名校
1 . 设集合
,其中
是正整数,记
.对于
,
,若存在整数k,满足
,则称
整除
,设
是满足
整除
的数对
的个数.
(I)若
,
,写出
,
的值;
(Ⅱ)求
的最大值;
(Ⅲ)设A中最小的元素为a,求使得
取到最大值时的所有集合A.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a784e0ba1c17aba6990123fe39b89114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec99c57bf7997bd93e1ed8f48d5af9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2696df108ff4ad5a2d46a1b656f859e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a272adba0f1120109824440f0e252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f98b06f1247856f443a4cb571104e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097d09a11d999ee464ee6e67ee55783e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b6a5373bc8eb13772b8e6d047779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca83d5e388afb005ccf2548661775c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a6c5a965c335b8da05e697da2c7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319b6a5373bc8eb13772b8e6d047779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/612f4d31671d4eb163a5a1ed0570af9b.png)
(I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8348dd5d3b8c0ed6a0738d31a0cf3b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e1bc81e3941341782c1e4babf150ce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca83d5e388afb005ccf2548661775c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dbf211a16295eed3dd56fc97d8cc618.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca83d5e388afb005ccf2548661775c0.png)
(Ⅲ)设A中最小的元素为a,求使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca83d5e388afb005ccf2548661775c0.png)
您最近一年使用:0次
2020-11-06更新
|
660次组卷
|
4卷引用:北京市朝阳区2020届高三年级下学期二模数学试题
2 . 对于无穷数列
,若
,
,则称数列
是数列
的“收缩数列”,其中
分别表示
中的最大项和最小项,已知数列
的前n项和为
,数列
是数列
的“收缩数列”
(1)若
求数列
的前n项和;
(2)证明:数列
的“收缩数列”仍是
;
(3)若
,求所有满足该条件的数列
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641df1c74b500ec998622b756a173115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f72dcd6cb9ea1a0c32a16e4914668bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e36bff57bcfa86432b340e25e51d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e97b763ff0478b1bd535810c596b3cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6be5a8d331f694e083d67675e03d2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61dfe50de35322cd725884838f004c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1cebb9ccd8e2046a99c1473df04cca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2020-09-03更新
|
1075次组卷
|
4卷引用:2020届上海市青浦区高三二模数学试题
3 . 已知有穷数列A:
(
且
).定义数列A的“伴生数列”B:
,其中
(
),规定
,
.
(1)写出下列数列的“伴生数列”:
①1,2,3,4,5;
②1,
,1,
,1.
(2)已知数列B的“伴生数列”C:
,
,…,
,…,
,且满足
(
,2,…,n).
(i)若数列B中存在相邻两项为1,求证:数列B中的每一项均为1;
(ⅱ)求数列C所有项的和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55aea2d6309205fe59687ea3440bb2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edfe398651d365506cabd498ee5d1556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860a70d427b4c46206e43f17299e9b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11829c0cd3e74ffdf951e2d484718d9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b740bc48c9718a294c11a1485fd14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b606fdc64a88a0938d3d60c3ea3e9.png)
(1)写出下列数列的“伴生数列”:
①1,2,3,4,5;
②1,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
(2)已知数列B的“伴生数列”C:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f79be89b8c6227b68eded6b675546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e5dfcc28321b563a8012ec2899c502.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c59e7c7a84a4bdb959e95536d0404ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d84a2027dc4157991c40673b6b4d23a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
(i)若数列B中存在相邻两项为1,求证:数列B中的每一项均为1;
(ⅱ)求数列C所有项的和.
