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1.?2003?????3??2??f?x?=x?1????f?4x?=x???? ? x

11 D. 22

x?1}??M?P??? ?

D.{y|y?0} A.?2 B.2 ? C.?2.?2003?????4????M={y|y=2x}?P={y|y=A.{y|y>1}B.{y|y?1}

?C.{y|y>0} 3.?2003?????1????M={y|y=2x}?P={y|y= x?1}??M?P??? ?

A.{y|y>1}B.{y|y?1} C.{y|y>0}D.{y|y?0}

4.?2003?????8???f?x?=|x|?g?x?=x?2?x?????????? ?

A.????0]?????1]

C.?0?+?)?????1]B.????0]??1?+?) D.?0?+????1?+??

5.?2003?????4???f?x?=1?????? ? 1?x(1?x)

C.A.4 5 B.5 4 34 D.4 3

6.?2002????5??a?0?a?1???y=logax?????y=loga

???? ? 1??????x

A.x???B.y???

C.y=x??D.????

7.?2002???4??13???y=ax??0?1?????????????3??a??? ? A.1 2 B.2 C.4 D.1 4

8.?2002????9???0?x?y?a?1???? ?

A.loga?xy??0B.0?loga?xy??1

C.1?loga?xy??2 D.loga?xy??2

29.?2002???10??9???y=x+bx+c?x??0?+??????????????

? ?

A.b?0B.b?0C.b?0D.b?0

10.?2002????10???y=1?1????? ?

x?1

11.?2002????12??????f1?x??f2?x??f3?x??f4?x??????0?1?

x1?x21????????????????0?1?????x1?x2?f????f?x1?22

+f?x2????????? ?

12.?2002????12??????fi?x??i=1?2?3?4??????0?1?????????????????0?1?????x1?x2??????0?1??f??x1+?1???x2???f?x1?+?1???f?x2???????? ?

A.f1?x??f3?x?

C.f2?x??f3?x? B.f2?x? D.f4?x?

13.?2002????12??2002?3?5??????????????????2001?????????95933????????7.3%.???????2001??2005??????????????????????????????????????? ?

A.115000?? B.120000??

C.127000?? D.135000??

?14.?2002?????16??????????????????????????????21?????1?????12??????????.??2?????????12??????????.?????????????????????????????????? ?

?

?21

A.???????????

B.???????????

C.?????????????????????

D.?????????????????????

15.?2001?????4???y=??x?x?1??????? ?

A.y=x2?1??1?x?0?B.??x2?1?0?x?1?

?.??1?x2?x?0? D.??1?x2?0?x?1?

16.?2001?????7???f?x6??log2x???f?8???? ? A.4 3 B.8 C.18 D.1 2

17.?2001????2???f?x?=ax?a>0??a?1????????x?y??? ?

A.f?xy?=f?x?f?y? B.f?xy?=f?x?+f?y?

C.f?x+y?=f?x?f?y? D.f?x+y?=f?x?+f?y?

18.?2001???4?????????1?0?????f?x?=log2a?x?1???f?x??0??a??????? ?

A.?0?1? 2B.?0?1] 2

C.?1???? 2

?D.?0???? 19.?2001????6???y=2x?1?x?0??????? ?

A.y=log21?x??1?2? x?1B.y??1og21?x??1?2? x?1

C.y=log21?x??1?2] x?1 D.y??1og21?x??1?2] x?1

20.?2001???10??f?x??g?x????????????????

??f?x??????g?x???????f?x??g?x??????

??f?x??????g?x???????f?x??g?x??????

??f?x??????g?x???????f?x??g?x??????

??f?x??????g?x???????f?x??g?x?????.

?????????? ?

A.??B.??C.??D.??

?21.?2001???12???22????????????

????????????????.????????????

????????????????.????A???B???

??????????????????.??????????

?????? ?

A.26B.24

C.20D.19

22.?2000????????7???y??g?x?? ?

A.????????????0??????

B.????????????0??????

C.?????????0?????????

D.?????????0?????????

23.?2000????????14?????f?x??ax3?bx2?cx

?d?????23??? ?

A.b?????0?

B.b??0?1?

C.b??1?2?

D.b??2????

24.?2000????16??0?a?1?b??1????f?x??ax?b??????? ?

A.???? B.????

C.???? D.????

25.?2000???15????S??y?y?3x?x?R??T??y?y?x2?1?x?R???S?T?? ?

A.S B.T C.? D.???

26.?2000????1????A?B???????N???f?A?B???A????n?????B????2n?n?????f???20????? ?

A.2B.3 C.4D.5

27.?1999???2?????f?A?B??????A???3??2??1?1?2?3?4????B??????A??????f?????????a?A??B??????????a?????B???????? ?

A.4 B.5 C.6 D.7

28.?1999???3????y?f?x??????y?g?x??f?a??b?ab?0?? g?b???? ?

