名校
解题方法
1 . 对于数集
,其中
,
,定义向量集
,若对任意
,存在
使得
,则称
具有性质
.
(1)判断
是否具有性质
;
(2)若
,且
具有性质
,求
的值;
(3)若
具有性质
,求证:
且当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc74f637a475398749159a361026793.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/95ef0ee89b74da72ed80e51b06788cba.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)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee021c7c1a5df78501eaca655726212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f63c40ece6a988e75c73eb8ab1c626b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)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)
您最近一年使用:0次
2024-04-29更新
|
334次组卷
|
7卷引用:北京市第四十四中学2022-2023学年高一下学期期中练习数学试题
名校
2 . 有如下条件:
①对
,
,2,
,均有
;
②对
,
,2,
,均有
;
③对
,
,2,3,
;若
,则均有
;
④对
,
,2,3,
;若
,则均有
.
(1)设函数
,
,请写出该函数满足的所有条件序号,并充分说明理由;
(2)设
,比较函数
,
,
值的大小,并说明理由;
(3)设函数
,满足条件②,求证:
的最大值
.(注:导数法不予计分)
①对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33de1fa20e0bb8fa1d5a4f4bfc471139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2f24b4fa5308650a244d954f78f09b.png)
②对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33de1fa20e0bb8fa1d5a4f4bfc471139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ca3ecbbaca8eeb1cfa8f4035f7d5726.png)
③对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33de1fa20e0bb8fa1d5a4f4bfc471139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c8f1c6b5fa1bd63ca493856b8e600b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5141a62d81c04d7c20f4135cc7f1dbb.png)
④对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33de1fa20e0bb8fa1d5a4f4bfc471139.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c8f1c6b5fa1bd63ca493856b8e600b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa8e4c6783752d1090385ff08a9f7a7.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38724fa88a08e6b45a5eb248ca8807b9.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1c7571006978c5115a9a6bd764698a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ed4309f300802aef509cf52bd754ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da281ccca7c32c2052b29c83383fcc5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb71a578b8da093174f94e14fe4cb4bb.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbdd006d6c6aa4c00282f564718a03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db7f4871ab297375b0e1598479164f5.png)
您最近一年使用:0次
2024-02-23更新
|
511次组卷
|
5卷引用:北京市海淀区北京大学附属中学行知学院2022-2023学年高一下学期期中数学试题
22-23高三下·北京海淀·开学考试
名校
解题方法
3 . 若无穷数列
的各项均为整数.且对于
,
,都存在
,使得
,则称数列
满足性质P.
(1)判断下列数列是否满足性质P,并说明理由.
①
,
,2,3,…;
②
,
,2,3,….
(2)若数列
满足性质P,且
,求证:集合
为无限集;
(3)若周期数列
满足性质P,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9672f1800f9544e878955f289aa3fc6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f2c7c9305b404f7363a376af101aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa38a89b95fa1ea7bfc91630f6c7437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e0fbad04faddb5408ce4e7e6e3ed816.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)判断下列数列是否满足性质P,并说明理由.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b80c1ed7b10ac7ca1cd81cdd39a8fcc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ce6401cf48b9546342b1b96ac2cc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87b351f16728b0023fd63678f8103c7.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f224a5a66c91792eceb8f8c725183f67.png)
(3)若周期数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
2024-02-10更新
|
1517次组卷
|
14卷引用:北京市海淀区中国人民大学附属中学2022-2023学年高二下学期期中数学复习试题(2)
北京市海淀区中国人民大学附属中学2022-2023学年高二下学期期中数学复习试题(2)(已下线)北京市海淀区清华大学附属中学2023届高三下学期开学调研测试数学试题北京市第五中学2023届高三下学期3月检测数学试题北京市海淀区教师进修学校附属实验学校2023届高三零模数学试题北京市清华大学附属中学2023届高三下学期4月月考数学试题(已下线)2023年北京高考数学真题变式题16-21北京市海淀区首都师范大学附属中学2023-2024学年高三上学期阶段练习(1月)数学试题(已下线)北京市第四中学2023-2024学年高三下学期开学考试数学试题北京市顺义区第一中学2024届高三下学期高考考前适应性检测数学试卷湖南省2024届高三数学新改革提高训练一(九省联考题型)2024届高三新改革数学模拟预测训练一(九省联考题型)湖南省张家界市民族中学2023-2024学年高二下学期入学考试数学试题(已下线)压轴题05数列压轴题15题型汇总-1广东省广州市执信中学2024届高三下学期教学情况检测(二)数学试题
名校
4 . 已知函数
.
