名校
解题方法
1 . 已知
的内角
的对边分别为
的面积为
.
(1)求
;
(2)若
,且
的周长为5,设
为边BC中点,求AD.
![](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/718b5b48053888ab3b234b8cb56a0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c11d0870749cb234fe2cffa9dc0c73.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2024-05-14更新
|
1702次组卷
|
5卷引用:广西南宁市第二中学2023-2024学年高一下学期5月月考数学试卷
广西南宁市第二中学2023-2024学年高一下学期5月月考数学试卷黑龙江省齐齐哈尔市2024届高三下学期三模联考数学试卷(已下线)第二套 艺体生新高考全真模拟 (三模重组卷)安徽省安庆市第一中学2024届高三下学期6月第四次模拟(热身考试)数学试卷(已下线)高一第二学期期末模拟卷01-重难点突破及混淆易错规避(苏教版2019必修第二册)
2 . 在
中,D为边
上一点,满足
,且
.
(1)证明:
.
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44399bddd012b809ae5f95518c9bee28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf69ba0c29cab6f013e61c5eb3a87942.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7749006d7e99bbec95b12e044bf8f87b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32f5434406acfefc5690608f18a7e02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cb63aeea0b37799404c8fec092b21d.png)
您最近一年使用:0次
名校
解题方法
3 . 如图某公园有一块直角三角形
的空地,其中
长
千米,现要在空地上围出一块正三角形区域
建文化景观区,其中
分别在
上.设
.
(1)若
,求
的边长;
(2)求
的边长最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625a724a4c364de51fcd2d1b40a4fcb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5b88ec996d2d117987e7303cefe4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a526baed599c86cda5a6a48344040ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6818a6807251bee6fb3cc68b4ec473cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/8/08a8c306-49bd-42ae-96ff-847f9ed7030c.png?resizew=93)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e186ebc624ebacde9a03b96289f1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
您最近一年使用:0次
2023-11-15更新
|
510次组卷
|
3卷引用:广西柳州高级中学2024届高三上学期10月月考数学试题
4 . 如图,在
中,
,
,
为
内一点,
.
,求
;
(2)若
,求
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc11f5d9a18bd318630dda1a33c388e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9b0d3cf342e065b4c8e21443bfbfbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0371664a451e7e7c020c9a7ae0627f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b3bfde4b7cbca10de7d63bb7b2cfd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-08-11更新
|
875次组卷
|
11卷引用:广西柳州市高级中学2024届高三上学期12月月考数学试题
广西柳州市高级中学2024届高三上学期12月月考数学试题山东省枣庄市第三中学2018-2019学年高一下学期期末数学试题江苏省徐州市铜山区、南通市如皋中学2020-2021学年高三上学期第一次抽测数学试题(已下线)专题03 三角函数与解三角形-【备战高考】2021年高三数学高考复习刷题宝典(压轴题专练)(已下线)专题4-4 三角函数与解三角形大题归类-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高一下学期6月月考数学试题(已下线)第六章:平面向量及其应用-高一数学同步精品课堂(人教A版2019必修第二册)(已下线)11.3 余弦定理、正弦定理的应用-【帮课堂】(苏教版2019必修第二册)(已下线)FHsx1225yl152(已下线)专题04解三角形的7种常考题型归类-《期末真题分类汇编》(北师大版(2019))河南省信阳市信阳高级中学贤岭校区2023-2024学年高一下学期6月月考数学试题
5 . 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
2021·江苏徐州·二模
名校
6 . 在
中,角A,B,C所对边分别为a,b,c,
,
.点D是
的中点,
,求c和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7593e5b22e9cb51329bf29b566a55b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1e2cd755be3a8049148ea3fb5bdcfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b455b110a30c1533d0a0657e0e48ac33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在平面四边形
中,
,
.
的平分线与
交于点E,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/8964ae5c-f45f-46af-b2e2-a863f4be36de.png?resizew=164)
(1)求
及
;
(2)若
,求四边形
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba2098ed6b4137b08932524b72ba37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18f38545fb6d8ba32c993f60dc9a774.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/8964ae5c-f45f-46af-b2e2-a863f4be36de.png?resizew=164)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9940b7a52cfb34f91389c8adac6b69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2020-05-27更新
|
1229次组卷
|
6卷引用:广西南宁市2019-2020学年高三第二次适应性测试数学(理)试题
名校
解题方法
8 . 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(已下线)专题22 正弦定理、余弦定理
名校
9 . 如图,在直角
中,
,
,
,点
在线段
上.
,求
的长;
(2)点
是线段
上一点,
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90b40c2b0ab8e1cfe5112d428b4b829f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ba5383e768dc86e1bfd79c10f96f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f412528e223f268ec4f0f3e268ced80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16dd52062ef6e01018171bc45ddf4648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba7d52df3d2cf236d2a809fccbc8923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977531ee9d2fa2227e31096435b62372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bdafa1935788bb5bf3b87c3a0c342a.png)
您最近一年使用:0次
2020-04-24更新
|
4518次组卷
|
9卷引用:广西壮族自治区钦州市第四中学2023届高三上学期1月考试数学(文)试题
广西壮族自治区钦州市第四中学2023届高三上学期1月考试数学(文)试题2020届山东省淄博市高三一模数学试题(已下线)提升套餐练09-【新题型】2020年新高考数学多选题与热点解答题组合练(已下线)数学-2020年高考数学押题预测卷03(山东卷)《2020年高考押题预测卷》江苏省扬州中学2019-2020学年高一下学期期中数学试题(已下线)专题三 三角函数及解三角形--2020山东模拟题分类汇编湖南省长沙市雅礼中学2020-2021学年高三上学期月考(二)数学试题江西省吉安市吉安县第三中学、安福二中、泰和二中2020-2021学年高一下学期期中联考考试数学试题重庆市第十一中学校教育集团2023-2024学年高一下学期期中考试数学试题
10 . 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