解题方法
1 . 已知集合
,
,
,若
,则
的子集个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a10b977968d4e6e9696d305a0e0cb6f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a08774c8a0d2a9ee51baf5d650eab097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16543f64495c3b7fb5150a97544e372d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64afdc6fcdc4cd326bb11679766c223e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.2 | B.4 | C.7 | D.8 |
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2 . 若规定集合
的子集
为
的第
个子集,其中
,则
的第211个子集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c3c8d3fbe5895ab942912bf4754a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fdf9165c2d4fa58daf4903279a021f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba026b3458ee47e3bf30e99a4e76ff7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
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解题方法
3 . 已知集合
,
.
(1)求
的真子集;
(2)若______,求实数
的取值集合.
从以下两个条件中任选一个补充在横线上,并进行解答.
①“
”是“
”的充分条件;②
.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e42454dda33180af88dc4a871df037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ddd946af88c373f6f351e1e6fd6e2b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若______,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
从以下两个条件中任选一个补充在横线上,并进行解答.
①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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解题方法
4 . 已知集合
.
(1)若集合
,写出集合
的所有子集;
(2)若集合
,“
”是“
”的充分不必要条件,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b957827e96d1f85fe76f96566debd121.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182633639ead2ffaaec816509326889f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45634a4f2180e248a4ba677388de92fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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5 . (1)集合
,写出集合
的所有子集;
(2)集合
.若
,
,
,求
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66522950ddf6f6191422eb845946d63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7e203f994f59782d6e352c504b1f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c624a3211d9d7960bfbd85e8bf3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343324ebf9d6e86c42fbde0fbb94689d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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6 . 已知集合
是集合
的非空真子集,把集合
中的各元素之和记为
,则满足
的集合
的个数为______ ;
的所有不同取值的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a7d1d98321f6cfb9f93daa0fcc1f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928441297e887330350a46dd2b40841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/face73a89e03b51aba9db3fb4b932f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928441297e887330350a46dd2b40841.png)
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解题方法
7 . 若集合
的两个非空子集A,B满足
,则称
为集合U的一组“互斥子集”,
与
视为同一组互斥子集,则U共有互斥子集______ 组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4f59a3fd052f229e79e5aefa517913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bbe792268ddc7adc67b489a3c61927.png)
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8 . 对于非空数集,
,其所有元素的算术平均数记为
,即
.若非空数集B满足下列两个条件:(1)
;(2)
.则称B为A的一个“保均值子集”.据此推理,集合
的“保均值子集”有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf55e03b544b8e9c1aa048d296b231ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d38f6a84cda99af5f20587d6f34c5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b41fa70baf85632aa2f4ef8ed2c8d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2341824ad6dd96a5321adbac177ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257b13dbb2f5a57b66fa2fc22648d898.png)
A.5个 | B.6个 | C.7个 | D.8个 |
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9 . 已知非空集合
,且若
,则
,满足题设条件的集合
共有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3080f5323b20bec0cc5cde68f8d0bdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8647b00cc8c8f35555c7d78cf2812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c6c5c1b1cf40b9a6e95f204a4d7ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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10 . 若
,
,
,
,则满足上述条件的集合
的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50ddf960aefef0ea3d60f4c3ee696c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f438a058e8e893426ae0830918431ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae2fddea1e72ead7e1e4cd039d2ae5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7199c97be292f83d7bafefc81f35b67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-10-14更新
|
237次组卷
|
3卷引用:天津市弘毅中学2023-2024学年高一上学期过程性诊断(1)数学试题