已知{
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022635540348.png)
}是等差數(shù)列,a
4+a
6=6,其前5項和S
5=10,則其公差d=___________.
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科目:高中數(shù)學
來源:不詳
題型:解答題
已知等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721435481.png)
的前三項依次為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721435337.png)
、4、
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721451402.png)
,前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721466297.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721482388.png)
,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721513516.png)
.
(1)求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721435337.png)
及
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721575312.png)
的值;
(2)設(shè)數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721591491.png)
的通項
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721607629.png)
,證明數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721591491.png)
是等差數(shù)列,并求其前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721466297.png)
項和
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022721653373.png)
.
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科目:高中數(shù)學
來源:不詳
題型:解答題
設(shè)數(shù)列{a
n}的前n項和為S
n,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022242007701.png)
,n=1,2,3
(1)求a
1,a
2;
(2)求S
n與S
n﹣1(n≥2)的關(guān)系式,并證明數(shù)列{
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022242023413.png)
}是等差數(shù)列;
(3)求S
1•S
2•S
3 S
2011•S
2012的值.
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科目:高中數(shù)學
來源:不詳
題型:解答題
設(shè)等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605611481.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605626297.png)
項和
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605642388.png)
,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605657530.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605673570.png)
.
(1)求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605611481.png)
的通項公式;
(2)若數(shù)列滿足
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240216057041551.png)
,求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605751491.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605626297.png)
項和
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021605782373.png)
.
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科目:高中數(shù)學
來源:不詳
題型:單選題
等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023203546425.png)
中,已知前15項的和
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023203561499.png)
,則
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023203577326.png)
等于( )
A.![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023203593428.png) | B.12 | C.![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023203608387.png) | D.6 |
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科目:高中數(shù)學
來源:不詳
題型:填空題
設(shè)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541205893.png)
,將
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541220357.png)
個數(shù)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541236596.png)
依次放入編號為1,2,…,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541220357.png)
的
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541220357.png)
個位置,得到排列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541267687.png)
,將該排列中分別位于奇數(shù)與偶數(shù)位置的數(shù)取出,并按原順序依次放入對應的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541283467.png)
和后
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541283467.png)
個位置,得到排列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541314810.png)
,將此操作稱為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541330313.png)
變換,將
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541345315.png)
分成兩段,每段
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541283467.png)
個數(shù),并對每段作
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541330313.png)
變換,得到
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541392348.png)
;當
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541408542.png)
時,將
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541408330.png)
分成
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541423339.png)
段,每段
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541439491.png)
個數(shù),并對每段作
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541330313.png)
變換,得到
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541470376.png)
,例如,當
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541486465.png)
時,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541501830.png)
,此時,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541517322.png)
位于
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541392348.png)
中的第4個位置.當
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541548800.png)
時,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541564395.png)
位于
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022541564335.png)
中的第
個位置.
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科目:高中數(shù)學
來源:不詳
題型:單選題
設(shè)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022909060388.png)
是等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022909075474.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022909091297.png)
項和,若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022909106595.png)
,則
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022909122478.png)
( )
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科目:高中數(shù)學
來源:不詳
題型:單選題
在等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022453406480.png)
中,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240224534221052.png)
,則此數(shù)列前13項的和為 ( )
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