名校
1 . 设集合
是非空集合
的两个不同子集.
(1)若
,且
是
的子集,求所有有序集合对
的个数;
(2)若
,且
的元素个数比
的元素个数少,求所有有序集合对
的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a518060a86e8bb366d103ccb0b956be3.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/41be4f4fbf21555f325caf280c392c00.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541e580c3d6f81c223f79400e738af6b.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/41be4f4fbf21555f325caf280c392c00.png)
您最近一年使用:0次
名校
2 . 设集合
是非空集合
的两个不同子集.
(1)若
,且
是
的子集,求所有有序集合对
的个数;
(2)若
,且
的元素个数比
的元素个数少,求所有有序集合对
的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520eeac333d308b57ad3b899e24e5fa6.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/a95d247ffb2774bb7e22708b25daf7f0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc61971e3389bb5c43be486b865a2b4.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/a95d247ffb2774bb7e22708b25daf7f0.png)
您最近一年使用:0次
名校
3 . 设整数
,集合
,
是
的两个非空子集.记
为所有满足
中的最大数小于
中的最小数的集合对
的个数.
(1) 求
;(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f874a8de8edb3794b14000fdce563baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16fc3964dc23a28b7b9f9738ea0e1011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.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/4dee5f21342a14553c65df972f2e62b1.png)
(1) 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
您最近一年使用:0次
2016-12-04更新
|
412次组卷
|
2卷引用:江苏省南京师范大附中2020届高三下学期6月高考模拟(1)数学试题
名校
解题方法
4 . 设集合
是
的两个非空子集,且满足集合
中的最大数小于集合
中的最小数,记满足条件的集合对
的个数为
.
(1)求
的值;
(2)求
的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0edf87f1f5e5cd72dce579196e63e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.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/41be4f4fbf21555f325caf280c392c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be56ba2c0be4776fa76fde419d707d0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
您最近一年使用:0次
2016-12-03更新
|
1317次组卷
|
2卷引用:2015届江苏省南京市、盐城市高三第一次模拟考试理科数学试卷