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科目:高中数学
来源:不详
题型:解答题
已知定义在
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上的函数
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和数列
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满足下列条件:
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,
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,当
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且
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时,
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且
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.
其中
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、
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均为非零常数.
(1)若数列
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是等差数列,求

的值;
(2)令
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
,若
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,求数列

的通项公式;
(3)试研究数列
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为等比数列的条件,并证明你的结论.
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科目:高中数学
来源:不详
题型:解答题
已知二次函数
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,不等式
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的解集有且只有一个元素,设数列

的前
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项和
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(1)求数列
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的通项公式;
(2)设
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,求数列

的前
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项和
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.
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科目:高中数学
来源:不详
题型:解答题
设函数
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在区间
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上的最小值为

令


.
(Ⅰ)求
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;
(Ⅱ)试求所有的正整数
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,使得
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为数列

中的项;
(Ⅲ)求证:
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科目:高中数学
来源:不详
题型:单选题
设等差数列{a
n}前n项和为S
n . 若a
1= -11,a
4+a
6=" -6" ,则当S
n取最小值时,n等于
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科目:高中数学
来源:不详
题型:单选题
设等差数列

的前n项和为
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,若
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, 则
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=
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( ).
A.18 | B.36 | C.45 | D.60 |
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