名校
解题方法
1 . 若实数集
对
,均有
,则称
具有Bernoulli型关系.
(1)若集合
,判断
是否具有Bernoulli型关系,并说明理由;
(2)设集合
,若
具有Bernoulli型关系,求非负实数
的取值范围;
(3)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2df79c96894e48585d810e2d1180b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de62c03953e609ea331280b1e27ba701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42acae4bf2a6bead9d904b70d0480fc0.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5055c43ef4c493c056609f617f38e108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef4609431a6fc9f2755d8e8ca6617b0.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9d408eb7f234bea73e86bff6a453f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5596a9fe31bffbe73af20f611a9a574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/953916e76840b10bf27302f42ad98cb9.png)
您最近一年使用:0次
2024-05-12更新
|
1027次组卷
|
3卷引用:福建省福州市2024届高三第三次质量检测数学试题
名校
解题方法
2 . 如图,在三棱柱
中,平面
平面
,
.
为
中点,证明:
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0671b4776e142e17a79af5b3f0378ef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d16867cc0fe4d229ff757b6bc44dcac7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf1cc9995c3846117daa8cf10aadf22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4525d2a5cfdd4c82f62c28177d6cf9.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447ead7907c10dad61dd486b66831d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
您最近一年使用:0次
2024-04-16更新
|
1711次组卷
|
4卷引用:福建省福州市2024届高三第三次质量检测数学试题
名校
解题方法
3 . 已知函数
,
.
(1)当
时,求曲线
在
处的切线方程;
(2)求
的单调区间;
(3)设
是函数
的两个极值点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1237be7b7b3712cfe108061534ef7fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2aabc96b7433bba077ceac76d8f0d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00210f79b04a8f6bc1922433d00bc89a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ac3f646599fe63ff886d34750e4e6a.png)
您最近一年使用:0次
2024-01-25更新
|
1820次组卷
|
5卷引用:福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题
福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题天津市宁河区2024届高三上学期期末数学试题(已下线)重难点2-4 利用导数研究不等式与极值点偏移(8题型+满分技巧+限时检测)(已下线)2023-2024学年高二下学期第一次月考解答题压轴题十六大题型专练(2)(已下线)模块2专题7 对数均值不等式 巧妙解决双变量练
名校
解题方法
4 .
年
月
日至
月
日在国家会展中心举办中国国际进口博览会期间,为保障展会的顺利进行,有
、
两家外卖公司负责为部分工作者送餐.两公司某天各自随机抽取
名送餐员工,统计
公司送餐员工送餐数,得到如图频率分布直方图;统计两公司
样本送餐数,得到如图送餐数分布茎叶图,已知两公司
样本送餐数平均值相同.
的值
(2)求
、
的值
(3)为宣传道路交通安全法,并遵循按劳分配原则,
公司决定员工送餐
份后,每多送
份餐对其进行一次奖励,并制定了两种不同奖励方案:
方案一:奖励现金红包
元.
方案二:答两道交通安全题,答对
题奖励
元,答对
题奖励
元,答对
题奖励
元.员工每一道题答题相互独立且每题答对概率为
与该员工交通安全重视程度相关).
求下表中
的值(用
表示);从员工收益角度出发,如何选择方案较优?并说明理由.
附:方案二综合收益
满足公式
,
为该员工被奖励次数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e946baf1316ac1f219398ecedadf6cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0b71b8d2c183154221f717ce09077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.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/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4204a934372022fa08a7e739ab46a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4204a934372022fa08a7e739ab46a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)为宣传道路交通安全法,并遵循按劳分配原则,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
方案一:奖励现金红包
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
方案二:答两道交通安全题,答对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab536a2d8d4048721c6cdc4ca63d62f.png)
求下表中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adad9633b73dfbbb3d84b4f15979e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
附:方案二综合收益
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4091129b29f7c6be1d0ee9ff2dd4fbec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
方案二奖励 |
|
|
|
概率 |
您最近一年使用:0次
2024-01-13更新
|
498次组卷
|
8卷引用:福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题
福建省莆田市莆田第一中学2024届高三上学期第一次调研数学试题上海市浦东区2023-2024学年高二上学期期末考试数学试卷上海市浦东新区2023-2024学年高二上学期期末数学试题(已下线)第3讲:决策的选择问题【练】(已下线)第04讲 7.3.1离散型随机变量的均值-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第三册)(已下线)7.3.1 离散型随机变量的均值——随堂检测(已下线)专题06 概率初步(续) 成对数据的统计分析(已下线)专题03 随机变量及其分布列-3
5 . 在直角坐标系
中,已知抛物线C:
的焦点为F,过F的直线l与C交于M,N两点,且当l的斜率为1时,
.
