62
0
4
1
3
1
2
3
1
4
2
4
2
1
5
3
.
12
0
1
5
4
1
6
5
8
5
2
2
2
1
3
1
.
11
0
6
6
8
1
1
4
1
1
2
3
6
3
5
7
.
10
4
3
5
1
4
2
1
1
3
2
1
2
3
1
1
.
15
2
4
6
7
1
1
3
1
2
3
0
2
4
3
5
.
14
2
0
2
5
1
2
1
1
0
4
4
3
.
13
4,5-mashg’ulotlar. Chiziqli tenglamalar sistemasi
Mustaqil bajarish uchun topshiriqlar
Determinantlar yordamida quyidagi tenglamalar sistemasini yeching:
1)
40
5
4
7
2
3
y
x
y
x
2)
2
2
1
3
y
ax
y
ax
3)
8
4
7
4
2
5
y
x
y
x
Quyidagi tenglamalar sistemasi yechilsin:
4)
0
4
3
4
0
5
4
5
0
2
3
2
z
y
x
z
y
x
z
y
x
5)
2
5
3
3
4
2
1
3
4
2
z
y
x
z
y
x
z
y
x
6)
0
3
4
0
2
5
2
z
y
x
z
y
x
7)
0
4
3
0
3
2
0
2
3
z
y
x
z
y
x
z
y
x
8)
0
0
3
2
0
2
3
z
y
x
z
y
x
z
y
x
9)
1
3
3
6
4
2
4
3
2
z
y
x
z
y
x
z
y
x
10)
7
2
3
3
3
2
4
3
2
z
y
x
z
y
x
z
y
x
11)
10
2
3
3
3
2
4
3
22
z
y
x
z
y
x
z
y
x
Berilgan tenglamalar sistemasining birgalikda
ekanligini tekshiring, agar birgalikda bo’lsa,
ularni:
a)
Kramer qoidasidan foydalanib,
b)
Matrisa usuli,
c)
Gauss usuli bilan yeching:
1)
11
4
2
3
11
2
4
3
4
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
2)
9
4
6
3
12
5
6
2
17
3
6
4
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
3)
3
3
4
2
6
3
8
1
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
4)
8
2
3
2
2
3
3
3
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
5)
6
5
2
3
20
4
3
2
6
3
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
6)
8
2
3
3
8
3
5
2
9
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
64
9.
;
7
6
5
3
,
5
3
,
7
2
4
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
10.
6
7
1
2
3
4
2
3
3
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
11.
;
3
2
4
3
,
0
3
4
2
,
2
5
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
12.
8
2
4
4
3
3
5
2
5
3
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
13.
12
5
3
21
13
2
5
10
5
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
14.
7
5
5
3
7
3
4
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
15.
13
3
4
2
1
5
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
16.
5
3
2
3
2
2
2
2
3
4
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
17
1
2
14
3
5
3
10
7
2
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
18.
7
4
3
2
3
7
3
7
4
6
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
19.
10
4
3
2
0
3
2
14
5
2
3
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
20.
;
15
2
3
4
,
1
3
5
2
,
9
2
6
5
3
2
1
3
2
1
3
2
1
x
x
x
x
x
x
x
x
x
6- mashg’ulot. Tekislikda analitik geometriya
1
. Tekislikda analitik geometriyaning sodda masalalari mavzusibo’yicha
mu sta qil bajarish uchun m asalalar
1.Son o ’qida
4
,
5
B
A
va
2
C
nuqt alar yasalsin va kesma larning shu
o ’qdagi
AV,
VS va
AS katt alik lar i to pilsin.
AC
BC
AB
ek anlig i t ek shir ils in.
2.Old ing i mashq
4
,
1
B
A
va
5
C
nuqtalar uchun ba jar ilsin.
3. Uchlar i
1
;
0
,
2
;
4
B
A
va
3
;
3
C
nuqt alarda bo ’lgan uc hburchak ning
perimet rini to ping.
4.
1
;
2
A
nuqt adan am,
Ou o ’qdan am 5 bir likk a u zoqlashgan nuqt a topilsin.
5.
Ox
o ’qida
4
;
8
A
nuqt adan va koordinat lar bo shidan baravar uzoqlikda t urgan
nuqt a topilsin.
6. Uchlar i
2
;
3
,
3
;
4
B
A
va
6
;
1
C
nuqt alarda bo ’lgan uchburchakka tashq i
chiz ilga n do iraning markaz i va radius i to pils in.
7.Ordinat a lar o ’qida koordinat lar bo shida n va
5
;
2
A
nuqtad an
baravar
uzo qlikda t urgan nuqta topils in.
8.Abssissa lar o ’qida
3
;
2
A
nuqt adan
5
3
bir likka uzoqlashgan nuqt a
topils in.
