名校
解题方法
1 . 在
中,内角
的对边分别为
,且
.
(1)求
;
(2)若
为
的中点,在
上存在点
,使得
,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/a9735acab6d079b9e9384c567a2ad905.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc941e7149a057c3e1d7f06d9731966c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a897ee2124f0001db09cca047b86a105.png)
您最近一年使用:0次
2 . 在
中,
.
(1)求
;
(2)再从条件①,条件②,条件③,条件④这四个条件中选择一个作为已知,使
存在且唯一确定,若D是
边上的中点,求
的面积.
条件①:
,
;
条件②:
,
;
条件③:
,
;
条件④:
,
.
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1af751934461a7046db4e5ab355040.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
(2)再从条件①,条件②,条件③,条件④这四个条件中选择一个作为已知,使
![](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/b5f517953a21c2a45fd8465072c44bfc.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcaabbc3dfc41a697d94ce30a5525d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952eb5a219e0d6eb4b039092da70b865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7806bf3865558f820a9bace47198fc41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
条件④:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f425a37c8ec6a3c686cfb21c79064d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
您最近一年使用:0次
2023-10-17更新
|
592次组卷
|
3卷引用:北京市北京大学附属中学预科部2024届高三上学期10月阶段练习数学试题
3 . 记
的内角A,B,C的对边分别为a,b,c,已知
.
(1)求B;
(2)若
,
,从下面两个条件中选一个,求
的最小值.
①点M,N分别是边
,
上的动点(不包含端点),且
;
②点M,N是边
上的动点(不包含端点且
),且
.
注:如选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545dee12b9faf38a56dbe6690360441d.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ae7888d643678ea18f83f3237732052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64aee1f57ec0c1f3393fb6088f06d92d.png)
①点M,N分别是边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6d139dcead7558b7a5365bff41b1d5.png)
②点M,N是边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90229234e271bfb95b09768471b55910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ee7af832af9460f4775fa5c8c3620f.png)
注:如选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
4 . 在
中,
为
边上一点,且
平分
.
(1)若
,求
与
;
(2)若
,设
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ffd3aeeab96d27a868b3ecda8344f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb689a793465929f004e561242fa993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc24d605ad707ad0e76059d8a31f50d3.png)
您最近一年使用:0次
2023-09-14更新
|
2310次组卷
|
3卷引用:河北省唐山市2023-2024学年度高三上学期摸底演练数学试题
解题方法
5 . 已知a,b,c分别为
三个内角A,B,C的对边,
.
(1)若
,求角C;
(2)在(1)的条件下,设点D满足
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97020c28de4fe0cc46440d8704578c9a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91834c1078daa51d7b4816218a6dc818.png)
(2)在(1)的条件下,设点D满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9941d6dacd8ccf0742471c9bda65eca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606ff826406d9fc8403d365762cd9e4c.png)
您最近一年使用:0次
解题方法
6 . 在
中,
所对的边分别为
,已知
.
(1)若
,求
的值;
(2)若
为锐角,求
的取值范围.
![](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/07e3f0babbc1fa3467e778f5f037d8ca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61676d5ede7f4b50e93be03ecdcedd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd950ec83d93596468e3aff0bb91e0e9.png)
您最近一年使用:0次
2023-07-01更新
|
1044次组卷
|
4卷引用:湖北省咸宁市2022-2023学年高一下学期期末数学试题
湖北省咸宁市2022-2023学年高一下学期期末数学试题(已下线)模块一 专题2 解三角形中的最值问题(高一人教B)(已下线)模块一 专题2 解三角形中的最值问题【人教A版(2019)】专题08解三角形(第一部分)-高一下学期名校期末好题汇编
名校
7 . 在
中,角A,B,C所对的边分别为a,b,c.AD为BC边上的中线,点E,F分别为边AB,AC上动点,EF交AD于
.已知
,且
.
边的长度;
(2)若
,求
的余弦值;
(3)在(2)的条件下,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbd15cd722bbd8a8ae0cb4d4460051e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323116ce2a88c4d09d9cbb047b3de2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df3d06e548d0ee39a8ae5d960641b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e26b3b7e7293a85fa650b57cedba871.png)
您最近一年使用:0次
2023-06-20更新
|
792次组卷
|
5卷引用:山东省聊城市2022-2023学年高一下学期期中数学试题
山东省聊城市2022-2023学年高一下学期期中数学试题(已下线)第五章 平面向量与复数(测试)(已下线)专题02 解三角形(2)-【常考压轴题】福建省长汀县第一中学2023-2024学年高一下学期第一次月考试卷数学试卷湖南省常德市汉寿县第一中学2023-2024学年高一下学期5月月考数学试题
解题方法
8 . 在①
;②
;③
(其中
为
的面积)三个条件中任选一个补充在下面问题中,并作答.
在
中,角
,
,
边分别为
,
,
,且________.
(1)求角
的大小;
(2)若
为锐角三角形且
,求
的取值范围.
注:如果选择多个条件分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac31cf4766d4c2621e08cd8bc2cb1028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a31c67a17e593e1c453749d92787dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278890a49a466cfdba36a3bd6c9ae1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
在
![](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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e245411397acbba561c9733b3ec9c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
2023-06-06更新
|
1190次组卷
|
2卷引用:河南省开封市天成学校2023届高三文科数学试题
名校
9 . 如图,设
中角
,
,
所对的边分别为
,
,
,
为
边上的中线,已知
且
,
.
的长度;
(2)求
的面积;
(3)点
为
上一点,
,过点
的直线与边
,
(不含端点)分别交于
,
.若
,求
的值.
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a010e421839936a3dc7fe37a8a4d1b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323116ce2a88c4d09d9cbb047b3de2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94dbe286035a539961037bc0f3accd19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c7aa7d0b6bba663312bbb129eeaa55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d0f098d803b2ce1d87158fc3ccb0b4.png)
您最近一年使用:0次
2023-04-21更新
|
1938次组卷
|
7卷引用:江苏省泰州中学2022-2023学年高一下学期期中数学试题
江苏省泰州中学2022-2023学年高一下学期期中数学试题(已下线)高一数学下学期第二次月考02(范围:平面向量,解三角形,复数,立体几何)(已下线)高一下学期期末测试B卷(人教A版(2019)必修第二册全册:平面向量、复数、立体几何、概率统计)上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高一下学期5月联考数学试题江苏省江阴长泾中学2023-2024学年高一下学期3月份阶段性检测数学试题河南省郑州市第一中学2023-2024学年高一下学期期中考试数学试卷福建省厦门市同安第一中学2023-2024学年高一下学期第一次月考数学试卷
2023高三·全国·专题练习
名校
解题方法
10 . 记
的内角A,B,C的对边分别为a,b,c,已知
.
(1)若
的面积为
,求a的最小值;
(2)若
,BC边上的中线长为
,且
的外接圆半径为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b11d83cc4abd3886788064b177a46c4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802e162b98c280720fcb909cf392fda3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e899c486dc49e560fc4aca05e16835b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533a7b702ada1dd80123e4041271d521.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)
您最近一年使用:0次