1 . 集合
由有限个实数组成,定义集合
的离距
如下:实数轴上,集合
中的每个实数
对应一个点
,实数
对应的点
与所有这些点
的距离的算术平均数记为
,称函数
的最小值为集合
的离距,记为
.例如,集合
的离距是0,集合
的离距是2.
(1)分别求出集合
的离距;
(2)求数集
的离距;
(3)已知非空数集
满足
,试写出一个关于
的大小关系的等式或不等式,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdb777c90f9cabba8d4ed34c16f4acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e51c8010a4568d7d44f261973dea420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fdb777c90f9cabba8d4ed34c16f4acb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39412925212a989c503e891db840609d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c6fed9c3cf2c00ba1823c3f0a05615.png)
(1)分别求出集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7384a3e8b9a7ffb00bb124ba97b7c992.png)
(2)求数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22accc2928d3370f48a84cc4703a4b07.png)
(3)已知非空数集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21e6c4bb62b14f8e70d8f8b1ac911bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3598ab9c4ac9a9496c5f34b9b5fda3cf.png)
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2 . 若函数
的定义域为D,集合
,若存在非零实数t使得任意
都有
,且
,则称
为M上的
增长函数.
(1)已知函数
,函数
,直接判断
和
是否为区间
上的
增长函数;
(2)已知函数
,且
是区间
上的
增长函数,求正整数n的最小值;
(3)如果
是定义域为
的奇函数,当
时,
,且
为
上的
增长函数,
求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bfe5fa85f3ebdfca5b2c131582e54bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137e19310362e379bd5943525b715aaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44732202502102fe40f23c7558d1ab5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d2f074101ec58868493992814a2ff9.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4306fb6d5419322b4b7b9140e06e43a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7c91c7cad8a060981951c082cb9291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a50188f84f379b3d0418c54cbade7d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f6a0eff55217e08cd9c7268ef3eecb.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d94112851ce0deb4761bf00fcf275ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8559db5cec89fb0ed29e8be8fdb0b1.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012e8b22975a0984bce88e0a8148a61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92b46d50ecc7ea20c610d9b1217582e.png)
求实数a的取值范围.
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解题方法
3 . 对于非空有限整数集X,
,定义
,对
现有两个非空有限整数集A,B,已知
且
.
(1)当
时求集合B;
(2)证明:
;
(3)当
且
时,任取
构造函数
问:当a,b取何值时,
的最小值最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f6b18b109a656b62fb173680ae99ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9451ce4fed053674ea20d5b455b783d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb70a272d3abd0bb156e332e75dc36b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43cd3b18a04c9a72a0bf7791bdf56a67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9a194c0b9152e11aabc059c8483b93.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba387b457949fde336790c9d05c4f1c.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15d281a85375fcf633d2cd86e294028.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eeee50bc500aad281fbb28d465db5b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4a0f5fcd7882200fa25b6ee5143f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c41c277675b413bbff28387082c9785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbad171aea431ed7347bcdc7fbef54d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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4 . 已知集合
,任取
,
,定义
,其中
表示
,
中的最大值,例如
,
.
(1)当
且
时,写出满足
的所有元素
;
(2)设
,
满足
,求
的最大值和最小值;
(3)若
的子集
满足:
,
成立,求集合
中元素个数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/395a9ac66a8eac79bff4b9fabd5ba478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7960dfe0fa502affe34fc991637e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac3f8a94c75d26f9ebdce6faac093844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51767af8e9e891862fddceaddf69771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9d48e670be1ddbfee3738824a7eccf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca7c352f4aaaca488dff1fb304874bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca92c9a09bd82e0ebe8e065e09bfbc9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd704df7736c0dd309029639b2894483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6be0211acf7ee73b64b29f4ee133d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9e7c92fe16d2d9140e2ce9d554d3fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5d3909dcc134e61ec890a963768ae5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520cb52f2ae9917330a3a54a08268e62.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfadf7483681e66386d3a4cc2a6f818b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774d57a142a02c766cfe86bdecd98a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffd40374a860c7e9f69972596c58ee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a46b9258e95510df09da8c168ce09e.png)
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解题方法
5 . 对非空数集T,给出如下定义,
定义1:若
,
,当
时,
,则称T为强和差集;
定义2:若
,
,当
时,
,则称T为弱和差集.
(1)分别判断
是否为强和差集,
是否是弱和差集,并说明理由;
(2)若集合
是弱和差集,求A;
(3)若强和差集B的元素个数为12,且
,求满足条件的集合B的个数.
定义1:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d81972b1768d827ba3083f96a273412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760be062c0e1175db3cf059302e9893b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3866ffa03f828d57269c805c08e8c13a.png)
定义2:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d81972b1768d827ba3083f96a273412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b722d685d1c56d4d29ba137db59e25c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf655e7150f4759685df48b605dc8f2.png)
(1)分别判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b2be1b0b6bea70d4e64894f1009359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ab4879d5e412739c7aeba46dd0ffdb.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039abfbcdcc01da76d4123f81cf0f6a5.png)
(3)若强和差集B的元素个数为12,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0d1c7c644d841c90d84dd75c562d9e.png)
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6 . 设集合
为非空数集,定义
.
