1 . 已知数列
的各项均为正数,观察程序框图,若
、
时,分别有
和
.
(1)试求数列
的通项公式;
(2)令
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11e2fed5a0431d09b425fce5ab11acb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6226b263d7eaae99b449dd56410e841f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754782426d178e3a97f45989412c61c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4432364428f39adabfb3c2a5189cd22.png)
(1)试求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/536d3f13d119ba70a0de54b8d0f843be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/17/d30899a3-d961-4490-b40c-9280463b9aae.png?resizew=209)
您最近一年使用:0次
2017-12-23更新
|
878次组卷
|
2卷引用:福建省闽侯第六中学2018届高三上学期期末考试文数试题
2 . (1)执行如图所示的程序框图,如果输入的
,若输出的
的取值范围记为集合
,求集合
;
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/68a45dbbc6ca444bbd7b6f49cd8e1aee.png)
(2)命题
:
,其中集合
为第(1)题中的
的取值范围;命题
:函数
有极值;[K]若
为真命题,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/a4f883d9bb934151bb74d09b661ec522.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/4ec874799c0f4bd4ab12fda30a0f4407.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/924a15c14ed64daf8455ea096316aa51.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/924a15c14ed64daf8455ea096316aa51.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/68a45dbbc6ca444bbd7b6f49cd8e1aee.png)
(2)命题
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/111dd228aad140ba92759252e05e3111.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/5a57000822d546d5a504b8eb33372eea.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/924a15c14ed64daf8455ea096316aa51.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/4ec874799c0f4bd4ab12fda30a0f4407.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/eee42fa188f649b28e274c924713f720.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/2ea1b375e1b641348e02cfe33cdbca1b.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/c8c69dafba7e4934bb448e6c20ff3813.png)
![](https://img.xkw.com/dksih/QBM/2016/4/29/1572609126055936/1572609132257280/STEM/10dc1e37414b4ec9a2bd7de097eaaad3.png)
您最近一年使用:0次
解题方法
3 . 阅读如图所示程序框图,根据框图的算法功能回答下列问题:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/91b3b8e9-ec9e-41f2-afe6-349b82b1e93e.png?resizew=210)
(Ⅰ)当输入的
时,求输出
的值组成的集合;
(Ⅱ)已知输入的
时,输出
的最大值为8,最小值为3,求实数
的值.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/8/91b3b8e9-ec9e-41f2-afe6-349b82b1e93e.png?resizew=210)
(Ⅰ)当输入的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac6a2f7366e0190592444bb60d3cea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(Ⅱ)已知输入的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e207cf62e3a7e282eac4c4a3455bbf9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
您最近一年使用:0次
14-15高一上·福建宁德·期末
4 . 执行如图所示的程序框图,当输入实数
的值为
时,输出的函数值为2;当输入实数
的值为3时,输出的函数值为7.
![](https://img.xkw.com/dksih/QBM/2019/6/25/2233082095624192/2233428931518464/STEM/92380c0880de4e9cbb574c7b7661ecf4.png?resizew=170)
(1)求实数
的值,并写出函数
的解析式;
(2)求满足不等式
的
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/2019/6/25/2233082095624192/2233428931518464/STEM/92380c0880de4e9cbb574c7b7661ecf4.png?resizew=170)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be1d8c6384d7fabddb693b2b7fcdf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2016-12-02更新
|
1932次组卷
|
3卷引用:2013-2014学年福建省宁德市高一上学期期末考试数学试卷
(已下线)2013-2014学年福建省宁德市高一上学期期末考试数学试卷2015-2016学年湖北航天高中等校高二上学期期中联考数学试卷吉林省蛟河市一中2018-2019学年高一下学期第三次测试数学试题