已知

為偶函數(shù),
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是奇函數(shù),且對任意

,都有
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且

,則

的大小關(guān)系是( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
(本小題12分)
已知

,
(1)判斷

的奇偶性并用定義證明;
(2)當(dāng)

時,總有

成立,求

的取值范圍.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
設(shè)定義在R上的奇函數(shù)

,且對任意實數(shù)

,恒有

,當(dāng)
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時,
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。
(1)求證:

是周期函數(shù)。 (2)當(dāng)

時求

的解析式。
(3)計算

……+

。
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
已知偶函數(shù)

在
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上為單調(diào)增函數(shù),則滿足

的
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取值范圍是
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
已知

是

上的偶函數(shù),且

,如果

在

上是減函數(shù),那么

在區(qū)間
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和
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上分別是 ( )
A.增函數(shù)和減函數(shù) | B.增函數(shù)和增函數(shù) | C.減函數(shù)和 減函數(shù) | D.減函數(shù)和增函數(shù) |
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
定義在
R上的函數(shù)

滿足


___________
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
在

上定義運算:

若不等式

對一切實數(shù)

恒成立,則實數(shù)

的取值范圍為 ( )
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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12分)
定義在R上的函數(shù)

滿足


,
當(dāng)
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時,
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且
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(1)求

的值. (2)比較

與

的大小
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