Sinflar uchun imtihon javoblari
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9-sinf matematika imtihon javoblari
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9- SINFLAR UCHUN IMTIHON JAVOBLARI
MATEMATIKA
1-bilet 1 . Hisoblang: (1,4-3,5:1
):1,4+3,4:2
1,4:1,4-
2 . a+10 S=1200 Yechish:
a
P-? 1). a*(a+10)=1200 A.S. a>0
2). a=30 bo’lsa, P ni toppish kerak: P=2*(a+a+10)=2*(30+30+10)=2*70=140
3. ct
(
)
4. Romb parallelogramning tomonlari teng bo’lgan xususiy xolidir. Rombning tomonlari teng va qarama-qarshi tomonlari parallel. Qarama-qarshi burchaklari esa o’zaro teng. Diagonallari bir vaqtning o’zida burchak bissektrissasi ham bo’ladi, hamda perpendikulyar kesishadi. 5. P=55sm bo’lsa , tomonlarini topish kerak:
4a 4a Yechish: 1) P=4a+4a+3a=11a=55
a= 55:11=5
3a 2) 4a=4*5=20 4a=4*5=20 3a=3*5=15
2-Bilet 1.
Hisoblang:
( )
.
2.
x=10, 2-brigada sarflaydigan vaqt: x+5=15. 3. tga-ctga= p bo’lsa,
( )(
(( ) ) (
)
4. Bir burchagi to’g’ri qolgan ikki burchagi esa o’tkir bo’lgan uchburchak to’g’ri burchakli uchburchak deyiladi. Uning ikkita kichik tomonlari katetlar, qolgan tomoni esa gipotenuza deyiladi. Asosiy formulalari: √ ;
; c=a’+b’ a’ c a b’
b 5. P=2*(x+x+5)=2*(2x+5)=4x+10=38 4x=28 x=7
3-Bilet 1.
Soddalashtiring: ( √ √ √ ) √
√ (√ √ √ ) √ √ √ √ - √ √ √ √ 2.
t=
) ( ) 3. (
) ( )
(
) (
)
4. Kosinuslar teoremasi :
A b
c 5. A E C Yechish:
AE=AB=4,5sm ; EC=5,5sm B
D S=AB*(AE+EC)=4,5*(4,5+5,5)= 4,5*10=45
h
S-?
4-Bilet 1.
-6
( )
-6*(-200+198)
=-24 2.
3. Hisoblang.
sin
(
)
=
4.
Uchburchakka ichki chizilgan aylanaga uchburchakning tomonlari urinma bo’ladi. Aylana radiuslari mos tomonlarga perpendikular bo’ladi. Ichki chizilgan aylana markazi uchburchak burchaklarining bissektrissalari kesishish nuqtalarida joylashadi. Radiusni toppish formulasi : R=
; bu yerda ,,S” uchburchak yuzi, ,,p” esa yarim perimeteri. 5. A 14 B AK=BL=H; CK=LD=
5 5 Yechish; 1) H=√
√ C K 20 L D S=
5-Bilet 1.
Hisoblang: √
=√ ( )(
)
√( )
.
2.
J: Kesishadi 3.
=3 ifodaning sur’at va mxrajini cosx ga bo’lamiz.
2tgx-1=6+3tgx tgx=-7 S-?
4. Doira deb bir nuqtadan malum masofagacha bo’lgan nuqtalar jamlanmasiga aytiladi. Doira yuzi formulasi: S=п
.
5. Yechish:
X x+15 2x=x+15 x=15 C=x+15=30
6-Bilet 1.
√
√ √
√ √
=322 2.
3.
( ) 4.
Burchaklari , mos tomonlari nisbatlari teng bo’lgan uchburchaklar o’xshash uchburchaklar deyiladi. O’xshashlik koeffitsiyenti ,,k” kabi belgilanadi. K=
;
5. S
=a*
a=9, b=6 P=2*(a+b)=2*(6+9)=2*15=30
7-Bilet 1.
