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設(shè)函數(shù)處的切線(xiàn)的斜率為k,若,則函數(shù)的圖象大致為       

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

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科目:高中數(shù)學(xué) 來(lái)源: 題型:

已知x=0是函數(shù)f(x)=(x2+ax+b)ex(x∈R)的一個(gè)極值點(diǎn),且函數(shù)f(x)的圖象在x=2處的切線(xiàn)的斜率為2e2
(Ⅰ)求函數(shù)f(x)的解析式并求單調(diào)區(qū)間.
(Ⅱ)設(shè)g(x)=
f′(x)ex
,其中x∈[-2,m],問(wèn):對(duì)于任意的m>-2,方程g(x)=(m-1)2在區(qū)間(-2,m)上是否存在實(shí)數(shù)根?若存在,請(qǐng)確定實(shí)數(shù)根的個(gè)數(shù).若不存在,請(qǐng)說(shuō)明理由.

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科目:高中數(shù)學(xué) 來(lái)源: 題型:

已知函數(shù)f(x)=ax+lnx(a∈R),
(Ⅰ)若a=-1,求曲線(xiàn)y=f(x)在x=
12
處的切線(xiàn)的斜率;
(Ⅱ)求f(x)的單調(diào)區(qū)間;
(Ⅲ)設(shè)g(x)=2x-2,若存在x1∈(0,+∞),對(duì)于任意x2∈[0,1],使f(x1)≥g(x2),求a的范圍.

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科目:高中數(shù)學(xué) 來(lái)源: 題型:

(本小題滿(mǎn)分12分)

設(shè)函數(shù)處的切線(xiàn)的斜率分別為0,-a.

(Ⅰ)求證: ;

(Ⅱ)若函數(shù)的遞增區(qū)間為[s,t],求|s-t|的取值范圍.

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科目:高中數(shù)學(xué) 來(lái)源: 題型:

(本小題滿(mǎn)分12分)

設(shè)函數(shù)處的切線(xiàn)的斜率分別為0,-a.

(Ⅰ)求證: ;

(Ⅱ)若函數(shù)的遞增區(qū)間為[s,t],求|s-t|的取值范圍.

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