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科目:高中数学
来源:不详
题型:解答题
(本小题满分12分)
已知
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,数列
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满足
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,
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,数列
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满足
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,
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.
(1)求证:数列
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为等比数列.
(2)令

,求证:
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;
(3)求证:

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科目:高中数学
来源:不详
题型:解答题
已知数列
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满足
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且
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(1) 证明:
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;
(2) 比较
an与
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的大小;
(3) 是否存在正实数
c,使得
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,对一切
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恒成立?若存在,则求出
c的取值范围;若不存在,说明理由.
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科目:高中数学
来源:不详
题型:解答题
(本题满分12分)
等差数列
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的各项均为正数,
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,前
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项和为
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,
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为等比数列,
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,且
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.
(1)求
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与
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;
(2)求数列

的前
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项和
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。
(3)若
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对任意正整数
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和任意
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恒成立,求实数

的取值范围.
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科目:高中数学
来源:不详
题型:单选题
若数列

满足
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,

,则此数列是
A.等差数列 | B.等比数列 |
C.既是等差数列又是等比数列 | D.既非等差数列又非等比数列 |
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科目:高中数学
来源:不详
题型:单选题
在等差数列
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中,已知
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,
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=4,则公差
d等于 ( )
A.1 B.
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C.- 2 D 3
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科目:高中数学
来源:不详
题型:单选题
数列
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中,已知
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,
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,
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,若对任意正整数

,有
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,且
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
,则该数列的前2010 项和
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( )
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