名校
1 .
,且
.
(1)方程
在
有且仅有一个解,求
的取值范围.
(2)设
,对
,总
,使
成立,求
的范围.
(3)若
与
的图象关于
对称,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a615271711750f4e18797f6c45404a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d133bc38df7ae4bf1717cb3ca12d4.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029124b4cd659d0596a955e6b93ce5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8284604d4499d6ee65dbefed20c7800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b324aceadfd941605fa757a5ea014c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e21dc6fe0ae3b5c607b274227b547e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58a804ac94af91bb076b7bf3184a24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28dd80f024a2ad50d7d5838a1cd80c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb89f9fa268fc91676108a58c29e114.png)
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2023-05-21更新
|
1199次组卷
|
6卷引用:辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题
辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题江西省吉安市双校联盟2022-2023学年高一下学期期中考试数学试题(已下线)专题5.9 三角函数全章八类必考压轴题-举一反三系列(已下线)专题5.4 三角函数的图象与性质-举一反三系列(已下线)第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)(已下线)模块四 专题2 重组综合练(江西)(北师版高一期中)
名校
解题方法
2 . 已知命题
:不等式
的解集中的整数有且仅有-1,0,1,命题
:集合
,
且
.
(1)求命题
,
都为真命题时的实数
的取值范围;
(2)设命题
,
皆为真时
的取值集合为
,
,若全集
,
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1831f5c2c3244d5fb696d26e47dc00bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c788f74fa52d276d4b4053d7a4920389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034672efdeec11b88f10bd9f23bee67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(1)求命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d98c697bf3d6ea92dabdf3caf384cf39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f8b626b55b11e7a55ca5fcc440e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 下列命题正确的是( )
A.若不等式![]() ![]() ![]() |
B.集合![]() ![]() ![]() ![]() ![]() ![]() |
C.已知集合![]() ![]() ![]() ![]() |
D.设集合![]() ![]() ![]() |
您最近一年使用:0次
2011·辽宁沈阳·模拟预测
4 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffcb7de1ab331c17c5eca5f8861daf42.png)
(1)求不等式
的解集;
(2)若不等式
(
,
,
)恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffcb7de1ab331c17c5eca5f8861daf42.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76f1d80616e20719e1d5ce276bb581f.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673b684c5501f1bbae50186f48353bc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a64103561364ac4c9460a72c9e154bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a8c4eb822aeb591ceacfe8a7aaa11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bea9391c115618bb84a7aa3da8a242d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
12-13高二下·辽宁沈阳·阶段练习
名校
5 . 若关于
的不等式
的解集为
或
,则
的取值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b033727a6514a5d6d4a2832a9d13a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6506c2c4b5d0e16d39cc0b0ea852e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e2d8df2505de1a25f1dc01a6f65404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-02更新
|
955次组卷
|
4卷引用:2012-2013学年辽宁沈阳同泽女中高二下学期第一次月考理科数学试卷
(已下线)2012-2013学年辽宁沈阳同泽女中高二下学期第一次月考理科数学试卷2016-2017学年湖北白水高级中学高二9月月考数学试卷(已下线)【新东方】杭州新东方高二数学试卷253天津市第一中学2022-2023学年高一上学期10月阶段测试数学试题
名校
解题方法
6 . 已知函数
.
(1)
在定义域内单调递减,求
的范围;
(2)讨论函数
在定义域内的极值点的个数;
(3)若函数
在
处取得极值,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7c6dbd23c3a97ca565293fa527a43c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c2d34cb1ea0cf34812cd7bf01a37b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
解题方法
7 . 下列说法正确的是( )
A.已知点![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.“![]() ![]() ![]() |
C.曲线![]() ![]() ![]() ![]() ![]() ![]() |
D.圆![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-11-12更新
|
674次组卷
|
4卷引用:辽宁省沈阳市翔宇中学2023-2024学年高二上学期第二次月考测试数学试题
名校
解题方法
8 . 如图:小明同学先把一根直尺固定在画板上面,把一块三角板的一条直角边紧靠在直尺边沿,再取一根细绳,它的长度与另一直角边相等,让细绳的一端固定在三角板的顶点
处,另一端固定在画板上点
处,用铅笔尖扣紧绳子(使两段细绳绷直),靠住三角板,然后将三角板沿着直尺上下滑动,这时笔尖在平面上画出了圆锥曲线
的一部分图象.已知细绳长度为
,经测量,当笔尖运动到点
处,此时,
,
.设直尺边沿所在直线为
,以过
垂直于直尺的直线为
轴,以过
垂直于
的垂线段的中垂线为
轴,建立平面直角坐标系.
