名校
1 . 在共有2023项的等比数列
中,有等式
成立,类比上述性质,在共有2023项的等差数列
中,相应的有等式______ 成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80eae440bc359521b680637e9401b797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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2 . 已知
为等比数列,
,则有
.若
为等差数列,
,则数列
的类似结论为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f86a8746a583f411fb73c6334eb27b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20a234aa2d8a58d89951aa9a9ba7486.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2080d53d0d9f9f935f7652b1c88fff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-08-13更新
|
35次组卷
|
2卷引用:河南省济源市英才学校2022-2023学年高二下学期期中考试数学试题
名校
3 . 在等比数列
中,有
,类比上述性质,在等差数列
中,有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daee95a6789c64c945e5217e818a82c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-05-10更新
|
266次组卷
|
3卷引用:四川省成都市蓉城高中联盟2022-2023学年高二下期期中考试文科数学试题
名校
4 . 设
是公比为q的等比数列
的前n项积,则数列
,
,
是等比数列且其公比的值是
通过类比推理,可以得到结论:设
是公差为d的等差数列
的前n项和,则数列
,
,
是等差数列,且其公差为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4758844bf59b27141b61baf26ef3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95957397a20e052fb65c6faf5b3312f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4430d0eab74bf18da227da4b17336126.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace3ad09cad0e7ae0c7a410babcbac92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142bd84f63530e1fdf2cc53ab3a14037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4740344514cb6f1de52d3a2d8c3ee087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689dacb4d600f8bd7b94dd71dc849f1d.png)
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5 . 在等差数列
中,若
,则
(
),类比等差数列和等比数列的性质,在正项等比数列
中,若
,则可类比推出( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83dda756cca393b4480163274559fbdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53aca2c7653824652b4ba3736c6e0310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b235254e2d5db781e866b535d9321d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5e72acc9563b77a34d99fe085cfc10.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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6 . 在等差数列
中,公差为
,若
,
,则当
时,
取最大值.类比上述性质,在等比数列
中,公比
,若
,
,则当
时( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3066990f452db57e7c3894be6d1061.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8042f0193d244577d8af2b090050c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ec5d76db9bd05547932966c9913dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fe8fecffe2d718a9a346173e5f7e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca664b1e82da6f50064a76fe118aa80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29773eda9633545d69f641674d2e455f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b87541996da243d7f6be7322031f6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764eff906937f9b1fb58e5abfb2eb8a3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-06-30更新
|
90次组卷
|
2卷引用:陕西省榆林市榆阳区榆林市第十中学2022-2023学年高二下学期期中文科数学试题
7 . 在等差数列
中,如果m,n,k,l,
,且
,那么必有
,类比该结论,在等比数列
中,如果m,n,k,l,
,且
,那么必有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8cc3105b4873bb7a5323c3d6e118d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd2136027d02ba71a46826ee3aad880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef97303eac41f7b4bb850a47320b8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a8cc3105b4873bb7a5323c3d6e118d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd2136027d02ba71a46826ee3aad880.png)
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8 . 在等差数列
中,若
,则有
成立.类比上述性质,在等比数列
中,若
,则存在的等式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd67cf18bd35149475d35f1c603ad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dffd96e81bd803a3517da1794230e4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab3c7f5b4cf0ac13e8c16aa5b0a2b15.png)
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2022-05-02更新
|
112次组卷
|
2卷引用:陕西省咸阳市武功县2021-2022学年高二下学期期中文科数学试题
9 . 下列推理正确的是( )
A.如果不买体育彩票,那么就不能中大奖,因为你买了体育彩票,所以你一定能中大奖 |
B.若命题“![]() ![]() ![]() |
C.在等差数列![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.如果![]() ![]() |
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10 .
是等差数列,若m,n,p,
,则
;类比以上结论有:
是等比数列,若m,n,p,
,则_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac523639ecff017ea72632218fd0106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095397b70a73758437ba2198b61fd79b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac523639ecff017ea72632218fd0106.png)
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