構(gòu)函法決數(shù)等問f

'

x)

f()fx)

f

'

x

f()

(x)

）f

'

)f(x)

[e

x

f(x)]

x

[f

'

)fx)]xf

'

))[xf()]

'

)f)）xf

'

)nfx)

[

n

f()]'

n

f

'

x)

n

fx)

n

[

'

x)nf)]x

）f()f(

[

f(x)f'()exexf(x))]'(ex)2xf'(x)()

[

f(xf'(x)(x)]2）xf

'

)(

[

f(xf'(f)'(x)(x)]'(xn)n

1.設(shè)fx),g()

Rf(x()

f(),g()

f'()g)f('(x

A.f)(b)fb)(af((aa)(b)f(a)a)f)g()Df()(af()a1''f()

是fxg)f(x)g'()

，g，求f(x已知為f(x)

f(

'()

f()x

，若a

11f(f(clnf(ln2)22

于b,c的大小關(guān)系正確的.ac.f()

在R上()'()

意R

e

Af(0)、f(2013)2013(0)Bf(1)、f(2013)(0)Cf(0)、(2013)

2013

(0)D.、f(2013)

2013

(0)x)

在(

2fxf'(

2

A.f(x)fx)C.f(x)xf))

R，(xf

f()

Af

'

x)

.(,f(x)x)

D.(ef(，當(dāng)xf

'

)f)

f(x)立

ABC.((D.(0,1)2f()

為Rf(意xR

f

'

)2

f(x)2xABC8f()

(0,

'

xf()

(x

'

(x)

f(

2

）A.(0,1)B.(1,.(1,2)D.(2,函數(shù)(x)足x

2f

(x)(x)

ef當(dāng)f()8

定義在)

f(x)f

'

)f(0)4

e

x

f()

x

為_定義在)滿足(1)，對任的xf

'

)

f(x

2

)

x22

f()

xf'(x)fx)

a,，

）Aaf(bbf(aBbf(a)afbCaf()f()Dbf(b)f()3f

'

x)

f(x)fx)

f

'

x

f()

'

x)

f'(x

f()

f'()

()f()

()

()

如m

'

(

)x

m(x

g(x

x)

g()

）f()f()

[ef(x)]x[f'()f(x)]xf

'

))[xf()]

'

)f)）xf)nfx)

[nf()]'n()fx)'()nf(x)]x）f()f(

[

f(x)f'()exexf(x))]'(ex)2xf

'

)f)[

f(xf'(x)(x)]24）xf

'

)(

[

f(xf'(f)'(x)(x)]'(xn)n

1.設(shè)fx),g()

Rf(x()

f(),g()

f'()g)f('(x

A.f)(b)fb)(af((aa)(b)f(a)a)f)g()Df()(af()af

'

xg)f(

'

f(x))

()xg(x

'

()

x

a，h(ah(b)

f()

是fxg)f(x)g'()

，g，求f(x)()析同題

'

)x)f(

'

x)

原函為f(xgx

構(gòu)新h)xg(x)

'

()

，h()

gh(，f(x)(已知為f(x)

f(

'()

f()x

若a

11f(f(f2)2

于a,的.Ccf

'

()

f()x

'

()(x

h(xxf)

h

'(x

fx)

(x)f(xxhx

'

()，當(dāng)，(x)f(x)x

')

因此hx(x

右數(shù)1(f(lnf()2f)

在()

'

(x)

意R恒成立，

Af(0)、f(2013)

2013

(0)B.f(1)(0)、f(2013)

2013

Cf(0)、(2013)2013(0)D.、f(2013)2013(0)5f

ex

h

f

e

0，f(1)f(0)f(2013)f(0),e11Rf

，2xf

2

R02f(x)xf

2

2xf

2

0

x

13

x[2f(x)xf

2

x

14

x

h

xf

2

，

x0

h0

為左h(0)，

14

x0

f(x)0的定R，且f

ln3x

1B.()2

C.(1,)ln3x

e

x

x

eln3

e

x

f(x)

x

3exx0R上h(0)(0,f

是R的導(dǎo)f(1)當(dāng)

xff(x)0

0成立

x

A.(,1)),(1,0)D.(0,1)(1,g(x)

xfxx2x0

g

0

Rf(1)0g(1)

f(1)1

06x(0,1)

(x)fx)當(dāng)x

gx)f)為()gx

故g(x)

當(dāng)x1,0)

，g(x)f(x當(dāng)x(1,，g()f(x)()((0,1)f()

為Rf(意x

'

)2

f(x)2xABCf)2xf()令x)(x)g

'

x)f

'

)以(x為R的g(f(4(8f()

(0,

'x

f()

(x(x

f(

2

）A.(0,1)B.(1,.(1,2)D.(2,f(

'

f(xf

'

)令g(xf(),g

'

xf(xf

'

x)

f(xx

2

2

f(x

2

g((x

2

xx

x2

x或函數(shù)f(x)

足x

2f

e(x)(x),f(2)8

x

7''x2f(x(x)

e

hx)x2f(

h'(x)

ex

h

e22

為x2f'(x)xfx)

ex)'(x)3

f(x

'(

設(shè)g)

x

(x)

g(x)x()x

exx()g(

在x

0gx)，則f(x)

f(x

定義在)滿足f(x)f

'

)f(0)4

e

x

f()

x

為_f()f

'

(x)

設(shè)(

x

f(x)

h

'

x)

x

[f)

'

x)]

x

f()

x

x

f)

x

數(shù)(x

x

fx)

x

gx)h'

x

()(x)

h'()

x

以g'(x)

，所以(0)f(0)，()且g，因(0,

定義在)x2f(x2)2

f(1)的xf'()

(x)

x2f()2

t

()

t

()f()

t'()f'()2

'

t

h