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2015-2016年张家口市宣化县九年级上期末数学试卷含答案解析


2015-2016
14 1-5 2 6-14 2 37 1O 5 P O 6 P O A P O B P O C P O D 2
A B C D1
3 y=x22+3 A23 B23 C23 D23 4 A B" " C" " D" 6 "" 6"
5 x2+2x+a=0 a Aa1 Ba4 Ca1 Da1 6 ABC AB=ACABC=70 O ABC BOC
[
A40 B60 C70 D80

7 x26x4=0 Ax62=4+36 Bx62=4+36 Cx32=4+9 Dx32=4+9 8 ABCD OAB O EC O CECB=35 D
A145 B125 C90 D80 9 ABO O 90 ABO A
A31 B32 C23 D13 10 y=x2+bx+c x2+bx+c=0
Ax=1 Bx1=1x2=1 Cx1=1x2=2 Dx1=1x2=3 11 y=ax2+bx+c
A B1x2 y0

Ca+b+c0 D x y x 12AB O CD AB E E OB CDB=30CD=4
A B4 C D 13 21 x Ax2=21 B xx1=21 C x2=21 Dxx1=21 14 y=2x24x+8 AB=4DE=3 CE=

A17 B11 C8 D7

5 3 15

15 ABC a=3b=4c=5



16 ABCD O ACADBCAD

BAE=3CAD BACEADAC=2CD



17 x x2+mx+n=0 x1=2x2=4

m+n=



18 A

A AB D CDAB C CD=15cmAB=60cm



cm

19 AB 1444 y=axm2+n AB

x CD C D C 3 D





7 68 20 1x26x6=0 22x27x+6=0
21 ABC AB=AC=2BAC=45 AEF ABC A BECF D 1BE=CF 2 ABDF CD

22 B 2 2 OB O 120 B B 1 B O B1

B1



2 7







x

yxy

3xy



23 x kx2+3k+1x+3=0 1 k 2 y=kx2+3k+1 x+3 x k
3 Pay1Q2y22 y1y2 a

24 ABC AOBC OO AC DBEAB AC EO GF 1AB O 2 AB=4 GF

25 20 /

90 y x/



x/...

50

60

70

80

...

y ...

100

90

80

70

...

1 y x

2 4000

3 w

26 ABC AO=2OC=1

ACB=90

1 B



2 ly=ax2ax2 B l

3 ABC C 90 A A1 l 4 x l P ACBP

P

2015-2016


14 1-5 2 6-14 2 37 1O 5 P O 6 P O A P O B P O C P O D O 5 P O 6 P O P O C 3 O r P OP=d P dr P d=r P dr
2
A B C D1
123
C n A m A PA=
3 y=x22+3 A23 B23 C23 D23 y=x22+3 23

C y=axh2+kh k x=h
4 A B"" C" "
D" 6 ""
6"
A B"" C" """

D" 6 ""
6"
C
5 x2+2x+a=0 a Aa1 Ba4 Ca1 Da1 x2+2x+a=0 0 a a x =b24ac=44a0 a1 C ax2+bx+c=0a0abc 0 =0 0
6 ABC AB=ACABC=70 O ABC BOC

A40 B60 C70 D80 A O=2A AB=AC ABC=ACB=70 A=180702=40 O ABC BOC=402=80 D
7 x26x4=0 Ax62=4+36 Bx62=4+36 Cx32=4+9 Dx32=4+9 - x26x4=0 x26x=4 x32=4+9 D 1
8 ABCD OAB O EC O CECB=35 D
A145 B125 C90 D80 BD AB O ADB=90 EC O CECB=35 BDC=35D

BD AB O ADB=90 EC O ECB=35 BDC=35 D=ADB+BDC=90+35=125 B
9 ABO O 90 ABO A
A31 B32 C23 D13 - AB AB O A A13 D
10 y=x2+bx+c x2+bx+c=0

Ax=1 Bx1=1x2=1 Cx1=1x2=2 Dx1=1x2=3 x x 1 x=1 x x x2+bx+c=0 y=x2+bx+c x 10 x=1 x 30 2x24x+m=0 x1=1x2=3 D x2+bx+c=0 y=x2+bx+c x
11 y=ax2+bx+c
A B1x2 y0 Ca+b+c0 D x y x
AB1x2 C x=1 a+b+c D y x A B1x2 y0 C x=1 y0 a+b+c0 D y x B
12AB O CD AB E E OB CDB=30CD=4

A B4 C D

OE= OC= OB OECBED S =S OCB
COB=2CDB=60 CDAB OCE=30CE=DE OE= OC= OB=2 OC=4

S =

=

D OECBED S =S OCB

13 21 x
Ax2=21 B xx1=21 C x2=21 Dxx1=21



x =



x x1
xx1=21

B

14 y=2x24x+8 AB=4DE=3 CE=

A17 B11 C8 D7 y=2x24x+8 D 16 AB=4 B x=3 y=2x24x+8 y=14 CD=146=8 DE=3 y=2x24x+8=2x12+6 D 16 AB=4 B x=3 x=3 y=2x24x+8 y=14 CD=146=8 CE=CD+DE=8+3=11 B D B
5 3 15 15 ABC a=3b=4c=5 1 ACB ABC AC E AB F BC D OEOFODOAOCOB R OE=OF=OD=R S ACB=S AOC+S AOB+S BOC

a=3b=4c=5 a2+b2=c2 ACB=90 ABC AC E AB F BC D OEOFODOAOCOB R OE=OF=OD=R S ACB=S AOC+S AOB+S BOC ACBC= AC0E+ ABOF+ BCOD
34=4R+5R+3R

