题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063738-21311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063738-79122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063739-42710.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063739-32863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063739-23500.png)
A.若 ![]() ![]() |
B.若数列 ![]() ![]() |
C.若数列 ![]() ![]() ![]() |
D.若对于任意的![]() ![]() ![]() |
答案
解析
对于B选项,若数列{Sn}有最大项,则d<0是正确的,若前n项和有最大项,则必有公差小于0;
对于选项C,若数列{Sn}是递增数列,则对任意n∈N*,均有Sn>0是错误的,因为递增数列若首项为负,则必有S1<0,故均有Sn>0不成立,
对于选项D,若对任意n∈N*,均有Sn>0,则数列{Sn}是递增数列,正确,这是因为若公差小于0,一定存在某个实数k,当n>k时,以后所有项均为负项,故不正确;
综上,选项C是错误的
故选C
核心考点
试题【设是公差为()的无穷等差数列的前项和,则下列命题错误的是( )A.若 ,则数列有最大项B.若数列 有最大项,则 C.若数列 是递增数列,则对于任意的,均有】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063729-67639.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063729-35548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063730-34580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063730-23629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063730-23720.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063730-19832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063731-49255.png)
A.18 | B.19 | C.29 | D.30 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063658-18043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063658-14495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063658-60434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063658-36129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063659-52315.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063659-86229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063659-15420.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063659-35773.png)
(I)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063700-55929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063700-61429.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063700-62265.png)
(II) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063710-40087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063711-75677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063711-69514.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063711-11051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063658-14495.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063620-93872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063621-48020.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063621-38850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063621-61969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063621-53039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063622-36419.png)
A.26 | B.13 | C.52 | D.156 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063530-45362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063530-67823.png)
(Ⅰ)求数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063530-45362.png)
(Ⅱ)求数列{|
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063530-22784.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063530-53256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063507-37482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063507-44391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063507-29557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063507-12319.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063508-19582.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063507-37482.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010063508-90193.png)
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