|
306.
Ifodani soddalashtiring:
1)
3
2
:
;
4
b
3 2
2
2
a b
a
3)
5
2
3
:
;
-
-
2
2
abc
a bc
2)
(
)
3
2
:
;
9
3
2
x y
xy
4)
(
)
4
:
.
-
2 3
x y z
xyz
Bo‘lishni bajaring
(307
—
310):
307.
1)
(
)
12
6 : 3;
+
a
3)
(
) ( )
14
8 : 2 ;
-
-
m
2)
(
)
10
: 5;
-
b
5
4)
(
)
( )
:
.
-
-
6 3
3
+ x
308.
1)
(
)
5
6
: ;
-
mn
np
n
3)
(
)
: ;
-
x xy
x
2)
(
)
4
: ;
-
a
ab
a
2
3
4)
(
) ( )
:
.
-
-
cd d
d
94
309.
1)
(
)
(
)
3
4
: 5
;
-
a b
ab
ab
2
3
2)
(
) (
)
4
3
2
:
;
+
-
c b
c b
c b
5
4 3
4
3
3
3)
-
-
+
5
2
3 2
:
27
21
10
;
k l
k l
k l
4
3
4)
5
2
: 4
.
-
a b + a b
a b
3
6 2
4
3
310.
1)
(
)
6
8
10 : ;
-
+
a
b
2
3)
(
)
( )
2
10
8
a
ab+ a
a
-
12
: 2 ;
2)
(
)
( )
8
:
;
+
-
-
x
y
12
16
4
4)
(
)
( )
2
6
4
: 2 .
+
-
2
2
ab a b
b
b
311.
Ifodani soddalashtiring:
1)
(
)
(
)
( )
3
2
2
2
6
3
:
12
9
: 3 ;
-
+
+
a
a
a
a
a
a
2)
(
)
3
2
2
2
8
4
: 2
4
3
: ;
-
-
-
x
x
x
x
x
x
3)
(
)
(
)
-
-
+
3
2
2
2
2
1
3
3
2
:
2
:
;
x
x y
x
xy
x y
xy
4)
(
)
(
)
-
+
-
2
2
3
2
2
1
2
3
:
6
5
:
.
a b
ab
ab
b
ab
b
312.
Dala hovli to‘g‘ri to‘rtburchak shaklida bo‘lib, uning bo‘yi
enidan 1,5 marta uzun. Kanal qazish zarurati bo‘lgani
uchun hovlining bo‘yini 6 m ga kamaytirishdi, enini esa
6 m ga uzaytirishdi. Natijada, dala hovlining yuzi avvalgi
yuziga qaraganda 84 m
2
ga ortdi. Dala hovlining avvalgi
perimetri va yuzini toping.
O‘zingizni tekshirib ko‘ring!
1.
Ifodani daraja ko‘rinishida tasvirlang:
5
3
· 5
2
;
3
8
: 3
6
;
(2
3
)
4
;
3
5
· 2
5
.
2.
Ifodani soddalashtiring:
+
-
-
-
2
2
(3
) (
2 ).
b c
d
c
d
3.
Amallarni bajaring:
-
×
-
-
3 2
2
( 0,25
) (5
); (7
20
10 ) : (10 ).
a b c
abc
m
mn
m
m
4.
Ifodani soddalashtiring va uning
m
=
-
0,25 bo‘lgan-
dagi son qiymatini toping:
- +
-
+
+
2 (
1) (
2)(
2) 2 .
m m
m
m
m
95
III bobga doir mashqlar
313.
Jumlalarni matematik tilda yozing:
1)
m
sonning kvadratini;
2)
a
sonning kubini;
3)
c
va 3 sonlar yig‘indisining kvadratini;
4)
c
va 3 sonlar kvadratlarining yig‘indisini.
314.
Jumlalarni matematik tilda yozing:
1)
n
va
m
sonlar ayirmasining kvadratini;
2)
n
va
m
sonlar kvadratlarining ayirmasini;
3)
n
va
m
sonlar ayirmasining kubini;
4)
1
2
va
b
sonlar kublarining ayirmasini.
315.
Kvadratning tomoni
c
metrga teng. Uning perimetri va
yuzini yozing.
316.
To‘g‘ri to‘rtburchak shaklidagi oynaning bo‘yi enidan
30 sm uzun. Uni deraza romiga solish uchun bo‘yi va eni-
dan 10 sm dan kesishdi. Oynaning kesib tashlangan bo‘-
laklarining yuzi 1400 sm
2
ga teng. Oynaning dastlabki
o‘lchamlarini toping.
317.
Bir tomoni ikkinchi tomonidan 3 marta katta bo‘lgan
to‘g‘ri to‘rtburchakning bir tomonini
x
bilan belgilab,
uning yuzi formulasini yozing.
318.
Qirrasi 1 m bo‘lgan kub qirrasi 1 sm bo‘lgan kublarga
ajratilsa va ular ustma-ust qo‘yilsa, qanday balandlikdagi
ustun hosil bo‘ladi?
319.
Agar odamning yuragi 1 minutda o‘rtacha 75 marta ursa,
uning yuragi bir sutka davomida necha marta uradi?
320.
O‘quvchi 1 m
3
po‘kakni ko‘tara oladimi? (1 sm
3
po‘kak-
ning massasi 0,2 g).
321.