(1)求证:函数
在区间
上为单调递增函数;
(2)若函数
在
上的最大值在区间
内,求整数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5df958c8a36908337f48960db74153.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da5b8e19e0aaf01b401e4f239b3d9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88ea43f1e36cc084b861b7f5ea0c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-12-19更新
|
372次组卷
|
2卷引用:北京市汇文中学2023-2024学年高三上学期期中考试数学试题
名校
5 . 已知
是无穷数列,
,
,且对于
中任意两项
,
,在
中都存在一项
,使得
.
(1)若
,
,求
;
(2)若
,求证:数列
中有无穷多项为0;
(3)若
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55ef34345210312db273ab4981c40f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0616dca5cf0229b9f801365cc2bcfff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba50a82a53f0e597c096ccf5746f1b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53abaaac2e62f510d996e6db22aefe7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23725094c363fd158166a8698971694c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657435e1fda84118e7f63c97505c8b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
您最近一年使用:0次
名校
6 . n个有次序的实数
,
,
,
所组成的有序数组
称为一个n维向量,其中
称为该向量的第
个分量.特别地,对一个n维向量
,若
,
,称
为n维信号向量.设
,
,
则
和
的内积定义为
,且
.
(1)直接写出4个两两垂直的4维信号向量.
(2)证明:不存在14个两两垂直的14维信号向量.
(3)已知k个两两垂直的2024维信号向量
,
,
,
满足它们的前m个分量都是相同的,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/086eb439f6a1578fdba904825340772d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee470d0232b6b37f2fb2ab15aae0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d5cd21ff3c760e7ec3130f5bfa8c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da796531c7b6c590a22b811df1fcef53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cf905f1d4af294ebc9c19facd64c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d5cd21ff3c760e7ec3130f5bfa8c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a414d372b680499f1c8ca1a7ae5f4d82.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd04a2f39ff6f36e9531bac16960d71e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c7c807358869b70becd16ca80e1714.png)
(1)直接写出4个两两垂直的4维信号向量.
(2)证明:不存在14个两两垂直的14维信号向量.
(3)已知k个两两垂直的2024维信号向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596afe6f8149e39c53d36a759bee6151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2182d0dad848ccc76944d976befbf2.png)
您最近一年使用:0次
名校
7 . 记集合
,对于
,定义:
为由点
确定的广义向量,
为广义向量的绝对长度,
(1)已知
,计算
;
(2)设
,证明:
;
(3)对于给定
,若
满足
且
,则称
为
中关于
的绝对共线整点,已知
,
①求
中关于
的绝对共线整点的个数;
②若从
中关于
的绝对共线整点中任取
个,其中必存在4个点
,满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/381874691b19a31e7539ff684fcc2f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a64eb3f179975a033437254b9c48bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88fc7a0fbc27cc51d4ca16374472a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29eb7090c74bc1e6e61ec05ebd4c1df0.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5735de3bde18977c9d7fa5b7aa5b1398.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5895d7040f594720ca205ac34f49194.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ae313593dc2df564fc152927c3b496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e061aa7bdff38f76f743277062cd82b4.png)
(3)对于给定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed821ca1553d21ed1617c8d0750ac12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec1d9597db7d3e6704bd3f3679d5ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3084c01d9fd37428617a4966943f34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16f9447c7e30e5e772545920824a7ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305992016871e75864ad17004e38e95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ecd3969bd844a1db618799e5ef7bf0.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7107818eb9768a9a0c177468457754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
②若从
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7107818eb9768a9a0c177468457754b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c527c5330262eb2add571c452e9221b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aae0cc30075fa3bac6dc660a57d93ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
8 . 已知数列
的各项均为正数,且满足
(
,且
).
(1)若
;
(i)请写出一个满足条件的数列
的前四项;
(ii)求证:存在
,使得
成立;
(2)设数列
的前
项和为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ed96aad7b0e252d7fdd368b3dbeed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ade3a1d01605706801e238726e55fb.png)
(i)请写出一个满足条件的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(ii)求证:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d46ed175ec660cec119df2fb6bf6205b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf174ef8053ed5831145c07938c59f6.png)
(2)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837cf0b208961e2682a0b1f47c220459.png)
您最近一年使用:0次
9 . 已知点集
.设非空点集
,若对
中任意一点
,在
中存在一点
(
与
不重合),使得线段
上除了点
外没有
中的点,则
中的元素个数最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b22251511d66ad0c49513dae61f2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fcd91711251a8bfe28b22c870dad80.png)
![](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/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fb56e714978b3dd418996c1f75768c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
10 . 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)
您最近一年使用:0次