20-21高二·全国·单元测试
1 . 已知两个正数a,b,可按规则c=an+a+b扩充为一个新数c,在a,b,c三个数中取两个较大的数,按上述规则再扩充得到一个新数,依次下去,将每扩充一次得到一个新数称为一次操作,若p>q>0,对数p和数q经过10次操作后,扩充所得的数为(p+1)m(q+1)n﹣1,其中m,n是正整数,则m+n的值是___ .
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2 . 在数列
中,若
,则
,
,
,
,
,
,
构成公差为2的等差数列.类比上述性质,相应地,在数列
中,若
,则可得结论是:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31aaeac3589bfc4f295f5ca8adedcff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e5531913e2f170465d8df01795cd51.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef1f021d9ddedf6a4ca994e5ff97c32c.png)
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名校
3 . 在等比数列
中,若
,则有等式
,(
)成立.类比上述性质,相应的在等差数列
中,若
,则有等式________ 成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3928a18a0eb2eceb0e2c53f01dae07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29adff776e9a21ce1d304396e3f63e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8a9ded435e78ac87587f9d0bab62535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdee9b919c6e8a8ba4ab8fa9162a2dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2448cf72af76b810310e4cfb9818e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062bb20c647301ecbdadae84b190bcc7.png)
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2014高三·全国·专题练习
名校
4 . 已知命题:“若数列
为等差数列,且
,
(
,
、
),则
”;现已知等比数列
(
,
),
,
(
,
、
),若类比上述结论,则可得到![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63daaf00beb661a7cac39dbb9d1956e7.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e65eeece715981310019bd85fece6bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7426d777b5072f53c5cd23bc066948ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d9712c3b25f3030e166e136d3a4686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d818b5b873dc99baecd6a8d010df2546.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/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faa56d3254c22f7b6e8b21a66e2426c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2a702fd412d814c7dd6b58183f21fc.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b98ef143f8159f3a7dafa1fd2f2370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63daaf00beb661a7cac39dbb9d1956e7.png)
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2019-11-13更新
|
280次组卷
|
5卷引用:2014年高考数学(文)二轮专题复习与测试专题3第1课时练习卷
(已下线)2014年高考数学(文)二轮专题复习与测试专题3第1课时练习卷2019年上海市上海中学高三下学期数学测试2数学试题上海市上海交通大学附属中学2016-2017学年高二上学期摸底考试数学试题(已下线)考向29 推理与证明-备战2022年高考数学一轮复习考点微专题(上海专用)山西省太原市第五中学2022届高三上学期11月月考数学(理)试题
5 . 设
,利用
求出数列
的前
项和
,设
,类比这种方法可以求得数列
的前
项和![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d6d971b0e9fb110f8e7e10cf40404f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2360b3d8ba5dbed53284d71c14bce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddca16e27fe65faa61a2bd80f5cf40ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe229b24e2d56ff6b491725ceae4ff2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58935c7a590b232c5d68fddb8da2b822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99fb593d973e3a8d15c0891dce1024fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee4464b3b4eb6e52ee02f095aae84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d6d971b0e9fb110f8e7e10cf40404f.png)
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8-9高二下·辽宁锦州·期末
6 . 在等差数列
中,有
,其中
分别是
的前
项和,用类比推理的方法,在等比数列
中,有________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0242e98ae52be08247a7cd2bafd806d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057ff2c35d2bbe68dcb65f5786b631f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f361cfa414b52679ba2b700d809b090.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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10-11高二下·江西·期中
7 . 已知在等差数列
中从第二项起,每一项是它相邻两项的等差中项,也是与它等距离的前后两项的等差中项,这样类比,写出在等比数列
中具有的性质是: .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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11-12高三上·上海奉贤·期末
8 . 若
是等差数列,
是互不相等的正整数,有正确的结论:
,类比上述性质,相应地,若等比数列
,
是互不相等的正整数,有_______________________________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0cacf00e89801413913816534cc31c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
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