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2017-2018学年高二12月月考数学(理)试题
2 . (Ⅰ)求612,840的最大公约数;
(Ⅱ)已知
,用秦九韶算法计算:当
时
的值.
(Ⅱ)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a2367bcd89202c7d0e3b66e75a6141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305d76a955a792f249d9389c13161137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03f6ccbb4c090d2e66cda9e5acf44458.png)
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3 . 根据下面的要求,求
┅
值.
(Ⅰ)请将程序框图补充完整;
(Ⅱ)求出(I)中输出S的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda02705c4c503797278dc27fd8598cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad8de276d6e4d30b3d0fc77f1eacfbdc.png)
(Ⅰ)请将程序框图补充完整;
(Ⅱ)求出(I)中输出S的值.
![](https://img.xkw.com/dksih/QBM/2016/11/22/1573164033687552/1573164039905280/STEM/fb580fa39ba241f2802e32bac22a0a47.png)
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4 . (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
5 . 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)
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14-15高一上·福建宁德·期末
6 . 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
11-12高一下·福建泉州·期中
解题方法
7 . 某校在一次趣味运动会的颁奖仪式上,高一、高二、高三各代表队人数分别为120人、120人、
人.为了活跃气氛,大会组委会在颁奖过程中穿插抽奖活动,并用分层抽样的方法从三个代表队中共抽取
人到前排就坐,其中高二代表队有
人.
![](https://img.xkw.com/dksih/QBM/2019/6/18/2228320286195712/2228810250010624/STEM/9937160de3514923b773114093acd50e.png?resizew=195)
(1)求
的值;
(2)把到前排就坐的高二代表队6人分别记为
,
,
,
,
,
,现随机从中抽取2人上台抽奖.求
和
至少一人上台抽奖的概率.
(3)抽奖活动的规则是:代表通过操作按键使电脑自动产生两个
之间的均匀随机数
,
,并按如图所示的程序框图执行.若电脑显示“中奖”,则该代表中奖;若电脑显示“谢谢”,则不中奖,求该代表中奖的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://img.xkw.com/dksih/QBM/2019/6/18/2228320286195712/2228810250010624/STEM/9937160de3514923b773114093acd50e.png?resizew=195)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)把到前排就坐的高二代表队6人分别记为
![](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/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)抽奖活动的规则是:代表通过操作按键使电脑自动产生两个
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
您最近一年使用:0次
2016-12-03更新
|
1619次组卷
|
13卷引用:2011-2012学年福建省安溪一中高一下期中数学试卷
(已下线)2011-2012学年福建省安溪一中高一下期中数学试卷2015-2016学年福建福州五校高一下期中联考数学试卷(已下线)2013-2014学年江西赣州六校高二上学期期末联考理科数学试卷(已下线)2014-2015学年湖北省黄梅一中高二上学期期中考试理科数学试卷2014-2015学年云南省蒙自市蒙自一中高二下学期开学考试数学试卷2015-2016学年江西铅山一中 、横峰中学高二上学期期中理科数学卷2015-2016学年广东湛江一中高一下期末数学(理)试卷湖北省黄冈市2017年秋季高二期末考试数学(文科)试题湖北省黄冈市2017-2018学年高二上学期期末考试数学(文)试题湖北省黄冈市2017-2018学年高二上学期期末考数学(理)试题2018年春人教A版高中数学必修三同步测试:模块综合测评(B)【市级联考】河南省南阳市2018-2019学年高一下学期期中考试数学试题【校级联考】河南省名校联盟2018-2019学年高一5月联考数学试题
2011·福建宁德·一模
名校
8 . 某慈善机构举办一次募捐演出,有一万人参加,每人一张门票,每张100元. 在演出过程中穿插抽奖活动.第一轮抽奖从这一万张票根中随机抽取10张,其持有者获得价值1000元的奖品,并参加第二轮抽奖活动.第二轮抽奖由第一轮获奖者独立操作按钮,电脑随机产生两个数
,
(
,
),随即按如右所示程序框图运行相应程序.若电脑显示”中奖”,则抽奖者获得9000元奖金;若电脑显示”谢谢”,则不中奖.
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208227074048/1570208232497152/STEM/f169e17e285a427587345012966a3b79.png?resizew=225)
(Ⅰ)已知小曹在第一轮抽奖中被抽中, 求小曹在第二轮抽奖中获奖的概率;
(Ⅱ)若小叶参加了此次活动,求小叶参加此次活动收益的期望;
(Ⅲ)若此次募捐除奖品和奖金外,不计其它支出,该机构想获得96万元的慈善款.问该慈善机构此次募捐是否能达到预期目标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6017bcb854ffbaab4ad785055e03d4a.png)
![](https://img.xkw.com/dksih/QBM/2011/5/18/1570208227074048/1570208232497152/STEM/f169e17e285a427587345012966a3b79.png?resizew=225)
(Ⅰ)已知小曹在第一轮抽奖中被抽中, 求小曹在第二轮抽奖中获奖的概率;
(Ⅱ)若小叶参加了此次活动,求小叶参加此次活动收益的期望;
(Ⅲ)若此次募捐除奖品和奖金外,不计其它支出,该机构想获得96万元的慈善款.问该慈善机构此次募捐是否能达到预期目标.
您最近一年使用:0次
2016-11-30更新
|
1306次组卷
|
5卷引用:2011届福建省宁德市高三普通班质量检测理科数学