1 . 如图,在四边形
中,
,且
.
![](https://img.xkw.com/dksih/QBM/2021/6/15/2743663207948288/2745097956106240/STEM/6d68e877-3c5e-4c8e-bd22-7214c49bfdac.png?resizew=252)
(1)求
的面积;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/525b212fc8e4a6e4e3238ef3037831e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed6145bd18908c2c4f2c2e6caf249b6.png)
![](https://img.xkw.com/dksih/QBM/2021/6/15/2743663207948288/2745097956106240/STEM/6d68e877-3c5e-4c8e-bd22-7214c49bfdac.png?resizew=252)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2202d9071a4a53bb61b1237269e537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2021-06-17更新
|
1141次组卷
|
5卷引用:广西桂林市兴安县第三中学2021-2022学年高一下学期期中考试数学试题
名校
解题方法
2 . 如图,在四边形
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/afe3274b-c3c8-494c-a9fb-78e4ac9b324f.png?resizew=151)
(1)若
,求
;
(2)记
,当
为何值时,
的面积有最小值?求出最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c619d84005d26a464fadb5cf9a2bcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479416f18fc0eb2cf1ba533b54e26133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/afe3274b-c3c8-494c-a9fb-78e4ac9b324f.png?resizew=151)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f603839fd57e9cbe6ed3aaf2cf8cc18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dcbd171693a47c5b932a5e84de10c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
您最近一年使用:0次
2020-08-24更新
|
570次组卷
|
8卷引用:广西桂林市逸仙中学2020-2021学年高二上学期期中考试数学(理)试题
广西桂林市逸仙中学2020-2021学年高二上学期期中考试数学(理)试题辽宁省辽河油田第一高级中学2020-2021学年高一下学期期中数学试题2019年福建省两校联考高三上学期第一次月考数学(文)试题 (永安市第一中学、漳平市第一中学)2020届福建省永安市第一中学、漳平市第一中学高三上学期第一次联考 数学(文) 试题重庆市外国语学校2019-2020学年高一下学期6月月考数学试题(已下线)第21讲 正弦定理和余弦定理-2021年新高考数学一轮专题复习(新高考专版)福建省长汀县第一中学2022届高三上学期第二次月考数学试题(已下线)专题22 正弦定理、余弦定理
3 . 在
中,三个内角
,
,
所对的边分别为
,
,
,且
.
(1)求
;
(2)若
,三角形的面积
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/3d262527ddc0c69983c38d7b71e05847.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49dcdf048e907e670072f1070c8a8b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cff222550c8bdef4742ba090d7be6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2020-04-09更新
|
416次组卷
|
4卷引用:广西靖西市第二中学2020-2021学年高一下学期期中水平考试数学试题
名校
4 . 如图,在三角形
中,
,
的角平分线
交
于
,设
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/375a867b-76c8-4b98-bd67-706ff0888228.png?resizew=141)
(1)求
和
的值;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347f1001c7ef728ec091358493d3cb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e062b576227465b4512dd653c3f16d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750303cc97d19b55b5acbc9f162909c2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/375a867b-76c8-4b98-bd67-706ff0888228.png?resizew=141)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3281279fd172040eadc139ee61581a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60710149d7c931005770705e66a168f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
2020-01-02更新
|
372次组卷
|
2卷引用:广西南宁市第三中学2019-2020学年高二上学期期中考试(11月段考)数学(理)试题
解题方法
5 .
的内角
的对边分别为
,已知
.
(1)求角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)如图,若
,
为
外一点,
,
,若四边形
的面积为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.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/911971802ee985ed34ce6aefc785c449.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)如图,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03cc9c1600db3a5653e5903db8286e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289d7a880379d6060065c829b45b0ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d799af15cc3beab3e0f99875796cd0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6d82467cc7f4a78086efc449591815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/1/451c482c-5270-4b07-a330-6e12e03c996e.png?resizew=188)
您最近一年使用:0次
名校
6 . 在
中,
,
,
的对边分别为
,
,
,若
,
(1)求
的大小;(2)若
,
,求
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.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/988502c8954bb861ab92ec116c001d2f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2018-07-21更新
|
1059次组卷
|
14卷引用:广西南宁市第十中学2020-2021学年高二上学期段考数学试题
广西南宁市第十中学2020-2021学年高二上学期段考数学试题黑龙江省伊春市第二中学2018届高三上学期第一次月考数学(理)试题黑龙江省伊春市第二中学2018届高三上学期第一次月考数学(文)试题【全国市级联考】河北省邯郸市2017-2018学年高二下学期期末考试数学(理)试题【全国校级联考】河北省邯郸市九校2019届高三上学期第一次(高二下学期期末)联考数学(理)试题【全国市级联考】河北省邯郸市2017-2018学年高二下学期期末考试数学(文)试题(已下线)2019年一轮复习讲练测【新课标版理】4.6 正弦定理和余弦定理【练】(已下线)2019年一轮复习讲练测【新课标版文】4.6 正弦定理和余弦定理【练】2020届黑龙江省伊春市第二中学高三上学期期末数学(文)试题安徽省合肥市第六中学2019-2020学年高一下学期开学考试数学试题安徽省庐巢六校2019-2020学年高一下学期6月联考数学试题四川省攀枝花市七中2020-2021学年高三上学期第一次诊断考试数学(理科)试题山西省新绛县第二中学2019-2020学年高二上学期第一次考试数学试题河南省焦作市博爱县英才学校2020-2021学年第一学期第三次考试高二数学(理)试题