名校
解题方法
1 . 已知函数
的部分图像如图所示.
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723889934524416/2728001939562496/STEM/0c971393-0f7e-4369-af5b-6a439cb125c8.png?resizew=169)
(1)求函数
的解析式;
(2)在
中,角
、
、
的对边分别为
、
、
,若
,
,求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d7d4b440a4b7caf1e150b6a9ff9b31.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723889934524416/2728001939562496/STEM/0c971393-0f7e-4369-af5b-6a439cb125c8.png?resizew=169)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](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/ae27a92e1d1a5f250637f058d25edf02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-05-24更新
|
949次组卷
|
7卷引用:上海市浦东新区2021届高三三模数学试题
上海市浦东新区2021届高三三模数学试题上海市大同中学2021届高三三模数学试题(已下线)课时20 三角函数的图像与性质-2022年高考数学一轮复习小题多维练(上海专用)上海市奉贤区2020-2021学年高二下学期期末数学试题(已下线)5.6 三角函数专题的综合运用(精练)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)新疆克拉玛依市第一中学2020-2021学年高二6月月考数学试题辽宁省六校协作体2023-2024学年高二上学期期初考试数学试题
名校
解题方法
2 . 如图某公园有一块直角三角形
的空地,其中
,
,
长
千米,现要在空地上围出一块正三角形区域
建文化景观区,其中
、
、
分别在
、
、
上.设
.
(1)若
,求
的边长;
(2)当
多大时,
的边长最小?并求出最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ba5383e768dc86e1bfd79c10f96f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed0c25b0cde4d101058efe70766d25cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6818a6807251bee6fb3cc68b4ec473cb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1f08c7640e62e8717abf4d44a6c83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
您最近一年使用:0次
2021-05-10更新
|
1570次组卷
|
10卷引用:上海市虹口区2021届高三二模数学试题
上海市虹口区2021届高三二模数学试题(已下线)课时19 正弦定理、余弦定理和解斜三角形-2022年高考数学一轮复习小题多维练(上海专用)上海市川沙中学2022届高三上学期第一次月考数学试题江西省九江第一中学2021届高三5月适应性考试数学(理)试题上海市复旦大学附属中学2020-2021学年高一下学期期中数学试题(已下线)专题05 解三角形(实际问题)-【解题思路培养】2022年高考数学一轮复习解答题拿分秘籍(全国通用版)(已下线)5.4 正、余弦定理(精练)(提升版)-2上海市嘉定区第一中学2021-2022学年高一下学期期中数学试题(已下线)上海市高一下学期期末真题必刷03-期末考点大串讲(沪教版2020必修二)河南省济源市第一中学2022-2023学年高二下学期开学实验班数学试题
名校
3 . 某公共场所计划用固定高度的板材将一块如图所示的四边形区域
沿边界围成一个封闭的留观区.经测量,边界
与
的长度都是
米,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/e5e66ff3-cc10-4651-9de3-2a7689db1cc0.png?resizew=140)
(1)若
,求
的长(结果精确到米);
(2)求围成该区域至多需要多少米长度的板材(不计损耗,结果精确到米).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea9f9fcdffb61b5366a158ebd115cd3e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/e5e66ff3-cc10-4651-9de3-2a7689db1cc0.png?resizew=140)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386efb61144731e2b148f963f77ca3b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(2)求围成该区域至多需要多少米长度的板材(不计损耗,结果精确到米).
您最近一年使用:0次
2020-12-23更新
|
1013次组卷
|
6卷引用:上海市长宁区2021届高三上学期一模数学试题
上海市长宁区2021届高三上学期一模数学试题(已下线)模块05 三角比-2022年高考数学一轮复习小题多维练(上海专用)上海市实验学校2022届高三下学期3月月考数学试题上海市南洋模范中学2021-2022学年高二上学期初态考数学试题(已下线)期中检测卷(提高卷)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)北京市海淀区清华大学附属中学2022-2023学年高二下学期统练1(3月月考)数学试题
名校
解题方法
4 . 如图,某大型厂区有三个值班室A、B、C.值班室A在值班室B的正北方向2千米处,值班室C在值班室B的正东方向
千米处.
