名校
解题方法
1 . 在
中,
.若
的最长边的长为
.则最短边的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5cb4cb099c9e1a19c60d7bd0322f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20838e72faf737614d76fcee82ab6c5.png)
A.![]() | B.![]() | C.2 | D.![]() |
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2024-04-24更新
|
1769次组卷
|
5卷引用:广东省韶关市2024届高三综合测试(二)数学试题
广东省韶关市2024届高三综合测试(二)数学试题山东省泰安市泰山国际学校2023-2024学年高一下学期3月月考数学试题(已下线)6.4.3.2?正弦定理15种常考题型归类(1)-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)6.4.3.2 正弦定理——课后作业(巩固版)广东省佛山市南海区桂城中学2024届高三下学期4月月考数学试题
2 . 在梯形ABCD中,
,
,
,
,
,E,F分别为AD,BC的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267ace52b64e1e7dfc5211e033255b7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b515965c22d2950b592c096c6e3bdfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a71a9d21f77e9535de152bb33f802bb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
3 . 在
中,
,点
在线段
上,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307a282c4f08779b076cf6489f7aa336.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbb8bceee477e2942e6364929cf2d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0f8721c5bc8241689e7aab535c2909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307a282c4f08779b076cf6489f7aa336.png)
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23-24高一下·全国·课后作业
4 . 小明同学为了估算位于哈尔滨的索菲亚教堂的高度,在索菲亚教堂的正东方向找到一座建筑物AB,高为
m,在它们之间的地面上的点M(B,M,D三点共线)处测得楼顶A,教堂顶C的仰角分别是15°和60°,在楼顶A处测得塔顶C的仰角为30°,则小明估算索菲亚教堂的高度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81d17eeb3a9f3aaa60400329e6e61dcb.png)
A.20 m | B.30 m | C.20![]() | D.30![]() |
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5 . 在△ABC中,
M是BC的中点,
,则AC=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/275abf9f53352909d4321a08c51e6d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/251a0e63b401d131f69677ccf5fabacf.png)
A.![]() | B.2 | C.![]() | D.4 |
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23-24高一下·全国·课后作业
6 . 若
的外接圆的半径是3,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d05bdbb905ff308b0dbac0a26e9ccc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae248960d8c1677cf948f8251275e863.png)
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7 . 如图
是在沿海海面上相距
海里的两个哨所,
位于
的正南方向.
哨所在凌晨1点发现其南偏东
方向处有一艘走私船,同时,
哨所也发现走私船在其东北方向上.两哨所立即联系缉私艇前往拦截,缉私艇位于
点南偏西
的
点,且
与
相距
海里,试求:
的距离;
(2)刚发现走私船时,走私船距离缉私艇多少海里?在缉私艇的北偏东多少度?
(3)若缉私艇得知走私船以
海里/时的速度从
向北偏东
方向逃窜,立即以30海里/时的速度进行追截,缉私艇至少需要多长时间才能追上走私船?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af203b7a3fb4aed760491c3adf1b9ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395424943f098d2c9a83d80039018429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)刚发现走私船时,走私船距离缉私艇多少海里?在缉私艇的北偏东多少度?
(3)若缉私艇得知走私船以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e4123975f257306440158659634c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
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8 . 如图所示:测量队员在山脚
测得山顶
的仰角为
,沿着倾斜角为
的斜坡向上走
到达
处,在
处测得山顶
的仰角为
.若
,则山的高度约为( )
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f256afee1098dac22f423b19b43c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c04ef3fcb7c08e96bd54c1ee7e6970e.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b39193e0b72077db2ec4847aa8076d5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 在
中,已知
,
,角
的平分线
与
交于点
,点
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2bdbb9c94b83909c497fbd8c5b0b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397fca77f42d61ad3ff5388cee5bf80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea8abb4cab55296ca7fc63de0af0aae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e6d33d9daf52a55b154fd2aea17753f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知
的内角A,B,C的对边分别为
,则能使同时满足条件
的三角形不唯一的a的取值范围是( )
![](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/431d97a7665de486313a14708554d55d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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