解题方法
1 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c5e1fd929184dcf646d86d7075a093.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4397f065fe20ad600b87841ca08fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c5e1fd929184dcf646d86d7075a093.png)
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3卷引用:辽宁省营口地区2022-2023学年高二上学期开学考试数学试题
2 . 在
中,内角A,B,C所对的边分别为a,b,c.若
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af039cad52ca4e1f1e322277bc81afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf623a808eaaef1acef2bd44d92d34a.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
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5卷引用:辽宁省营口地区2022-2023学年高二上学期开学考试数学试题
辽宁省营口地区2022-2023学年高二上学期开学考试数学试题(已下线)6.4.3 第2课时 正弦定理 (精讲)(1)【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第15讲 解三角形中角平分线中线内切外接圆问题辽宁省鞍山市矿山高级中学2022-2023学年高一下学期期末数学试题(已下线)第四章 三角函数与解三角形 第六节 第一课时 正弦定理与余弦定理(一)
名校
3 . 已知角A,B,C是
(非直角三角形)的三个内角,
,且
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44436523265ad286fb1a478887b1b1d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0aa09010ed10218fbdbebf3ace3d814.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d4ac4a0dc21f8010ab1c10e3b49284.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:辽宁省营口地区2022-2023学年高二上学期开学考试数学试题
4 . 如图,有一古塔,在A点测得塔底位于北偏东60°方向上的点D处,塔顶C的仰角为30°,在A的正东方向且距D点60
的B点测得塔底位于北偏西45°方向上(A,B,D在同一水平面),则塔的高度CD约为( )(参考数据:
)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/6bf9f3ef-42b0-4540-97d4-8b3329b3dce7.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28099a02a19419a582bfb6f103fe0a3c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/6bf9f3ef-42b0-4540-97d4-8b3329b3dce7.png?resizew=168)
A.38m | B.44m | C.40m | D.48m |
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6卷引用:辽宁省营口地区2022-2023学年高二上学期开学考试数学试题
5 . 如图,水平放置的
的斜二测直观图是图中的
,若
,
,则
的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/e5532276-d8c2-4d0f-87ab-843d577eed11.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721b53beb60f3f3a2b8330be1e41a900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9458968b0703e1ae8a6f23386fffba11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/9/e5532276-d8c2-4d0f-87ab-843d577eed11.png?resizew=131)
A.![]() | B.![]() | C.8 | D.![]() |
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解题方法
6 . 如图,设
的内角
、
、
的对边分别为
、
、
,
,且
.若点
是
外一点,
,
,则当角D等于多少度时,四边形
的面积有最大值,并求出最大值.
![](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/985a4d0b3f8f6303050fac951cc9774e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f412528e223f268ec4f0f3e268ced80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/3/577717dd-7508-490e-a7da-7ebb6cd774bc.png?resizew=116)
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7 . 已知正数x,y满足:
(
),则下列关系式恒成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbaeb11927f31a82258cf41ac11766f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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4卷引用:辽宁省营口市2021-2022学年高二下学期期末数学试题
解题方法
8 .
中,a,b,c分别为角A,B,C的对边,R是
的外接圆半径,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() |
B.若![]() ![]() |
C.![]() |
D.点G在![]() ![]() ![]() |
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解题方法
9 . 已知向量
,设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e98b2e94b984af3e2a1bd39557b0a63.png)
(1)求函数
的最小正周期;
(2)当
时,方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c7da9541c9451bc053932b953cf729.png)
有两个不等的实根,求m的取值范围;
(3)若函数
,若对于任意的
,存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1a79bb148bd2331b3eda9668aa54e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e98b2e94b984af3e2a1bd39557b0a63.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd65d7c5e979706d391163aee2c18cb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c7da9541c9451bc053932b953cf729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c85f345868bfa9789a661a0c35b7b96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef85b287d0fc9611ac7ba4bade11d864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57045228fec057c04c8a9a3423ee9d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607d4e50b5fd4badca5519bf30b31ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3卷引用:辽宁省营口市2021-2022学年高一下学期期末数学试题
10 . “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.“鮁鱼公主”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,是鲅鱼圈的标志性建筑.高中生李明与同学进行研究性学习,为确定“鲅鱼公主”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
,C点的仰角
从C点测得
,已知楼高BC=40m,则“鲅鱼公主”雕塑的高MN=_____ m
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d18e26590da465edaf3cf67b41acf690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628c4c75a4a2d735324a3e5f410f4e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5990c3408a8139827d12b7009c7b3a2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/241de730-8278-42ac-b275-09c9191058dd.png?resizew=243)
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4卷引用:辽宁省营口市2021-2022学年高一下学期期末数学试题
辽宁省营口市2021-2022学年高一下学期期末数学试题山西省太原师范学院附属中学2022-2023学年高二上学期分班考试数学试题(已下线)6.4.3第3课时余弦定理、正弦定理应用举例(精讲)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)期末专题05 解三角形小题综合-【备战期末必刷真题】