名校
1 . 如图,在边长为2的菱形
中,
,
,点Q是
内部(包括边界)的一动点,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0ea17f12f933c4bafeb7b13a2635811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b773e10fc7ce108ea14ce5002d4fd5.png)
您最近一年使用:0次
2024-04-23更新
|
473次组卷
|
2卷引用:广东省珠海市第二中学2023-2024学年高一下学期第二阶段考试数学试题
名校
2 . 函数
(
,
,
)的部分图像如图所示.
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图像上的各点的纵坐标保持不变,横坐标伸长为原来的2倍,得到函数
的图像,若
时,
的图像与直线
恰有三个公共点,记三个公共点的横坐标分别为
,
,
且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ae6678d22dc7b9125533b2c873b9e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1734dcc7697235124fbaba4ba6033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc22711acd55161a5d42f0050f8d7130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61a10c3b431d95bb70bacd0a793d5582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604215c53d7926f0c82920195a632c4a.png)
您最近一年使用:0次
2024-04-22更新
|
742次组卷
|
5卷引用:广东省佛山市顺德区郑裕彤中学2023-2024学年高一下学期月考一数学试卷
解题方法
3 . 如图,在平面直角坐标系
中放置着一个边长为1的等边三角形
,且满足
与
轴平行,点
在
轴上.现将三角形
沿
轴在平面直角坐标系
内滚动,设顶点
的轨迹方程是
,则
的最小正周期为______ ;
在其两个相邻零点间的图象与
轴所围区域的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
解题方法
4 . 已知
三个内角A,B,C的对应边分别为a,b,c,且
,
.则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b3a08865b7605f248db6669776c62f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
5 . 某大型商场为迎接新年的到来,在自动扶梯
(
米)的
点的上方悬挂竖直高度为5米的广告牌
.如图所示,广告牌底部点
正好为
的中点,电梯
的坡度
.某人在扶梯上点
处(异于点
)观察广告牌的视角
,当人在
点时,观测到视角
的正切值为
.
的长为
米,用
表示
;
(2)求扶梯
的长;
(3)当某人在扶梯上观察广告牌的视角
最大时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b73b83c5c8b32feea33d367096724fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabecf66d94e4094f9cc46fd8ee050f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f34ccef3dae6e2ff80cf5224c7bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab52a9c7f7b361ad0488f01d714135fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13b2bedd7b3a411b9c4f4efec4fed7d.png)
(2)求扶梯
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(3)当某人在扶梯上观察广告牌的视角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
您最近一年使用:0次
2024-04-18更新
|
586次组卷
|
2卷引用:广东省汕头市潮阳一中明光学校2023-2024学年高一下学期5月月考数学试题
6 . 已知函数
(其中
).
为
的最小正周期,且满足
.若函数
在区间
上恰有一个最大值一个最小值,
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b51fc74390c262bc0bcaeb20369c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4e9d0c6e1d784870a39802b6b9a2d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd46fa8775ffac60385a9c1f5f68940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
7 . 在①
,②
,③
这三个条件中任选一个,补充在下面问题中,并完成解答.
在
中,角A、B、C的对边分别为a、b、c,已知______.
(1)求角C;
(2)若
,
的面积
,求
的周长l的取值范围;
(3)若
,
,求
.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b130a414a093a0543bcb448023ab8ade.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5319251a7f37501d738a9a6a6b6f5349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d712831a8ac270ed392a9a11b25d30f.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)求角C;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4580cc037c0c760c728cdbb74a8154c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e790d299891bbb03ee1f87fd098920f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132654b29341e460bc97af024d3dbbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be084f2756b335b95f8edd04af8cfcf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defdf69f0eb7e573b976a9b9d8027e79.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2024-04-17更新
|
329次组卷
|
2卷引用:广东省深圳市南山区第二高级中学2023-2024学年高一下学期第四学段考试数学试题
解题方法
8 . 已知正项数列
,满足
(其中
).
(1)若
,且
,证明:数列
和
均为等比数列;
(2)若
,以
为三角形三边长构造序列
(其中
),记
外接圆的面积为
,证明:
;
(3)在(2)的条件下证明:数列
是递减数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5111d17779f9cda4a54c61cfefc2f166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55057cbf3fe8a213b1fa07a6d815a7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f098a8e28129cc098a094af19b4224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec12a9a60f82467bf7bf834a9a9b1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602470bce6410555c9696c5a9e5ab7f8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077b55d1a38aed465eeb76f208425cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54256d8902384e68221e9a95cde739c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c3e9493b3005f0e995e9b5c323433d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f8e6f90b4a8eb54ffe62bf8c7cd618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c3e9493b3005f0e995e9b5c323433d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838582d690e0d124d0355782b094ebbb.png)
(3)在(2)的条件下证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
您最近一年使用:0次
9 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c780f6ba74a3c275e8928f82ab0498ea.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
10 . 如图,某公园摩天轮的半径为40m,圆心距地面的高度为50m,摩天轮做匀速转动,每3min转一圈,摩天轮上的点P的起始位置在最低点处.
(其中
,
,
,求函数
解析式及2023min时点P距离地面的高度;
(2)当点P距离地面
及以上时,可以看到公园的全貌,求转一圈中有多少时间可以看到公园的全貌?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26a5f544ec4f124f42ce0061603a757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e27a2acfe64bfc8e49389874e457698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acb17843c51402a1f7cd9b07542597b9.png)
(2)当点P距离地面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c58835ac188739ebcef2c1b6e7af1.png)
您最近一年使用:0次