( ) 2. | | 1) 6-3x-18<0 x>-4 2) 6-3x+18>0 x<8 x ( ) 3.
4. Pifagor formulasi :
Isboti : kosinuslar teoremasi :
Cos90
5. ( ) ( )
8-Bilet 1. √
√
√
√
2. -4
1.3x 9 x x>1
2+3=5 3.
( ) ( )
4.
( )
5. h=8, a=12, R-? C C c √
√
R=
a 9-Bilet 1. (
)
(
)
2.
3. B BD=20, AB=25, BC=52, AD=63
A C D 4.
Diogonallari kesishish nuqtasida teng ikkiga bo’linadi. 5.
R=
√ ( )( )( ) =√ R=
h
10-Bilet 1.
(
)
( )
2.
x+
x<0 Max(x) =-1 3.
[ ] √ ( )
√ √ ( )
4.
bo’ladi.
5. B C BC=10 AD=16 H=
A D S= ( )
( ) .
11-Bilet
1 .soddalashtiring: (
( ) )
( )
( )( ) ( )
( )( ) ( )
2. |
| 1)
2)
3.
26 Uchburchakda tomonlari 24;10;26 bo’ladi. 10 Bunda sina=
Bundan sin2a= 2*sina*cosa=-
4.
5. a=7 b=8 c=10 bo’lsa, cosj-? Cosj=
12-Bilet 1. soddalashtiring: √ √
√
√ √
2. y=| | 2
( ) va cos(180-a) -? ( ) cos(180-a)=-cosa=-(-0,8)=0,8 4.
h=5 asos=10√ S=
13-Bilet 1. Hisoblang:
=1 2.
d=5 2
3. (
)
=3-3tg
4.
AK=6; BK=9
14=Bilet 1.
(
) ( )( )
( )
√
4. Uchburchakka tashqi chizilgan aylana radiusi : R=
5 . ( ) ( )
( ) ( )
15-Bilet
1. 3b32566 :9 b=2 2.
3. sin(a+b)=sin(180-j)=sinj 4. urinma aylana bilan o’zaro 1 ta umumiy nuqtaga , kesuvchi esa 2 ta nuqtaga ega bo’ladi. 5. 2x+3x+4x=54 9x=54 x=6 2x=12 3x=18 4x=24 16-Bilet 1.
( )
( ) 2.
q= S= ( )
3.
( ) ( )
4.
Chakning tomoniga ikkinchi uchburchakning tomonlariga nisbati teng bo’lsa bu uchburchak- Lar o’xshash deyiladi.
5. A C Yechish:
AE=3 BE=36 CE:DE=3:4 S 3x*4x=12
CE=9 DE=12 D B 17-Bilet 1. 1,8x=54 x=30 2.
3.
( ) ( ) ( ) 4.
a 5. ( )
( )
r=1 E h
18-Bilet 1.
25*
2.
3.
( ) ( )
( )
4.
5. A B
C D 1.
a+3,2=3,6 a=0,4 2. ( )
x=13 X+8=21 [A.S. X>0] 3
A<0
4.
( )
Skalyar ko’paytma; A(
) (
)
5.
AC=14 AB=28 BC=AC* √ √
√ √
A
C B 20-Bilet 1.
x=51 2x=102 6x=306 6x-x=5x=255 H b
2. (
)
x
3.
√ √
x
4.
5. √
a=2b=6 h=3 S= ( )
21-Bilet 1. A*
2.
2x-3+6x=4x-2-12+3x x=-11 3. ( ) ( )
4.
5.
S=
√
√
Cosinuslar teoremasidan c=3 √
√ √
22-Bilet 1.
S=120
T=S/(
)
2.
( ) ( )
p=-8 q=7 3. .
tg(
)
√ 4.
–
5.