(1)若集合
,直接写出集合
及
;
(2)若集合
且
,求证
;
(3)若集合
且
,求
中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e32ae0e537ab483485e3dc6628b2f3a.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265e81e52218232e16c78f57b3aa0de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b26ea9b3e6e286874c5dca1badea723.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16289945d1d1c529fb1bfd4d828f413.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77239c98c78a026cc03336edca067ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc9473a5974fa9c4286f90f6a3637411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1868c8a0db983c9cc2695294fa03b1.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce46889ee6889ca41c5bd19eaf0e242f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4d331fa6921e8ebc0b1fc4affd22ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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解题方法
7 . 给定整数
,如果非空集合
满足:
一:
,
,
二:
,
,若
,则
,那么称集合
为“减
集”.
(1)
是否为“减0集”?是否为“减1集”?
(2)是否存在“减2集”?如存在,求出所有“减2集”;如不存在,请证明.
(3)是否存在“减1集”?如存在,求出所有“减1集”;如不存在,请证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
一:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635cd77ca2260a31f0ac0fb23782ac51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88810d5c923d6695cc143f85d9565566.png)
二:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0191cf0f97155693155d74595b1e369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d015f20727d06fcd4fde4ed4de4e7c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084bfb1bb3c6092f193cdc58411f2ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed72c5ada5b4d689310406b7cef32f.png)
(2)是否存在“减2集”?如存在,求出所有“减2集”;如不存在,请证明.
(3)是否存在“减1集”?如存在,求出所有“减1集”;如不存在,请证明.
您最近一年使用:0次
2023-09-25更新
|
418次组卷
|
2卷引用:中国人民大学附属中学2023-2024学年高一上学期数学统练(一)试题
名校
解题方法
8 . 已知函数
,若存在非零常数k,对于任意实数x,都有
成立,则称函数
是“
类函数”.
(1)若函数
是“
类函数”,求实数
的值;
(2)若函数
是“
类函数”,且当
时,
,求函数
在
时的最大值和最小值;
(3)已知函数
是“
类函数”,是否存在一次函数
(常数
,
),使得
,其中
,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1882164d7f62de7f9cf8b5e55c272d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e86a882ef57f44f0ad22836079afe1.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8655cb378f71e1f0a612b313d578a4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b104090ea2ac34be58a76a4e0e95cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df1d9b712b639c8b6809c9f3ae03706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d19a14a9712f66204093b9dda61927b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d0b969f58a09dff5c32b43219e2080.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e86a882ef57f44f0ad22836079afe1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31b72f7c1c7ce09a6f9e4a40d7dfbfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a05d95b16c4c49c6b28b8429e8170e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10c11ada6e9ec838a163d17d0412c04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5a79df6ff3fd57c7870b79196e9f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2629d7ba67bc8caed81c64c3c1341275.png)
您最近一年使用:0次
2023-08-06更新
|
790次组卷
|
5卷引用:北京市北京理工大学附属中学2022-2023学年高一上学期期中考试数学试题
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9 . 设k是正整数,集合A至少有两个元素,且
.如果对于A中的任意两个不同的元素x,y,都有
,则称A具有性质
.
(1)试判断集合
和
是否具有性质
?并说明理由;
(2)若集合
,求证:A不可能具有性质
;
(3)若集合
,且同时具有性质
和
,求集合A中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196ee858814f200b4414975cc154f333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5a33197acadf8491f921a9330f94260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daac43c7675fa411b35028e09b0bad90.png)
(1)试判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb1aca774c04bd0599d77a1c0c9b43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3aabb4483ddc6e67b4fedb0e09518f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5d8bc28ee110a9540f383828b7d245.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad04af133fc5d09790cddd1c2c199892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41b85f6960a2a4f988e5ddd9ef48d0e.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d096a06a215ba878c07d26f801498aaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0127f7421ce1839e335f091d730736af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677dcea09d90af109df9cc72cff15cf0.png)
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2023-05-10更新
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16-17高一上·上海浦东新·阶段练习
名校
10 . 已知集合
,对于
的一个子集
,若存在不大于
的正整数
,使得对
中的任意一对元素
,都有
,则称
具有性质
.
(1)当
时,试判断集合
和
是否具有性质
?并说明理由;
(2)当时
,若集合
具有性质
,
①判断集合
是否一定具有性质
?并说明理由;
②求集合中
元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f659a45edcc7ddf06dd15af80b72e630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b645549a2abd5eb88b539c01e57a1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba3c901097a02c4c042fe5e528785fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7ccd9e1fb3b8be0115e5b22fd7e6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d339187262345834ce4f28acbd49fae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b5bac75feb05df90a4c14fa6d5cb92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b2efa5e484c017893fab59714113e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②求集合中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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