名校
解题方法
1 . 在
中,角
所对的边分别为
.已知
.
(1)证明:
;
(2)若
,
,求
的周长.
![](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/1fe67d2a995a809fb9084ab41ee43200.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb21ae875f36d52d0b6f82b0201d0e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ebb2603c1da90c22e0abdd5131b0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/534f33cc16d82470cbff68beffead264.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2020-05-09更新
|
413次组卷
|
2卷引用:河南创新发展联盟2019-2020年度高二下学期第二次联考文科数学试题
2 . 通常用
分别表示△ABC的三个内角A、B、C所对的边的长度,R表示△ABC外接圆半径.
(1)在以O为圆心,半径为2的圆O中,BC和BA是圆O的弦,其中BC=2,∠ABC=45°,求弦AB的长;
(2)在△ABC中,若∠C是钝角,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
(1)在以O为圆心,半径为2的圆O中,BC和BA是圆O的弦,其中BC=2,∠ABC=45°,求弦AB的长;
(2)在△ABC中,若∠C是钝角,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367961102740219545901df94d226ad2.png)
您最近一年使用:0次
3 .
的内角的对边
分别为
.
(1)求证:
;
(2)在边
上取一点P,若
.求证:
.
![](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)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52bd9362c24922a2a3af255fac9bbfe2.png)
(2)在边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad46f23c0313f49d9bc1fec0e9641612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8580839def5eb012fce630d4fa50eb.png)
您最近一年使用:0次
4 .
的内角A,B,C所对的边分别为a,b,c.已知
.
(1)证明:
;
(2)若
,
的面积为
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f040bc7ae944d978f499917a3949e0.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64afdc6fcdc4cd326bb11679766c223e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
您最近一年使用:0次
2019-10-29更新
|
681次组卷
|
2卷引用:“四省八校”2019-2020学年高三第一次教学质量检测数学(文)试题1
5 . 已知
为平面内不共线的三点,
表示
的面积
(1)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57242c7e53e65fd554af990a54093974.png)
求
;
(2)若
,
,
,证明:
;
(3)若
,
,
,其中,且坐标原点
恰好为
的重心,判断
是否为定值,若是,求出该定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbff84327e964f912a54032e76ccc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57242c7e53e65fd554af990a54093974.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b3c25337731049417172e162cb6869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbff84327e964f912a54032e76ccc9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbd6303756adb878c1e028f511e51f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf140d78ed70107444987a1c0fa8bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f4a0297f283b65777d12a0cca5a280.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c54ea6998fdda549ff99a5c3d112c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be921ce0a721c5e9a4a09a94f5ee95a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2d9da5319d043549a74c3c05bf1413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbff84327e964f912a54032e76ccc9.png)
您最近一年使用:0次
2019-10-22更新
|
504次组卷
|
5卷引用:山东省济南市2018-2019学年高一下学期期末学习质量评估数学试题
山东省济南市2018-2019学年高一下学期期末学习质量评估数学试题江苏省扬州市邗江区、宝应县、仪征市2020-2021学年高一下学期期中联考数学试题(已下线)模块三 专题5 大题分类练(平面向量)基础夯实练(北师大版)(已下线)模块三 专题4 大题分类练(平面向量)基础夯实练(人教A)(已下线)模块三 专题4 大题分类练(平面向量)基础夯实练(苏教版)
名校
解题方法
6 . 在
中,角
,
,
所对的边分别为
,
,
,且
.
(1)求证:
;
(2)若
,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/f296989add06c4bc2207a20b0746e533.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff7989c371fc6dd1627bdb88fcb917d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b9446d7b31f0d6e044cf99deeb20aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5201fc26d013f6fb889933c0e32f5c53.png)
您最近一年使用:0次
7 . 在
中,角
所对的边分别为
.
(1)若
为
边的中点,求证:
;
(2)若
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
(1)若
![](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/ea49e8abfc92cb54c73539c09541309b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79017fd0fd57bdc170b917b4e20f4c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
8 .
中,三内角
所对的边分别为
,已知
成等差数列.
(Ⅰ)求证:
;
(Ⅱ)求角
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/2f81b8a02e231884bc36fdc4870830cc.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a95735ae1e71fcfc71f244b92ddb52c.png)
(Ⅱ)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
2019-07-01更新
|
739次组卷
|
2卷引用:江西省九江市2018-2019学年高二下学期期末数学(理)试题
名校
9 . 已知a,b,c分别为
三个内角A,B,C的对边,S为
的面积,
.
(1)证明:
;
(2)若
,且
为锐角三角形,求S的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251cd3bec5f275a495cee6c62eb28fec.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78235c4d72a343ab223fbf8f8d1cbb99.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189730bce62734abf57f76454e1b70e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
您最近一年使用:0次
2019-02-20更新
|
13421次组卷
|
15卷引用:【全国百强校】辽宁省鞍山市第一中学2019届高三第一次模拟考试数学(理)试题
【全国百强校】辽宁省鞍山市第一中学2019届高三第一次模拟考试数学(理)试题江西省南昌市南昌县莲塘第一中学2018-2019学年高一下学期4月月考数学(理)试题江苏省常州市教学联盟2019-2020学年高一下学期期中数学试题(已下线)考点17 正余弦定理(练习)-2021年高考数学复习一轮复习笔记安徽省合肥市第六中学2020-2021学年高三上学期期中理科数学试题(已下线)必刷卷05-2021年高考数学(文)考前信息必刷卷(新课标卷)(已下线)必刷卷01-2021年高考数学(理)考前信息必刷卷(新课标卷)黑龙江省大庆实验中学2020-2021学年高一数学6月月考试题江苏省扬州市高邮市第一中学2022-2023学年高三上学期阶段测试一数学试题黑龙江省哈尔滨市第十一中学校2022-2023学年高一下学期4月月考数学试题广东省三校2022-2023学年高一下学期期中联考数学试题广东省广州市铁一中学等三校2022-2023学年高一下学期期中联考数学试题江西省吉安市泰和中学2022-2023学年高一下学期7月月考数学试题黑龙江省齐齐哈尔市恒昌中学校2022-2023学年高一下学期期中数学试题(已下线)专题12 正余弦定理妙解三角形问题和最值问题 (11大核心考点)(讲义)
10 . 已知
中,角
的对边分别为
,且
.
(1)求证:
; (2)若
,试求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/02746ec8e4220d8b4a174d5e9a711ed2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce2c41378db9c5966ec60ad7e4bd197.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cb21ae875f36d52d0b6f82b0201d0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd36cbaece7cf0bd8c0a86a1f4ceaac.png)
您最近一年使用:0次