1 . 已知函数
.
(1)求
的最小正周期和单调区间;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c4685835c0129a7c843f61254c294.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e8e96f202cf255d496489cc0ba7c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5653b4620620d07b555e4a6c9ff91f6.png)
您最近一年使用:0次
2024-05-06更新
|
1308次组卷
|
10卷引用:湖北省咸宁市崇阳县众望高中2022-2023学年高一下学期开学检测数学试题
湖北省咸宁市崇阳县众望高中2022-2023学年高一下学期开学检测数学试题江苏省南通市启东市2019-2020学年高一上学期期末数学试题广东省茂名市五校联盟2020-2021学年高一下学期期末数学试题(已下线)专题5.9 三角函数(能力提升卷)-2022-2023学年高一数学必考点分类集训系列(人教A版2019必修第一册)安徽省合肥市庐江县2023-2024学年高一上学期期末教学质量检测数学试题广东省佛山市南海区狮山石门高级中学2023-2024学年高一下学期第一次统测(4月)数学试题(已下线)模块五 专题2 全真基础模拟2(人教B版期中研习)(已下线)模块二 专题4 三角恒等变换中策略问题(苏教版)(已下线)模块二专题4三角恒等变换中策略问题(高一下人教B版)(已下线)模块五 专题2 全真基础模拟2(苏教版期中研习高一)
解题方法
2 . 如图,在四棱锥
中,底面
为菱形,
底面
,
为线段
的中点,
,点
在线段
上(不含端点),再从下面三个条件中选择一个条件作为已知条件.
四点共面 ②
平面
③
∥平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
的值;
(2)求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ac7fe2f4d4d9dc49fecb0974a4e5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67466c080ea003a711a7e9f5bb3db716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d289a261d24aa6051c005aebafc08fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10feb936bdeb0d8be1e7cb41b451fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071159cac13097ea0928285bc1be66d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3b1771fbc438ff888bd28bb1dadcee.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffee8b7eff437080a0936d837ceabe95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffafe757b2f1ab1b6bca20e95290304.png)
您最近一年使用:0次
解题方法
3 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
,求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18617ef38a8df95ff3d66fa811fd56c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd743cef52911bf275fb737557c6c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcfa3e340b3976832d450dd4ae7e7a7.png)
您最近一年使用:0次
解题方法
4 . 函数
图像与
轴的两交点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
,若
有两个零点,求实数
的取值范围;
(2)证明:
;
(3)证明:当
时,以
为直径的圆与直线
恒有公共点.
(参考数据:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c80e4cb0344c6e0c4541e86c5fb08a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b67a988eee36733f064546a4b232092.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9113131c37fe929112eab275820a1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b725fdc8de9800f2692f6fea8585b1e9.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b87ecc31822d729a45488d803fff4e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feac29c5d1c1bc3e6dd5ad931fbd332b.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3dcd81aeafbda57f23cdc852ab6c35a.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a33a3d0c1bc303aff8d2d9bd16a7a71.png)
(1)求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a33a3d0c1bc303aff8d2d9bd16a7a71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b352192355d5965498cffd01511ef18.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231813e1ae35224ab38f9b9c9fa04154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26cd826bf9ed9ca6e2bbb477da71c90b.png)
您最近一年使用:0次
2024-03-14更新
|
992次组卷
|
2卷引用:湖北省新高考联考协作体2023-2024学年高一下学期2月收心考试数学试卷
6 . 求函数
.
(1)定义域和值域;
(2)增区间和减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f4717b988d3a47added61c80fcffd2.png)
(1)定义域和值域;
(2)增区间和减区间.
您最近一年使用:0次
名校
7 . 定义在
上的函数
,如果满足:对任意
,存在常数
,
恒成立,则称
是
上的有界函数,其中
称为
的上界.
(1)若
在
上是以2为上界的有界函数,求
的取值范围;
(2)已知
,
为正整数,是否存在整数
,使得对
,不等式
恒成立?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea232de27d21a2646fd4520ea0726bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7836ea275ce308c287cf62388c6ac57a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4701eeb94f13293a0bc0f919674a592e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72620c113a6fe83273803a9ac24baa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab057c66354ff90f62f53903fcf88eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
8 . 已知椭圆
的焦距为4,且点
在椭圆
上.
(1)求椭圆
的方程;
(2)已知直线
,过右焦点
的直线(不与
轴重合)与椭圆
交于
,
两点,过点
作
,垂足为
.设点
为坐标原点,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009b65882b63f90204ca1402d9b4be64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/e13b505788d3d02bf232ac637fc3a8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7189182cc23d759be2764d141952737b.png)
您最近一年使用:0次
名校
解题方法
9 . 已知圆
的圆心在第一象限且在直线
上,与
轴相切,被直线
截得的弦长为
.
(1)求圆
的方程;
(2)设
是圆
上任意一点,
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b740d1f7ec8da97b4bd1f55378f9fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff61fe9d4e93d7cc338489d1c99c40.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee82573986d4fa6a7ee1b5f397edae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246634ea7101477592084265f5d59cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210ef57eda39433ffafcd56ec80f8003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385ac9339d7fb491c5dee2bbc0c5b5a8.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
的顶点
,
边上的中线
所在的直线方程为
,
的内角平分线所在的直线方程为
,求:
(1)顶点
的坐标;
(2)直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c737ce37d2a8fc149ce0aaa0d97639e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc8b515c0b57767af60c121f89277af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
(1)顶点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次