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200920-


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2009 20-

1(2009 ) ABCD ADBCABBCAD=2BC=DC=5 P ( ) BC PA+PD APD AP 4 8 A 2 17 B C D3 17 17 17 17 17

2. 2009 ABCD ABC DCB EF P EF=3 ABCD C A9 B10.5 C12 C 8 3.2009 ABCD AD BC AD = 1 BC = 4 C = 70 B = 40 AB A2 B3 C4 D5 D15 4. 2009 () ABCD AD =5 AB = CD =7 B E A P D F

BC =13 CD L BC P PD
A ABPD A. 24 B.25 C. 26 D.27 D L

5. 2009 ABC BC=10B1 C1 ABAC B C P B1B 2C 1C 2 AB,AC D()

B1B 2?? B9 ; C1C 2 ?? C9 AB 10 B1C1 + B2 C 2 + ? + B9 C 9 AC
A. 30 B. 45 C.55 D.60

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6.(2009 ) ABCD AD BC ABC = 90 AB = BCE AB AE = AD DE AC H BH BCE = 15 ACD ACE CDE A B A H E B C D

S EH AH = 2 EDC = BE S EHC CH
D

C

7.2009 ABCD ABCDA=60B=30AD=CD=6, AB A9 B12 C18 D 6 + 3 3

8..2009 ABCD EFGH EFGH A B C D 9.2009 ABCD ABDCACBD O ɧ A2 C4 B B3 D5

102009 ABCD AD BC AC BD O AE BCDF BC E AD=a F BC=b AEFD A 3a + b C 2b + a A O B C D B 2( a + b) D 4a + b

E

F

112009 ABCD ADBCDCBC BD A

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DC A?A?BC20A?BD A15 B20 C 25 D30 A D



A
B C 12. 2009 ABCD AB//DC D=90 AD=DC=4 AB=1F AD F BC A.2 C.8 B.4 D.1
o

13.2009 2009 6 EFGH ABCD EFGH A B C D









14. (2009 ) 1 ABCD ADBC ACBD O ABC = DCB BCD = BDC S ?AOB =S ?DOC A. B. C. D. 1.2009 ABCD AD // BC AD = 1 BC = 4 C = 70 B = 40 AB 3 2.2009 ABCD ADBC, AD3cm, AB4cm, B60, BC cm . 3. (2009 )14 ABCD E A D E B 14 C OA=OD

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4.(2009 ) ABCD AD BC B = 60 AD = 4BC = 7 ABCD A D

B

C

52009 ABCD AB CD ABDACD
A O D

ADBC ABCD.

B 15

C

6.2009 4 ABCD ADBCABBCAD=2AB=3BC=4 ABCD 7. (2009 ) ABCD AD//BC BA CD 2009 ) PPEBCAD=2BC=5EF=3 PF=____________ P

A

8.(2009 B

F ) 14 ABCD DCAB

DACB AB10DC4tanA2______

9.2009 ABCD AD BC BC =4 AD = 4 2

\

B =45 45 E BC A CD F ABE CF

A

D F

B

E

C

10. 2009 ABCD BC B = 70 C = 40 DE AB AD A D

B BC E

E

C

AD = 3 BC = 10 CD



112009 ABCD AB CD ABDACD ABCD. ADBC
A O D

12.2009 ABCD ADBC, AD3cm, AB4cm, B 15 B60, BC cm . 1. 2009 ABCD ADBC,ABADDC,B60?. (1)ABAC (2) DC6, ABCD .

C

A

D

B

23

C

2. 2009 ABCD ADBCB= 90 ,C= 45 , AD=1,BC=4,E AB EFDC BC F, EF .

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3.2009 ABCD ADBCABC90 ADAB3 BC4 P B BC C Q D DA A Q AD AC M BC NPQ 1 Q A PQ Q t (1) NCMC ( t ) (2) t PCDQ (3) QN ABC t (4)t PMC 4.2009 ABCD ADBC ACBD O 1 A O B 2 C D

5. (2009 )21 4 ABCD ADBC AB=DC=8,B=60 BC=12, AC 1 tan ACB 2 M N ABDC MN MN A D

B 4

C

6.2009 ABCD C=60ADBC AD=DCEF ADDC DE=CFAFBE P 1AF=BE A P B 22 C F 2BPF D E

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7.2009 ABCD ABC=90ADBCAB=BCE AB CEBD 1 BE=AD

2

AC ED

3 DBC 8.2009 1 ABCD AD BC E AB E EF BC CD F AB = 4BC = 6 B = 60 . 1 E BC 2 P EF P PM EF BC M M MN AB ADC N PN EP = x . N AD 2 PMN PMN N DC 3 P PMN x .

A E

D F E

A P

N

D F E

A P

D N F

B 1 A

C

B M D 2

C B

M 3 D

C

25 A

F E F E 9. 2009 ABCD AD BC BCD = 90 CD = 2 ADtanABC = 2 D DE AB BCD E BE B C B C 1 BC = CD C 90 2 BCE 4 DCG 5 EG. CD EG. 3 BE CD P P CD A D

E B C

G

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10.2009 14 120 180 80 x 1 x 2 3 6 . 5.7 0.02

11.2009 9 ABCD ABCDBDADBC=CDA=60 CD=2cm. (1)CBD (2) AB .
D C

A

60 9

B

12 2009 ABCD E BC AE DE ABE DCE 13. 2009 9 ABCD ABCD BDAD BC=CD A=60CD=2cm. (1)CBD (2) AB .
D C

A

D

B

E

C

A

60 9

B

14. 2009 ABCD ADBC,ABADDC,B60?. (1)ABAC (2) DC6, ABCD .

\

A

D

B

23

C

1509 12 OABC OACBAB A 150B1012 PQ OB P 2 OA A Q 1 BC C P Q OBPQ D D DEOA AB E QE x Fڌ PQ t

1 t PABQ 2 t=2 OFBC 3 t PQF 16 ABCD AD BC AB = AD = DC AC AB 09 CB F BF = CD 1 ABC 2 CAF

D

A

C

B

F

17 2009 ABCD A x

D y AB y EBC x F OE = 1

y = ax 2 + bx ? 4 ADF
1 2Q DF Q x AD M BC

\

N SAFQM =

3 S FQN AFQM 2 3 DB P CB H AP PH AP = PH
y B F C O D A x E

182009 ABCD AD BCEF AB E DC 12 DE 2 BAD = 135 ADC = 120 0.1 2 = 1.413 = 1.73 A D E F B C

19.2009 ?ABC BC > AC D ?ABC A AD = BC DC AB DC E F EF AD BC M N

M
M D F (N) C H A B E
1

N D F C

C F N M D B E
3

A

E
2

B A

1 1 D BC N F AC H HE HF AMF = BNE 2 D 2 3 ֦AMF BNE ܧ

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202009 ABCD AD//BC,ABADDC,ACAB, CB F BFCD. (1)ABC (2)CAF D A

C

B

F

21.2009 9 ABCD AD BC AB = DC P ABCD PAPD BC EF PA = PD 1 ABE DCF 2 ABE DCF D A B

E

F

C

22 2009 ABCD ABDC ABBC A60 P AB2CDEF ABAD EFECBFCF AECD զ CD2 BCFE


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