名校
1 .
地发生地震时,相距
km的
两地都能感受到,已知
地位于A地的正东方向上,
地位于B地的东偏南
方向上,且
地距离
两地分别为
km和
km,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2a3c02083c62d1e61edbc2eef8dfcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58bbb8c432c2b551b6515fcea5e1b742.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 .
的内角
的对边分别为
,已知
.
(1)求
;
(2)若
为
的中点,
,求
的面积的最大值.
![](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/ce86c698bdb6d91a182516a6abce0b86.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-02-02更新
|
913次组卷
|
4卷引用:江苏省徐州市贾汪中学2020-2022学年高一下学期春季竞赛数学试题
江苏省徐州市贾汪中学2020-2022学年高一下学期春季竞赛数学试题(已下线)专题训练:解三角形大题综合-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)吉林省延边朝鲜族自治州延吉市延边第二中学2022-2023学年高一下学期期中数学试题河南省周口市陈州高级中学2021-2022学年高三上学期10月月考数学(理)试题
名校
3 . 如图,在△ABC中,AC⊥BC.延长BA到D,使得AD=2,且
.
,求△DBC的面积;
(2)当
时,求△ACD面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ac807d79b5a31acc6cd92514b19f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71807a35b3170fce28ee6edf4c00d083.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e8e9455a0b4175572a579497bd2925.png)
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2022-05-26更新
|
1082次组卷
|
4卷引用:四川省成都市树德中学2021-2022学年高一下学期5月阶段性测试数学试题
名校
4 . 山顶上有一座信号发射塔,塔高100米,山脚下有A,B,C三个观测点,它们两两之间的距离分别为AB=2千米,AC=3千米,BC=4千米,从这三个观测点望塔尖的仰角均为60°,则山高为______ 千米.
您最近一年使用:0次
20-21高一·全国·课后作业
5 . 如图,从A点和B点测得上海东方明珠电视塔塔顶C的仰角分别为38.3°和50°(A,B两点与塔底D点在同一条直线上),
,求东方明珠电视塔的高度(精确到1m).参考数据:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e362d57cdb71a21c75eeb01e1ed85da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afce2c04721d08936f3d1cba165d2da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e362d57cdb71a21c75eeb01e1ed85da.png)
![](https://img.xkw.com/dksih/QBM/2021/11/11/2849051998388224/2849773829677056/STEM/f3e649885e0646f3948f635dd1d1940d.png?resizew=227)
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解题方法
6 .
中,角
的对边分别为
,若
,则
是( )三角形.
![](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/9a86a06f15b34cf5ec60ed8161d5b5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.等边 | B.等腰 | C.直角 | D.等腰或直角 |
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7 . 如图,CM,CN为某公园景观湖畔的两条木栈道,∠MCN=120°,现拟在两条木栈道的A,B处设置观景台,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(单位:百米)
,求b的值;
(2)已知
,记
试用
表示观景路线
的长,并求观景路线A-C-B长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4271a19585d493bfc87f437e69fcf623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c364b003e8fc18721ed1290bb467e23b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](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/3c4309cc517da10cf325b0003e50d8da.png)
您最近一年使用:0次
2021-06-23更新
|
853次组卷
|
10卷引用:浙江省余姚市第四中学2018-2019学年高一下学期第一次比学赶帮超学习竞赛数学试题
浙江省余姚市第四中学2018-2019学年高一下学期第一次比学赶帮超学习竞赛数学试题吉林省辽源市田家炳高级中学2019-2020学年高一下学期期中考试数学试题辽宁省六校协作体2020-2021学年高一下学期第三次联考数学试题北京理工大学附属中学2020-2021学年高一下学期期末数学试题福建省漳州第三中学2021-2022学年高一下学期期中考试数学试题北京市北京理工大学附属中学2023-2024学年高一下学期6月月考数学试题广西南宁市马山县金伦中学4+N高中联合体2019-2020学年高二上学期期中考试数学试题2020届陕西省西安市西北工业大学附中高三下学期4月适应性测试数学(理)试题2020届陕西省西安市西北工业大学附中高三下学期4月适应性测试数学(文)试题宁夏银川九中、石嘴山三中、平罗中学三校2020届高三下学期联考数学(理科)试题
8 . 在
中,角
所对的边分别为
,且
.
(1)判断
的形状,并加以证明;
(2)当
时,求
周长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748d27f8027ed7b499ba7db2f2e49081.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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9 .
的三边
满足
且
,则
的形状是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4311879d4914afb91646bc4d816c29e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee065bdd0b5208d017eb58d3c45974b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 已知在锐角
中,
,
,
为角
,
,
所对的边,且
.
(1)求角
的值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/d4179570a06383d6bad862dc02d2a8d8.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/b5cbff84327e964f912a54032e76ccc9.png)
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