(1)求曲线
的方程;
(2)斜率为
的直线过点
,且与曲线
交于不同的两点
,已知
的取值范围为
,探究:是否存在
,使得
,若存在,求出
的范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741b63b4017c322eb60efaeb10efbf3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a891e388fdad657dc83dec208d23dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/11/8d3cf6df-3b76-45ad-8bd8-2ff0c22fa9e1.png?resizew=140)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137c4624509cdea01ec665854cfb03d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0df31126849d010525cbeee019bae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-09-10更新
|
511次组卷
|
10卷引用:辽宁省沈阳市第二中学2023届高三第五次模拟考试数学试题
辽宁省沈阳市第二中学2023届高三第五次模拟考试数学试题广西桂林市、崇左市2023届高三一模数学(理)试题山西省太原市第五中学2023届高三一模数学试题(AB卷)(已下线)专题16解析几何(解答题)广西玉林市博白县中学2023届高三"逐梦高考"数学(理)模拟测试试题(二)广西壮族自治区防城港市2023届高三下学期4月第三次联合调研考试数学(理)试题(已下线)专题突破卷23 圆锥曲线大题归类(已下线)考点19 解析几何中的探索性问题 2024届高考数学考点总动员【练】黑龙江省大庆铁人中学2023-2024学年高二上学期期中考试数学试题(已下线)专题08 抛物线的压轴题(5类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)
名校
9 . 将一块直角三角形木板
置于平面直角坐标系中,已知
,点
是三角形木板内一点,现因三角形木板中阴影部分受到损坏,要把损坏部分钻掉,可用经过点
的任一直线
将三角形木板钻成
设直线
的斜率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2052e0d200bd242b6baaa75a6af7209.png)
![](https://img.xkw.com/dksih/QBM/2021/3/20/2682203757068288/2687732161150976/STEM/4eaffcc5-8c9c-405d-97d0-bd20f500e770.png?resizew=288)
(1)求点
的坐标(用
表示)及直线
的斜率
的范围;
(2)令
的面积为
,试求出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc83f34b5a3c1dc09d990ce4bdc8e078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f0ebb89b7d83c0a4d1104e0107530d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d708033611e0a04426fac680caf4c17d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a3f9ca3b4ce0818106caed5cd883b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2052e0d200bd242b6baaa75a6af7209.png)
![](https://img.xkw.com/dksih/QBM/2021/3/20/2682203757068288/2687732161150976/STEM/4eaffcc5-8c9c-405d-97d0-bd20f500e770.png?resizew=288)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2021-03-28更新
|
547次组卷
|
9卷引用:辽宁省沈阳市浑南区东北育才学校2023-2024学年高二上学期10月月考数学试题
辽宁省沈阳市浑南区东北育才学校2023-2024学年高二上学期10月月考数学试题浙江省杭州市学军中学2020-2021学年高二上学期期末数学试题(已下线)【新东方】高中数学20210429—006【2020】【高二上】(已下线)第二章 (基础过关)直线和圆的方程 A卷-【双基双测】2021-2022学年高二数学同步单元AB卷(浙江专用)(人教A版2019选择性必修第一册)(已下线)1.1 直线的倾斜角和斜率(课堂培优)-2021-2022学年高二数学课后培优练(苏教版2019选择性必修第一册)(已下线)期末综合检测卷三 -2021-2022学年高二数学同步单元AB卷(人教A版2019选择性必修第一册)浙江省台州市书生中学2023-2024学年高二上学期起始考数学试题(已下线)第05讲 倾斜角与斜率(7大考点)-2022-2023学年高二数学考试满分全攻略(人教A版2019选择性必修第一册)广东省江门市培英高级中学2023-2024学年高二上学期期中数学试题
名校
解题方法
10 . 已知命题
不等式
的解集中的整数有且仅有
、
、1,命题
集合
,
且
.
(1)分别求命题
、
为真命题时的实数
的取值范围;
(2)设
、
皆为真时
的取值范围为集合
,
,若全集
,
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1831f5c2c3244d5fb696d26e47dc00bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55f9139896600757920d52ba68beeb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a84fd2a24aaf702c8303274ebeb5fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
(1)分别求命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a365d0c92cd50530ec9220f3a2b8e57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386f8b626b55b11e7a55ca5fcc440e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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