(1)求C的方程;
(2)设l与C的准线交于点P,直线PO与C交于点Q(异于原点),线段MN的中点为R,若
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9602114f45bdcb304e02710ae7bc0e08.png)
(1)求C的方程;
(2)设l与C的准线交于点P,直线PO与C交于点Q(异于原点),线段MN的中点为R,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958a456851be27cba25117c3ff17b066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed283a253b61df01f2a1cdc0cd8003f3.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)求曲线
在
处的切线方程;
(2)当
时,求函数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f438eca2954862a6a7dc020ffeb1e9a.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c3319647314c3b6d82958a909acd2a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ccb1760666c111e27c5453d5b5953d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
名校
解题方法
7 . 已知非零向量
,
满足
,且
.
(1)求
;
(2)当
时,求
和向量
与
的夹角
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7958a6bddd1d578bbd6fbcb92e3f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5bcdeb5ab6261a5f395969a0a48a54.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cfe95f520c7b454ceabb2ae9af0a87.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3840242854018cbf12f95aae9e855909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16111d1425b87ba82ea6a706d1dfb3ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa3e1ce447d158f6084a66841307a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2024-03-19更新
|
590次组卷
|
6卷引用:福建省福州高新区第一中学2024届高三上学期第一次月考数学试题
福建省福州高新区第一中学2024届高三上学期第一次月考数学试题辽宁省葫芦岛市2022-2023学年高一下学期期末数学试题(已下线)第六章 本章综合--归纳本章考点【第一课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)2.5 从力的做功到向量的数量积6种常见考法归类(2)-【帮课堂】(北师大版2019必修第二册)(已下线)专题09高一数学下学期期末考点大汇总-《期末真题分类汇编》(人教B版2019必修第四册)(已下线)专题08 期末必刷解答题专题训练的7种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)
名校
解题方法
8 . 已知集合
,集合
.
(1)若
是
的必要不充分条件,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/279fba9ba2f325d2d3c95f8caede1cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60990e996ff1f3f6c13c57208183b96.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-12更新
|
486次组卷
|
6卷引用:福建省福州市闽侯县第一中学2023-2024学年高一上学期第二次月考数学试题
福建省福州市闽侯县第一中学2023-2024学年高一上学期第二次月考数学试题湖南省湖湘教育三新探索协作体2023-2024学年高一上学期11月期中联考数学试题黑龙江省哈尔滨市第九中学校2023-2024学年高一上学期12月月考数学试卷(已下线)高一上学期第三次月考数学模拟试卷(第1章-第4章)-【题型分类归纳】(人教A版2019必修第一册)云南省大理市下关第一中学2023-2024学年高一下学期开学考试数学试题(已下线)1.2常见逻辑用语(高三一轮)【同步课时基础卷】
9 . 已知
,
,且
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b9189638705753a50b5dc1c6ef54ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395c3f9e1640b5a6c33302fba6d018a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bda318adf65c6b6fd45f651365f52346.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd1b4795b3f33cbb0f9c164409ad58d.png)
您最近一年使用:0次
解题方法
10 . 点
在单位圆
上运动,点
的横坐标为点
的横坐标的
倍,纵坐标相同.
(1)求点
的轨迹
的方程;
(2)已知
、
为曲线
与
轴的左、右交点,动直线
交曲线
于
、
两点(均不与
、
重合),记直线
的斜率为
,直线
的斜率为
,且
,试问动直线
是否恒过定点?若过,求出该点坐标:若不过,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)已知
![](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/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
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