1 . 将1,2,3,4,5,6,7,8,9这九个数填入如图所示
的正方形网格中,每个数填一次,每个小方格中填一个数,考虑每行从左到右,每列从上到下,两条对角线从上到下这8个数列,给出下列三个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/a1197d5c-e308-484e-8bd3-99217fca01ed.png?resizew=65)
①这8个数列中最多有3个等比数列;
②若中间一行、中间一列、两条对角线均为等差数列,则中心数必为5;
③若第一行、第一列均为等比数列,则其余6个数列中至多有1个等差数列.
其中所有正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/777d8fccf0cf8b55a68488fe48b78744.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/a1197d5c-e308-484e-8bd3-99217fca01ed.png?resizew=65)
①这8个数列中最多有3个等比数列;
②若中间一行、中间一列、两条对角线均为等差数列,则中心数必为5;
③若第一行、第一列均为等比数列,则其余6个数列中至多有1个等差数列.
其中所有正确结论的序号是
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名校
2 . 已知在等比数列
中,
、
分别是函数
的两个驻点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d49c222678c9ea3603158e08cb8f326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
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2023-04-14更新
|
706次组卷
|
4卷引用:上海市青浦高级中学2023-2024学年高二下学期期中质量检测数学试卷
上海市青浦高级中学2023-2024学年高二下学期期中质量检测数学试卷(已下线)专题04数列--高二期末考点大串讲(沪教版2020选修)上海市闵行区2023届高三二模数学试题(已下线)专题06 数列及其应用
3 . 在等差数列
中,若
,
,则
.类比此性质,在等比数列
中,
,
,可得
、
、
、
之间的一个不等关系为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946fdb370ab639db644674b52c0464af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0dd3fb6af23def773e1b0032a4f3c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a548938d87c80ac47910607d3857007f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64fcc69dc28bc11b22f5c9bec9e2aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ada2c9f82459340da96274ee60ffbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0fcf02ab751cc3910a0bc0872ac2a7.png)
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4 . 设数列
,
,
,
满足前三项成等比数列且和为
,后三项成公差不为0的等差数列且和为12,若满足条件的数列个数大于1,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
5 . 已知等比数列
的公比为q,且
,
,则q的取值范围为______ ;能使不等式
成立的最大正整数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1381f0937c6052ce088e0eaee7df4880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f7f603080feda2665bc02f43acb391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e894a7f3b0bdb3d0947bc86ba08211c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2020-08-31更新
|
1122次组卷
|
8卷引用:专题2.2等比数列及其求和(B卷提升篇)-2020-2021学年高二数学必修五同步单元AB卷(人教A版,浙江专用)
(已下线)专题2.2等比数列及其求和(B卷提升篇)-2020-2021学年高二数学必修五同步单元AB卷(人教A版,浙江专用)重庆市第一中学2020届高三下学期适应性考试数学(理)试题重庆市第一中学校2021届高三上学期第三次月考数学试题(已下线)2021届高三高考数学适应性测试八省联考考后仿真系列卷七(已下线)“8+4+4”小题强化训练(30)等比数列及其前n项和-2022届高考数学一轮复习(江苏等新高考地区专用)(已下线)一轮巩固卷02-【赢在高考·黄金20卷】备战2022年高考数学模拟卷(新高考专用)内蒙古阿拉善盟2023届高三第一次模拟考试数学(理)试题(已下线)专题7 等比数列的性质 微点1 等比数列项的性质
6 . 给出下列命题:①等比数列1,
,
,
,…(
)的前
项和为
;②等差数列
中,若
,
,则该数列的前13项或14项之和最大;③若等差数列
公差为
,则其前
项和
;④若等比数列
单调递增的充要条件是首项
,且公比
;⑤若数列
满足
,
,则
.其中正确的是______ (把你认为正确的命题序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8cc0b4997cae4d8aec791a1d3923314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b367f647833446cf684c3ddedb1592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef311c39ffa93698337da80bb551d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c339234052548a53ce660908f38a1210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/112896d1e2bca1811d0e4584db40906c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efd3ae9ca4a2f807b476f09bc7d135b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c5dca4e85b2473ebe529b897e7c4086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97034664bd213a31e81b9625f83d0e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c700b3d474933d7a0c68275e03844474.png)
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7 . 已知
是各项都为正数的等比数列,则前
项和为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.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/2570cec8ebbc4ebf384873ae7d7c0e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfc875ca919921e8f63a6fca648561b.png)
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2017-09-19更新
|
926次组卷
|
4卷引用:河南省郑州市第一中学网校2017-2018学年高二上学期期中联考数学(文)试题
12-13高三上·浙江台州·期末
8 . 若
是等比数列,
是互不相等的正整数,则有正确的结论:
.类比上述性质,相应地,若
是等差数列,
是互不相等的正整数,则有正确的结论:_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b33079c8fb634c6e98eb36b441a461.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
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