1 . 如图,在
中,D为AC的中点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/1c649a84-9ec6-48eb-b41d-1566a31f95e3.png?resizew=177)
(1)证明:
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee020302d83e5a5d5aebf7c359577072.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/1c649a84-9ec6-48eb-b41d-1566a31f95e3.png?resizew=177)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbaa481d2d0f31e7c730e1d5385dd1bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d78bfbef90104db1f5e0e4c8c89f08c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cc5c3753ce2106c0902155349a0935.png)
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2022-10-12更新
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2卷引用:江西省赣州市赣县第三中学2022-2023学年高二上学期期中测试数学试题
解题方法
2 . 在
中,角A、B、C的对边分别为a,b,c,且满足
.
(1)求角B的大小;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fb74a9126586b056a6bb28a727f6b3.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f314224c74c67e483c21866a5b36885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36edd882c513de863b0e961f44d9f49e.png)
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2022-10-12更新
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4卷引用:江西省百校联盟2023届高三上学期10月联考数学(理)试题
江西省百校联盟2023届高三上学期10月联考数学(理)试题江西省赣州市名校2023届高三上学期期中联合测评数学(理)试题(已下线)专题02 正余弦定理在解三角形中的高级应用与最值问题(精讲精练)-2(已下线)专题12 正余弦定理妙解三角形问题和最值问题(练习)
名校
解题方法
3 . 已知△ABC的三个内角A,B,C的对边分别是a,b,c,
.
(1)若
,求B的大小;
(2)若△ABC不是钝角三角形,且
,求△ABC的面积取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea884844371cad230c0e476ea34f72bf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a9309659f8629ba285e16effbb966.png)
(2)若△ABC不是钝角三角形,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b6eef267e00eed68eabeaa29e0e87f.png)
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2022-10-12更新
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1342次组卷
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7卷引用:江西省赣州市七校2023届高三上学期期中联考数学(文)试题
4 . 如图所示,在
中,点D是边BC的中点,点E是线段AD的中点.过点E的直线与边AB,AC分别交于点P,Q.设
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ee44c8ad5792736787bb903ca273db.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084552225349632/3085931629084672/STEM/99cbf902e79b456d83a8b162745b5770.png?resizew=199)
(1)试用
与
表示
、
;
(2)求证:
为定值,并求此定值;
(3)设
的面积为
,
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93179982551da01266d5f1bc177fb4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe91df8a5a97bf49ab8004f07f64e908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ee44c8ad5792736787bb903ca273db.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084552225349632/3085931629084672/STEM/99cbf902e79b456d83a8b162745b5770.png?resizew=199)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228f4ddbb8959f904d71259be7c6ab36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1da92a2fc2ce861e82f7192fe4e648f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b680f91c4a693cc9ab2c23f2e9114ce.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd72016a9855cbf0056ff732fe872612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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2022-10-12更新
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444次组卷
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3卷引用:江西2023届高三联合测评卷数学(文)试题
解题方法
5 . 已知
的内角A,B,C所对边分别为a,b,c,且
.
(1)求A;
(2)
,求边长a.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf32a325a85be5adf9da3e7245cba6.png)
(1)求A;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b162d37332ce3913de2c52e1f311fb.png)
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3卷引用:江西2023届高三联合测评卷数学(文)试题
名校
解题方法
6 . 已知
的内角
的对边分别为
,若
,且
.
(1)求角
;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e2557d6c0eeb8e56c84db1c4931c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3177f577e0cd5f81eb0d20470d744bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5338d6be14c7c3f28ce30be8e1c1db8.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2022-10-11更新
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2卷引用:江西省抚州市金溪县第一中学2023届高三上学期第二次月考数学(文)试题
7 . 已知a,b,c分别为
三个内角A,B,C的对边,且满足
.
(1)求B的大小;
(2)若
的最短、最长边分别为等差数列
的第一、二项,记
,设数列
的前n项和为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544ecf30f742a58eaf690f114bbd8f86.png)
(1)求B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b548734ac2a47d6c079d592626b836d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd969d94d970c48848160788a63e0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9a0d7150fb24be3e28ef7f0e18be93.png)
您最近一年使用:0次
解题方法
8 . 在条件:①
,②
,③
中任选一个,补充在下列问题中,然后解答补充完整的题目.
已知a,b,c分别为锐角
的三个内角A,B,C的对边,
,而且__________;
(1)求角B的大小;
(2)求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f256033e3c374cc221304ee9132e4d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acaa1828c85180faf226ea53c41accb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702273a9432538c31c90e438d28e1f78.png)
已知a,b,c分别为锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
(1)求角B的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
9 . 记△
的内角
,
,
的对边分别为
,
,
,已知
.
(1)若
,求
;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/077d85fb8ebe768b33b2e7037c777b7f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f289ef19c7418a898ea18747aa76e783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14838a6921483c5b2b9e970b1da0f7b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e63dd94c5fafc24c5ca753a58a143c.png)
您最近一年使用:0次
2022-10-11更新
|
755次组卷
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3卷引用:江西省赣南(赣州三中、赣州中学、南康中学、宁都中学、于都中学)五校2023届高三上学期期中联考数学(理)试题
名校
解题方法
10 . 在
中,
分别是内角
的对边.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fe7205a106f98771f1da4dad30ce92.png)
(1)求角
的大小;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f13a05f5aca98574bb1f927123490de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e2557d6c0eeb8e56c84db1c4931c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9fe7205a106f98771f1da4dad30ce92.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416fcdab5f0cf1855cb53cb29a409279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:江西省赣州市赣县第三中学2022-2023学年高二上学期期中测试数学试题