解题方法
1 . 已知集合
,
,
,若
,
,
或
,则称集合A具有“包容”性.
(1)判断集合
和集合
是否具有“包容”性;
(2)若集合
具有“包容”性,求
的值;
(3)若集合C具有“包容”性,且集合C的子集有64个,
,试确定集合C.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe38d1b1e18720a878bd7442c8f094de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e63c91626ffa91e590925e6f206c3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/957d41dbe52b49c3a7339e3519a3fe84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46de01c5104b9112a688df37eadb000.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac46c6c52fc8b8e8f76084352e1893f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3ed03b0f8fb8b88d7edf6165345c6f.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acf45d9d64697db902fe8faa15394d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
(3)若集合C具有“包容”性,且集合C的子集有64个,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65f44d4f1341a7d80897a54a6778fae.png)
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2 . 已知命题p:“
,
”,命题q:“
,
没有实数根”.若p与q均为真命题,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8645952ea14b25443f411d39bdec641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4df9e15031d426ae96cf205dcd06ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36bcb4df710cf7fc5a4159380ae5451e.png)
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解题方法
3 . 已知集合
,集合
.
(1)若
,求
;
(2)若
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6519ce97174f15a39b1427e0082603ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6344d7f472888314e83b9bc0c82b75.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知集合
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c43b554b17e49d33e1a4b3a2d4f708.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0d45290cd197eea95681b83c270539.png)
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解题方法
5 . 设集合
,
,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755fc81e5ec38c12f9790d7ded697597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca8728480edb9328ca8fa65de6fbf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解题方法
6 . 已知
,
,
.
(1)当
时,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0786d4c6eda9182cf96ab6c1c705062b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e33021792a8d49706b0058b8e1caab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be669c4c1d4798b8ac2fe56a6c17b25c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c6009ab1bad0e053bc7e11b868cac6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bed4f3b7d72db3b022165360678e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 设集合
.求:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ad146f28c2f2483cf6f50133c6916bb.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e5450f24464d07f1a767714fa639cc.png)
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8 . 集合
.
(1)求
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9fb46df9cfd03af1ff9b2553b650e25.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
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解题方法
9 . 已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1bb442358ae90bc331f017027ec25dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffddfb9ce4aaae728085796ed75cefc.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
10 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd98467463eb8840d8fd2a9023e9aaa9.png)
(1)求集合A,B;
(2)若“
”是“
”的必要不充分条件,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd98467463eb8840d8fd2a9023e9aaa9.png)
(1)求集合A,B;
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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