1 . 设
,
是非空集合,定义二元有序对集合
为
和
的笛卡尔积.若
,则称
是
到
的一个关系.当
时,则称
与
是
相关的,记作
.已知非空集合
上的关系
是
的一个子集,若满足
,有
,则称
是自反的:若
,有
,则
,则称
是对称的;若
,有
,
,则
,则称
是传递的.且同时满足以上三种关系时,则称
是集合
中的一个等价关系,记作~.
(1)设
,
,
,
,求集合
与
;
(2)设
是非空有限集合
中的一个等价关系,记
中的子集
为
的
等价类,求证:存在有限个元素
,使得
,且对任意
,
;
(3)已知数列
是公差为1的等差数列,其中
,
,数列
满足
,其中
,前
项和为
.若给出
上的两个关系
和
,请求出关系
,判断
是否为
上的等价关系.如果不是,请说明你的理由;如果是,请证明你的结论并请写出
中所有等价类作为元素构成的商集合
.
![](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/28b93f7aa7ba32c9dad112ae7caa10d2.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/76b076845d2b97a8b09807f232000aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.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/558b4d40179245aa327521eeff8c2574.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a7c9c05b4d3eac6461747017dcb8cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7902d1a9d757df4d9bc35d45e16d892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba85c8b02a51af9a7f2121f6888de7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b548de80bcd12b1bc37081ac69a7431b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a825fd8b77fbb7342cd408968fb70ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ea1419908c307c68726c8266022584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a15d37048f967e9420c3d117d8231d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050a5bbe5ed5a5ffb338f6754a884fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04042e0bf9c6985ffc72e63134b6416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d65c189a79078617afd2f9a455ccea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5035c62eda0e9238d517fea6b5bb6f0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce240043bb6d7e24a09954f7c72a14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d4afc4786dd071158544fcd1f5b132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1169b97c3532be1b2a67f053a7d2c807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34bc98fb66e6c435ee3f3ae838b56666.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e295975b6e7d533fca11356ef38f0877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/994598ce57f0289a3cb374740e431235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf81dd43d0ab4be39344ef96aa2b25e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b71af6590f0f369c164a054a8b63bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db6e128a3c29b8df7f8743546bb8db.png)
(3)已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b36e3ca48d6825b91d99dc49861584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b55a10b9c9abf002dc82b2951251b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1a134d2f29b023f3355aa5b4af457d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451eedd2b6db5a8233816f51788f54a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9efeb4455e30293d412938eeea85d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ad9141b70ad7eadb9dabec40186f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc868066533c40faab358a931a6aeb84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31be75a542de7085c49dddc2403de62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc91509afee726c4279a7767da66dadb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b602d8facb00e929bd7b7dbe607d724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f2368d861c70f08c2721e8181954cd.png)
您最近一年使用:0次
名校
解题方法
2 . 设集合
,
,
(1)若
,求
,
;
(2)若
中只有一个整数,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81a4c655ae2029c0c32e950b20e9bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caef09f47c63163ba3e3b56cc180cb34.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b0cbfbb7f9547c3bdcc8356d456935.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980b31685e13cc2f139ad3aaeeb4b6ef.png)
您最近一年使用:0次
2024·全国·模拟预测
名校
解题方法
3 . 在平面直角坐标系中,两点
的“曼哈顿距离”定义为
,记为
,如点
的“曼哈顿距离”为5,记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
.
(1)若点
是满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
的动点
的集合,求点集
所占区域的面积;
(2)若动点
在直线
上,动点
在函数
的图象上,求
的最小值;
(3)设点
,动点
在函数
的图象上,
的最大值记为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81edb37186c919a2bb19babd562d4ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c59185f3d9547cd9065d10dcbb4127d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afbe9c78193d98af6ca563b800bdd5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5eefd2a1a81c67585f9f62a41fa7cb.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c40732ecce43a13e49377f8be09d21c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21000022a71bdffadccc68ad2435400e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)若动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
(3)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203e4c94465a561ce1d5ba4189dc4ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975cd9c58ca0f0e8913230fb47ef1875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d6bb01f1044358cc5fee441bc62489.png)
您最近一年使用:0次
2024-04-23更新
|
158次组卷
|
3卷引用:江西省上高二中2024届高三适应性考试数学试卷
4 . 定义两个
维向量
,
的数量积
,
,记
为
的第k个分量(
且
).如三维向量
,其中
的第2分量
.若由
维向量组成的集合A满足以下三个条件:①集合中含有n个n维向量作为元素;②集合中每个元素的所有分量取0或1;③集合中任意两个元素
,
,满足
(T为常数)且
.则称A为T的完美n维向量集.
