已知集合
,集合
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2659cc7177afd6e306770fea7c5018b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc77a44362d495f78e156a0552de6681.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0db2c49919467a2e14540f2aabd05cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2023-11-22 10:51:52
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【推荐1】已知命题
:关于
的不等式
无解;命题
:指数函数
是
上的增函数.
(1)若命题
为真命题,求实数
的取值范围;
(2)若满足
为假命题且
为真命题的实数
取值范围是集合
,集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e47e423928ecd91d50442cbb035fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ef07c15c3cb4276e582c9c30ab28cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若满足
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2224b98ccf2c9d3941076562b064f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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【推荐2】已知集合
,
,
.
(1)求
,
;
(2)若
是“
”的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/894b2122b6249838b713abfa5b3f4b64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b195062be27f069c49098b5a649567aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47049073af695298824fdd16d5f0a920.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知点M、N两个非空集合,定义M,N的差集为
且
.
(1)已知
,
,若
,求实数a的取值范围:
(2)若
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
关于x的方程
的解是负数},再定义
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fa856cd23a63c00c95611dd6b719be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4d76e0475967ebd13497107eb97e46c.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f77245a698928467b31f2342605a546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e87bfcba73adfccdd3f260ac3fd4d797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d64270a0a30261a193b16604f5f311.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc2bc57b56ae5ff339fe728a85d1aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ea17b6bacbfe1fa3f178a582a8e837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4317304c9199cb76e47df8b7800147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b7e0559693014e51d720ec671abe56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5231cb0bfedf2f963c1830adfd74aa.png)
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【推荐1】2019年国庆,甲同学在10月1日看完阅兵式之后,10月2号启程前往某一著名沿海城市O地旅游,10月3号从天气预报上看到该沿海城市附近海面有一台风“米娜”,据监测,当前台风中心位于城市O(看作一点)的西偏北
角方向300
的海面P处,并以20
的速度向东南方向移动,台风侵袭的范围为圆形区域,当前半径为60
,并以10
的速度不断增大.问:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/f0689c70-1425-4be5-9087-729a0ebab68f.png?resizew=187)
(1)10小时后,该台风是否开始侵袭城市O,说明理由;
(2)城市O受到该台风侵袭的持续时间为多久?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c267610c6e2b4f2680df592ff7d15292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd9242efa2facde4d7c79ff0c1b00ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5fe30c67ac20cd4e8b9cc2d0d420a7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd9242efa2facde4d7c79ff0c1b00ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/f0689c70-1425-4be5-9087-729a0ebab68f.png?resizew=187)
(1)10小时后,该台风是否开始侵袭城市O,说明理由;
(2)城市O受到该台风侵袭的持续时间为多久?
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【推荐2】设全集
,集合
.
(1)求
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440fabc65113653ec59f8478c1a1167c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9ccbfb2857a96d82469fc6b1d1c2bf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f7ca5e6e93c6c0d73766acb3da7212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】已知函数
,a为常数.
(1)若
,解关于x的不等式
;
(2)若不等式
对任意的
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a20dcfe33fa7e7eb86ab327ad0cbe9.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8db84cfa717691e236cdaa76d2be1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
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