名校
解题方法
1 . 如图,在边长为3的等边三角形
中,
交
于点
点满足
,过
点的直线交
于点
,交
于点
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed5ea3e7db5a6943f2915d32339709c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37c6c45c4d19365b7928d81365585040.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e447c27b2e2acf936fa64e3a13bef727.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/18/45aa1023-0595-4d51-9839-0f0b9e482450.png?resizew=141)
您最近一年使用:0次
名校
解题方法
2 . 在
中,已知
,若
为
内(含边界)一动点,
,则下列结论正确的是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ad269448978d4a3cdb5911c256a004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e535e5de14b757b47a1a001b675fdd.png)
A.若![]() ![]() | B.若![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
3 . 在
中,内角
的对边分别为
,已知
,
,
,则
( )
![](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/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0334bc85843337c4dfcfdc5c638f9f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-18更新
|
1483次组卷
|
6卷引用:宁夏回族自治区石嘴山市第一中学2023-2024学年高一下学期5月期中数学试题
宁夏回族自治区石嘴山市第一中学2023-2024学年高一下学期5月期中数学试题江苏省南京师范大学附属中学2023-2024学年高一下学期4月期中考试数学试题(已下线)模块一专题5《 解三角形》单元检测篇A基础卷(苏教版) (已下线)模块一 B提升卷 专题6 解三角形(人教B版)江苏高一专题04解三角形(第一部分)江西师范大学附属中学2023-2024学年高一下学期5月数学素养测试卷
名校
解题方法
4 . 如图,在
中,
,
为边
上的一点,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11a9c4bbe179a997a3ad4e16be27673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23caf8172a90ce9808686c622d28c87d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
您最近一年使用:0次
2024-04-17更新
|
628次组卷
|
3卷引用:宁夏银川市唐徕中学2024届高三下学期第四次模拟理科数学试题
5 . 如图,风景秀美的宝湖公园有一颗高大的银杏树,某研究小组为测量树的高度,在地面上选取了
两点,从
两点测得树尖的仰角分别为
和
,且
两点间的距离为
,则这颗银杏树的高度为_________________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270800ba975e87235e8802a631e5f3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c08094f72d5bd69246c453dd28e33d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5022abc6afd4deff13845419fa38312e.png)
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2024-04-15更新
|
403次组卷
|
2卷引用:宁夏银川市唐徕中学2023-2024学年高一下学期4月月考数学试卷
名校
解题方法
6 . 在
中,角
所对的边分别为
,向量
,且
.
(1)求角
;
(2)若
,求
的面积;
(3)若
为锐角三角形,求
的取值范围.
![](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/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63edd81f48cb5d47f1ec0232b3869342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b907456faac5d0995bd73f7da94c9b8.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ac3e0ce474868396889e2c38066c66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e541f56ea4827edcd9ef463aa8e0b0.png)
您最近一年使用:0次
7 . 如图所示,某海域的东西方向上分别有
两个观测塔,它们相距
海里,现
观测塔发现有一艘轮船在
点发出求救信号,经观测得知
点位于
点北偏东
同时
观测塔也发现了求救信号,经观测
点位于
点北偏西
,这时位于
点南偏西
且与
相距30海里的
点有一救援船,其航行速度为30海里/小时.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068c71740a27b4aa272eeb13e47b826d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/18/8086f503-38ad-4c51-b2fb-ca57e2d4fe50.png?resizew=139)
(1)求
点到
点的距离
;
(2)若命令
处的救援船立即前往
点营救,求该救援船到达
点大约需要多少分钟.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae6f48b9a53c0155a692509cf31f7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e233fe2b29b0bb1e01409dfe0829fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270800ba975e87235e8802a631e5f3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0572a9bd316c92391d73b095df65e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270800ba975e87235e8802a631e5f3a2.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/068c71740a27b4aa272eeb13e47b826d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/18/8086f503-38ad-4c51-b2fb-ca57e2d4fe50.png?resizew=139)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)若命令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2024-04-15更新
|
837次组卷
|
3卷引用:宁夏银川市唐徕中学2023-2024学年高一下学期4月月考数学试卷
名校
8 . 在
中,
的对边分别为
,已知
,若
有唯一解,则实数
的取值范围为_________________ .
![](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/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c32f6a45b60872d6f7d347c3edea824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa6361e919ac07ee6ed642556e1d1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
9 . 财富汇大厦坐落在广东省湛江市经济技术开发区,是湛江经济技术开发区的标志性建筑,同时也是已建成的粤西第一高楼.为测量财富汇大厦的高度,小张选取了大厦的一个最高点A,点A在大厦底部的射影为点O,两个测量基点B、C与O在同一水平面上,他测得
米,
,在点B处测得点A的仰角为
(
),在点C处测得点A的仰角为45°,则财富汇大厦的高度![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a548e8a2e2205f2faa87e25180a083.png)
______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0d90d3f304681599323e079b2ec52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c87eb3ed1ee03bb5426d1a1ff1cde70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51474d91e540a475138571e8738de850.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a548e8a2e2205f2faa87e25180a083.png)
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2024-04-15更新
|
1296次组卷
|
9卷引用:宁夏回族自治区石嘴山市第三中学2024届高三第四次模拟考试文科数学试题
宁夏回族自治区石嘴山市第三中学2024届高三第四次模拟考试文科数学试题广东省湛江市2024届高三下学期二模考试数学试题(已下线)3.5 解三角形的应用(高考真题素材之十年高考)(已下线)高一 模块3 专题1 第2套 小题入门夯实练【人教B版】(已下线)第四套 艺体生新高考全真模拟 (二模重组卷)(已下线)高一 模块3 专题1 第2套 小题入门夯实练【北师大版】(已下线)模块4 二模重组卷 第2套 全真模拟卷(已下线)压轴题07三角函数与正余弦定理压轴题9题型汇总-2(已下线)第二章 平面向量及其应用章末重点题型复习(2)-同步精品课堂(北师大版2019必修第二册)
10 . 在三角形ABC中,
,角A的平分线
交
于点D,若
,则三角形
面积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c835a6c84cab6859ff806bc62697494e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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2024-04-13更新
|
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