(1)求2的完美3维向量集;
(2)判断是否存在完美4维向量集,并说明理由;
(3)若存在A为T的完美n维向量集,求证:A的所有元素的第k分量和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3e014b5001732bc4b37be2b03c4033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00efefb7f52ad5c9dbdb180e577ee54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028076d0553b70f0fdae6beff69a10ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8c5d928c389d3abb01ca33fedf17efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00da2c261a6ecd7533ffb8e153eaa506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d9e604bcc449034230149a89d746a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b4b3879d1c6debf0333008f686634e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea687406a05d37d0761cd1a3455c804f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773ba4a7e65c27fb359ba7aadd49f797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d344174267f996c7cefecfd6985d380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cbe607b41f76db6418ce01831a1d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d9e604bcc449034230149a89d746a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fdb50eea11f40d9f3c37052c45894a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57aabc9b21bc15ae35720679a7b6d1ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10772b376bc43eb5c33cfd7ba9771657.png)
(1)求2的完美3维向量集;
(2)判断是否存在完美4维向量集,并说明理由;
(3)若存在A为T的完美n维向量集,求证:A的所有元素的第k分量和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912092af5b5301c659e6e86a7e858f38.png)
您最近一年使用:0次
2024-04-23更新
|
649次组卷
|
2卷引用:2024届江西省九江市二模数学试题
名校
5 . 设A是正整数集的一个非空子集,如果对于任意
,都有
或
,则称A为自邻集.记集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9e547b17582b99e548037172eeff3.png)
的所有子集中的自邻集的个数为
.
(1)直接写出
的所有自邻集;
(2)若n为偶数且
,求证:
的所有含5个元素的子集中,自邻集的个数是偶数;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417abc71b8bee465746db0a35e776f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ca2371b88985463ba25e4ec1ea453d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c9e547b17582b99e548037172eeff3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677fd74842cbce34aed7073cebbd9c58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e47cd514b2920609e3781c87df6ab70.png)
(2)若n为偶数且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831608f09609c37f757f5bfcd01253f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5818ede14d21f6df9ef9c2bfe09286c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04aba3402e1d191ff96adda7c4af70ef.png)
您最近一年使用:0次
2024-03-12更新
|
439次组卷
|
2卷引用:江西省贵溪市实验中学2024届高三下学期5月高考冲刺压轴卷(一)数学试卷
6 . 已知集合
,
,
.
(1)求
,
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7130c4892bc32bdcf9b29e455e2a9455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f1b604f486d8ba10d8f25194a3a8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55d63a76e1891a481fe31356d6930866.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/959f3c514abb15185a429e1b2f1674e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
7 . 在①
;②“
”是“
”的必要条件;③
这三个条件中任选一个,补充到下面的问题中,并解答.
间题:已知集合
.
(1)当
时,求
;
(2)若___________,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36be0d45c320e74b3bfee0aa5737fb0b.png)
间题:已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad7e0a446b9bc33137cf383563db783.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da331a8c58b97333fcf642c92f089e0c.png)
(2)若___________,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
8 . 已知
,集合
,
.
(1)若
,求
;
(2)若“
”是“
”的充分不必要条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b3cbe0e66f91954f02b91dd70e7a4f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97657d2f5d3c313bb612addd773cb4e0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeec5a1f1bb49c8270e206fa892f372.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
您最近一年使用:0次
2024-02-17更新
|
434次组卷
|
4卷引用:江西省萍乡市2023-2024学年高一上学期期末考试数学试题
9 . 已知集合
,集合
.
(1)当
时,求
;
(2)若
是
的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3df6c554497c6277e339af8184dafc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a669f04639da35e58a18a81a8901ae3e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318212b9ba5866ba3fd6f4327526443f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
10 . 已知集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5881ac3d23a08af2b55d1a901ccb5796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddff9a95efe482689e7702ca3c77eee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfa1a02d2a09be021d3dd8ca593bc10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-13更新
|
212次组卷
|
5卷引用:江西省抚州市广昌县第一中学2023-2024学年高一上学期期末数学试题