名校
解题方法
1 . 秦九韶,字道古,汉族,鲁郡(今河南范县)人,南宋著名数学家,精研星象、音律、算术、诗词、弓、剑、营造之学.1208年出生于普州安岳(今四川安岳),咸淳四年(1268)二月,在梅州辞世.与李冶、杨辉、朱世杰并称宋元数学四大家.他在著作《数书九章》中创用了“三斜求积术”,即是已知三角形的三条边长
,求三角形面积的方法.其求法是:“以小斜幂并大斜幂减中斜幂,余半之,自乘于上,以小斜幂乘大斜幂减上,余四约之,为实.一为从隅,开平方得积.”若把以上这段文字写成公式,即为
,若
满足
,
且
,则用“三斜求积”公式求得
的面积为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a16439a588c931f2ad5542386b680d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e804443d5b011b1d89be87014334e9c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55493e331f88d3d1c396e92b46c97ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b73abfe4bc26b1ded680d7abb1a2cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
2 . 已知在
中,内角A,B,C的对边分别是a,b,c,且
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ff9d4fdd0d176042505b7aac016852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0e548c0593a0533dc790c9c7927fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25fec64ddbdcbcf0c26c67cbe94b0b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 在△
中,若
,
,则角
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faaeeac3ad7c1946c4ebfb17a49e2e31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5f1e5d29de6e4d72bfed62d9c14dde5.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
21-22高二上·福建厦门·开学考试
名校
解题方法
4 . 在
中,三个内角分别为A,B,C,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2021-09-09更新
|
710次组卷
|
5卷引用:福建省厦门第一中学2021-2022学年高二上学期开学考试数学试题
(已下线)福建省厦门第一中学2021-2022学年高二上学期开学考试数学试题(已下线)考点14 解三角形-2022年高考数学一轮复习小题多维练(新高考版)广东省阳江市第三中学2021-2022学年高一下学期期中数学试题广东省茂名高州市校际联盟2021-2022学年高一下学期5月联考数学试题1.6.1余弦定理
20-21高一下·浙江·期末
名校
解题方法
5 .
中,角
、
、
的对边分别为
、
、
,
.
(1)若
为锐角三角形,其面积为
,
,求
的值;
(2)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/696bf7c8ee1492b2ad2bb74d28ea8d49.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e22ed3650f5bd1f435af557814c6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721e29b775e696045f44a4b1e7f74ef2.png)
您最近一年使用:0次
2021-09-09更新
|
1380次组卷
|
7卷引用:福建师范大学附属中学2022届高三10月月考数学试题
福建师范大学附属中学2022届高三10月月考数学试题(已下线)【新东方】双师301高一下浙江省金华市方格外国语学校2020-2021学年高一下学期5月段考数学试题(已下线)考点17 正、余弦定理及解三角形-备战2022年高考数学(理)一轮复习考点帮河南省南阳市第一中学校2021-2022学年高二上学期第一次月考数学试题黑龙江省哈尔滨市通河县第一中学2020-2021学年高一下学期期末数学试题辽宁省沈阳市东北育才学校2022届高三上学期联合考试(二模)数学试题
名校
6 . 在
中,内角
,
,
的对边分别为
,
,
,已知向量
,
且
.
(1)求角
的大小;
(2)若
是
角平分线,求证:
.
![](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/30ebf42a6fb48b82324a020f50419fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f4c1a6c3a8eee7808e2d0561c712e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a70d446e6fc756806938596817fd1bd.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5a4a6a20f271a6edc890208f2acc95.png)
您最近一年使用:0次
解题方法
7 . 在
中,角
,
,
的对边分别为
,
,
.
.
(1)求角
;
(2)若
,
,求
边上的高.
![](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/b52cb47ee09eea138e3db92d7fcaf5e5.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44255421dbf68d84f86551b34a57656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
21-22高二上·福建厦门·开学考试
名校
解题方法
8 . 在
中,a,b,c分别是角A、B、C的对边,且
.
(1)求角B的大小;
(2)若
,
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31d6a8ec670002ced3c5548167e3dd3.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611ac9d3f040cef52e4559267fd7b632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf2d3c6d20ec680b233344a0be893ef4.png)
您最近一年使用:0次
21-22高二上·福建厦门·开学考试
名校
解题方法
9 . 已知A、B、C为
的三内角,且其对边分别为a、b、c,若
,
.
(1)求
的值;
(2)若
的面积
,求
三边的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96bdfddc004dd5b3f7c1c373670c3269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b104867a12d24a353d94858c2fa17c8f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b20641179619e913ebee55b4c53f97b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
解题方法
10 . 在△ABC中,内角A,B,C的对边分别为a,b,c,且a+b=
c,2sin2C=3sinAsin B.
(1)求角C的大小;
(2)若S△ABC=
,求c的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求角C的大小;
(2)若S△ABC=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
您最近一年使用:0次