已知集合
,
(1)判断
、
、
是否属于集合
;
(2)集合
,证明:
是
的真子集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0c2af14396fd2fc90be74c328f7d8f.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291ea2ce31223defa74775e759b77e6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
更新时间:2020-01-30 16:23:14
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解答题-证明题
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【推荐1】已知集合A={x|x=m2-n2,m∈Z,n∈Z}.求证:
(1)3∈A;
(2)偶数4k-2(k∈Z)不属于A.
(1)3∈A;
(2)偶数4k-2(k∈Z)不属于A.
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名校
解题方法
【推荐2】已知函数
.
(1)判断
的单调性,并用定义法证明;
(2)记
的最小值为
,集合
,判断
是否属于集合
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16619ee16011854fd1ec2f8ff72901fc.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f838ed3f1cf0c6fe9450c9ff854fff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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【推荐1】设集合
.
(1)讨论集合
与
的关系;
(2)若
,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bfe72d7afae5394095466d860df6a9.png)
(1)讨论集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07241606934d6c75cf04455979d0e1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】对于任意两个集合A,B,关系式
总成立吗?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa6f6e646989771c6caa5278aaa91de.png)
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