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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
3.
( ) 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 <CDB=155 <DBA=25
C D
19-Bilet
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
S-?
2.(
)
x
3. √ √
x
4.
5.<D=45 √ 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.<A=120
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 <X=145 bo’ladi.
26-Bilet
1. √
2.
x=2
3. ( )
4.
5. A B s=12√
<ACD=30 DC=AC√
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 <CAK=a=30
K <A=2a=60
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=
=48
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.
15-12x<0 12x>15 x>1
3. √
√ √
√
√
√ √
4.
5. A
a a √ √ √
B 8 D 8 C R= √ √
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chiqdi.
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