Quyidagi sonlarni standart shaklda yozing:
1) 0° C va 760 mm sim. ust. bosimli 1 sm
3
gazdagi
molekulalar soni 27 000 000 000 000 000 000 ga teng;
96
2) parsek (astronomiyada qabul qilingan uzunlik birligi)
30 800 000 000 000 km ga teng;
3) elektron hisoblash mashinasi 1 sekundda 1 000 000 ta
amal bajarishi mumkin.
322.
Yer shari sirti 510 mln km
2
dan ortiq. Yer hajmi 1000
mlrd km
3
dan ortiq. Bu sonlarni standart shaklda yozing.
323.
1
l
dengiz suvida o‘rtacha 0,00001 mg oltin bor. 1 km
3
dengiz suvida qancha oltin bor?
324.
Ko‘phadni standart shaklga keltiring:
1)
( ) ( )
( ) (
) ( ) ( )
2
4
3 2
0,2
5
5
5
8 ;
-
-
+
-
+
m
n
a b
n
m
b a
nm
ab
2)
( ) ( )
( )
(
)
( )
13
0,2
2
5
6
0,2
3 ;
-
-
+
+
-
ab
xy
a
b
x
y
a
b
3)
+
-
-
2
5
7
2
3
7
12
3
8
2
5
1
2
;
abc a
a
bc
ab
a
4)
-
+
-
2
3
2
2
1
8
3
9
2
3
4
2
4
.
nmk n
nm
nk
n m
k
325.
Ko‘phadning qiymatini toping:
1)
-
+
+
=
=
2
2
0,08
73
27
, bunda
4,
0,2;
x
xy
xy
x
y
2)
-
+
+
= -
=
a b
b
a b
a
b
2
2
1
3
3
4
2
4
11
, bunda
,
2 ;
3)
-
+
-
-
-
+
= -
3
2
2
2
5
3
11
7
6
7
, bunda
1;
p
p
p
p
p
p
p
p
4)
-
+
-
+
+
-
=
2
3
2
3
2
8
7
6
5
2
3
8 , bunda
1.
x
x
x
x
x
x
x
x
326.
Ko‘phadlarning algebraik yig‘indisini toping:
1)
(
) (
) (
)
3
2
2
2
2
3
2
1
3
;
-
+
+
- +
-
+
x
xy
x y
x y xy
x
2)
(
) (
) (
)
2
2
2
2
2
3
5
7
5
3
7
3
;
+
+
-
+
-
-
x
xy
x y
xy
x
x y
x
3)
(
) (
) (
)
2
2
2
2
2
2
8
10
6
2
8
4
;
-
-
+ -
+
-
-
-
+
a
ab b
a
ab b
a
ab
b
4)
(
) (
) (
)
2
2
2
2
2
2
4
2
2
3
.
a
ab b
a
b
ab
a
b
ab
-
+
- - +
-
+
+
-
97
Yangi „ Spark“ avtomobi-
lining egasi yurib turgan va
zaõiradagi g‘ildiraklarni rasm-
da ko‘rsatilgan tartibda al-
mashtirib turdi. 30 000 km yo‘l
yurilgach, hamma g‘ildiraklar
bir xil yedirilgani ma’lum bo‘l-
di. Har bir g‘ildirak necha ki-
lometr yo‘l bosgan (18- rasm)?
Ko‘phadlarni ko‘paytiring
(327
—
328):
327.
1)
+
-
-
x
y z x z
(0,3
0,3
)(
);
3)
(
)
-
+
+
m
n
p
m
1
1
1
4
4
5
20
8
;
2)
(
)
-
+
+
x
y z x y
0,5
0,5
(
);
4)
(
)(
)
-
+
-
a
a
a
2
2
0,2
0,4
1 5
10 ;
328.
1)
(
)(
)(
)
-
+
-
a b a b
a
b
2
3 ;
3)
(
)(
)(
)
+
+
-
x
x
x
2 3
1 2
1 ;
2)
(
)(
)(
)
+
-
+
a b a b
a
b
2
3 ;
4)
(
)(
)(
)
-
+
-
x
x
x
3 2
1 3
1 .
329.
Bo‘lishni bajaring:
1)
(
)
(
)
4
3
2
0,01
0,2
0,04
0,002 : 0,01 ;
a
a
a
a
a
-
+
+
2)
(
) (
)
-
-
-
+
-
5
4
3
2
2
0,05
0,08
0,09
0,01
:
0,01
;
x
x
x
x
x
3)
4)
+
-
6 3
3 4
5
3
3
6
9
3
4
5
10
5
:
.
a x
a x
ax
ax
III bobga doir sinov mashqlari — testlar
1.
Hisoblang:
3
5
3
3 9 : 81 .
×
A) 3;
B)
1
3
;
C)
1
9
;
D)
1
27
.
¹ 6
7 — Algebra, 7- sinf
18- rasm.
98
2.
Hisoblang:
×
×
a b
b
a
ab
8
4 4
2 6
2 3
2
( )
( ) ( ) ( )
.
A)
a
2
b
2
;
B)
b
2
;
C)
a
2
;
D)
b
2
1
.
3.
Birhadning son qiymatini toping:
a b c
2 3
1
5
, bunda
= -
= -
=
a
b
c
2,
1,
10.
A)
-
4
5
;
B)
4
5
;
C) -8;
D) 8.
4.
Birhadni standart shaklda yozing:
-
ab
a b
3
4
2
2
1
2
2
.
A)
3 3
2
;
a b
-
B)
a b
3 3
4
3
;
C)
-
b a
3 3
4
3
; D)
3 3
4
.
a b
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