名校
1 .
中,角
,
,
所对的边分别为
,
,
,已知
,
,
,那么
( )
![](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/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68abf671ba1bc7cbf2704f1dfde481d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b86d43790babcdbbdc03493ee70928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
A.![]() | B.![]() ![]() | C.![]() | D.![]() |
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2024-04-16更新
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301次组卷
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2卷引用:广东省惠州市惠阳区第一中学高中部2023-2024学年高一下学期第一次质量检测数学试题
名校
2 . 已知
.
(1)若
,求函数
的零点;
(2)设
的内角
所对的边分别为
,若
且
.求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d25aefa6250bf0f39c78f1d88f9cfa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffd1f6bd3686a07efa4086a02b96a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](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/b4b1d9be60dcb1c22145d11e2ed48d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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3 . 如图,在
中,已知
是
边上的一点,
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe74474d5512c459e11991539ab7b2d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed7eaa916523cc1d045e9e6b3848e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
A.![]() | B.![]() | C.![]() | D.10 |
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2024-04-15更新
|
790次组卷
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2卷引用:广东省中山市永安中学2023-2024学年高一下学期第一次段考数学试题
解题方法
4 . 如图,在四边形ABCD休闲区域中,四周是步道,中间是花卉种植区域,为减少拥堵,中间穿插了氢能源环保电动步道AC,
,且
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372429d9b1b3c73d5bc8e368bdd07fac.png)
,则氢能源环保电动步道AC的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab3e412b27dd807fbe8640c0dcef654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2436591a889729b1a3bdcca1991a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9723635d46664a92d3af26362dfea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372429d9b1b3c73d5bc8e368bdd07fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
A.1 | B.![]() | C.3 | D.2![]() |
您最近一年使用:0次
2024高一下·江苏·专题练习
名校
解题方法
5 . 已知
的内角
所对的边分别为
,向量
与
平行.
(1)求
;
(2)若
,求
的面积.
![](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/8f0a69426b756086f177b734275974f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0de8400366e603b83568a0e8a5af9af.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f9314433f619d6dad2b43f78d39506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2024-04-15更新
|
2324次组卷
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17卷引用:广东省茂名市高州中学2023-2024学年高二下学期3月滚动测试数学试题
广东省茂名市高州中学2023-2024学年高二下学期3月滚动测试数学试题广东省东莞市东莞中学松山湖学校2023-2024学年高一下学期第一次段考数学试题广东省中山市中山纪念中学2023-2024学年高一下学期第一次阶段考试数学试题广东省梅州市梅县区丙村中学2023-2024学年高一下学期3月月考数学试卷浙江省杭州市富阳区场口中学2023-2024学年高一下学期3月教学质量检测数学试题贵州省遵义市桐梓县荣兴高级中学2023-2024学年高二下学期第一次(3月)月考数学试题天津市嘉诚中学2023-2024学年高一下学期第一次月考数学试卷吉林省长春市实验中学2023-2024学年高一下学期第一学程(4月)考试数学试题湖南省长沙市南雅中学2023-2024学年高二下学期第二次月考(5月)数学试题重庆市荣昌中学校2023-2024学年高一下学期第二次教学检测(5月)数学试题广东省肇庆市加美学校2023-2024学年高一下学期4月期中考试数学试题(已下线)第十一章 解三角形(压轴题专练)-单元速记·巧练(苏教版2019必修第二册)福建省福州外国语学校2023-2024学年高一下学期期中考试数学试卷(已下线)专题20 三角函数及解三角形解答题(文科)-1(已下线)专题20 三角函数及解三角形解答题(理科)-1河南省信阳高级中学2023-2024学年高一下学期5月期中考试数学试题(已下线)专题03 解三角形问题总结-《期末真题分类汇编》(江苏专用)
名校
6 . 如图,已知
是边长为2的正三角形,P在边BC上,且
,Q为线段AP上一点.
,求实数
的值;
(2)求
的最小值;
(3)当
的重心在直线CQ上时,求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef53cd73eb4a628ca6a95517131b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcd6acd78fc389ca2fe03c9006e4d32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa644477d812c38da6df9e3751468626.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2225e9d4e443d81abfe1bed83ba25e9b.png)
您最近一年使用:0次
2024-04-15更新
|
214次组卷
|
2卷引用:广东省湛江市第一中学2023-2024学年高一下学期第一次月考数学试题
解题方法
7 . 在锐角
中,内角
,
,
所对边分别为
,
,
,
.
(1)求角
;
(2)设
是角
的平分线,与
边交于
,若
,
,求
,
;
(3)若
,求
面积的取值范围.
![](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/7274f7c93dd1b470b1f2d86c9c35a8f5.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432cce1481829c4dfe2bd557f6e9aa4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
8 . 在
中,角
的对边分别为
,对于
有如下命题,其中正确的是( )
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2024-04-15更新
|
342次组卷
|
2卷引用:广东省深圳市龙华外国语高级中学2023-2024学年高一下学期第一次段考数学试卷
解题方法
9 . 已知
中,其内角
的对边分别为
,下列命题正确的有( )
![](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)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
10 . 已知
的内角
所对的边分别为
,下列四个命题中正确的命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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