1 . 在
中,角
,
,
的对边分别为
,
,
,且
.
(1)求角
的大小;
(2)若
,
,
为
边上的一点,再从下面给出的条件①、条件②这两个条件中选择一个作为已知,求
的面积.
条件①;
;
条件②:
.
![](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/a4412dee169478e9e76e4b43e7711e83.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/03837b3769eda7f0d3804cc5ad4a6d60.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/ab2a2834d80ff574e79eae8ca8d4e94f.png)
条件①;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f291e9b1addfb1ea027be2bc4b5a2678.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba77f66ecad8eb4a7a63f169f28a3b7.png)
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名校
解题方法
2 . 在
中,内角
所对的边分别是
,已知
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3954687a671d687f5e67209b29f9289.png)
_______ ,
的值为________ .
![](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/d7f51cf1886a64c36a9056bfe99e2fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f06a55a3bda33fb4bf7d0fea2b1f38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3954687a671d687f5e67209b29f9289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
您最近一年使用:0次
解题方法
3 . 在
中,角
的对边分别为
.已知
,
.
(1)求证:
;
(2)若
,求
的面积.
![](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/f7f85678de64dcc06b3efcdb6a127170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1345d405d808126cc8ef1b4a45ff7a4e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d98a6ef53b370b03ebf80404fec8b85e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadd2e6f0aa16c2c466c904474ffc79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
4 . 在
中,
.
(1)求
;
(2)若
,再从条件①、条件②、条件③这三个条件中选择一个作为已知,使
存在且唯一确定,求
及
的面积.
条件①:
;
条件②:
;
条件③:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a391742d9741bbbcf830e230832557.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f296989add06c4bc2207a20b0746e533.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd5b9bbd3d22bd2cef53dd4b9691257.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58693d3a1de64f8985432e046653c9f2.png)
您最近一年使用:0次
2023-05-05更新
|
2048次组卷
|
4卷引用:北京市东城区2023届高三二模数学试题
解题方法
5 . 已知
的三个内角
、
、
所对的边分别为
、
、
,且
,则
( )
![](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/d4a3ee883d82bea8e114bcaf6ee2b8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 在△ABC中,
,再从条件①、条件②中选择一个作为已知, 条件①:
;条件②:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153a80125faec9251e981547a7561e08.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.求:
(1)
;
(2)AC边上的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae7fa1950732b91d9ae1ad18f8fde50e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb0e2b72fd7c6e8c2cc491478904497.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153a80125faec9251e981547a7561e08.png)
注:如果选择条件①和条件②分别解答,按第一个解答计分.求:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)AC边上的高.
您最近一年使用:0次
7 . 已知
的三个角A,B,C的对边分别为a,b,c,则能使
成立的一组A,B的值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a0e575b84d84cadae1456cd6639920.png)
您最近一年使用:0次
2022-05-17更新
|
1327次组卷
|
6卷引用:北京市朝阳区2022届高三二模数学试题
北京市朝阳区2022届高三二模数学试题北京市八一学校2021-2022学年高一6月月考数学试题北京市第八中学2023届高三上学期9月开学诊断练习数学试题北京市海淀区第五十七中学2022-2023学年高二上学期12月月考数学试题(已下线)第13讲:第五章 平面向量及解三角形(测)(提高卷)-2023年高考数学一轮复习讲练测(新教材新高考)(已下线)专题01 条件开放型(一)【讲】【通用版】
2022高三·北京·专题练习
8 . 在
中,
.
(1)求
;
(2)再从条件①、条件②、条件③这三个条件中选择两个作为已知,使
存在且唯一确定,求
的面积.
条件①:
;
条件②:
;
条件③:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccbc6575d9c931cb7e13b211a8339fc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)再从条件①、条件②、条件③这三个条件中选择两个作为已知,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0086d1967e0a470b2576a525dae0647.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b425f31effa15063441ed288be4c3fc9.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fd454e69236d3ece1583420fb552e07.png)
您最近一年使用:0次
2022-05-11更新
|
973次组卷
|
6卷引用:北京市第二中学2022届高三5月模考数学试题
北京市第二中学2022届高三5月模考数学试题(已下线)数学-2022年高考押题预测卷01(北京卷)北京市景山中学2021-2022学年高一下学期期中考试数学试题北京市陈经纶中学2024届高三上学期9月阶段性诊断练习数学试题(已下线)第02讲 正弦定理-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)河北省石家庄市藁城区第一中学2021-2022学年高一下学期5月月考数学试题
9 . 已知在
中,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8abff30fc308565d3a23dd2739e5c6.png)
(1)求B的大小;
(2)在三个条件中选择一个作为已知,使
存在且唯一确定,并求BC边上的中线的长度.
①
;②
;③
面积为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7fe712e3108e3597bd8f5669474687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8abff30fc308565d3a23dd2739e5c6.png)
(1)求B的大小;
(2)在三个条件中选择一个作为已知,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2ccff4151ac59fc4be76a1b705cd8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12b40b1544e62be8b9e9f4dc9f2c0c74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ca820a456491348e72587e4fe10bc6.png)
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2022-04-09更新
|
551次组卷
|
2卷引用:北京外国语大学附属中学2022届高三模拟数学试题
名校
解题方法
10 . 在
中,
,若
,则
的大小是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca890db371750d26ec7f049cfe4f714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3a059203f65774fd8f321faa9e8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-03-29更新
|
1868次组卷
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8卷引用:北京市石景山区2022届高三一模数学试题
北京市石景山区2022届高三一模数学试题北京航空航天大学实验学校中学部2023届高三三模数学试题(已下线)数学-2022年高考押题预测卷03(北京卷)北京市房山区实验中学2022—2023学年高二上学期高中学业水平调研数学试题北京市房山实验中学2023届高三上学期期中考试数学试题北京卷专题07解三角形(选择填空题)(已下线)3.5 正余弦定理(精讲)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)(已下线)第02讲 正弦定理-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)