1 . 已知集合
,
,则
中元素的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a92ecd031637f3801b7c13080ac350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e4bf69f1be295b623c851d1e155c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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2 . 若三个非零且互不相等的实数
,
,
满足
,则称
,
,
是调和的;若满足
,则称
,
,
是等差的,若集合
中元素
,
,
既是调和的,又是等差的,则称集合
为“好集”,若集合
,集合
,则(1)“好集”
中的元素最大值为_____ ;(2)“好集”
的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9441b9ef89b66a2f7821c0f57d3ec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02746ec8e4220d8b4a174d5e9a711ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f633dedbebb8249daf929c0a96e9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17fab19008d7de7f55d3f8a31447bca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2014·四川成都·一模
解题方法
3 . 已知函数
的定义域为
,给定两集合
及![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
,则集合
的元素个数是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6b2148fae0c835f21c0c8f2131f9bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229e328799fc76704b032e95ac4ecb95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f9fabbbe61a759e52ec975215e2e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc905f4450c237e2b8f4a3e58ac0aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
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2014·江苏淮安·一模
4 . 若等差数列
和等比数列
的首项均为1,且公差
,公比
,则集合
的元素个数最多有_____ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a65832d91e72ee61565fe6feb19728.png)
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13-14高三上·江苏扬州·阶段练习
5 . 设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a16069e95a7ed7e98682755df7357.png)
,
的所有非空子集中的最小元素的和为
,则
=__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a11a16069e95a7ed7e98682755df7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c438976fa206f35f0287f9b7935ca2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
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10-11高三上·湖南长沙·阶段练习
6 . 给定集合
,定义
中所有不同值的个数为集合A两元素和的容量,用L(A)表示,若
,则L(A)=___ ;若数列{an}是等差数列,设集合
,则L(A)关于m的表达式为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788369597548a0e4b6601188ccb25074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98cd3537c4a2a5f6bf8d2b973a10726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9010bb095765c0b0be1e1ecf5dacbf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a873666089d9a9ca1bb14e2d00325d.png)
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