解题方法
1 . 在如图所示的平面四边形ABCD中,
,
,记△ABD,△BCD的面积分别为
,则
的最大值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25b20638146ac0327ae82cd65b1c55e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be89b91f05f281190209b1e876299d57.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/26/400dc61a-334f-463c-8287-9a7fef9094a3.png?resizew=171)
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3卷引用:新疆新和县实验中学2023届高三素养调研第一次模拟考试数学(理)试题
2 . 如图,在四边形
中,
,
,
,
,
,则
的面积______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b515965c22d2950b592c096c6e3bdfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf91049df0c7a5fb70247c58faa62f9.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/2/ec56b2f3-8bd8-4fe5-b9f0-2835b453eef2.png?resizew=187)
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3 . 武当山,位于湖北省西北部十堰市境内,其自然风光以雄为主,兼有险、奇、幽、秀等多重特色.主峰天柱峰犹如金铸玉琢的宝柱雄峙苍穹,屹立于群峰之巅.环绕其周围的群山,从四面八方向主峰倾斜,形成独特的“七十二峰朝大顶,二十四涧水长流”的天然奇观,被誉为“亘古无双胜境,天下第一仙山”.如图,若点
为主峰天柱峰的最高点,
为观测点,且
在同一水平面上的投影分别为
,满足
,在点
处测得点
的仰角为
,
米,在点
处测得点
的仰角为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
__________ 米,
两点到水平面
的高度差为__________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b11b45b1ae99a58e5aac679974dabcf.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30ccf23f8cedbadb275fe4271aa7c96b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e01752d290f41c524bd64b0929a75cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffbc423070f5d7ce2c72229066ee1cf.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/20/5a74a5f3-a742-4856-ac43-d9876666f9e6.png?resizew=319)
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名校
4 . 如图,测量河对岸的塔高
时,可以选取与塔底
在同一水平面内的两个测量基点
与
.在
点测得塔顶
的仰角
,且
,则塔高为______ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4c0122aeefeaf1b75ce0b7062216df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573ae777f4f20ac251d2610290c5934c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/21/7f801044-e1ef-43b0-a37a-2c7e042335cd.png?resizew=175)
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2023-06-19更新
|
269次组卷
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3卷引用:新疆生产建设兵团第二师八一中学2022-2023学年高一下学期期末考试数学试题
5 . “鲅鱼公主”形象源于一个古老的传说.寓意深刻.美丽动人、象征和平,鲅鱼圈也因此得名,享誉中外“鲅鱼公主”雕塑作为渤海明珠景区的重要组成部分,东与望儿山翘首相望、北与鱼跃龙腾雕塑交相辉映,是山海文化、鱼龙文化相互交融的经典力作,是鲅鱼圈的标志进建筑.高中生李明与同学进行研究性学习,为确定“鮁鱼公主”雕塑的高MN,选择点A和附近一楼顶C作为测量观测点.从A点测得M点的仰角∠MAN=60°,C点的仰角∠CAB=45°,∠MAC=75°,从C点测得∠MCA=60°,已知楼高BC=30m,则“鲅鱼公主”雕塑的高MN=___________ m.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/113621f8-0412-4ecc-a37f-b77a7475c2f1.png?resizew=176)
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2023-06-14更新
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2卷引用:新疆乌鲁木齐市第七十中学2022-2023学年高一下学期学情调研数学试题
6 . 如图,某货轮在
处看灯塔
在货轮的北偏东
,距离为
,货轮由
处向正北航行到
处时,再看灯塔
在北偏东
,则
与
间的距离为________
.
![](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/68a4c9b697e3df2b5469b71d3b5e47a2.png)
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![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.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/f053d014fa230134516b59cb6345f840.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/99c7fefa-e6da-4702-9c78-dd4aa0f871d5.png?resizew=126)
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4卷引用:新疆乌鲁木齐市第八中学2022-2023学年高一下学期期中考试数学试题
新疆乌鲁木齐市第八中学2022-2023学年高一下学期期中考试数学试题(已下线)第02讲 正弦定理和余弦定理12种常见考法归类(4)江西省万安中学2022-2023学年高一下学期期中数学试题(已下线)第11章 解三角形 章末题型归纳总结(1)-【帮课堂】(苏教版2019必修第二册)
7 . 在
中,
为
边上一点,
,
,
,若使
的个数有且仅有两个,则线段
长度的范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee63d7a67287c5254793609eef77f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d75f67ac92faf413da3cf4aeaab9e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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2卷引用:新疆维吾尔自治区昌吉回族自治州2022-2023学年高一下学期7月期末数学试题
名校
解题方法
8 . 在锐角
中,角
所对的边分别为
,它的面积等于
且
,则
的面积的取值范围是_________ .
![](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/1733ea4d221076b9b60d8200dfc85134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fb725a3e20ac72b317fd433dd3b1ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
9 . 兰州黄河楼,位于黄河兰州段大拐弯处,是一座讲述黄河故事的人文地标,是传承和记录兰州文化的精神产物,展现了甘肃浓厚的历史文化底蕴及黄河文化的独特魅力.某同学为了估算该楼的高度,采用了如图所示的方式来进行测量:在地面选取相距90米的C、D两观测点,且C、D与黄河楼底部B在同一水平面上,在C、D两观测点处测得黄河楼顶部A的仰角分别为
,并测得
,则黄河楼
的估计高度为_____________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9286063c4839c72f832f8a39a18a9745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0382c28547d3834ca71f3f0677695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/9fe1abb5-ecfe-4831-a544-fb4d527f6a02.png?resizew=171)
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2023-02-25更新
|
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7卷引用:新疆维吾尔自治区塔城地区第一高级中学2022-2023学年高一下学期期中数学试题
10 . 如图,两座相距
的建筑物
、
的高度分别为
、
,
为水平面,求从建筑物
的顶端A看建筑物
的张角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8badcdb1e5621f0ac4d9272041185a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c08094f72d5bd69246c453dd28e33d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c56c87fd6bf8a44244ba51a9d244e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/8e9c3864-a42f-4da9-80f3-cbf87d361c05.png?resizew=208)
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2023-03-19更新
|
210次组卷
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7卷引用:新疆巴音郭楞州和硕县高级中学2021-2022学年高一下学期第一次月考数学试题
新疆巴音郭楞州和硕县高级中学2021-2022学年高一下学期第一次月考数学试题(已下线)第12讲 余弦定理、正弦定理的应用陕西省榆林市定边县第四中学2022-2023学年高一下学期梯度强化训练月考(一)数学试题第九章 解三角形(A卷·基础通关练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教B版2019必修第四册)(已下线)6.4.3 课时3 余弦定理、正弦定理应用举例(精练)-【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)(已下线)专题05 解三角形在几何与实际中的应用(2)-期中期末考点大串讲(已下线)第11章 解三角形 章末题型归纳总结(1)-【帮课堂】(苏教版2019必修第二册)