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設(shè)f(x)=
x3
3
,對(duì)任意實(shí)數(shù)t,記gt(x)=t
2
3
x-
2
3
t

(Ⅰ)求函數(shù)y=f(x)-g8(x)的單調(diào)區(qū)間;
(Ⅱ)求證:(。┊(dāng)x>0時(shí),f(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立;
(ⅱ)有且僅有一個(gè)正實(shí)數(shù)x0,使得g8(x0)≥gt(x0)對(duì)任意正實(shí)數(shù)t成立.

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設(shè)f(x)=
x3
3
,對(duì)任意實(shí)數(shù)t,記gt(x)=t
2
3
x-
2
3
t

(I)求函數(shù)y=f(x)-g8(x)的單調(diào)區(qū)間;
(II)求證:(。┊(dāng)x>0時(shí),f(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立;
(ⅱ)有且僅有一個(gè)正實(shí)數(shù)x0,使得g8(x0)≥gt(x0)對(duì)任意正實(shí)數(shù)t成立.

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設(shè)f(x)=,對(duì)任意實(shí)數(shù)t,記gt(x)=x-t.

(Ⅰ)求函數(shù)y=f(x)-g8(x)的單調(diào)區(qū)間;

(Ⅱ)求證:(1)當(dāng)x>0時(shí),f(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立;

(2)有且僅有一個(gè)正實(shí)數(shù)x0,使得g8(x0)≥gt(x0)對(duì)任意正實(shí)數(shù)t成立.

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設(shè)f(x)=,對(duì)任意實(shí)數(shù)t,記,
(Ⅰ)求函數(shù)y=f(x)-gt(x)的單調(diào)區(qū)間;
(Ⅱ)求證:
(。┊(dāng)x>0時(shí),f(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立;
(ⅱ)有且僅有一個(gè)正實(shí)數(shù)x0,使得gx(x0)≥gt(x0)對(duì)任意正實(shí)數(shù)t成立.

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設(shè),對(duì)任意實(shí)數(shù)t,記
(I)求函數(shù)y=f(x)-g8(x)的單調(diào)區(qū)間;
(II)求證:(ⅰ)當(dāng)x>0時(shí),f(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立;
(ⅱ)有且僅有一個(gè)正實(shí)數(shù)x,使得g8(x)≥gt(x)對(duì)任意正實(shí)數(shù)t成立.

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