A.a B.a1 C.b D.b1

29.?1998??????13??0<a<1????y=loga?x+5???????? ?

A.???? B.???? C.???? D.???? ??

30.?1998???5???f?x?=1??x?0?????f1?x???? ? x

D.?A.x?x?0?B.1?x?0?C.?x?x?0? x1?x?0? x

31.?1998???2???y?a|x|?a?1?????? ?

32.?1998???11??10????H???????????.

?????V???h??????????24?????????

??? ?

?

33.?1997???2????607?0?76?log0?76??????? ?

??A.0?76?log0?76?607 B.0?76?607?log0?76

??C.log0?76?607?0?76 D.log0?76?0?76?607

34.?1997????7??y=2x???_____???????y=x?????????y=log2?x+1????? ?

A.???????1???B.???????1???

C.???????1???D.???????1???

35.?1997????7????y=f?x????????????y=f?x?1??y= f?1?x??????? ?

A.??y=0?? B.??x=0??

C.??y=1?? D.??x=1??

36.?1997???13?????????????????f?x????????? g?x?????0????????f?x????????a?b?0???????????????? ?

?f?b??f??a??g?a??g??b? ?f?b??f??a??g?a??g??b??f?a??f??b??g?b??g??a? ?f?a??f??b??g?b??g??a?

A.???B.???C.???D.???

37.?1996???15??f?x???????????????f?x+2?=?f?x???

?

???4?????????(?????)

??? ????

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1.?2003????2??M?m??????y=??? ?

A.

1

cosx?1??????????M+m3

422

B.? C.? D.?2 333

2.?2003????6??5??A?B?C??ABC???????A<B<C?C???????????? ?

?

2

??

A.sinA<sinC C.tanA<tanC B.cotA<cotC D.cosA<cosC

3.?2003????15????ycosx+2y?1=0??x?????

?2

??????y??

???1????????????? ?

A.?1?y?sinx+2y?3=0B.?y?1?sinx+2y?3=0 C.?y+1?sinx+2y+1=0 D.?(y+1)sinx+2y+1=0

4.?2003????16?????f?x?=sin2x?????????? ?

?f?x????? ??x>2003??f?x?>

2|x|1

?+????????????

23

31

??? ?f?x?????? ?f?x?22

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1

2

A.1 B.2C.3 D.4 5.?2002???????5????????sin2??0?cos??sin??0????? ? A.????B.???? C.????D.???? 6.?2002????14???ABC???2cosBsinA?sinC???ABC??????? ? A.??????? B.????? C.?????D.?????

7.?2002?????9???y=2sinx???????? ? A.?2k??

?2

?2k??

?2

??k?Z?

?

B.?2k??

23?

?2k????k?Z?

2

C.?2k????2k???k?Z? D.?2k??2k?????k?Z?

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??

?42

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5?? 4

B.?

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D.?

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9.?2002???11???f?x??????0?3??????f?x??????41????????f?x?cosx?0????? ?

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B.?1?

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2

???

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C.?0?1???

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10.?2002????3?????????????????????????????? ?

A.y=cos2x

C.y?(

?

2

????

B.y?2|sinx|

1cosx )3

D.y=?cotx

11.?2002???15???y=x+sin|x|?x?????????????? ?

12.?2002????8??

cot?

?1??cos2????? ?

2cos??1

C.

3A.5

3B.?

525

5

D.?

2 5

13.?2002????8??

cos2?cot?

?1?????? ?

2cos??11?sin2?

C.?2

D.?

A.3 B.?3

1

2

14.?2002???1???f?x?=

sin2x

???????? ?

cosx

A.

?2

B.? C.2? D.4?

15.?2001????????8??A?B????ABC????????P?cosB?sinA?sinB?cosA??? ?

A.???? B.???? C.???? D.???? 16.?2001????1??sin?cos??0????? ? A.??????B.?????? C.??????D.?????? 17.?2001????1?tan300+cot405???? ?

A.1?

B.1?

C.?1?

D.?1?

318.?2001???8??0?????

?

4

?sin??cos??a?sin??cos??b??? A.a?bB.a?bC.ab?1D.ab?2

19.?2001????6???y=cosx+1????x?0??????? ? A.y=?arccos?x?1??0?x?2? B.y=??arccos?x?1??0?x?2?C.y=arccos?x?1??0?x?2?D.y=?+arccos?x?1??0?x?2? 20.?2001????1???y=3sin?x2??

3

??????????? ? A.4??3

B.4???3

C.??3

D.???3

21.?2000??????10???y?

1

2?sinx?cosx

?????? ?

A.

2

?2

2

2

1B.

2?1 C.1?

2

D.?1?

22

22.?2000?????10???y?sinx?cosx?2?????? ? A.2?

2

B.2?

