名校
解题方法
1 . 在①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653b7b3d18da859f3048fb8be28954e.png)
这三个条件中任选一个,补充在下面问题的横线上,并加以解答.
问题:
的内角
所对的边分别为
,且满足 .
(1)求
;
(2)若
,且向量
与
共线,求
的周长.
注:如果选择多个条件分别解答,按第一个解答给分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b11d83cc4abd3886788064b177a46c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a31c67a17e593e1c453749d92787dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653b7b3d18da859f3048fb8be28954e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0caebb389c88fce3493ad1967c54d14c.png)
问题:
![](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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8254bbab3c773ba406019659365c0309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9c677e530c3d64dab19850bc99d710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
注:如果选择多个条件分别解答,按第一个解答给分.
您最近一年使用:0次
2021-07-13更新
|
434次组卷
|
5卷引用:专题14 解三角形的综合问题-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)
(已下线)专题14 解三角形的综合问题-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册) 湖北省华中师范大学第一附属中学2020-2021学年高一下学期期中数学试题河北省唐山市迁西县第一中学2020-2021学年高一下学期期中数学试题山西省晋中市现代双语学校2021-2022学年高一下学期三月份阶段考试数学试题云南省玉溪第一中学等三校2021-2022学年高一下学期实用性联考(一)数学试题
2 . 在
中,已知
.
(1)求
;
(2)若
为
的中点,当
的面积最大时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db3207a6855b3c12375596f988d1afe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db213a89e30249fd3d111a152cc6442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
解题方法
3 . 从①
;②
的面积
;③
的周长为
,这三个条件中任选一个,补充在下面问题中并解答.
的内角
,
,
的对边分别为
,
,
,
,
且______.求
及
边上的中线的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3d320fbafe08867d647aa75abac154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73228ffb9f2dfd18507432f21030f75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b2c435cd404239eba4f825bfdccb63a.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/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/fcab2e4a7b5b927c1b41009ebcdda724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
您最近一年使用:0次
4 . 在
中,
,若
同时满足下列四个条件中的三个:①
;②
;③
;④
.
(1)选出使
有唯一解的所有序号组合,并说明理由;
(2)在(1)所有组合中任选一组,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353339a2b1fe367737f848e31785ca78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e412e2980ca2a4664bc3de77be394d28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadd2e6f0aa16c2c466c904474ffc79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08388258e9bd4aa5feb4b9e5caaeb811.png)
(1)选出使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(2)在(1)所有组合中任选一组,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2021-05-29更新
|
664次组卷
|
3卷引用:一轮复习大题专练26—解三角形(结构不良型问题)-2022届高三数学一轮复习
名校
解题方法
5 . 在
中,内角
,
,
所对的边分别为
,
,
,已知
.
(1)求角
的大小;
(2)设
,
,
(i)求
,
(ii)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/416cf338679a142e77c5e6d0d91a1320.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(ii)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ca2183ac73f98e6719c066f26e6d03.png)
您最近一年使用:0次
2021-05-21更新
|
1163次组卷
|
3卷引用:数学-2022年高考押题预测卷01(天津卷)
解题方法
6 . 在①
;②
;③
这三个条件中任选两个,补充在下面问题中.
问题:是否存在
,它的内角
的对边分别为
,且
,______,______?若三角形存在,求
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3944b22d86c15a824c016a7ba1c14879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65b81ec626021e81ffa4d084468945c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4ee26622a95ee0b12c1367595cc69b2.png)
问题:是否存在
![](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/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解题方法
7 . 在
中,角
所对的边分别为
,已知
.
(1)求
的值;
(2)若
,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/e6b86d423637c6ecefd730f1020e218c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
8 . 已知等腰
中,角
,
,
的对边分别为
,
,
,
,
是
的中点.
(1)若
,
,
,求
的面积
;
(2)若
的面积
等于
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.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/b05d3b8f5c9df891ef6fbcaf12f43207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86792adaa39e72e79266f7296e35bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5eaa8ca409d0a76a3f48825fe1855e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
您最近一年使用:0次
2021-04-18更新
|
1071次组卷
|
4卷引用:专题3.1 解三角形(常规型)-2021年高考数学解答题挑战满分专项训练(新高考地区专用)
(已下线)专题3.1 解三角形(常规型)-2021年高考数学解答题挑战满分专项训练(新高考地区专用)高考全国卷地区2021届3月联考乙卷数学(理科)试题(已下线)“超级全能生”2021届高三全国卷地区3月联考试题(甲卷)数学(理)试题陕西省2021届高三下学期教学质量检测测评(三)理科数学试题
2021高三·全国·专题练习
9 . 在平面直角坐标系中,设向量
,
,其中A,B分别是
的两个内角.
(1)若
,则
的值为______ ;
(2)若
,
,则
的面积的最大值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683976c40f07c5a55475cef91487b7d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3520a70c84054b763ccd55190d9fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede701c23a446020d1471fd8cdd9eca9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b7e5d7956ff765190ba8042212e967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
10 . 在
中,三个内角为A,B,C且满足
.
(1)如果
,求
的值;
(2)求
的最小值,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c99991f84789de4d3b89c9d0ca4a073b.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3578b63c5903089595bf324c809a997c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7121dc5db5fae9c6564d6985660a7a9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6402f1010e94be78552ed4c45548b1b8.png)
您最近一年使用:0次