如图abcdef相交于点o,EF丄AB0，G为<coF的平分线,OH为<DO的平分线

(1)ρ(x,a)=|e^x-a|-a|x-lna|=(a-e^x)-a(lna-x)(x<lna)

=(e^x-a)-a(x-lna)(x>lna)

当x<lna时，f'(x)=-e^x+a>0;当x>lna时，f'(x)=e^x-a>0

所以f(x)在R上单调递增

而f(lna)=0

所以f(x)在R上只有1个零点

(2)F(x)=|e^x-a|-a|x-lna|-|e^x-b|+b|x-lnb|

=(a-e^x)-a(lna-x)-(b-e^x)+b(lnb-x)=(a-b)x+a-alna-b+blnb(x<lna)

=(e^x-a)-a(x-lna)-(b-e^x)+b(lnb-x)=2e^x-(a+b)x-a-b+alna+blnb(lna<x<lnb)

=(e^x-a)-a(x-lna)-(e^x-b)+b(x-lnb)=(b-a)x-a+alna+b-blnb(x>lnb)

当x<lna时，F'(x)=a-b<0

当lna<x<lnb时，F'(x)=2e^x-(a+b)

在此情况下，当lna<x<ln[(a+b)/2]时，F'(x)<0;当ln[(a+b)/2]<x<lnb时，F'(x)>0

当x>lnb时，F'(x)=b-a>0

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也许就是对你

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I love you

无法不爱你 Baby

说你也爱我

I love you

永远不愿意 Baby 失去你

不可能更快乐

只要能在一起

做什么都可以

虽然世界变个不停

用最真诚的心

让爱变得简单

爱的地暗天黑 都已无所谓

是是非非无法抉择

没有后悔 为爱日夜去跟随

那个疯狂的人是我

I love you

一直在这里 Baby

一直在爱你

I love you

Oh yes I do

永远都不放弃

这爱你的权利

如果你还有一些困惑 Oh no

请贴着我的心倾听

听我说着 爱你

Yes I do

Come on now

One more time

I love you

Oh yes I do

一直在这里 Baby oh yeah

一直在爱你

I love you

永远都不放弃

这爱你的权利

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