名校
解题方法
1 . 已知
是平面向量,且
是单位向量,若非零向量
与
的夹角为
,向量
满足
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a224ffb25cc28164e51763f5130754c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cefefd659d15c2cf0c6b88ba53af680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bf133b5a1cc2e97b988af7449efc06.png)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
名校
2 . 若函数
存在唯一极值点,则实数
的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d189461213ef47e1b6f9c98607025f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-04-19更新
|
689次组卷
|
4卷引用:上海市金山中学2023-2024学年高二下学期5月月考数学试卷
上海市金山中学2023-2024学年高二下学期5月月考数学试卷广西壮族自治区河池市河池十校联体2023-2024学年高二下学期第一次联考(4月)数学试题重庆市乌江新高考协作体2024届高考模拟监测(一)数学试题(已下线)第03讲 导数与函数的极值、最值(七大题型)(讲义)
名校
解题方法
3 . 已知数列
满足
,
,且
(
,
),设
(
表示不超过实数
的最大整数),又
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1928c254cfada1f75a5cd1e34db5a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cbb3fab99a86b9de36c8bf77b10c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a86262ad96692be43e4abf860f2f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce54ffa660bbadef4caef70a62fbfbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741435edba5a39bbfcaa14d1731e27fd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-17更新
|
400次组卷
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3卷引用:上海市金山中学2023-2024学年高二下学期5月月考数学试卷
名校
4 . 已知双曲线
的左、右焦点为
.
,且
,
是正三角形,求
的方程;
(2)若
,点
在双曲线
的右支上,且直线
的斜率为
.若
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eedf64b773d26fa9c03af6bf23164d6.png)
(3)在(1)的条件下,若动直线
与
恰有1个公共点
且与
的两条渐近线分别交于
记
的面积为
,
的面积为
(
是坐标原点),问:
是否存在最小值?若存在,求出该最小值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac6e2918634026c28dcabcf9cd83514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90c19c80e3cae271b3c9813ec19ccac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8ad9e94d07405a6be585f81a0d623b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837c6fdcec3eea96b7db702a837dfe2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2210852f45c6cf82cb261b188a4be475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eedf64b773d26fa9c03af6bf23164d6.png)
(3)在(1)的条件下,若动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d5b1313c6120ce1171344f8b377383.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b4245d82d25961494e2944ee55e0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271ae1a44ccad26741b6f29c9794dfaa.png)
您最近一年使用:0次
2024-03-10更新
|
681次组卷
|
3卷引用:上海市金山中学2023-2024学年高二下学期5月月考数学试卷
名校
5 . 已知函数
为奇函数.
(1)求
的值;
(2)若
在
上恒成立,求实数
的取值范围;
(3)设
,若
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38371ea57658e033f41ddf5e51c91f1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6278327c9a9968d1169ce3a125f2d3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7591504e793baf519c8b0e3ea8bfc508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e47d4c4c6d534d98138e98474804ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-29更新
|
1061次组卷
|
5卷引用:上海市金山中学2023-2024学年高一下学期3月月考数学试卷
上海市金山中学2023-2024学年高一下学期3月月考数学试卷辽宁省抚顺市第一中学2024学年高一下学期尖子班4月月考数学题河南省许昌市2023-2024学年高一上学期期末教学质量检测数学试题江西省景德镇市乐平中学2023-2024学年高一下学期4月期中考试数学试题(已下线)专题02三角函数的图像与性质期末10种常考题型归类-《期末真题分类汇编》(人教B版2019必修第三册)
6 . 设数列
的前
项和为
,若对任意的正整数
,总存在正整数
,使得
,下列正确的命题是( )
①
可能为等差数列;
②
可能为等比数列;
③
均能写成
的两项之差;
④对任意
,总存在
,使得
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3693c7c942afef5517a3c18997c878df.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9771c216846438158f7f4495c45aaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a5608de4e387aca71819bb02259a96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afac6e9f8d367382dbdcebb81f2ec14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4003252b8e18325370b255b5b0bdc2a9.png)
A.①③ | B.①④ | C.②③ | D.②④ |
您最近一年使用:0次
2024-02-27更新
|
555次组卷
|
3卷引用:上海市金山中学2023-2024学年高二下学期3月月考数学试卷
解题方法
7 . 函数
的定义域为
,满足
,且当
时,
,若对任意
,都有
,则
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2b880a6e4a2c31658e2b2d49875bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7bba069a33fd4d8d2ac6449148da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58640a13608e28bdba923ce9b0fc2f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/163d5b0f07f151d699c708d47f2f4f1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec0e214334b0b2ce55284ad530c9b08.png)
(1)当
时,求
的值
(2)当
时,方程
有解,求实数
的取值范围;
(3)当
时,
恒成立,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec0e214334b0b2ce55284ad530c9b08.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a232ab8d7fc986e7714ad5c4340602d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed33229aea12f44f7dd64fd14882b7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aaaffbe5e449ccddde705fabedf8e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b89b139ebfb1de8b89ca1e0b77c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3436e6560f9057b23b39b2193236d15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
9 . 在平面直角坐标系
中,已知动点
到两直线
与
的距离之和为
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4073d527d4b14759a7cbaeabfb35a756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85db907cd20b723021fe3cc220dac3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba4a643980b694133b6b6c87e2f5002.png)
您最近一年使用:0次
2023-05-20更新
|
1055次组卷
|
8卷引用:上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高二下学期5月联考数学试题
上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高二下学期5月联考数学试题(已下线)高二上学期第一次月考数学试卷(提高篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)广东省深圳市龙岗区华中师范大学龙岗附属中学2023-2024学年高二上学期10月月考数学试题(已下线)专题04 直线方程综合应用难题(12题型)-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)(已下线)难关必刷02直线与方程-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)(已下线)第1章 坐标平面上的直线 (单元重点综合测试)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)(已下线)第1章 坐标平面上的直线 单元综合检测(难点)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)1.4点到直线的距离(十八大题型)(3)
名校
解题方法
10 . 把右半个椭圆
和圆弧
合成的封闭曲线
称为“曲圆”,“曲圆”与
轴的左、右交点依次记为
、
,与
轴的上、下交点依次记为
、
,过椭圆的右焦点
的直线
与“曲圆”交于
、
两点.
与
重合时,求
的周长;
(2)当
、
两点都在半椭圆
时,是否存在以
为直径的圆恰好经过点
?若存在,求出直线
的方程,若不存在,请说明理由;
(3)当点
在第一象限时,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d5972fc8da1e12b427808756fc9092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dfe2da800cc97696fa876b1566c10ec.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/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ef68c72248af27e3b83b4ee5fdeb51.png)
(2)当
![](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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ef68c72248af27e3b83b4ee5fdeb51.png)
您最近一年使用:0次
2023-05-20更新
|
251次组卷
|
3卷引用:上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高二下学期5月联考数学试题
上海市三校(金山中学、闵行中学、嘉定一中)2022-2023学年高二下学期5月联考数学试题(已下线)高二上学期期中复习【第三章 圆锥曲线的方程】十二大题型归纳(拔尖篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)上海市南洋中学2023-2024学年高二下学期期末数学试题