名校
1 . 已知二次函数
的图象的顶点坐标为
,且过坐标原点
.数列
的前
项和为
,点
在二次函数
的图象上.
(Ⅰ)求数列
的通项公式;
(Ⅱ)设
,数列
的前
项和为
,若
对
恒成立,求实数
的取值范围;
(Ⅲ)在数列
中是否存在这样一些项:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756b338721e124048b547d3268a67ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaaab658512ef8356e228879582cf94.png)
,这些项都能够构成以
为首项,
为公比的等比数列
?若存在,写出
关于
的表达式;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5f2932b9863fb218b7a990aa80abfc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8df5cca91bbd56bd8c68d3a9f87012e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(Ⅰ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc0c5e305fdd6773ca9d5ce1d1fb4368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89d1f32c1605cfdb8e8855051b9f6ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255afadbbd30a385b4a433f95b27962d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c8763f6700bccac95949fc0d316f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(Ⅲ)在数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d737c1047a14cee12a6671383e244fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756b338721e124048b547d3268a67ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaaab658512ef8356e228879582cf94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/756b5423a1ef40732567e3b18098270f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a1cd8452683923f3fcade9034f78a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e956b81c5f97904f3d7c0843c717cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55a7d201b7336a2b950c7fb05409bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2016-12-03更新
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1825次组卷
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5卷引用:2015届北京市顺义区高三第一次统一练习(一模)理科数学试卷
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