名校
1 . 设函数
,已知集合
为
的极值点
,
,若存在实数
,使得集合
中恰好有
个元素,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7caed1b9dbe9c226bf4d3f496a4f2e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e719ec1cc00722c36e7e86fb844ac418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c740bdf00c9e2680500d4eba06021f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2018-05-02更新
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3卷引用:山东省日照市2018届高三4月校际联合期中考试数学(理)试题
2 . 设
,其中
,定义
.
(1)若
,写出所有可能的
;
(2)若
,求
的最大值;
(3)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a98a3d1f11a31e9ab1a3dde94c2d58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e0702a46dfb16c6e85cbf5a3877ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c3c53c5558abcfb17762237955631.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befc2be4a48e78038cdf2002e577e9a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa1715e185a859198607d5c8363261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa1715e185a859198607d5c8363261b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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3 . 对于数集
,其中
,
.定义向量集
.若对于任意
,存在
,使得
,则称
具有性质
.例如
具有性质
.
(1)若
,且
具有性质
,求
的值;
(2)若
具有性质
,求证:
,且当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f7a53ccddc5210a37f12e3ab6e99df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3fe482c5e20abfc9f89c876f653ae3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94d19f4958658f35f3ecaaca96223136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec1c65f144bd63ed516e001e57852de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f923fcc615e579b8dda937faa9fa40c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01243e3fb9bd7a7711a593f5395b06cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66317f3834697e2b5642906bb751eb25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df99e7b8d91a016727f39ea5a39d8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551ee6e86b2c6e79236dfe3e2e2c24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346549f9adda7eb363f16d355ae68b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
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名校
4 . 已知集合
,其中
,
,
.
表示
中所有不同值的个数.
(
)设集合
,
,分别求
和
.
(
)若集合
,求证:
.
(
)
是否存在最小值?若存在,求出这个最小值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9e56ab45ddf991ae24983027e04b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0c23fa72e4bbbdef69895aef768c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef835c9ad2636a9662fb6c99e3abc78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403eef43448ff6ba342ed0ad5c4b5978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28542a0186cd714deaa181efadff87cd.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef27cd09f4ecc055fd7e72b3b368e5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746a3b7cb3c7ac223c8aa0d4b93ae093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3851739b3d70143beaca9621b265871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce6942492388c0805d27db3a9b8a345.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972fd1bc03c253c043535a8425cfabab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5675fc66a66c7cd74516987fa758984.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403eef43448ff6ba342ed0ad5c4b5978.png)
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2018-03-30更新
|
574次组卷
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4卷引用:北京市东城东直门中学2017-2018学年高三上期中数学试题
北京市东城东直门中学2017-2018学年高三上期中数学试题北京市海淀区教师进修附属实验学校2019~2020学年高一第二学期期中考试数学试题(已下线)数学-6月大数据精选模拟卷05(北京卷)(满分冲刺篇)北京市宣武外国语实验学校2021届高三上学期期中考试数学试题
5 . 对于给定的正整数
,
.对于
,
,定义
.有:当且仅当
,称
;当
(1)
时,
,请直接写出所有的
,满足
.
(2)若非空集合
,且满足对于任意的
,
,
,均有
,求集合
中元素个数的最大值.
(3)若非空集合
,且满足对于任意的
,
,
,均有
,求集合
中元素个数的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b1b1f33e5f96d2a70de652b4878898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f150b65891f345915a5ebabba8f7971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52157f647dff563c2c8487a7dd1106ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6d51e2f0975106ae96182d074387b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aacd1893889db99bc3aae5f1638c5c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8132e0a7fd3062ce42380d55543742.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3342a206b878dd392294c8100a9c73b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c4181810dd9a8071ed62a76d4c9991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc63353caaf91fc9d16a325fde7f61ba.png)
(2)若非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8451dc2a55d783054ab330d74745ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5651215526e6cdebd754192fbd57668f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488819894ee9b8a5a181a18ef0a85f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf39362ac58997f607cb78bcb1824d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(3)若非空集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b300d1f288394ae453d65e464ea4f5d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5651215526e6cdebd754192fbd57668f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488819894ee9b8a5a181a18ef0a85f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae0dbb21e691c84c0b9fbcf5b6e028d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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名校
6 . 已知:集合
,其中
.
,称
为
的第
个坐标分量.若
,且满足如下两条性质:
①
中元素个数不少于
个.
②
,
,
,存在
,使得
,
,
的第
个坐标分量都是
.则称
为
的一个好子集.
(
)若
为
的一个好子集,且
,
,写出
,
.
(
)若
为
的一个好子集,求证:
中元素个数不超过
.
