2019屆高三數(shù)學(xué)(理)大一輪復(fù)習(xí)課時作業(yè)：課時作業(yè)6函數(shù)的奇偶性與周期性

6

1f(x)lg|sinx|

(

)

2

2

{x|xkZ}f(x)lg|sin(x)|

lg|sinx|lg|sinx|f(x)f(x)y|sinx|

f(x)lg|sinx|

C

A

y

2y3lx|

(

0)

()

B.ylog|x|

2

C.y1x2

D.yx3

1

y3

|x|

(

0)B

C

C

3.(2019

)

f(x)xsinxUf(x)()

f(x)f(x)1cosx0f(x)

B.

B

fXfx

21

4.Rf(x)

XX

1,2

[0)(x

X)<0

2

X

2

X

1

f(3)<f(2)<f(1)

f(1)<f(2)<f(3)

f(2)<f⑴<f(3)

f(3)<f(1)<f(2)

f(x)f(2)f(2)x[0)f(x)

3>2>1f(3)<f(2)<f(1)f(3)<f(2)<f(1)A.

A

5.f(x)R

[0)f(lgx)<0x

()

A(01)B(110)

C.(1D.(10

m

f(x)Rf(0)0f(lgx)<0f(0)lgx<00<x<1

A.

A

6f(x)Rg(x)Rg(x)f(x1)f(2)2f(2014)()

A2B0

C.2D.2

Tg(x)f(x1),???—g(x)f(x1)g(x)f(x1)f(x1)f(x1)

f(x2)f(x)f(x4)f(x2)f(x)f(x)4f(2014)f(2)2.

A

7.f(x)Rx>0f(x)=&1x<0f(x)

f(x)x>0f(x)x1x<0x>0f(x)f(x)(,x1)

x<0f(x)(x1)x1.

x1

8.__________________________________________________f(x)x2

a

|xa|

1

T

f(x)f(x)x

|xa||xa|xax0xa

0.

2f(1)f(1)|a1||a1|a0.

0

9.(2019

)

0f(x)

Rf(x)f(x)f(x)

f(x2)0xf(x)2x

1f

f(x)2

f

1

f(1)

1

10

f(0)22121212.

2

10f(x)R2

［1

1］

f(x)

11x<0

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3

a3b

10x1

22

f(x)R2

f

^2

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f

2

f(1)

=

f(1)

b

+

2

1

f(1)fIf(2)f

13a2b2.

2

+

1

1

f(1)f(1)a1~2~b2a.a2b4a3b10.

10

f

1

2

f(0)f

x2

2xx>0

11.f(x)0x0

xmx,x<0

(1)m

(2)f(x)

［

1a2］

a

(

1)x<0x>0

f(x)(x)2(x)x2x.

^

f(x)f(X)

f(x)x<0f(x)x2

2xx2

mxm=2.

⑵

(1)f(x)

［

11］

f(x)［

1a2］

a

2

a2

1

>1

f(x)1<a3a(13]

12.f(x)

(1)f()

(

)f(x2)f(x)0x1f(x)x.

⑵

4xf(x)x

⑶(

)f(x)

(

1)f(x2)f(x)

f(x4)f[(x2)2]f(x2)f(x)

???f(x)

4

?f(

)f(14)

f(4)f(4)

(4)4.

⑵

f(x)f(x2)f(x)

f[(x1)2]f(x1)f[(x1)]f(1x)f(1x)

yf(x)x1

0xf(x)xf(x)f(x)

4xf(x)xS,

⑶f(x)

S4S

OAI

3](k€Z)

［4k14k1］(kZ)

［4k14k

1f(x)(xR)g(x)(xR)

()

2

Af(g(x))

.

D

.

g(f(x))

(f(x))

(g(x))

f(x)g(x)f(x)f(x)g(x)g(x)f(g(x))

f(g(x))g(f(x))g(f(x))g(f(x))f(f(x))f(f(x))f(f(x))g(g(x))g(g(x))f(f(x))C.

C

x2

2xx0

2f(x)

f(a)f(a)2f(1)Ua

()

x2xx<0.

A[10)B[01]

C.[11]D.[22]

f(x)f(a)f(a)f(a)f(1)

f(|a|)f(1)[0)|a|11a1C.

C

3f(x)Rxf(x1)f(x1)2f(x)

x[01]f(x)

f(x)(12)(23)

f(x)10

x(34)f(x)

f(x2)f(x)f(x)2

1x0x1f(x)f(x)+X,yf(x)

3

-\o1

2a4J5X

<x<41<x4<0f(x)f(x4)f

Rf(x)abRf(ab)f(a)f(b)k(k(1)kf(x)

)

⑵k1,f(x)Rf(4)5f(mx2m

2m3)>3x

⑴

f(x)Rf(0)0ab0f(00)f(0)f(0)kk0.ab0f(ab)f(a)f(b)f(00)f(0)f(0)f(0)0.

axbxf(xx)f(x)f(x)f(0)00f(x)f(x)f(x)f(x)