您最近一年使用:0次
4 . 英国数学家泰勒发现了如下公式:
.则下列数值更接近
的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff9bc781c82fc6328909a12cadbd692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd87c578f09b6d397dfdc55cddd8538.png)
A.0.91 | B.0.92 | C.0.93 | D.0.94 |
您最近一年使用:0次
2020-04-06更新
|
685次组卷
|
5卷引用:湖北省武汉市蔡甸区汉阳一中2020届高三下学期仿真模拟(一)理科数学试题
湖北省武汉市蔡甸区汉阳一中2020届高三下学期仿真模拟(一)理科数学试题山东省青岛市黄岛区2019-2020学年高三上学期期中数学试题(已下线)专题13 泰勒(已下线)湖南省株洲市2023届高三下学期一模数学试题变式题6-10(已下线)【一题多变】泰勒公式 应用奇特
5 . 为了拓展城市的旅游业,实现不同市区间的物资交流,政府决定在
市与
市之间建一条直达公路,中间设有至少8个的偶数个十字路口,记为
,现规划在每个路口处种植一颗杨树或者木棉树,且种植每种树木的概率均为
.
(1)现征求两市居民的种植意见,看看哪一种植物更受欢迎,得到的数据如下所示:
是否有
的把握认为喜欢树木的种类与居民所在的城市具有相关性;
(2)若从所有的路口中随机抽取4个路口,恰有
个路口种植杨树,求
的分布列以及数学期望;
(3)在所有的路口种植完成后,选取3个种植同一种树的路口,记总的选取方法数为
,求证:
.
附:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![](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/fad491e5b5e14c49ef8b7004ebcfcef9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)现征求两市居民的种植意见,看看哪一种植物更受欢迎,得到的数据如下所示:
A市居民 | B市居民 | |
喜欢杨树 | 300 | 200 |
喜欢木棉树 | 250 | 250 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02ca40b5a7476f844dad0e5f79fa69aa.png)
(2)若从所有的路口中随机抽取4个路口,恰有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(3)在所有的路口种植完成后,选取3个种植同一种树的路口,记总的选取方法数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3c7f2662abd9d2ae21fcdcd59106b9.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc485c58dbd6e50bfb352030f4a1c42.png)
![]() | 0.100 | 0.050 | 0.010 | 0.001 |
![]() | 2.706 | 3.841 | 6.635 | 10.828 |
您最近一年使用:0次
2020-03-04更新
|
1385次组卷
|
5卷引用:2020届河南省顶级名校高三1月教学质量测评理科数学试题
2020届河南省顶级名校高三1月教学质量测评理科数学试题(已下线)基础套餐练09-【新题型】2020年新高考数学多选题与热点解答题组合练2020届安徽省合肥市高三下学期“停课不停学”线上考试数学(理)试题华大新高考联盟2020届高三1月教学质量测评数学(理)试题(已下线)广东省江门市棠下中学2022-2023学年高三上学期数学试题变式题17-22
6 . 已知无穷数列
,
,
满足:对任意的
,都有
=
,
=
,
=
.记
=
(
表示
个实数
,
,
中的最大值).
(1)若
=
,
=
,
=
,求
,
,
的值;
(2)若
=
,
=
,求满足
=
的
的所有值;
(3)设
,
,
是非零整数,且
,
,
互不相等,证明:存在正整数
,使得数列
,
,
中有且只有一个数列自第
项起各项均为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cca3ebd10a38201939a3694cc95186a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8c29b297e3ec337c3139c2a1ebed1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7085d141e33ba0188e58fa2177d89ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e247a57ce9b3ec150056b8e3a717f5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176c7bb5d8eca67af63f0d6faf2aecf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fefa3552cf83e73ee8725ee9cb00d72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07484865eeeb041620019c0cee8bf94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee2fc47f43da74f00119fb18a612169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8fce7a8bf18b69836c2fff024dc1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ad4fa49a05d59e1edc27f95d21b97a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106a647a6e5906d1ef744b54c8ddc9a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b42791b77924729f7e31712177b26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f572b99ec09f2c6cbf9ea12ed4cdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6421ab6a8c25fdfd76167df1b5054127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d199f9235e3bd36bfa78c3772e941896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9995dc01a7ea1c11987cc1c761137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6c97be925150c0ec07a7bcba1ce0d8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b42791b77924729f7e31712177b26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f572b99ec09f2c6cbf9ea12ed4cdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ccdcfb8804ad9c77ffc2fc91eeb4d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61264cdd877b6db34d3f4a400bb52d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6421ab6a8c25fdfd76167df1b5054127.