2

C.0 D.1

23.?2000???4???sin??sin????????????? ? A.????????????cos??cos? B.????????????tan??tan? C.????????????cos??cos? D.????????????tan??tan?

24.?2000???5???y??xcosx??????? ?

25.?2000????13???y?sin?x?

???2??x???2?2

???? ?

?

A.??? B.??? C.???D.???

26.?2000????????12????????????????????????????????? ? ???

A.tan?2tan??1C.cos??cos??1

B.sin??sin??D.

2

1

tan??+??2

<tan

???

2

27.?2000????12???42?OA???????O???????OA?????????????????????????????????? ?

A.arccos

1

321 2

B.arccos

1 2

C.arccos D.arccos

1 422 5

28.?2000????16????????????? ? A.??P?a?2a??a?0???????????sin?=

B.????sin?=

1?cos?=????????? 22

C.?|a|<1??tan(arcsina)???? D.??tan?x+

?3

?=

3????{x|x=k??k?Z}

29.?1999???4???f?x?=Msin??x??????0??????a?b????????f?a?=?M?f?b?=M????g?x?=Mcos??x?????a?b??? ?

A.????C.????????

B.????

D.????????m

30.?1999???11??sin??tan??cot???

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?

?

)???2

?? ?

A.??

??

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? 4

B.??

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?0? 4

C.?0? D.?

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?x?4?5cos?

2.?2013????7????????????????? ?

y?3sin??

A.?0?0???0??8?B.?0?0????8?0?

C.?0?0???0?8?D.?0?0???8?0?

3.?2012????3?????????F1?F2?P??????????????F1P

?Q???|PQ|?|PF2|?????Q????? ?

A.? B.?? C.?????? D.???

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y 23y 4

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x 23x 4

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y?sin??

???? ?

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1

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22

C.1 D.

2

?x?t2

8.?2012????6??P?1?0??????????t?R????????

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9.?2014???7?????????????F1?1?0??F2???0???????

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3 4

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10.?2015??????10??????y2=4x?????Q??P?a?0????|PQ|?|a|??a??????? ?

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3

4

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5

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8

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4 3

12.?2014???11?????y=ax2?a?0????F?????????P?Q??????PF?FQ?????p?q??

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???? ? pq

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15.?2015????14?x=?3y??????? ? A.???C.???????

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30.?2013???6??8????3x2?y2?3???????? ? A.y=3x

B.y?

1x 3

C.y?

x

D.y?

x 3

31.?2009???2?????x2?ky2?2?????y??????????k??????? ?

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x22

?y?1???????P?????????32.????8??F1?F2????4

?F1PF2?90???F1PF2????? ?

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33.????17??a?b?????????????a?b?????a?b ????????????? ? A.????????? B.???? C.??????? D.???????

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ab

????????P??????POF2????

???????

b2???_____.

36.?2013????4???y=x?1????y2=4x??????????_____.

37.?2012????2????????????F1??1?0??F2?5?0???????10???????? ?

x2y2?38.?2015????13??????1???????y?x?????4m2

?????? ?

39.?2014????16???????????????????? ????y??? ????x???

?????????1??????????6? ??????????5?

???????????????????????2?1?? ?????????y2?10x??? ??????????????

x2244.?2001???3??P?????y?1?????O??????M???OP

4

??????M?????? ?

45.?2001???5????x2?4y?3?0?????? ?

x2y2

??1??????F1?F2??P???????46.?2001???14????

916

PF1?PF2???P?x?????.

47.?2001????5??????????????3?0?????10?????????_____.

48.?2001????10???y=2x??_____.

?x?sin?1

???????????????2?y?cos2?

x2y2

??1????F1?49.?2000???14???F2??P?????????F1PF294

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68.?2012????18???82???F1?F2????2?2?1?a?0?b?0?

ab

?????F2????x??????????P???PF1F2?30?????????

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69.?2002??????22??????????F1??4?0??F2?4?0????F2

????x?????????????B??|F1B|?|F2B|?10?????????A?x1?y1??C?x2?y2??????|F2A|?|F2B|?|F2C|??????

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73.?2012???18????A??

???C?A?B????0??B?3?0?

?????????2??C??????y=x?2??D?E??????DE???

x2y2

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?????P?F1?F2???????????????|PF1|?|PF2|??

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???

|PF2|

76.?2011???20?????y2?2px?p?0?????F????F????????A?B????C??????????BC?x?.????AC????O.

y2

77.?2001????21?????C????x+=1??P?a?b??????a2+

2

2

b2

?1???P???l?????A?B????Q???AB?????? 2

?1??Q??????

?2??Q?????????????.

79.?2010??????84???A?F?????

(y?1)2(x?1)2

??1?????????????x??????1612

???T?t?0??F??????OA?Q??? ?1??A?F??????TQ????

?2??OTQ???S?t??????S=f?t??????????

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82.?2013????22???87?????ABCD?|AB|?2|CD|??E?????

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