.關(guān)于
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的方程
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的兩實根為
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,若

,則

的取值范圍是( )
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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15分)已知二次函數(shù)

的圖象經(jīng)過點

,

是偶函數(shù),函數(shù)

的圖象與直線

相切,且切點位于第一象限
(Ⅰ)求函數(shù)

的解析式
(Ⅱ)若對一切

,

不等式

恒成立,求實數(shù)

的取值范圍
(Ⅲ)若關(guān)于
x的方程

有三個不同的實數(shù)解,求實數(shù)
k的值
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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)已知函數(shù)


(1)若不等式

的解集為

或

,求

的表達(dá)式;
(2)在(1)的條件下, 當(dāng)

時,

是單調(diào)函數(shù), 求實數(shù)
k的取值范圍;
(3)設(shè)

,


且
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為偶函數(shù), 判斷

+

能否大于零?
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科目:高中數(shù)學(xué)
來源:不詳
題型:填空題
半徑為r的圓的面積S(r)=??r2,周長C(r)=2??r,若將r看作(0,+∞)上的變量,則(??r2)'=2??r①,①式用語言可以敘述為:圓的面積函數(shù)的導(dǎo)數(shù)等于圓的周長函數(shù).對于半徑為R的球,若將R看作(0,+∞)上的變量,請寫出類比①的等式:______;上式用語言可以敘述為______.
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知二次函數(shù)

滿足關(guān)系

,試比較

與

的大小。
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
已知函數(shù)

,若存在實數(shù)

,當(dāng)

時,

恒成立,則實數(shù)

的最大值是( )
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知二次函數(shù)

為偶函數(shù),

函數(shù)

的圖象與直線

相切.
(1)求

的解析式;
(2)若函數(shù)

上是單調(diào)減函數(shù),那么:
①求

的取值范圍;
②是否存在區(qū)間

,使得

在區(qū)間

上的值域恰好為

?若存在,請求出區(qū)間[m,n];若不存在,請說明理由.
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科目:高中數(shù)學(xué)
來源:不詳
題型:單選題
函數(shù)

的圖像關(guān)于直線x=1對稱的充要條件是 ( )
A.m="-2" | B.m="2" | C.m="-1" | D.m=1 |
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科目:高中數(shù)學(xué)
來源:不詳
題型:解答題
已知二次函數(shù)

的圖像經(jīng)過點

,且點M在

軸的下方,
(1)求證:

的圖像與

軸交于不同的兩點;
(2)設(shè)

的圖像與
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軸交于點

,求證:

介于

之間。

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