1 . 已知全集U=R,
,
,则集合![](https://img.xkw.com/dksih/QBM/2015/6/19/1572136397275136/1572136403017728/STEM/85e16382bef94ba3ba1a53841804a964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765f09c2eb7c590db559d64d8ac9063e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edfd112e554a98344cb69c7fb6ead35.png)
![](https://img.xkw.com/dksih/QBM/2015/6/19/1572136397275136/1572136403017728/STEM/85e16382bef94ba3ba1a53841804a964.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 已知集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03f5460abe37c0cb3583198a4e56de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46860400b0223f426e8194a111a42805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03f5460abe37c0cb3583198a4e56de0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 集合
,
,则
是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee23eb0e4741a1be3309937f01e45140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3894252a63e348b6271e1fbe2feb4267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 集合论在离散数学中有着非常重要的地位.对于非空集合
和
,定义和集
,用符号
表示和集
内的元素个数.
(1)已知集合
,
,
,若
,求
的值;
(2)记集合
,
,
,
为
中所有元素之和,
,求证:
;
(3)若
与
都是由
个整数构成的集合,且
,证明:若按一定顺序排列,集合
与
中的元素是两个公差相等的等差数列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c7a43079a55f6a53b1307b2b04b55e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf60f60fedb84bb62a0c00276908ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce69cd33d105ce280170f0cd0513026.png)
(1)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed0081de4e04574dd0884c4e6077fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d651573ff643d295dcceafdb6f1249d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f42500dfa5011086d43ef7e6dac58271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b27c12cad9040ae9698895e43903747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)记集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9e547b17582b99e548037172eeff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f7f9dc32fa86d097de2b7d78b6b487.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594e60168219fdebb98b45493de0128a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc9ec58912d76aabf278faa7bf06e45.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef96e432405a1037b5aea7514715e52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa740177330d445b0d506f3b53f9ad2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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5 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec37ff1e8eda033364d36308da03536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fa817bd4f7cd3d2a39bbd668bff8fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f537b07b1f0750d7a35edb2bbe455b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec37ff1e8eda033364d36308da03536.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知向量
,
,设集合
,
,当
时,
的取值范围是______________ .
![](https://img.xkw.com/dksih/QBM/2013/4/19/1571189377703936/1571189383151616/STEM/b79c8477d98f4443bea51dfa02733adc.png?resizew=63)
![](https://img.xkw.com/dksih/QBM/2013/4/19/1571189377703936/1571189383151616/STEM/00198c7c76684296880ef0c22cdb8ff5.png?resizew=80)
![](https://img.xkw.com/dksih/QBM/2013/4/19/1571189377703936/1571189383151616/STEM/fc73b3b92d294ef0a7564e53cd1ee70a.png?resizew=95)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bbea752c5648795bddf29ffd5e49a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd2ab00fb58b0f6e733a5d05174bd55.png)
![](https://img.xkw.com/dksih/QBM/2013/4/19/1571189377703936/1571189383151616/STEM/f696626806624a67acda4ced22b95154.png?resizew=15)
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7 . 设集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c25a87b61fd642a5e36c8c0778eb0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7d0b7fd9e10d22499e7c74d74b4d964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 若集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948508e5766e70908f53c9a53324ceee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d4ac0b7441f395d4caf0a48250d6f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 设集合
,
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2106482b683318fe64fe5d1f83c3e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ea35f4b055ce67c64519bad7b723cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.{0,2} | B.{2,4} | C.{4,6} | D.{0,2,4} |
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10 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0793962b6690f925f1ef26f9a4595f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df39dde56861fbf5904629f33e88a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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