1 . 国家边防安全条例规定:当外轮与我国海岸线的距离小于或等于
海里时,就会被警告.如图,设
,
是海岸线上距离
海里的两个观察站,满足
,一艘外轮在
点满足
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/7217abaf-c888-40d0-b009-5fc9053fb34e.png?resizew=199)
(1)
,
满足什么关系时,就该向外轮发出警告令其退出我国海域?
(2)当
时,间
处于什么范围内可以避免使外轮进入被警告区域?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.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/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9388fc4f68770ed29ebfdd5511fe5ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9d96d2dc0082bb375c3b0e7214bdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c77e76787c910985fb2409e4f53e126e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/7217abaf-c888-40d0-b009-5fc9053fb34e.png?resizew=199)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eecdfe28977b93cb6e6ffde192d898d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
2019-05-11更新
|
709次组卷
|
5卷引用:人教A版(2019) 必修第二册 突围者 第六章 第四节 课时4 余弦定理、正弦定理应用举例
2 . 已知在
中,内角
,
,
.所对的边分别为
,
,
,且满足
.
(1)求
的值;
(2)若
,
,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/81746c6c27051657abc326481e933594.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6281791f58336c2d433dfec1e3c376d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5321ef782f50670b895f93bf08b61b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-05-11更新
|
534次组卷
|
3卷引用:人教B版(2019) 必修第四册 逆袭之路 第九章 9.1.2 余弦定理(1)
3 . 在
中,角
、
、
的对边分别是
,
,
满足
.
(1)求角
的值;
(2)若
且
,求
的取值范围.
![](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/e0d47bf4ed4f77bf9a20b7d6062d6c2c.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c659396f6a0f72e213185b1ab2e198.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbef436f7a1601a076d66f6bf4466482.png)
您最近一年使用:0次
2019-05-11更新
|
1400次组卷
|
5卷引用:人教A版(2019) 必修第二册 必杀技 第6章 6.4.3 课时2 正弦定理
人教A版(2019) 必修第二册 必杀技 第6章 6.4.3 课时2 正弦定理【校级联考】浙江省杭州地区七校2018-2019学年高一下学期期中联考数学试题山东省淄博市第七中学2019-2020学年高一3月线上考试数学试题山东省青岛市胶州市实验中学2019-2020学年第二学期高一数学期中模拟检测(三)(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)
名校
4 . 如图,在
中,
,
,点
在线段
上.
(1)若
,
的面积为
,求边
的长;
(2)若
,求三角形
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f4f8020bef636dcb3b8dc5fa2bdbb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f8f01137e92c0f2e63467036ae9cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf3cfef9aef112a4d907a26c811bdcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5656661f1d7fd5b403d1dd39d1adfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753842832ac2068a7823621fd3cdf52f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/298d5263-949c-4d4b-a3ba-0350fe747f2b.png?resizew=156)
您最近一年使用:0次
2019-05-09更新
|
957次组卷
|
2卷引用:人教A版(2019) 必修第二册 必杀技 第6章 专题2 正弦定理、余弦定理的应用
名校
5 . 在
中,角
的对边分别为
,且
.
(1)求角
的大小;
(2)若函数
图象的一条对称轴方程为
且
,求
的值.
![](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/0bb26cf1c2542b4db038a1a697727362.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783516c845e11b6b6be2ba4edad8d7be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207841e14641362c76cbfe1d32d3c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cdde9cc0f44745bb9e93bca06ffd0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e5d3f49b0ee1d1eee8c8f18496ff93a.png)
您最近一年使用:0次
2019-05-09更新
|
1585次组卷
|
7卷引用:【新教材精创】9.1.1正弦定理(第2课时)练习(1)
(已下线)【新教材精创】9.1.1正弦定理(第2课时)练习(1)2019届四川省成都市第七中学高三热身考试数学(理)试题2019届四川省成都市第七中学高三热身考试数学(文)试题河北省冀州中学2018-2019学年高二下学期期末数学(理)试题四川省棠湖中学2019-2020学年高三下学期第三学月考试数学(理)试题(已下线)文科数学-2021年高考考前20天终极冲刺攻略(一)(课标全国卷) 江西省吉安市2019届高三下学期第一次模拟考试数学(理)试题
6 . 在
中,内角
所对的边分别为
,且满足
,
,
,
的面积为6.
(1)求角
的正弦值;
(2)求边长
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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a5a10f1f4312b0331ab0e2eba4045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求边长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
您最近一年使用:0次
2019-05-08更新
|
677次组卷
|
2卷引用:人教A版(2019) 必修第二册 必杀技 第6章 第6.4节综合训练
名校
7 . 在
中,内角
,
,
所对的边分别为
,
,
,
,且
.
(1)求
;
(2)若
,求
.
![](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/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69012a36c38163565a2d1ee18f2c68d1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6beb17d468d0e90f9c08a8dbbc05541.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2019-05-05更新
|
1243次组卷
|
6卷引用:人教A版(2019) 必修第二册 必杀技 第6章 6.4.3 课时2 正弦定理
名校
8 . 在平面四边形ABCD中, AB=2,BD=
,AB⊥BC,∠BCD=2∠ABD,△ABD的面积为2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/cdca1f92-18a1-4516-acf4-9a9752ece7e9.png?resizew=146)
(1)求AD的长;
(2)求△CBD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/cdca1f92-18a1-4516-acf4-9a9752ece7e9.png?resizew=146)
(1)求AD的长;
(2)求△CBD的面积.
您最近一年使用:0次
2019-05-04更新
|
1171次组卷
|
9卷引用:人教B版(2019) 必修第四册 逆袭之路 第九章 解三角形 本章整合提升
9 . 在
中,内角
、
、
的对边分别为
、
、
,且满足
.
(1)求
的值;
(2)若
,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/f4f329b92d3102ce3f109191ca97d5fe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2122e3f1e76a635e58e4d54aa594c552.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2269b631c107dac71805624b046f1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
您最近一年使用:0次
2019-05-02更新
|
1089次组卷
|
6卷引用:专题9.4 向量应用(重点练)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)
(已下线)专题9.4 向量应用(重点练)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)【全国百强校】河北省武邑中学、景县中学2019届高三上学期联考数学(文)试题【市级联考】河南省六市2019届高三第二次联考数学(理)试题2020届湖南省长沙市长郡中学高三月考(一)数学(文)试题河北省安平中学2020届高三上学期第一次月考数学(文)试题(实验部)河北省安平中学2020届高三上学期第一次月考数学(理)试题(实验部)
名校
10 . 如图,已知
的内角
,
,
的对边分别是
,
,
,且
,点
是
的中点,
,交
于点
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/f7c6ced7-7f44-4831-a99e-cb264237746b.png?resizew=121)
(1)求
;
(2)求
的面积.
![](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/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/204f624ccaf22a4224145f85fdec780a.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/68fbbd17c89f03dbb61cd6ffdb9a0344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbca07b064a3c96963cfa2ff6546ec6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/f7c6ced7-7f44-4831-a99e-cb264237746b.png?resizew=121)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2019-04-29更新
|
2340次组卷
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12卷引用:【新教材精创】9.1.2余弦定理(第2课时)练习(1)
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