|
Sana:_____________
27-mashg‘ulot
Dars mavzusi
.
Haqiqiy sonning moduli.
Dars maqsadlari
: o‗quvchilarga haqiqiy sonning modulini o‗rgatish,
ularning fanga qiziqishlarini oshirish.
Darsning borishi
:
1. Tashkiliy qism.
2. Haqiqiy sonning moduli.
Haqiqiy sonning moduli.
a
– haqiqiy sonning moduli (absolyut qiymati) |
a
| bilan belgilanib, u quyidagicha
aniqlanadi:
a
a
a
a
a
,
lsa
bo'
0
agar
,
lsa
'
bo
0
agar
Masalan: |2|=2; |-5|=5; |0|=0.
Xossalari:
1)
|-
a
|=|
a
|, |
a
|
0, |
a
|=0
a
=0;
2)
|
a-b
|
|
a
|-|
b
|, |
a+b
|
|
a
|+|
b
|;
3)
|
abc
|=|
a
|
|
b
|
|
c
|;
;
3. Mustahkamlash.
Test yechiladi.
TESTLAR.
1.
ni hisoblang.
A) 2
B) 1
C) 3
D) 4
E) 2,5
2.
ni hisoblang.
A) 1
B)
C)
D)
E)
3.
m
=|4,8|;
n
=|-4,(8)|;
r
=
va
q
=|-3,2| sonlarini kamayish tartibida yozing.
A)
n>m>r>q
B)
m>n>r>q
C)
m>r>q>n
D)
r>m>q>n
E)
m>r>n>q
1
1
,
0
,
a
a
b
b
a
b
a
|
7
|
8
3
|
4
|
|
8
|
6
3
|
4
4
|
|
|
5
7
|
4
3
|
||
6
3
|
4
|
6
4
|
5
4
|
2
1
5
2
1
6
5
5
1
1
5
3
4
Toshloq tumani
4.
m
=|8,(8)|;
n
=|-8,8|;
r
=
va
q
=
sonlarini kamayish tartibida yozing.
A)
n>m>r>q
B)
m>n>r>q
C)
m>q>n>r
D)
q>m>n>r
E)
q>n>m>r
5. Agar
r>q>k
>0 bo‗lsa,
|r+q|-|k-q|+|k-r|
ni soddalashtiring.
A) 2
r
B) 2
r
+2
q
-2
k
C) 2
r
+2
q
+2
k
D) 2
r
+2
k
E) 2
q
-2
k
6. Agar
a>b>c
bo‗lsa, |
a–b|+|c–a|–|b–c
| ni soddalashtiring.
A)
a
-2
b
B) 2
c
C) 2
a
D) 2
a
-2
b
E)
b
-2
c
7. Agar
x>y
>0 bo‗lsa,
ni soddalashtiring.
A)
x-y
B)
C)
D)
x+y
E)
y-x
8. Quyidagi munosabatlardan qaysi biri noto‗g‗ri?
A) |
a
2
+
b
2
|
a
2
+
b
2
B) |
a
5
+
b
5
|
a
5
+
b
5
C) |
a
3
+
b
4
|
a
3
+
b
4
D)
E)
9. Son o‗qida –2 dan 4,7 birlik masofada joylashgan sonlarni aniqlang.
A) –6,7; 2,7 B) –6,7; –2,7
C) 6,7; 2,7
D) –6,7
E) –2,7
4. Darsni yakunlash.
5. Uyga vazifa: test yechish tematik axborotnomalardan
Tayyorladi: _________________________
Tekshirdi: O‘TIBDO‗ : __________ _________________________
―_____‖____ 201 y.
9
7
8
7
6
8
xy
y
x
y
x
xy
2
2
xy
2
xy
2
|
|
2
a
a
a
a
2
Toshloq tumani
Sana:_____________
28-mashg‘ulot
Dars mavzusi
.
Modul qatnashgan tengsizliklar.
Dars maqsadlari
: o‗quvchilarga modul qatnashgan tengsizliklarni o‗rgatish,
ularning fanga qiziqishlarini oshirish.