(
)若
为
的一个好子集且
中恰好有
个元素,求证:一定存在唯一一个
,使得
中所有元素的第
个坐标分量都是
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04c8d2e5962266734b677842b1985cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd012d9216e34923d1e1a5e1481483e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d05f3a6e0d625cf73bb656dd85f666d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d218f9864db4a589a4778fcb4d23bb32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a86c79fb771a07a413c755e4295b160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570f38996525564d196bce79c3fef9a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30814d8d521fc3932d9215abb82afcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090a10ccb89e17789ec5ef5d04093c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3342a206b878dd392294c8100a9c73b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d5c085395803c2794ea1e5b3d685c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e1862efa4931cbf76743033ad6f1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1ad18371ec533aeac27cf1fad95c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c632c1dee2f3849015044acedc50bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
您最近一年使用:0次
2018-07-02更新
|
521次组卷
|
5卷引用:北京师范大学第二附属中学2017~2018学年度第一学期期中考试高一数学试卷
北京师范大学第二附属中学2017~2018学年度第一学期期中考试高一数学试卷【全国百强校】北京市西城区北京师范大学第二附属中学2017-2018学年高一上学期期中考试数学试题(已下线)卷16-【赢在高考·黄金20卷】备战2021高考数学全真模拟卷(北京专用)北京市中国科学院附属实验学校2021-2022学年高二9月月考数学试题北京市第二十中学2020-2021学年高二上学期期期末试题
2018高三·全国·专题练习
名校
解题方法
7 . 已知集合
为集合U的n个非空子集,这n个集合满足:
①从中任取m个集合都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a636b4475956b08abeacf267cd948d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
成立;
②从中任取
个集合都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532ba7f661d6bb1172fca07cfa27295.png)
成立.
(1)若
,
,
,写出满足题意的一组集合
;
(2)若
,
,写出满足题意的一组集合
以及集合
;
(3)若
,
,求集合
中的元素个数的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252bab154aa5bdc9b4bce4c0d43aaf73.png)
①从中任取m个集合都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a636b4475956b08abeacf267cd948d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
②从中任取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0623207595425920f16e76a7f8f268b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532ba7f661d6bb1172fca07cfa27295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc9a3948ad05d1ce3039a96e2a97f64.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381bd52f1db4108b719cf0458323a310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa157b4f65f3a9aa1f7f82de02e99e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac3649308b528fd56545ba102dc42d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6069b744fec0d7e00a7869ef8407c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52b4f24969673c863b5aff4fb6751ce.png)
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8 . 给定集合
(
且
),定义点集
,若对任意点
,存在
,使得
(
为坐标原点).则称集合
具有性质
,给出一下四个结论:
①
其有性质
;
②
具有性质
;
③若集合
具有性质
,则
中一定存在两数
,使得
;
④若集合
具有性质
.
是
中任一数,则在
中一定存在
,使得
.
其中正确结论有___________ (填上你认为所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0936440efb096bb9fb8f6c567cab73b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6317574b3e11a2efc0afe44741f6695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fd3eef2f2bb471fcd827ba9934a634.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9ba62b434959c2053b68368901cde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b34032d2bb0e85d54ab3a207da7c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278f18781e5c011deaf5490118a2c697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3823ea5cbbcd70e29e61d1f6be797be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abaee92e8779a3a0147a522a5966852e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a016713894e491738f302f01de001b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b8ab477a5eca6e519b3caab1abf41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cca27da5d722d9076a767cb2fe3aadd.png)
④若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ea8f47d8d8d9e1832d52b1c7425450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6ba141730fd5aae78ada1a8eb17d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cca27da5d722d9076a767cb2fe3aadd.png)
其中正确结论有
您最近一年使用:0次
9 . 已知q和n均为给定的大于1的自然数.设集合M={0,1,2,…,q-1},
集合A={x|x=x1+x2q+…+xnqn-1,xi∈M,i=1,2,…,n}.
(1)当q=2,n=3时,用列举法表示集合A.
(2)设s,t∈A,s=a1+a2q+…+anqn-1,t=b1+b2q+…+bnqn-1,其中ai,bi∈M,i=1,2,…,n.证明:若an<bn,则s<t.
您最近一年使用:0次
2018-02-02更新
|
405次组卷
|
4卷引用:陕西省黄陵中学高新部2017-2018学年高一上学期期末考试数学试题
陕西省黄陵中学高新部2017-2018学年高一上学期期末考试数学试题(已下线)2019高考备考一轮复习精品资料【理】专题一 集合的概念与运算 教学案(已下线)2019高考热点题型和提分秘籍 【理数】专题1 集合( 教学案)智能测评与辅导[文]-算法、推理与证明(复数)
10 . 已知集合
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d2b07ef113af3d7de279f09c03956b.png)
,
表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
中所有不同值的个数.
(1)若集合
,求
;
(2)若集合
,求证:
的值两两不同,并求
;
(3)求
的最小值.(用含
的代数式表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4ce6be5490570923b903dd8b41af21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d2b07ef113af3d7de279f09c03956b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34eab5752f27333c8764b320fe5ea92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a6fdf9a72190e86809b49ac0496f7d.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cdbe456b157ab21b970a5b59308125b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f994a17ac17c60f8f287167afce4662b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbcbe244cf309094c2815fc3d6407125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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