名校
解题方法
1 . 已知
表示不超过
的最大整数,例如:
,方程
的解集为
,集合
,且
,则
的取值范围是__________ .
![](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/b15da5e9c678215ca3fee3ac23ca1241.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db89fe2125009846e87d1c81aabe1c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3fd0150532f2e25112abdd3cc1911eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
2 . 集合
,
,则
的真子集个数________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a4454e0d2129a2c9d0b6761eb39394e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77eed7aa4959ec041bc368b09dfe6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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解题方法
3 . 已知全集
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67070a68185686687076d9b73c49a441.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f99c5e73ad53e1655f26c8a27d61b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62f4bc77f926bd9845b06ef839d6d639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67070a68185686687076d9b73c49a441.png)
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名校
解题方法
4 . 集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5de4f8d3d7a41963b43968fe446503e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9517e0119278e918aa4933dba9c84ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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5 . 已知集合
,
,且
,则实数
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e496b645560cd7ab5256399bb18ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e482c023ae002567286f6fb93bd7ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 集合
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c42800801e5b700c664320a58f5b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e27e8864c94ca6f54722830cc2990bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86bdcc96d957534e0996776f010b5758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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解题方法
7 . 已知集合
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce16549ec85032a1e7c9af7b89e13b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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名校
解题方法
8 .
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220f7ad8156a315dea0d7d10aaabc66a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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名校
9 . 已知集合
,其中
.
①集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0d2a6750330ebe1cf1b3a65825d0e6.png)
_______________ ;
②若
,都有
或
,则c的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abeb837962544605c14c9338047b8ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686b332872c51b433befe65fbe773380.png)
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0d2a6750330ebe1cf1b3a65825d0e6.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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名校
10 . 已知集合
,
,且
,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20889682a2ce4c6efab561457cdec3f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf61b7c6d1c49ebcb814e9cd61f9590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
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