.
(1)求边长
;
(2)若
是锐角三角形,且面积
,求
外接圆的半径
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bbc753834bd0d34f7c65324e82e941f.png)
(1)求边长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f9cec3208e36c047d6e279fe2737f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
您最近一年使用:0次
8 . 已知
分别为
三个内角
的对边,且
.
(1)求
;
(2)若
,
的面积为
,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d01d2956b453f7a29b4221cee240dbc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783d6adfa8fb1352679c5185258d842a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
9 . 在
中,角
,
,
所对的边分别为
,
,
,且
.
(1)求
的值;
(2)若角
为锐角,
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/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/ded2fbeb9328818f72f13b2f986ad79a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62f140d8587e6e35e01da1bbdefc53e.png)
(2)若角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627716ebb8373deb10a83107453519ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d71d6115e19ea2c96771f565ce9a5c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2017-03-24更新
|
1687次组卷
|
3卷引用:广西南宁市2017届高三第一次适应性测试数学(理)试题
10 . 如图,在
中,
,
,
,点
在线段
上,且
.
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572085123153920/1572085129109504/STEM/3e4eef6df8384847b9a4c938fa03e35d.png)
(Ⅰ)求
的长;
(Ⅱ)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0afeac40dcde1888c35758b4581a865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.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/6b16bdd93abe90e02f0d7da8bfb4894b.png)
![](https://img.xkw.com/dksih/QBM/2015/4/29/1572085123153920/1572085129109504/STEM/3e4eef6df8384847b9a4c938fa03e35d.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d48a7bb8310692ed00f2faa235a1890.png)
您最近一年使用:0次