![](https://img.xkw.com/dksih/QBM/2020/10/11/2568883897180160/2568971768389632/STEM/f2529bb58cf44fa6b4960fbda8310767.png?resizew=216)
(1)在道路
处有一个巡更点P,且P、C两点间的距离为1千米,求
的距离;
(2)保安甲从值班室C出发沿
前往值班室A,保安乙从值班室A出发沿
前往值班室B,若甲乙同时出发且保持匀速行走,其中甲的速度为4千米/小时,其中乙的速度为3千米/小时,期间甲乙两人配有最大通话距离为3千米(含3千米)的对讲机,试问两人在巡逻过程中不能保持通话的时间长为多久?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://img.xkw.com/dksih/QBM/2020/10/11/2568883897180160/2568971768389632/STEM/f2529bb58cf44fa6b4960fbda8310767.png?resizew=216)
(1)在道路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
(2)保安甲从值班室C出发沿
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)当
时,求出函数
的最大值,并写出对应的
的集合;
(2)在
中,角
、
、
的对边分别为
、
、
,若
,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5842d2032293e60e71be6746844557.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b4d2cdbc9e45cbc12c47747e6f5314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)在
![](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/3819e3abe5ba10dc15142a6a8a616ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b21f51a8fe0d9f826aa1a5d0017b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-11-12更新
|
1029次组卷
|
6卷引用:上海市七宝中学2020届高三上学期11月月考数学试题
名校
解题方法
6 . 某房地产开发商有一块如图(1)所示的四边形空地ABCD,经测量,边界CB与CD的长都为2km,所形成的角∠
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/299a0311-2f5e-4963-a78e-f3492663db00.png?resizew=232)
(I)如果边界AD与AB所形成的角
,现欲将该地块用固定高度的板材围成一个封闭的施工场地,求至多购买多少千米长度的板材;
(II)当边界AD与CD垂直,AB与BC垂直时,为后期开发方便,拟在这块空地上先建两条内部道路AE,EF,如图(2)所示,点E在边界CD上,且道路EF与边界BC互相垂直,垂足为F,为节约成本,欲将道路AE,EF分别建成水泥路、砂石路,每1km的建设费用分别为
、a元(a为常数);若设
,试用
表示道路AE,EF建设的总费用
(单位:元),并求出总费用
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa8f4d2626f09d229d8d25c2d7706d3a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/299a0311-2f5e-4963-a78e-f3492663db00.png?resizew=232)
(I)如果边界AD与AB所形成的角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
(II)当边界AD与CD垂直,AB与BC垂直时,为后期开发方便,拟在这块空地上先建两条内部道路AE,EF,如图(2)所示,点E在边界CD上,且道路EF与边界BC互相垂直,垂足为F,为节约成本,欲将道路AE,EF分别建成水泥路、砂石路,每1km的建设费用分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a24d95e0548b340af8783a57bdfd05b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e66ed02b303ae107edefdb6ac3bad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d54a032e273b515ed2d0e0aebc2217e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d54a032e273b515ed2d0e0aebc2217e.png)
您最近一年使用:0次
2020高三·全国·专题练习
7 . 在
中,
、
、
分别为边
、
、
所对的角,若
、
、
成等差数列,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/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/7f9e8449aad35c5d840a3395ea86df6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-11更新
|
388次组卷
|
5卷引用:沪教版(上海) 高三年级 新高考辅导与训练 第二章 不等式 二、不等式证明
沪教版(上海) 高三年级 新高考辅导与训练 第二章 不等式 二、不等式证明(已下线)考向21基本不等式-备战2022年高考数学一轮复习考点微专题(上海专用)(已下线)第02讲 不等式(已下线)狂刷31 不等式的综合应用-学易试题君之小题狂刷2020年高考数学(理)人教A版 成长计划 必修5 第三章不等式 3.4-基本不等式
名校
8 . 在△ABC中,
分别为角A、B、C的对边,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c759667b44fddc7c75ab3efe29dc775d.png)
(1)求角A的值;
(2)若
求ΔABC周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c759667b44fddc7c75ab3efe29dc775d.png)
(1)求角A的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05f36f25f0d372f8bb8a0cfe7b75ece9.png)
您最近一年使用:0次
名校
9 . 某菜农有两段总长度为
米的篱笆
及
,现打算用它们和两面成直角的墙
、
围成一个如图所示的四边形菜园
(假设
、
这两面墙都足够长)已知
(米),
,
,设
,四边形
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/e7380007-8063-48f9-aa5a-7371ddf7d4ec.png?resizew=160)
(1)将
表示为
的函数,并写出自变量
的取值范围;
(2)求出
的最大值,并指出此时所对应
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79467022c6cd9d7967379145b9ca2f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05226a3a152c80a359b5d7890bd8f888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2932307706eaaceb5f60a6f8fc67968c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7228a531c3bd6d7c56ea68ac758cc0c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/e7380007-8063-48f9-aa5a-7371ddf7d4ec.png?resizew=160)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2019-08-23更新
|
791次组卷
|
5卷引用:2016届上海市杨浦区高三4月质量调研(二模)(理)数学试题
名校
10 . 在
中,角
、
、
所对的边分别为
、
、
.
(1)若
、
、
成等比数列,且
,求
的值;
(2)若
、
、
成等差数列,且
,求
的周长
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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)
(1)若
![](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/55493e331f88d3d1c396e92b46c97ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44a5ac2c5aa4d08c4ca88546a581649a.png)
(2)若
![](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/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2019-08-21更新
|
388次组卷
|
3卷引用:上海市复兴高级中学2019年5月高三模拟数学试题