9.
1
;
3
A
va
3
;
5
B
nuqt alar o rasidagi maso fani t oping.
10.
3
;
5
A
va
4
;
6
B
nuqt alar or asidag i masofa ni to ping.
11.
1
;
2
A
va
6
;
3
B
nuqtalar yasalsin.
AV kesma ni
2
:
3
:
NB
AN
nisbat da
bo ’luvc hi
y
x
N
;
nu qt a t op ils in.
12.
1
;
2
A
va
6
;
3
B
nuqtalar ya sa lsin.
AV kesma ni
1
:
2
:
MB
AM
nisb atda
bo ’luvc hi
y
x
M
;
nuqt a topilsin.
65
13. Uchlar i
3
;
4
,
1
;
2
B
A
va
1
;
2
C
nuqt alarda bo ’lgan uchburchak
to mo nlar ining o ’rtalar i aniq la ns in.
14. Uchlar i
0
;
8
,
0
;
0
A
O
va
6
;
0
B
nuqt alarda bo ’lgan
uchburchakda OS
media na va
OD bissektr isa u zunlik lar i aniq lansin.
15. Uchlar i
3
;
5
,
0
;
2
B
A
va
6
;
2
C
nuqt alarda bo ’lgan uchburchakning yuz i
hisoblansin.
16.Uchlar i
3
;
6
,
6
;
4
,
1
;
3
C
B
A
va
2
;
5
D
nuqtalard a bo ’lgan
to ’rtburchakning yuz i hisobla n.
7-mashg’ulot.
To’g’ri chiziq va uning tenglamalari
m avzusibo’yicha mustaqil bajarish uchun masalalar
1.
OY
o’qidan
4
b
kesama ajratib
OX
o’qi bilan
0
135
burchak tashkil etuvchi
to’g’ri chiziqni yasang va uning tenglamasini yozing.
2.
OY
o’qidan
2
b
kesma ajratib
OX
o’qi bilan
0
60
burchak tashkil etuvchi
to’g’ri chiziqni yasang va uning tenglamasini yozing.
3. Koordinatlar boshidan o’tib,
OX
o’qi bilan:
0
0
0
0
90
).
4
,
60
).
3
,
120
).
2
,
45
).
1
burchak tashkil etuvchi to’g’ri
chiziqlarni yasang va ularning tenglamalarini yozing.
4. 1)
0
15
5
3
y
x
; 2)
0
2
3
y
x
; 3)
2
y
; 4)
1
4
/
4
/
y
x
to’g’ri chiziqlar uchun
k
va
b
parametrlarni aniqlang.
5. 1)
0
12
3
4
y
x
; 2)
0
3
4
y
x
; 3)
0
7
2
x
; 4)
0
7
2
y
to’g’ri chiziqlarning kesmalarga nisbatan tenglamalarini yozing va ularni yasang.
6.
)
3
;
2
(
A
nuqtadan o’tib,
OX
o’qi bilan
0
60
burchak hosil qiluvchi to’g’ri
chiziqni yasang va uning tenglamasini yozing.
7. 1)
0
6
3
2
y
x
; 2)
0
4
2
3
y
x
to’g’ri chiziq tenglamalarini, kesmalar
bo’yicha tenglamasiga keltiring.
8.
0
40
5
y
Ax
to’g’ri chiziq
A
ning qanday qiymatlarida koordinat
o’qlaridan bir xil kesmalar ajratadi.
9. Uchlari
)
4
;
3
(
A
,
)
2
;
3
(
B
va
)
2
;
1
(
C
nuqtalarda bo’lgan uchburchak
tomonlarining tenglamalarini yozing.
10. To’g’ri chiziqning koordinatlar boshidan uzoqligi 3, unga koordinatlar boshidan
tushirilgan perpendikulyar
OX
o’qi bilan
0
45
burchak hosil qilsa, to’g’ri chiziq
tenglamasini yozing.
11.
0
3
y
x
to’g’ri chiziqqa koordinatlar boshidan tushirilgan perpendikulyarning
uzunligini va uning
OX
o’qi bilan tashkil qilgan burchagini toping.
12. Ushbu 1)
0
6
4
3
5
2
y
x
, 2)
0
7
13
5
13
12
x
3)
0
2
4
3
5
3
y
x
, 4)
0
4
3
2
3
1
y
x
to’g’ri chiziq tenglamalaridan qaysilari normal ko’rinishda?
13. Ushbu 1)
0
26
12
5
y
x
, 2)
0
10
4
3
y
x
,
3)
5
3
x
y
, 4)
0
7
2
2
y
x
to’g’ri chiziq tenglamalarini normal ko’rinishga keltiring.
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