1 . 如下图所示,某公司计划建造一座滨海公园,直线
与
均为海岸沿线,
是以
为直角的直角三角形,线段
为“滨海栈桥”,线段
将建成“阳光沙滩沿线”,线段
将建成“灯塔沿线”.现要求“滨海栈桥”长度维持在
不变的基础上,可适当调整“阳光沙滩沿线”与“灯塔沿线”的设计长度
.预计建成后,每
“阳光沙滩沿线”可让公司日均盈利
万元,每
“灯塔沿线”可让公司日均盈利
万元,为使公司日均盈利最大,则应将“灯塔沿线”设计为_________
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97285f9b02878e22a071e97fdb3f8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783a33f7abced858361ee222f26d2543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3f410ce8d064f830e6b7a1ce9e3832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890f0b4e81634bb7e013412698640f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1890f0b4e81634bb7e013412698640f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
您最近一年使用:0次
解题方法
2 . 已知
,
的内角
的对边分别为
,
,对
,都有
成立,从条件①,条件②,条件③中选择一个作为已知,
(1)求角
;
(2)求
周长的取值范围.
条件①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a31c67a17e593e1c453749d92787dd.png)
条件②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0b9b24c44f56961262b7ed05b5f0cf.png)
条件③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a495b029206fc3596d09276719c40d.png)
(注:如果选择多个条件解答,按第一个解答计分.)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cffd6ce2d8bb0714c90bf559381e852.png)
![](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/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/083a9b98c965034146fd31daedb6c3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
条件①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a31c67a17e593e1c453749d92787dd.png)
条件②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf0b9b24c44f56961262b7ed05b5f0cf.png)
条件③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a495b029206fc3596d09276719c40d.png)
(注:如果选择多个条件解答,按第一个解答计分.)
您最近一年使用:0次
2022-05-17更新
|
601次组卷
|
3卷引用:山东省肥城市2022届高三下学期高考适应性训练数学试题(二)
名校
3 . 如图所示,
是边长为6的等边三角形,G是它的重心,过G的直线分别交线段AB,AC于E,F两点,
,当
在区间
上变化时,则
的取值范围是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/b4027526-f264-4473-a8b8-af3e5ee30ba2.png?resizew=124)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575025a5b31355d27edaffa3df1fc310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb935734bfd51c3338f223934a668e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd4db7d7d023725a1ffe7bf3a5ac97.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/19/b4027526-f264-4473-a8b8-af3e5ee30ba2.png?resizew=124)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知O为坐标原点,
,
,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d026d2298b74855ce6b9550ed60bcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21799d2a8719719b1f5f76a398ec61ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c0b1fa30724cd1650f92a3c333570a.png)
A.![]() | B.![]() ![]() |
C.满足![]() | D.存在一点P使得![]() |
您最近一年使用:0次
名校
解题方法
5 . 对于数列
,若存在正整数M,同时满足如下两个条件:①对任意
,都有
成立;②存在
,使得
.则称数列
为
数列.
(1)若
,
,判断数列
和
是否为
数列,并说明理由;
(2)若
数列
满足
,
,求实数p的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bade4623a0b3c76e2b0447501f389a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee632cfe1cc460fbcd32b9e8a630a543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c18d0bc4997e313bc272ddc5a566221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ab9017f0c3eefa1f5f27179586713a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943c93c27edb900ad23df19fb24185de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/239016a408e2b0de90c20b5c7b3ec59c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c9c1617a0b6a253652713676791ac8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613915e81a8eaf5363040516a6e27cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6aca864ee6207c4e8aefcd0972e7ce.png)
您最近一年使用:0次
2022-04-27更新
|
499次组卷
|
3卷引用:专题17 数列探索型、存在型问题的解法 微点1 数列探索型问题的解法
名校
6 . 如图,在
中,
,
,
为底边
上的动点,
,
,沿折痕
把
折成直二面角
,则
的余弦值的取值范围为( )
![](https://img.xkw.com/dksih/QBM/2022/4/20/2962267838799872/2964160711024640/STEM/886777ee-ac98-4478-a9f3-88004b0d90bf.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3a059203f65774fd8f321faa9e8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b869cd0749977da5baf628a8c4b771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f23a3f0152172867d1265b82ff4ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f470f50c68e2ab49522f66b9fa2d553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639f250909f28ac4fc7f822798f52b98.png)
![](https://img.xkw.com/dksih/QBM/2022/4/20/2962267838799872/2964160711024640/STEM/886777ee-ac98-4478-a9f3-88004b0d90bf.png?resizew=174)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
7 . 如图,半径为1的光滑圆形轨道圆
、圆
外切于点
,点
是直线
与圆
的交点,在圆形轨道
、圆
上各有一个运动质点
,
同时分别从点
、
开始逆时针绕轨道做匀速圆周运动,点
,
运动的角速度之比为2:1,设点
转动的角度为
,以
为原点,
为
轴建立平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
为锐角且
,求
、
的坐标;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4f6f74444b2b7947fc6e35c8d62322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/16/a3caae4b-8289-42c1-947d-668cd04ac031.png?resizew=174)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5bb3cfc78d9bc2316c66f79c45955e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
您最近一年使用:0次
2022-08-15更新
|
583次组卷
|
3卷引用:辽宁省沈阳市沈河区第二中学2021-2022学年高三数学暑假验收试题
名校
解题方法
8 . 一般地,如果函数
的定义域为
,值域也是
,则称函数
为“保域函数”,下列函数中是“保域函数”的有_________ .(填上所有正确答案的序号)
①
,
; ②
,
;
③
,
; ④
,
;
⑤
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19024088b481805fd372b7b2ffdd8e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928dc7b88802aa89c8f0071c66b3c628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afa36d64d3fe306d08480a7845f28ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24aa16b780156e18f12baa2b8ee0f9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c6190c7d27f739d39812e20e83af684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7973e7275ff254569d0abfb03cc5c875.png)
⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ccf41f4af0298c2f40e0d38a8ff682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
您最近一年使用:0次
名校
9 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96065ac683df75f0354cae677ee48c7e.png)
A.若对于任意的![]() ![]() ![]() |
B.若对于任意的![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2022-03-31更新
|
2535次组卷
|
8卷引用:山东省聊城市2022届高三一模数学试题
山东省聊城市2022届高三一模数学试题江苏省南京市金陵中学2022届高三下学期复习检测(二)数学试题(已下线)临考押题卷02-2022年高考数学临考押题卷(新高考卷)(已下线)押新高考第10题 三角函数-备战2022年高考数学临考题号押题(新高考专用)辽宁省沈阳市皇姑区2023届高三上学期期中数学试题辽宁省重点高中沈阳市郊联体2021-2022学年高一下学期期中考试数学试题(已下线)专题04 ω 的取值范围与最值问题(2)(已下线)专题08 三角函数图象与性质2-期末复习重难培优与单元检测(人教A版2019)
10 . 某地进行老旧小区改造,有半径为60米,圆心角为
的一块扇形空置地(如图),现欲从中规划出一块三角形绿地
,其中
在
上,
,垂足为
,
,垂足为
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
___________ (用
表示);当
在
上运动时,这块三角形绿地的最大面积是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08361173b096d18b33210a955e109f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84733f9dc908ceb11459cc2aed580ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11819198f8b689e0b484bc6f9fdf0b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032450dd58816705000e9902e6fe246a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://img.xkw.com/dksih/QBM/2022/3/29/2946888015495168/2947160820842496/STEM/666c35e8e6b6429a80d2f3dde7ce3c9d.png?resizew=241)
您最近一年使用:0次