解题方法
1 . 在
中,
与
的角平分线交于点D,已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/23/1eb627a2-0e69-4184-aa6b-9f1210ccd541.png?resizew=152)
(1)求角B的大小;
(2)若
,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302efd5266f7868d8c67f7bb09dc2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f0621ef38677882a64752aff9ac4d1b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/23/1eb627a2-0e69-4184-aa6b-9f1210ccd541.png?resizew=152)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
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3卷引用:内蒙古自治区兴安盟2023-2024学年高二下学期学业水平质量检测数学试题
内蒙古自治区兴安盟2023-2024学年高二下学期学业水平质量检测数学试题吉林省名校联盟2023-2024学年高一下学期期中联合质量检测数学试题(已下线)第9题 解三角形在几何图形中的应用(高一期末每日一题)
解题方法
2 . 在
中,
.
(2)若E为
的中点,F是
边上的点,且满足
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463d4d8d92cc9355ff2b3bda0cdf913b.png)
(2)若E为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb91cb9a5a14169845d700fbd95890ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab18cb74b2fedf136b6b4f6e0090c59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a879e7f156922bb6119bb17ee8fba42.png)
您最近一年使用:0次
名校
解题方法
3 . 如图,在平面四边形
中,
的面积为
.
;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec18893a4cd33d79016175413973418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc4bb423ae1aab250af387254a12b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d1f83be1ad430b1b53be53ab8317e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923b7e3dc965e7c4385488a9f99656c9.png)
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2024-04-19更新
|
906次组卷
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4卷引用:内蒙古名校联盟2023-2024学年高一下学期期中联考数学试题
内蒙古名校联盟2023-2024学年高一下学期期中联考数学试题(已下线)模块一 B提升卷 专题6 解三角形(人教B版)河南省封丘县第一中学2023-2024学年高一下学期第二次阶段性测数学试题(已下线)专题05 解三角形(1)-期末考点大串讲(人教B版2019必修第四册)
4 . 如图,在
中,
,D是斜边
上的一点,
,
.
,求
和
;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010a32eb621302fe4a397f7a667d5071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/022365ed188bd800e0b8a2b4ec1e2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c93faa14b0945cebea57ce17ea059d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d822262ff00915910e5b87d81ad1ba.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6bdfb0e1be5583e794ab614a8abe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b38ab9282ec460b20e7d783cb73f24c.png)
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2024-03-26更新
|
777次组卷
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2卷引用:内蒙古自治区包头市2024届高三一模数学(文)试题
名校
解题方法
5 . 在
中,内角A,B,C的对边分别为
.已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecae02f21ba7b7a072d241bd97b8a63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求b;
(2)D为边
上一点,
,求
的长度和
的大小.
![](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/ecae02f21ba7b7a072d241bd97b8a63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)求b;
(2)D为边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0d3b217853c57e212b7f5f13a1b83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868ff1350bd72625328c85c3097cd85e.png)
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2024-03-15更新
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1606次组卷
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4卷引用:内蒙古部分学校2024届高三下学期一模考试数学(理科)试题
6 . 在①
;②
这两个条件中任选一个,补充在下面的问题中,并解答问题.
在
中,内角A,B,C的对边分别为a,b,c,且满足______.
(1)求C;
(2)点D在边AB上,且
,
,求
.
注:如果选择多个条件分别解答,按第一个解答记分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e6b156e9fa57644724e069086e2c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a052bc497334b86472cf0d05ec81124.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求C;
(2)点D在边AB上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7168f26bb78be56b5c7f6dfb1461440b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d676c6baf3d1b3696484f7dd372dd49f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1311f32edf13f8caee5edb03f24a7ba.png)
注:如果选择多个条件分别解答,按第一个解答记分.
您最近一年使用:0次
名校
解题方法
7 . 已知
中,
为
边上的点.
(1)若
为
的中点,且
,求线段
的长;
(2)若
平分![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
①若
,求线段
的长:
②求线段
长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc823c4d0127e384e56c121b27dce970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86c589939053ce21ce0a67cf40054a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb327487277b4311ebc18c29c1abbd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
②求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
8 . 如图,
是直角三角形
斜边
上一点,
.
