名校
解题方法
1 . 如图,某地计划在一海滩处建造一个养殖场,射线
为海岸线,
,现用长度为1千米的网依托海岸线围成一个
的养殖场
,求
的长度
(2)问如何选取点
,才能使得养殖场
的面积最大,并求其最大面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a4c11d41372175ba3541a44c3376b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc762dc0fe9038201284106554f59cb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead712767c9516eac92bbab34779eecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
(2)问如何选取点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc762dc0fe9038201284106554f59cb0.png)
您最近一年使用:0次
2022-11-30更新
|
384次组卷
|
4卷引用:上海市西南位育中学2021-2022学年高二下学期期末数学试题
22-23高三上·四川·阶段练习
名校
解题方法
2 . 如图,某菜农有一块等腰三角形菜地,其中
,
米.现将该三角形菜地分成三块,其中
.
![](https://img.xkw.com/dksih/QBM/2022/10/13/3086739334479872/3088306730713088/STEM/993b986ca3c84604a6d80a2dc1e40313.png?resizew=216)
(1)若
,求
的长;
(2)求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86c589939053ce21ce0a67cf40054a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55d2649a844e8619de4663a03c233f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16d84bc57102fb66122cfb54d763218.png)
![](https://img.xkw.com/dksih/QBM/2022/10/13/3086739334479872/3088306730713088/STEM/993b986ca3c84604a6d80a2dc1e40313.png?resizew=216)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499c4e9eda4fc946d0195adc93a9d82f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
您最近一年使用:0次
2022-10-15更新
|
1019次组卷
|
7卷引用:河南省驻马店市确山县第一高级中学2022-2023学年高二上学期数学竞赛试题
解题方法
3 . 在
中,内角
,
,
的对边分别为
,
,
,
为
的面积且满足_______.
从①
,②
,③
这三个条件中任选一个补充在上面已知中的横线上,并解答以下问题.
(1)求角
;
(2)在平面四边形
中,
,
,
,设
,试用
表示
,并求
的取值范围.
![](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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
从①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b22577098015a357977b8109d7c87c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0779e463cc08283d74819d05e59ce4b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00e1d3f5cf2c04938bbfdf4db8e2fcd.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)在平面四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae33911e41aa2f7004cc01e336f96bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/691b2f6b551d533c7546d53967170d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb8fb552b9e21dbaba74d11aa747790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9ad150cb1e4cd8977d4cc3d99be17c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01dcbd171693a47c5b932a5e84de10c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
的内角
的对边分别为
, ,若
, .请从下面的三个条件中任选一个,两个结论中任选一个,组成一个完整的问题,并给出解答.
条件:①
;②
;③ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd53d2d3c2a55f89b96267968efb9637.png)
结论:① 求
的周长的取值范围;②求
的面积的最大值.
![](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/bf2d3c6d20ec680b233344a0be893ef4.png)
条件:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af30a92eda72d7b4daf2dc17c0c078af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f315d5911ffaad2a89bfef879e08f621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd53d2d3c2a55f89b96267968efb9637.png)
结论:① 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2022-09-22更新
|
915次组卷
|
3卷引用:广东省揭阳市惠来县第一中学2022-2023学年高二上学期期中数学试题
名校
解题方法
5 . 已知
中,角
的对应边分别为
,且
内切圆的半径
.
(1)求
的值;
(2)设
,若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e35cf929ee8c2d4cd92e50d1871e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39774f5cb9ceff0d3273986db076ab8a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5769718828a494d1a0fa9ed9b0243325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51985d49a29b2ccc1c535ae72eb6c2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c07b101a1a118c7558a9e59b13c95c.png)
您最近一年使用:0次
2022-09-14更新
|
504次组卷
|
4卷引用:重庆市万州第二高级中学2022-2023学年高二上学期开学考试数学试题
解题方法
6 . 如图所示为某学校的轮廓图,
,其中
为教学区,
,墙
长240米,
为校门区域,其中
,若要美化校门区域,决定在墙
与
上装饰高档墙贴,若已知该高档墙贴仅与墙的长度有关,则
( )时,美化墙体造价最低(其中
)
![](https://img.xkw.com/dksih/QBM/2022/7/28/3032426306166784/3033121599275008/STEM/94bc3cb27a27499ebfb8074331fd18e4.png?resizew=205)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b94651d11df3a469d7ac72e6ac74c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06aa91c5d3dc4e9791d4723aa2a345.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6fc8321c3d03abb248cec13cf863c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4397f6e86c69e6b597e7e8635afbfb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b9851ce8fc3f98f26f491d05548f8f.png)
![](https://img.xkw.com/dksih/QBM/2022/7/28/3032426306166784/3033121599275008/STEM/94bc3cb27a27499ebfb8074331fd18e4.png?resizew=205)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 .