Darsning borishi
:
1. Tashkiliy qism.
2. Modul qatnashgan tengsizliklar.
|
x-a
|<
b
tengsizlik quyidagicha yechiladi:
1)
b
>0 bo‗lsa,
x
(
a-b; a+b
)
2)
b
0 bo‗lsa,
x
|
x-a
|>
b
tengsizlik quyidagicha yechiladi:
1)
b
>0 bo‗lsa,
x
(-
,
a-b
)
(
a+b
,
)
2)
b
=0 bo‗lsa,
x
(-
,
a
)
(
a
,
)
3)
b
<0 bo‗lsa,
x
(-
,
)
Masalan: |
x
-2|<5
x
(-3; 7)
Misol: |
x
+1|-|
x
-2|>2 tengsizlikni yeching.
Yechish: Absolyut qiymat ta‘rifiga ko‗ra:
1
-
lsa,
bo'
-1
agar
;
1
lsa,
bo'
1
agar
1
x
x
x
x
x
2
-
lsa,
bo'
2
agar
;
2
lsa,
bo'
2
agar
2
x
x
x
x
x
Demak, berilgan tengsizlik quyidagi tengsizliklarga teng kuchli:
1)
2)
3)
[2; +
) Javob:
.
3. Mustahkamlash.
Test yechiladi.
TESTLAR.
1.
9
4
25
,
0
1
1
х
tengsizlikni barcha butun sonlardagi yechimlari yig‗indisini toping.
A) 63 B) 59 C) 68 D) 64 E) 72
2.
tengsizlikni yeching.
A) [2; 6]
B) (-
; 2]
[6;
)
C) (-
; -4]
[4;
)
2
2
1
,
1
x
x
x
2
2
1
,
2
1
x
x
x
2
3
,
1
x
2
3
,
2
1
x
x
2
;
2
3
2
2
1
2
x
x
x
2
3
2
x
;
2
3
1
4
2
x
Toshloq tumani
D) [-4; 4]
E) (-
; 2]
[4;
)
3.
tengsizlikni barcha butun sonlardagi yechimlari yig‗indisini toping.
A) 33
B) 37
C) 45
D) 42
E)
4.
ni yeching.
A)
B)
C)
D)
E) (-
; 0)
5.
tengsizlikning eng kichik natural yechimini toping.
A) 7
B) 3 C) 0 D) 2 E) 1
6.
tengsizlik nechta butun yechimga ega?
A) 5
B) 3 C) 10 D) 8 E) 11
7.
tengsizlikni yeching.
A) (-3;3) B) (-3;0)
(0;3) C) (-3;1)
(1;3) D) (-3;-1) E) (1; 3)
8.
tengsizlikning butun yechimlari nechta?
A) cheksiz ko‗p B) 5 C) 10 D) 6 E) 12
9.
>7 tengsizlikni qanoatlantiruvchi
x
ning eng kichik natural qiymatini
toping.
A) 1 B) 3 C) 5 D) 6 E) 2
10.
tengsizlik nechta butun yechimga ega?
A) 12 B) 8 C) 10 D) 6 E) 5
11.
tengsizliklar sistemasini yeching.
A) 2
B) -2
C) 3
D)
E)
12.
tenglamaning nechta ildizlari bor?
A) 1 B) 3 C) 5 D) 4 E) 2
13.
tenglamaning nechta ildizlari bor?
A) 1
B) 3
C) 5 D) 4 E) 2
4. Darsni yakunlash.
5. Uyga vazifa: test yechish tematik axborotnomalardan
Tayyorladi: _________________________
Tekshirdi: O‘TIBDO‗ : __________ _________________________
―_____‖____ 201 y.
15
4
2
5
,
1
1
х
0
2
1
x
x
2
1
;
2
1
;
0
2
1
;
;
2
1
0
;
2
1
;
0
8
6
х
6
4
х
4
5
2
х
1
3
2
х
х
4
1
х
х
8
4
х
1
3
,
3
х
х
3
х
4
х
4
х
4
х
2
х
8
6
8
6
2
6
2
х
х
х
х
х
1
2
1
2
2
7
2
х
х
х
х
х
Toshloq tumani
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