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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
正項數(shù)列
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是的前n項和為S
n,滿足
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⑴求數(shù)列

的通項公式;
⑵設(shè)
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本題滿分16分)
已知數(shù)列
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中,
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且點
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在直線

上。
(Ⅰ)求數(shù)列

的通項公式;
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(Ⅱ)若函數(shù)
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求函數(shù)
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的最小值;
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(Ⅲ)設(shè)
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表示數(shù)列
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的前
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項和。試問:是否存在關(guān)于
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的整式
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,使得
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對于一切不小于2的自然數(shù)
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恒成立? 若存在,寫出
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的解析式,并加以證明;若不存在,試說明理由。
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
數(shù)列
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的前
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項和記為
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,
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,點
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在直線
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上,
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.
(Ⅰ)當(dāng)實數(shù)
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為何值時,數(shù)列
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是等比數(shù)列?
(Ⅱ)在(Ⅰ)的結(jié)論下,設(shè)
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,

是數(shù)列
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的前
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項和,求
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的值.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知等差數(shù)列
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的前
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項和為
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,
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(1)求數(shù)列

的通項公式
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與前
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項和

;
(2)設(shè)
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求證:數(shù)列
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中任意不同的三項都不可能成為等比數(shù)列
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本小題滿分14分)已知曲線
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從C上一點Q
n(x
n,y
n)作x軸的垂線,交C
n于點P
n,再從點P
n作y軸的垂線,交C于點Q
n+1(x
n+1,y
n+1)。設(shè)x
1=1,a
n=x
n+1-x
n,b
n=y(tǒng)
n-y
n+1 ①求Q
1,Q
2的坐標(biāo) ;②求數(shù)列{a
n}的通項公式;

③記數(shù)列{a
n·b
n}的前n項和為S
n,求證:
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
公差不為零的等差數(shù)列
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中,
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,且
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、
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、
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成等比數(shù)列,則數(shù)列
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的公差等于 ( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
已知
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,
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、
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的等差中項等于
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,設(shè)
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,
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,則
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的最小值等于( )
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