名校
解题方法
1 . 已知
的内角
,
,
的对边分别为
,
,
,且
,
.
(1)若
,求
,
的值;
(2)若
的面积为
,求
的大小及
的周长.
![](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/6e4f287c96efeeafcbd6eec03d85dfcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1f4e19fcf82af19ae7f70cb49685588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52bc912794df9a0cf7e4eecbc2e0f7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
2 . 已知在
中,角
的对边分别为
,且
.
(1)求
;
(2)若
为锐角三角形,且
,求
面积的取值范围.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e76d1daae086f2dfb91868c898fc2c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-06-08更新
|
1086次组卷
|
2卷引用:陕西省西安市高新第一中学2023-2024学年高一下学期第二次月考数学试题
名校
解题方法
3 . 设
的内角
所对的边分别是
且向量
满足
.
(1)求A;
(2)若
,求BC边上的高
.
![](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/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304c72f61e123c34db3e4eec41d1e5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b907456faac5d0995bd73f7da94c9b8.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267930e3240f9e164c01fc72e9be3ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
您最近一年使用:0次
2024-06-07更新
|
1443次组卷
|
2卷引用:陕西省西安市第一中学2024届高三下学期模拟考试数学(文科)试题
名校
解题方法
4 . 已知a,b,c分别是△ABC的三个内角的对边,且
.
(2)若
,将射线BA和CA分别绕点B,C顺时针方向旋转
,
,旋转后相交于点D(如图所示),且
,求AD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db70fc431bf6feaf60d17266fab392a9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1006d62fa5723dc36286b8f5494f993e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2dba563554805d236372ab3d862cecd.png)
您最近一年使用:0次
2024-05-28更新
|
431次组卷
|
3卷引用:陕西师范大学附属中学2023-2024学年高三第八次模考数学(理科)试题
名校
5 . 如图,在平面四边形
中,
,
,
的角平分线与
相交于点
,且
.
的大小;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d1087177e8dd273ae48ad67b60e7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9b915af74a07dac2fd4cab311a515a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdb8eca20ce2c918ea4034ea15210c7f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
6 . 在
中,角
所对的边分别为
,已知
.点
在线段
上,且
平分
.
(1)求证:
;
(2)求
的长度.
![](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/a9990de34c30ad03fa2c5fabd07cc3d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.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/8fabb884dc5f9609de491245463bbe9a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/207940681c14e76b47f6bfd4c1c9580e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
2024-05-27更新
|
482次组卷
|
2卷引用:陕西省部分学校(菁师联盟)2024届高三下学期5月份高考适应性考试理科数学试题
解题方法
7 . 记
的内角
所对的边分别为
,已知__________.
在①
,②
,③
,这三个条件中任选一个填在上面的横线上,并解答问题.
(1)求角
;
(2)若
的面积为
,求
的最小值.
注:如果选择多个条件分别解答,则按第一个解答计分.
![](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)
在①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c52ca9743dcde7046e63d17b54efab8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566dede8244cf772255d0a4302b9573f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13beee08c419ad5116b836111bec9fe6.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7440fd7264bbbf27e7282e9728279ebd.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
8 . 某海域的东西方向上分别有
两个观测点(如图),它们相距
海里,现有一艘轮船在
点发出求救信号,经探测得知
点位于
点北偏东45°方向,位于
点北偏西75°方向,这时位于
点南偏西45°方向且与点
相距80海里的
点有一救援船,其航行速度为28海里/小时.
点到
点的距离
;
(2)若接到指示命令
处的救援船立即前往
点营救,求该救援船到达
点需要的最短时间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5145bb35d11b15d5d7cfea3f5bbf09e.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/7f9e8449aad35c5d840a3395ea86df6d.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/c5db41a1f31d6baee7c69990811edb9f.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/d40b319212a7e7528b053e1c7097e966.png)
(2)若接到指示命令
![](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
名校
解题方法
9 . 某市政府计划在一处河道湿地修建一个公园.湿地公园呈五边形形状,如图所示,其中
长为600米,在BC上选择一点
作为公园入口,从公园入口出发修建两条绿道
其中绿道终点
两点分别在边界
上,且
.
(2)为了方便游客,打算在湿地公园原有规划基础上增添一条商业步道EF,若建设绿道平均每米需花费200元,建设商业步道平均每米需花费400元,试求建设绿道与商业步道总花费的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01a2627dbc597235c2e6cab7f0cb71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/967698dc6a77f482799a4d09c724de29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fa8bd3792adb4f75697357808cd50c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c48f3e76e6ce74e963374b55626f534.png)
(2)为了方便游客,打算在湿地公园原有规划基础上增添一条商业步道EF,若建设绿道平均每米需花费200元,建设商业步道平均每米需花费400元,试求建设绿道与商业步道总花费的最小值.
您最近一年使用:0次
解题方法
10 . 已知
的内角
的对边分别为
,且
.
(1)求
;
(2)若
,
,求
的面积.
![](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/a80835fa2ab9089ff89dedda251645c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d803e27871810c6b8a7d6169144dd61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2024-04-23更新
|
612次组卷
|
2卷引用:陕西省洛南中学2024届高三第十次模拟考试理科数学试题