名校
解题方法
1 . 下列选项中正确的有( )
A.若集合![]() ![]() ![]() ![]() |
B.若不等式![]() ![]() ![]() ![]() |
C.已知函数![]() ![]() ![]() ![]() |
D.已知一元二次方程![]() ![]() ![]() ![]() |
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解题方法
2 . 命题
已知幂函数
在
上单调递增,且函数
在
上单调递增时,实数a的范围为集合A﹔命题
关于x的不等式
的解集为B.
(1)若命题P为真命题,求集合A;
(2)在(1)的条件下,若
是
的充分不必要条件.求实数t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/569675dd7b2aca2732324f4bea5c02e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fe5a5423ce135a39396860eff57b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a694398612eb642d58da09529a41fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b6bec0e5c57dc0c97d2581012d2c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a42b1d739ba1b2eea55106935f70e3.png)
(1)若命题P为真命题,求集合A;
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2022-11-25更新
|
171次组卷
|
2卷引用:山东省济宁市微山县第二中学2022-2023学年高三上学期期中数学试题
名校
解题方法
3 . 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)
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名校
4 . 下列命题中正确的是( )
A.若已知集合![]() ![]() ![]() ![]() ![]() |
B.函数![]() ![]() |
C.已知不等式![]() ![]() ![]() ![]() ![]() ![]() |
D.命题![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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12-13高一上·福建泉州·期末
5 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284b5bfb9d554ffa69bceeea734f93a.png)
(1)若
,求
;
(2)若
,求实数
取值的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284b5bfb9d554ffa69bceeea734f93a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797c132ca298a11b53f0fe600f95879b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
6 . 定义区间
、
、
、
的长度均为
,其中
.
(1)求不等式
的解集区间的长度;
(2)如果数集
,
都是集合
的子集,那么集合
,
的长度的最小值和最大值分别是多少?
(3)已知不等式组
的解集构成的各区间的长度和等于
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd4d438ae7d4da0e100bb92d622c866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a381cebfeee07ae150cdeff6e7a64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eae51f0310b87cde2e206643e9d25a5.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17a457b3c5b1fb92d5fc93ae41bc08e.png)
(2)如果数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f1316d9c27c24f2c13276b02276e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91da3902297bb8b50bb83d27a108d506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(3)已知不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c4ff1a7228f13e9f261caa60303d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2022-10-27更新
|
140次组卷
|
3卷引用:上海市进才中学2021-2022学年高一上学期10月月考数学试题
名校
解题方法
7 . 已知三个不等式:①
;②
;③
;
(1)若不等式①和②的解集分别为集合A与集合B,求
;
(2)若“
”是“
”的充分不必要条件,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f18821e5860e5ac12413a39ce5e6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690162f516e4db438c8e6946604bf72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7b904e5c926685b119394a9f6fc65a.png)
(1)若不等式①和②的解集分别为集合A与集合B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ee569a8ff677073ef2b7aaac3ce69f.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e949a465a33bcf9e9a3f8b9cde19cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3527e5db0a80be1d9086a91609077168.png)
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2022-10-20更新
|
299次组卷
|
2卷引用:江苏省常州高级中学2022-2023学年高一上学期第一次调研检测数学试题
名校
解题方法
8 . 已知不等式组
的解集是
,则实数
的取值可以为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77657237683e4ea11b42d1b9c2640651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be27b47979bdb86e9a68577e6ff178c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
9 . 在
上定义运算
,若关于
的不等式
的解集是集合
的子集,则整数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef6546a5cfb61e42f555aeaba217486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019cd3c16f026873a8fcd82260195527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc74efe223dfce7cadb80d651fe6981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.1 | C.![]() | D.2 |
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2021-11-08更新
|
557次组卷
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4卷引用:河南省濮阳市范县第一中学2021-2022学年高一上学期第二次月考检测数学试题
河南省濮阳市范县第一中学2021-2022学年高一上学期第二次月考检测数学试题浙江省金华市曙光学校2021-2022学年高一上学期期中数学试题(已下线)专题10 集合间的基本关系-2022年暑假初三升高一数学衔接知识自学讲义(人教A版2019)云南省曲靖市罗平县第二中学2021-2022学年高一上学期第二次月考数学试题
名校
解题方法
10 . 设集合
为满足
,
,
的空间向量
,
,
中可能出现的两两共线的向量组数组成的数集,集合
,若
,则
的取值范围为______ ,当
最小时,
的取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ee0b48b17112965d224bd169314f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42725bfd7040b47a57faa633f163b856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd4c620c5f6235adcb1c148cad15080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e61c7d643455ec2d0d4fdbc4ee4dd1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eac19737d882225c903054eb4863501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-21更新
|
528次组卷
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2卷引用:广东省广州市华南师范大学附属中学2024届高三上学期数学周测试题(12)