2x=12 3x=18
√
23-Bilet 1. a+a+2+a+4=81 3a=75 a=25 25;27;29
2.
x=1 3.
√
√ 4.
( )
5. ( √ ) ( √ )
√ √ √ √
√
√
a=60
24-Bilet 1. 2*(a+2+a-1)-(a+1-a)=45 4a=44 a=11 2.
(
)
— 3.
4.
5.
25-Bilet 1.
2. √
x=1
4.
√
√
5. a+b=45 26-Bilet 1. √
2.
x=2 3. ( ) 4.
5. A B s=12 √
√
AC=2 √ C D 27-Bilet 1.
( )( ) ( )( )
( ) 2x+5=3,1 x=1,55 3. ( ) 4.
5. x=4 P=5x=20.
28-Bilet 1.
( )( ) =
2.
m=3*(-2+1)= 3 3. ( ) (
)
4.
A C AO*OB=DO*OC
D B 5. A
L
O O O
C B
K
29-BIlet 1.
( )
( ) ( ) ( )( ) 2.
(
)
-12=4-2x x=8 3. sinα=-0,75 ( )
Sin(a-b)= ( ) √
*
√
4.
Chi uchburchak tomonlariga nisbati mos ravishda teng bo’lsa, bunday uchburchaklar o’xshash uchburchaklar deyiladi. 5.
( )
y=5
3 3
30-Bilet 1.
( )
( )
2.
( ) ( ) x
3.
4.
5.
√
31-Bilet 1. √
√( )( ) ( )
√
2.
x=√
3.
4.
5. x=10 3x=30 32-Bilet 1. (
( )
) (
( )
( )
)
( )( ) ( )( )
( )( )
√ √ 2. (1,7: (1
)):
1
1
X=0 3.
( )
4.
(
)
( ) q-1=4 q=5
5. S
a=7,5 b=5 P=2*(7,5+5)=2*12,5=25 sm
33-Bilet 1.
x=1*5=5 kg
2.
2x-8+2x+4=
Kvadrat tenglamani yechsak x=8;-2 javoblarni olamiz, lekin x=-2 bo’lganda x+2= 0 bo’lgani uchun , X=8 javobni olamiz. 3. (
√
√
√ ) (√ )
(√ √ √ ) √
0,5*( √ )
√
=0,5
4.
Chi uchburchak tomonlariga nisbati mos ravishda teng bo’lsa, bunday uchburchaklar o’xshash uchburchaklar deyiladi.
34-Bilet
1. 0,44x +14=x 0,56x=14 x=25 ta 2.
x=2 y=1 z=0 X=1 y=2 z=0 3.
( ) ( )( )
4.
√
√
√
√
5. 2S=168
35-Bilet 1.
x=120 J:20 2. | |
x-2
x 3.
2-30=-28 4.
(
)
1.
2.
3. (
) (
)
( )
(
) ( )
4.
5.
C D AH= h HD=8 AD=10 h=6 H S=
37-Bilet 1.
+y=1000 2x+2y=2000 2x+4y=3150 2y=1150 y=575 x=425 2.
(
)
(
) q=2 3.
4.
5. A B
( )
X 2
C D
-60=0 X=5 X+5=12 S=a*b=5*12=60 38- Bilet 1. 2x=10 x=5 J:5;6;7 2.(
√
√
√
√
√
√
√
)
(√
√
)
√
3.
(
)
(
)
4 Pifagor teoremasi :
5.
y=6 x=9
39-Bilet 1. 10x=120 x=12 24;36;60 2.
( )
3.
(v+16)(1200+t)=v*t V=50 km/h 4.Uchburchak yuzi formulasi: S=
5. 7x-3x=12 x=3 21;9 13
X+7
40-Bilet 1.
2y=50 y=25 x=25 2.
3. √
√
√
√
√
√ √
4.
5. A
a a √
√ √
B 8 D 8 C R= √ √
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