R=1 1 R
16 ABCD O ACADBCAD BAE=3CAD BACEADAC=2CD

BCD ADC BCD+ADC=180 BCAD BAE CAD BAE=3CAD AB=CBAE=DEAC=AD BACEAD """" BCD=18072=108E=108
ADE= 180108=36

ADC=10836=72 BCD+ADC=108+72=180 BCAD

BAE=108CAD=

=36

BAE=3CAD

BAC EAD



BACEADSSS AB+BCAC 2CDAC

17 x x2+mx+n=0 x1=2x2=4 m+n= 10
2+4=m24=n x x2+mx+n=0 x1=2x2=4 2+4=m24=n m=2n=8 m+n=10

10 2+4=m24=n
18 A A AB D CDAB C CD=15cmAB=60cm 37.5 cm
AD=30cm O OA OC CD=15cmAB=60cm CDAB OCAB AD= AB=30cm rcm OD=r15cm r2=r152+302 r=37.5 37.5cm 37.5

19 AB 1444 y=axm2+n AB x CD C D C 3 D 8

- C A14 CD D B44 CD D C 3 A14 x=1 D 5 CD=8 B44 x=4 CD=8 C00D80 D D 8 8

7 68
20 1x26x6=0 22x27x+6=0
-- 1 b24ac
2 1x 26x6=0 b24ac=62416=60

x=



x1=3+ x2=3

22x27x+6=0 2x3x2=0 2x3=0x2=0
x1= x2=2


21 ABC AB=AC=2BAC=45 AEF ABC A BECF D 1BE=CF 2 ABDF CD

1 AE=AF=AB=AC=2EAF=BAC=45"SAS" ABEACF 2 DF=AF=2DFAB1=BAC=45 ACF CF= AF=2 CFDF 1AEF ABC A AE=AF=AB=AC=2EAF=BAC=45 BAC+3=EAF+3BAE=CAF ABE ACF

ABEACF BE=CF 2 ABDF DF=AF=2DFAB 1=BAC=45 ACF CF= AF=2 CD=CFDF=2 2

22 B 2 2 OB O 120 B B 1 B O B1
B1 04

2 7







x

yxy

3xy



- 1 OB B O B1 BOH=30 OB O 120 B B1 y
B1

2 12 3xy

2

1 BHx H B 2 2 BH=2OH=2

OB=

=4

B O B1 =

=

B1 04 2

12 3xy 2 xy = = 04
23 x kx2+3k+1x+3=0 1 k 2 y=kx2+3k+1x+3 x k 3 Pay1Q2y22 y1y2 a

x 1 k=0 k0 =3k12 0 k0 2 kx2+3k+1x+3=0k0 x1= x2=3 y=kx2+
3k+1x+3 x 3
k 3 Q2y2 y2 Q 2 1 k=0 x+3=0 x=3 k0 =3k+124k3=3k12 3k120 0 k0 k
2kx2+3k+1x+3=0k0 kx+1x+3=0
x1= x2=3
y=kx2+3k+1x+3 x 3
k
k=1 y=x22x+3

3 Q2y2 y=x22x+3 y2=5 Q 45 4a2 y1y2 x ax2+bx+c=0a0 =b2 4ac
24 ABC AOBC OO AC DBEAB AC EO GF 1AB O 2 AB=4 GF
1 O OMAB M OM OD 2 O ONBE N OF NG=NF= GF OMBN
OBM OM BM BN ON ONF NF GF 1 O OMAB M 1 O AC D ODAC ADO=AMO=90 ABC DAO=NAO OM=OD AB O 2 O ONBE N OF2 NG=NF= GF

O BC OB=2 OBM MBO=60 OM=OBsin60= BM=OBcos60=1 BEAB OMBN ON=BM=1BN=OM= OF=OM=

NF=

=

GF=2NF=2



25 20 /

90 y x/



x/...

50

60

70

80

...

y ...

100

90

80

70

...

1 y x

2 4000

3 w



1 y x y x



2 4000

3 w= w x



1 y x y=kx+bk0







y x y=x+150

2 x+150x20=4000 x1=70x2=10090 4000 70

3w x w=x+150x20 =x2+170x3000 =x852+4225 10 x=85 w w 4225 85 w 4225


26 ABC AO=2OC=1 ACB=90 1 B 31 2 ly=ax2ax2 B l 3 ABC C 90 A A1 l 4 x l P ACBP P

1 B B BDx D BDCCOA BD=OC=1CD=OA=2 B 2 B l 3 A1 x A1 4 P 1 1 B BDx D BCD+ACO=90AC0+OAC=90

BCD=CAO BDC=COA=90CB=AC BDC COA

BDCCOAAAS BD=OC=1CD=OA=2 B 31 2 y=ax2ax2 B31 1=9a3a2 a=
y= x2 x2
3 1 A1 A1Mx ABC C 90 ABC=A1BC=90 A1BC BDC A1CM
BDC A1CM CM=CD=31=2A1M=BD=1 OM=1 A111 x=1 y= x2 x2
y=1 A1

4 Pt t2 t2
A02 C10 B31 P C





P A





P B





t=2 t2 t2=1

P21



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