![](https://img.xkw.com/dksih/QBM/2022/3/14/2936005951496192/2946529035788288/STEM/061d3539c62f45ebb19d70fa371d155c.png?resizew=170)
(1)若
,求角
的大小;
(2)若
,且
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377fc9cc1b6ce499781661672e42ac28.png)
![](https://img.xkw.com/dksih/QBM/2022/3/14/2936005951496192/2946529035788288/STEM/061d3539c62f45ebb19d70fa371d155c.png?resizew=170)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abab42879c8efad195b7876a97f9245.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b6bef27de230acad352f25e954f4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2a44d05b1d387150c4b359e021ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2022-03-29更新
|
2752次组卷
|
11卷引用:内蒙古自治区巴彦淖尔市临河区第三中学2021-2022学年高一下学期第一次月考数学试题
内蒙古自治区巴彦淖尔市临河区第三中学2021-2022学年高一下学期第一次月考数学试题宁夏青铜峡市高级中学2021-2022学年高二下学期普通高中学业水平合格性考试训练数学试题四川省南充市阆中市阆中中学校2021-2022学年高二下学期期中数学(文)试题(已下线)第03讲 正弦定理、余弦定理的应用-【帮课堂】2021-2022学年高一数学同步精品讲义(苏教版2019必修第二册)重庆市实验中学校2021-2022学年高一下学期期末复习(四)数学试题余弦定理、正弦定理应用举例吉林省普通高中友好学校第三十六届联合体2022-2023学年高一下学期期中联考数学试题(已下线)微专题09 解三角形图形类问题(2)-【微专题】2022-2023学年高一数学常考点微专题提分精练(人教A版2019必修第二册)广东省汕头市金山中学2022-2023学年高二下学期期中数学试题福建省宁德第一中学2021-2022学年高一下学期月考2数学试题河南省开封市5县联考2022-2023学年高一下学期第二次月考数学试题
解题方法
9 . 如图所示,经过村庄B有两条夹角为
的公路BA和BC,根据规划拟在两条公路之间的区域内建一工厂F,分别在两条公路边上建两个仓库D和E(异于村庄B),设计要求
(单位:千米).
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938335332122624/2939365264760832/STEM/9e1f04a2499b4b728bbc8f864775eace.png?resizew=141)
(1)若
,求
的值(保留根号);
(2)若设
,当
为何值时,工厂产生的噪音对村庄B的居民影响最小(即工厂F与村庄B的距离最远),并求其最远距离.(精确到0.1,取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d707b346dca9b300e200ed0197429bd.png)
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938335332122624/2939365264760832/STEM/9e1f04a2499b4b728bbc8f864775eace.png?resizew=141)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0b4de7037d1917b0a964db6438df07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
(2)若设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0e401b1494eed08fcaae069f9df132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
您最近一年使用:0次
2022-03-19更新
|
701次组卷
|
3卷引用:内蒙古包头市2022届高三第一次模拟考试文科数学试题(A卷)
10 . 如图,已知在
中,
,点
在边
上,且满足
,则
( )
![](https://img.xkw.com/dksih/QBM/2021/12/28/2882139470028800/2886327225532416/STEM/bf63e6cd700f493cbe626b1014a4c3fe.png?resizew=243)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81e649e7e0ea1fe64fcc0e87752c56e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881481c9d8587a95dc34bcac62cef6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e818e2070226d2243266d2de56a3b306.png)
![](https://img.xkw.com/dksih/QBM/2021/12/28/2882139470028800/2886327225532416/STEM/bf63e6cd700f493cbe626b1014a4c3fe.png?resizew=243)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-01-03更新
|
1946次组卷
|
10卷引用:内蒙古包钢第一中学2022届高三一模数学(文)试题
内蒙古包钢第一中学2022届高三一模数学(文)试题浙江省绍兴市诸暨市海亮高级中学2021-2022学年高三上学期12月选考数学试题(已下线)11.2 正弦定理-2021-2022学年高一数学10分钟课前预习练(苏教版2019必修第二册)河北省石家庄市藁城新冀明中学2022届高三上学期12月月考数学试题浙江省绍兴市诸暨市海亮高级中学2022届高三下学期高考前最后一卷数学试题(已下线)第05讲 正弦定理和余弦定理的应用 (精讲)-2广西桂林市中山中学2022-2023学年高三上学期10月月考数学试题黑龙江省牡丹江市第二高级中学2023届高三上学期期中数学试题(已下线)第四章 三角函数与解三角形 专题6 多边形中边角的求法福建省福州第二中学2023-2024学年高二上学期第二学段考试数学试题