1 . 已知数列
(
,
)满足
,
,其中
,
.
(1)当
时,求
关于
的表达式,并求
的取值范围;
(2)设集合
.
①若
,
,求证:
;
②是否存在实数
,
,使
,
,
都属于
?若存在,请求出实数
,
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92676454db896b3761333fe2717bce03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fab51121848ce166035ceab6f4e00b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8572a331f30d2b31f8a789a66d0e565c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f4a16760b47e0c3188445c426c5005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f4a16760b47e0c3188445c426c5005.png)
(2)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5646880d6380783634c68d2ddbee2e15.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dd82b5223c2a708c1729db2a3750990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70792383ff1c955255afe70b7c9c90c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08048db0a4115538251553b85da3ddfb.png)
②是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca8b26c3ad6d892590290a2304126bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd8a2fbb8ed23a0d23f293b9edb04a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
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2016-12-03更新
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1286次组卷
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3卷引用:2015届江苏省常州市高三上学期期末调研测试理科数学试卷