如圖,畫一個邊長為4cm的正方形,再將這個正方形各邊的
中點相連得到第2個正方形,以此類推,這樣一共畫了5個
正方形,則這5個正方形的面積的和是
cm
2.
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科目:高中數(shù)學
來源:不詳
題型:解答題
(本小題共13分)
已知每項均是正整數(shù)的數(shù)列
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:
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,其中等于
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的項有
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個
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,
設
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,
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.
(Ⅰ)設數(shù)列
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,求
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;
(Ⅱ)若數(shù)列
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滿足
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,求函數(shù)
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的最小值.
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科目:高中數(shù)學
來源:不詳
題型:解答題
.(本小題滿分12分)
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已知數(shù)列
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的首項
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,前
n項和為
Sn,且
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.
(1)求數(shù)列
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的通項公式;
(2)設函數(shù)
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,
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是函數(shù)
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的導函數(shù),求
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.
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科目:高中數(shù)學
來源:不詳
題型:單選題
若等差數(shù)列
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的首項為
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公差為
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,前
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項的和為
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,則數(shù)列
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為等差數(shù)列,且通項為
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.類似地,請完成下列命題:若各項均為正數(shù)的等比數(shù)列
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的首項為
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,公比為
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,前
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項的積為
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,則 .
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科目:高中數(shù)學
來源:不詳
題型:填空題
對于大于1的自然數(shù)m的三次冪可用奇數(shù)進行以下方式的“分裂”:
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……仿此,若m
3的“分裂數(shù)”中有一個是59,則m的值為
。
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科目:高中數(shù)學
來源:不詳
題型:單選題
設等差數(shù)列
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的前
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項和為
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,已知
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,則當
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取最小值時,
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等于 ( )
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科目:高中數(shù)學
來源:不詳
題型:單選題
凸n邊形有f(n)條對角線,則凸n+1邊形有f(n+1)條對角線數(shù)為( )
A.f(n)+n-1 | B.f(n)+n |
C.f(n)+n+1 | D.f(n)+n-2 |
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科目:高中數(shù)學
來源:不詳
題型:單選題
已知等差數(shù)列
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的通項公式為
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, 則它的公差是
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科目:高中數(shù)學
來源:不詳
題型:單選題
若實數(shù)
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、
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、
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成等比數(shù)列,則函數(shù)
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與
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軸的交點的個數(shù)為( )
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1
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0
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無法確定
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