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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216884494.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216915304.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216931396.png)
,若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216946988.png)
,
⑴證明數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216884494.png)
為等差數(shù)列,并求其通項公式;
⑵令
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216977640.png)
,①當
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216915304.png)
為何正整數(shù)值時,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216993532.png)
:②若對一切正整數(shù)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023216915304.png)
,總有
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023217024564.png)
,求
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824023217040346.png)
的取值范圍.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知函數(shù)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808048909.png)
同時滿足:①不等式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808079540.png)
的解集有且只有一個元素;②在定義域內(nèi)存在
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808095524.png)
,使得不等式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808110654.png)
成立 設(shè)數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808126456.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808141297.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808157649.png)
(1)求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808126456.png)
的通項公式;
(2)設(shè)各項均不為零的數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808329431.png)
中,所有滿足
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808344504.png)
的正整數(shù)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808360251.png)
的個數(shù)稱為這個數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808329431.png)
的變號數(shù),令
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808391571.png)
(
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808141297.png)
為正整數(shù)),求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022808329431.png)
的變號數(shù)
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022222960481.png)
前n項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022222975962.png)
成等差數(shù)列.
(I)求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022222960481.png)
的通項公式;
(II)數(shù)列滿足
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240222230061003.png)
,求證:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022223022966.png)
.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224511481.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224527297.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224543584.png)
,數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224558491.png)
是首項為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224574315.png)
,公差為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224605561.png)
的等差數(shù)列,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224621522.png)
成等比數(shù)列.
(Ⅰ)求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224511481.png)
與
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224558491.png)
的通項公式;
(Ⅱ)若
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240212246831101.png)
,求數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224699433.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224527297.png)
項和
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021224730375.png)
.
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
設(shè)等差數(shù)列{
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022501768348.png)
}的前n項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022501799328.png)
,已知
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022501815315.png)
=-2012,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022501830869.png)
=2,則
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022501846452.png)
=( )
A.-2013 | B.2013 | C.-2012 | D.2012 |
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
設(shè)等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924729456.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924745297.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924761388.png)
,且
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924776484.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924792541.png)
,則
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824021924807413.png)
( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
設(shè)等差數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406528480.png)
的前
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406544297.png)
項和為
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406559388.png)
,已知
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406575433.png)
,
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406591490.png)
,則數(shù)列
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406606478.png)
的公差
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824022406622321.png)
為 ( )
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