1 . 在数列
中,若
(
为常数),则称
为“等方差数列”,下列是对“等方差数列”的判断:①若
是等方差数列,则
是等差数列;②
不是等方差数列;③若
是等方差数列,则
(
为常数)也是等方差数列;④若
既是等方差数列,又是等差数列,则该数列为常数列.其中正确命题序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea064a22380658581516ffe6784459b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8ae2486d3c03488aef5d72ab205bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362832fa3d3c13c1eafd565349d66dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ef891fc99921b6093392c1e3c5347d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a561552fc52b697f1a7f1c81c2f637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00b57c4d9e40c6ae8b4de50463899bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
A.①③④ | B.②③④ | C.①③ | D.①④ |
您最近一年使用:0次
2023-02-11更新
|
458次组卷
|
4卷引用:广东省惠州市2022-2023学年高二上学期期末数学试题
广东省惠州市2022-2023学年高二上学期期末数学试题(已下线)重难点专题02 等差数列及其前n项和-2022-2023学年高二数学重难点题型分类必刷题(人教B版2019选择性必修第三册)(已下线)模块四 专题5 重组综合练(广东)期末终极研习室(高二人教A版)广东省惠州市博罗县博师高级中学2023—2024学年高二上学期期末模拟考质量检测数学试题
23-24高二下·全国·课前预习
解题方法
2 . 判断正误,正确的写正确,错误的写错误.
(1)等差数列前
项和公式的推导方法是倒序相加.( )
(2)若数列
的前
项和
,则
为常数列.( )
(3)等差数列的前
项和,等于其首项、第
项的等差中项的
倍.( )
(4)
.( )
(1)等差数列前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若数列
![](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/8271bf23009e445137406321047a142b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)等差数列的前
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0365855d9f439487911ff2391fb1ff70.png)
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3 . 判断正误(正确的写正确,错误的写错误)
(1)数列
和数列
是同一个数列.( )
(2)数列中的每一项都与它的序号有关.( )
(3)
与
是不同的概念.( )
(4)有些数列没有通项公式.( )
(1)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66265fdf44defb54192cecb9349a26b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a498a5503156a4485b95c0da967e66.png)
(2)数列中的每一项都与它的序号有关.
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee766a75ae9ee290e403b42b3569db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e38321617930485aed7b188a22f464.png)
(4)有些数列没有通项公式.
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4 . 对于实数a、b、c,有下列命题:
①若
,则a>b;
②若ab>c,则
;
③若a>b>0,且n为正数,则
.
其中,真命题的序号为______ .(写出所有满足要求的命题序号)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
②若ab>c,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65f904b61d1471c6076f322676ae9f0e.png)
③若a>b>0,且n为正数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9361777ad9426527dd4650996fe9c3fc.png)
其中,真命题的序号为
您最近一年使用:0次
5 . 对于实数a、b、c,有下列命题:
①若a>b,则
;
②若a>b,则
;
③若a<b<0,则
;
④若a<b<0,则
;
⑤若a<b<0,则
;
⑥若
,则ac<bd.
其中,假命题的序号为______ .(写出所有满足要求的命题序号)
①若a>b,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
②若a>b,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13b34c99b942b8dd2cbd88ed017de36.png)
③若a<b<0,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2ca67148f90890830b769c6a92c0be.png)
④若a<b<0,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
⑤若a<b<0,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca37933cf74f93e7748dfd060b12127.png)
⑥若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1eec562988a406604d6f42e4d2b8f19.png)
其中,假命题的序号为
您最近一年使用:0次
名校
6 . 下列说法正确的序号为( )
①若
,则
;
②若
,则
;
③若a>b,c>d,则
;
④若
,c<0,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288420f0b137ec90d963e6b5db65fe30.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a44d971fdc197191b4a7c2b3716e84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f7c54faca6eac8af5309942062058d.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa8950fa963eedb948d6a57871478cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125415eb6733489cdc96ee48eb88aee7.png)
③若a>b,c>d,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f50ce6b511e6b928796e048fc7fa5c.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288420f0b137ec90d963e6b5db65fe30.png)
A.①② | B.②③ | C.①④ | D.③④ |
您最近一年使用:0次
名校
7 . 十三世纪意大利数学家列昂纳多
斐波那契从兔子繁殖问题中发现了这样的一列数:1,1,2,3,5,8,13,
,即从第三项开始,每一项都等于它前两项的和.后人为了纪念他,就把这列数成为斐波那契数列.因以兔子繁殖为例子而引入,故又称该数列为“兔子数列”.关于斐波那契数列
给出以下四个结论:
①
是奇数;
②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636764cbb2ebce9f91a752b37610260f.png)
③
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a9af791240ee85837a02a0ffbb3135.png)
其中所有正确结论的序号为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee7bb49247387a9028602315729f8d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90707999e8fc89ae1137e5115c39f637.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636764cbb2ebce9f91a752b37610260f.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75e9270a7cdbc04065b2f7b2b3a8ecc.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a9af791240ee85837a02a0ffbb3135.png)
其中所有正确结论的序号为
您最近一年使用:0次
2016高二·全国·课后作业
8 . 已知
,有以下命题:①若
,则
;②若
,则
;③若
,则
.则正确命题的序号为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab473e96033d743fadef2b9f07f19b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa8950fa963eedb948d6a57871478cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f50ce6b511e6b928796e048fc7fa5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288420f0b137ec90d963e6b5db65fe30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d58ca7cd34b41603c0944906f29629.png)
您最近一年使用:0次
名校
解题方法
9 . 下列说法中,错误 的有______ (写出你认为错误的所有说法的序号)
①若
,
均为正数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca073cbcb823c28d3434100b59f57c38.png)
②若
,则
的最小值为2
③
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32df2a9a0d6b9d8fcbe19dfd032479b.png)
④若
,则
①若
![](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/ca073cbcb823c28d3434100b59f57c38.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4138f6987cd2ee9e56b2ac80e84f9e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea58a47278399e927f81bb8abc218.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32df2a9a0d6b9d8fcbe19dfd032479b.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a6f362a7f8f972d6b329a882e940d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e65acecaaa3d94827cd07109ada4e18.png)
您最近一年使用:0次
2020-08-14更新
|
615次组卷
|
5卷引用:四川省成都市2019-2020学年高一下学期期末(文科)数学试题
10 . 下列有关数列的说法正确的是( )
①数列
与数列
是同一数列;
②数列
的第
项是
;
③数列中的每一项都与它的序号有关.
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abeedb00753e7cf6d2631244ce112019.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d0ed56bf06b073546b1eba013ed7b4.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3179aafc2a53d170bc73c28a205101fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432851e0d0b7a2924da29b9cc5ca1706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06cec8b1cff9dbaa9c561f40147d68a6.png)
③数列中的每一项都与它的序号有关.
A.①② | B.②③ | C.①③ | D.①②③ |
您最近一年使用:0次