中,已知
.
边上的中线为
.
(1)求
;
(2)从以下三个条件中选择两个,使
存在且唯一确定,并求
和
的长度.
条件①:
;条件②
;条件③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4eff42f161212d20e1d0a40a80cbd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)从以下三个条件中选择两个,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da91f5d0b651ec31423661aa7315a910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d5c4c1018ef84146168ca349678fda.png)
您最近一年使用:0次
2022-07-10更新
|
2228次组卷
|
8卷引用:北京市第五中学2022-2023学年高二上学期期末数学试题
北京市第五中学2022-2023学年高二上学期期末数学试题北京市清华大学附属中学2021-2022学年高一下学期期末考试数学试题安徽省宣城中学2023届高三原创模拟金卷(一)数学试题(已下线)考向16 解三角形(重点)江苏省扬州市邗江区2022-2023学年高一下学期期中数学试题(已下线)模块三 专题10(劣构题)基础夯实练(苏教版)(已下线)重难点突破02 解三角形图形类问题(十大题型)-2(已下线)2024年北京高考数学真题平行卷(巩固)
8 . 某班同学利用课外实践课,测量北京延庆会展中心冬奥会火炬台“大雪花”的垂直高度
.在过
点的水平面上确定两观测点
,在
处测得
的仰角为30°,
在
的北偏东60°方向上,
在
的正东方向30米处,在
处测得
在北偏西60°方向上,则
( )
![](https://img.xkw.com/dksih/QBM/2022/6/30/3012367391203328/3014402189066240/STEM/7b54fa0c01904515b58f3a40267b6f19.png?resizew=312)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
![](https://img.xkw.com/dksih/QBM/2022/6/30/3012367391203328/3014402189066240/STEM/7b54fa0c01904515b58f3a40267b6f19.png?resizew=312)
A.10米 | B.12米 | C.16米 | D.18米 |
您最近一年使用:0次
2022-07-03更新
|
408次组卷
|
3卷引用:四川省达州市2021-2022学年高二下学期期末数学(文)试题
9 . 如图,测量电视塔的高度AH时,考虑电视塔四周建筑物密集,测量人员选取与电视塔底H在同一水平面内的两个测量基点B与C,使H,B,C三点在同一条直线上.在B,C两点用测角仪测得A的仰角分别是45°,30°,BC=200m,测角仪的高是1.5m,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8293caa07ae29056041e6f88ab253.png)
______ m.(精确到0.1m,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed8293caa07ae29056041e6f88ab253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e564ac2688c99c2c7e69685c5200d78b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/3/c6da9250-bebd-431b-bb9d-93a898b23ba2.png?resizew=251)
您最近一年使用:0次
2022-07-02更新
|
167次组卷
|
3卷引用:河南省开封市2021-2022学年高二下学期期末数学文科试题
10 . 奋进新时代,扬帆新航程.在南海海域的某次海上阅兵上,一大批国产先进舰船和军用飞机接受了党和人民的检阅.歼-15舰载飞机从辽宁舰航空母舰上起飞,以
千米/小时的速度在同一水平高度向正东方向飞行,在阅兵舰“长沙号”导弹驱逐舰上第一次观察到歼-15舰载飞机在北偏西
,1分钟后第二次观察到歼-15舰载飞机在北偏东
,仰角为
,则歼-15飞机飞行高度为_______ 千米(结果保留根号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ac33ab5f89c80ee135fa1df342154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fefd28b565a42dbd58b8331c0701a61d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bce9ce4f5b6faa8579207e38a78ddad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
您最近一年使用:0次
2022-06-10更新
|
661次组卷
|
7卷引用:湖南省长沙市长郡中学2021-2022学年高二下学期期末复习模拟卷2数学试题
湖南省长沙市长郡中学2021-2022学年高二下学期期末复习模拟卷2数学试题四川省南充市第一中学2021-2022学年高一下学期期中考试数学试题湖北省随州市曾都区第一中学2021-2022学年高一下学期期末模拟数学试题(已下线)高一下学期期末数学考试模拟卷01-2022-2023学年高一数学下学期期中期末考点大串讲(人教A版2019必修第二册)四川省泸州市泸县第五中学2022-2023学年高一下学期期末数学试题安徽省定远中学2022-2023学年高一下学期7月教学质量检测数学试卷(已下线)6.4.3 第3课时 余弦定理、正弦定理应用举例【第二课】“上好三节课,做好三套题“高中数学素养晋级之路