解题方法
1 . (1)证明:若
,求证:
;
(2)已知
,
均为锐角,且满足
,
,求
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d677e6f94d57c506bd007617c50a19e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99db5e19a19614908bee34c4ae100286.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2c1ac87d07d6c7a1a62eb333d112d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8628325b9e41358aec8f97a50da7f27a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfea1e888676a13ad69c72fba0405ea.png)
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2 . 如图,在
中,角
、
、
的对边分别为
、
、
,若
,
,
,若点
在边
上,且
平分
,则
的面积为____________ .
![](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/8d2c413253fe5bc1f9287a35e6fc45eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a5e0a51c9e14fb246b0ba0b231c1e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/21/a74f4baf-36c6-4425-ad09-b489651f75b9.png?resizew=115)
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名校
解题方法
3 . 已知
的内角
的对边分别为
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aaa96a9ae18c5e4e25c72a0ab2042e8.png)
(1)求角
;
(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/0aaa96a9ae18c5e4e25c72a0ab2042e8.png)
(1)求角
![](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/7a1a2f8f578ebcf67b1c9fe9541c41c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
您最近一年使用:0次
2023-02-24更新
|
2153次组卷
|
6卷引用:福建省石狮市永宁中学2023届高三上学期11月月考数学试题
名校
解题方法
4 . 在
中,角A,B,C的对边分别为a,b,c,
.
(1)求角A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/fb8391a30a191b22e483db135fd476cd.png)
(1)求角A的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7407d82d6e55b969d34e937ce36f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2022-06-13更新
|
1097次组卷
|
4卷引用:福建省泉州鲤城北大培文学校2021-2022学年高二下学期期末考试数学试题
解题方法
5 . 如图,在四边形
中,
,
,
,
,
,求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/1d28692f-a296-4709-98af-a07330bcb57c.png?resizew=153)
(1)
的长度;
(2)
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e57723dd7cee485e3b52a07e79f7e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c77cb2f11c66a269bbd9d63e4bb6d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ed75e65e7374c38ffb1f75259a8beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e613cfd90e2c50293729c189ab1484.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/1d28692f-a296-4709-98af-a07330bcb57c.png?resizew=153)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
6 . 在
中,内角
,
,
对应的边分别为
,
,
,若
.
(1)求角
;
(2)若
,
,求
的面积.
![](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/c5ca4d7d1d053fd046a280ace4447232.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8607bde1fa6cde631a46e921d959a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
7 . 某校高一研究性学习小组,为了缓解该校教师停车难的问题,拟对校园内一块扇形空地AOB进行改建.如图所示,平行四边形OMPN区域为停车场,其余部分建成绿地,点P在围墙AB弧上,点M和点N分别在道路OA和道路OB上,且OA=60米,∠AOB=60°,设∠POB=θ,则当θ为______ 时,该校停车场最大面积为______ 平方米.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/09c29549-f1cf-428b-8dc8-4d3d89b39dbb.png?resizew=135)
您最近一年使用:0次
名校
解题方法
8 . 已知
,
.
(1)求
的值;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65b6c42393fae47c51101713167ff71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c8705318a5c2019172a9870d6cb3ea.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b4179e1ab8705cf19ea7aaf48888843.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8d88054c08b24133a1bb1c86f1ceab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90652aaa263a7bb521f08e8d338ef4bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
您最近一年使用:0次
2022-05-28更新
|
5802次组卷
|
19卷引用:福建省泉州市部分学校2021-2022学年高二下学期7月联合测评数学试题
福建省泉州市部分学校2021-2022学年高二下学期7月联合测评数学试题江苏省南京市教学研究室2022届高三下学期高考前辅导数学试题江苏省南京市雨花台中学2021-2022学年高一下学期6月学情调研考试数学试题(已下线)江苏省扬州市2021-2022学年高一下学期期末适应性测试数学试题江苏省镇江市扬中市第二高级中学2021-2022学年高一下学期期末适应性测试数学试题两角和与差的正弦、余弦和正切公式河南省荥阳市京城高中2022-2023学年高三上学期开学考试数学试题(已下线)高一数学上学期期末【全真模拟卷01】-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)(已下线)专题18 三角恒等变换江苏省徐州市树恩中学2022-2023学年高一下学期第一次月考数学试题江苏省扬州中学2022-2023学年高一下学期3月月考数学试题(已下线)专题18 三角恒等变换-3(已下线)高一数学下学期第一次月考模拟试卷(平面向量+三角恒等变换)-【题型分类归纳】2022-2023学年高一数学同步讲与练(苏教版2019必修第二册)第五章 三角函数 讲核心02江苏省常州市前黄高级中学2023-2024学年高三上学期第一次阶段考试数学试题5.5.2 简单的三角恒等变换练习广东省深圳市云顶学校2024届高三上学期8月质量检测数学试题江苏省淮安市马坝高级中学2023-2024学年高三上学期10月学情调研测试数学试题江苏省盐城市响水中学2023-2024学年高一下学期期中考试数学试题
名校
解题方法
9 . 已知
,且
,则α=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25d1c1fa51dbc6589b31ffde6a60f220.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d66caa028116877b21893884a11cb39.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-05-11更新
|
763次组卷
|
2卷引用:福建省泉州市2022届高三第五次质量检测数学试题
名校
解题方法
10 .
的内角A,B,C的对边分别为a,b,c,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df639205991bd106a3ead7d863f366df.png)
(1)求B:
(2)若
,点D满足
,
,求平面四边形ABCD的面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df639205991bd106a3ead7d863f366df.png)
(1)求B:
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77002934914017c350ee0447d3a005fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833cfda415649b832cc136caed392753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b2f446cccf2652c090e99a75beb3bf.png)
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2022-05-11更新
|
1139次组卷
|
2卷引用:福建省泉州市2022届高三第五次质量检测数学试题