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b42791b77924729f7e31712177b26af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f572b99ec09f2c6cbf9ea12ed4cdd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6421ab6a8c25fdfd76167df1b5054127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ec136508ece9e78a8a297f497f495d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38ab39642bcfef4b42a271c6aa05da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6efca1e0f856d02d73032e5e734651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cca3ebd10a38201939a3694cc95186a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
您最近一年使用:0次
7 . 设
我们可以证明对数的运算性质如下:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042897ef7240e0f6039c79b4afe8176.png)
.我们将
式称为证明的“关键步骤”.则证明
(其中
)的“关键步骤”为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a08b88c327b7525f54a0c07c4cdb5f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c042897ef7240e0f6039c79b4afe8176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5b710748a6c2604da45ba1080aaaee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c512c047783c07da1d4f4455a4033ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20bf29391da7eccd37b59c1898c158a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d53ee0d97877274c321928c897135c6.png)
您最近一年使用:0次
2019-12-31更新
|
302次组卷
|
3卷引用:2020届上海市静安区高三一模(期末)数学试题
2020届上海市静安区高三一模(期末)数学试题(已下线)4.2 对数(重点练)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第一册)上海市静安区2019-2020学年高三上学期期末数学试题
名校
8 . 已知函数
的导函数
是偶函数,若方程
在区间
(其中
为自然对数的底)上有两个不相等的实数根,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a86b92b2e462ba34f241fee3ac0690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33770cd4511e0f50f2d959ffd913e97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed91ec13cbaad11fdcbaac37f199cb81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f909328384f9c52134243753d9c954ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-07-18更新
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3356次组卷
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16卷引用:广东省广州、深圳市学调联盟2019-2020学年高三下学期第二次调研数学(文)试题
广东省广州、深圳市学调联盟2019-2020学年高三下学期第二次调研数学(文)试题河北省沧州市第一中学2019-2020学年高二下学期4月月考数学试题吉林省梅河口市第五中学2020届高三第六次模拟考试数学(文)试题2020年浙江省新高考考前原创冲刺卷(三)(已下线)第08练 函数与方程-2021年高考数学(理)一轮复习小题必刷吉林省通化市梅河口五中2020届高三高考数学(文科)六模试题重庆一中2018-2019学年高二下学期期末数学(文科)试题2020届宁夏六盘山高级中学高三上学期期中(A卷)数学(理)试题2020届内蒙古包钢一中高三上学期10月月考数学(理)试卷2019届四川省仁寿第一中学校南校区高三下学期第三次模拟数学(文)试题浙江省2021届高三高考数学压轴卷试题湖北省襄阳市第五中学2021-2022学年高三上学期开学考试数学试题河北省石家庄市第一中学东校区2022届高三上学期教学质量检测(一)数学试题苏教版(2019) 选修第一册 一蹴而就 第5章 单元整合江西省九江市柴桑区第一中学2022届高三上学期第二次月考数学(文)试题辽宁省沈阳市第三十一中学2022届高三上学期10月份月考数学试题
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9 . 学校艺术节对同一类的
,
,
,
四件参赛作品,只评一件一等奖,在评奖揭晓前,甲、乙、丙、丁四位同学对这四项参赛作品预测如下:
甲说:“
或
作品获得一等奖”; 乙说:“
作品获得一等奖”;
丙说:“
,
两项作品未获得一等奖”; 丁说:“
作品获得一等奖”.
若这四位同学中有且只有两位说的话是对的,则获得一等奖的作品是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
甲说:“
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
丙说:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
若这四位同学中有且只有两位说的话是对的,则获得一等奖的作品是
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24卷引用:专题12.1 合情推理与演绎推理(讲)【理】-《2020年高考一轮复习讲练测》
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10 . 已知从1开始的连续奇数蛇形排列形成宝塔形数表,第一行为
,第二行为
,
,第三行为
,
,
,第四行为
,
,
,
,如图所示,在宝塔形数表中位于第
行,第
列的数记为
,例如
,
,
,若
,则
( )
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A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:2020届湖北名师联盟高三上学期第一次模拟考试数字(文)试题