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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)
已知数列

.
(1)当

为何值时,数列

可以构成公差不为零的等差数列,并求其通项公式;
(2)若

,令

,求数列

的前

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
(本小题满分16分)已知在直角坐标系中,

,其中数列

都是递增数列。
(1)若

,判断直线

与

是否平行;
(2)若数列

都是正项等差数列,设四边形

的面积为

.
求证:

也是等差数列;
(3)若

,

,记直线

的斜率为

,数列

前8项依次递减,求满足条件的数列

的个数。
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科目:高中数学
来源:不详
题型:单选题
已知奇函数

的定义域为

,且是以2为周期的周期函数,数列

是首项为1,公差为1的等差数列,则

的值为 ( )
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科目:高中数学
来源:不详
题型:填空题
设等差数列

的前n项和为
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,若
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,

,则当
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取最小值时,n等于
.
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