Topshiruvchilar

MATEMATIKA

6. 
   y = 2x² − 8x + 11 parabola uchining koordinatalari ko‘paytmasini toping.
   
   1. 
      8
      
   2. 
      6
      
   3. 
      12
      
   4. 
      10
      

6. 
   
   — · −
   x² x ^{|x − 1|} 6 = 0 tenglamaning haqiqiy ildizlari ko‘paytmasini toping.
   

x − 1

1. 
   36
   
2. 
   −9
   
3. 
   −6
   
4. 
   −4
   

6. 
   
   —
   a natural son uchun a² 1 = 8⁷(2¹⁹ + 1) bo‘lsa, ^{a − 1} ni toping.
   

64³

1. 
   16
   
2. 
   8
   
3. 
   32
   
4. 
   4
   

6. 
   f (x) = log₄x +2 funksiyaning x₀
   

1
=
ln 4


nuqtadagi hosilasini toping.

1. 
   ln 3
   
2. 
   5
   
3. 
   3
   
4. 
   1
   

6. 
   lg x − x + x lg x − 1 = 0 tenglamaning ildizlari soni n ta bo‘lsa, n+5 ni toping.
   

A) 8
B) 6
C) 9
D) 5

T-032 Matematika(8007231)

6. 
   tg 930^◦ ni hisoblang.
   
   1. 
      −^√3
      
   2. 
      ^√3
      

√₃

3. 
   − ₃
   

√₃

4. 
   
   

3

6. 
   
   4
   f (x) = ^√4x +5 funksiya grafigiga o‘tkazilgan urinma abssissa o‘qini − ¹⁵ ; 0 nuqtada kesib o‘tsa,
   

urinish nuqtasini toping.

1. 
   
   3
   
   3
   5 _; ^√105
   
2. 
   
   2
   ⁵ ; ^√15
   
3. 
   
   4
   ⁵ ; ^√10
   

D)(5; 5)

6. 
   Rasmda markazi K nuqtada bo‘lgan aylana tasvirlangan. Quyidagilardan qaysi biri berilgan aylananing tenglamasi bo‘ladi?
   

x

A) x² + y² + 6x − 4y − 7 = 0

B) x² + y² + 6x − 4y − 12 = 0
C) x² + y² + 3x − 2y − 7 = 0
D) x² + y² + 6x − 4y − 6 = 0

6. 
   Sport jamoasi 20 kishidan iborat. Jamoaga sardor va unga yordamchi tayinlash uchun 2 kishini necha xil usul bilan tanlash mumkin?
   
   1. 
      270
      
   2. 
      190
      
   3. 
      540
      
   4. 
      380
      

Matematika(8007231) T-032

6. 
   Uchburchak burchaklarning gradus o‘lchovlari 3:2:1 nisbatda bo‘lsa, shu uchburchakning burchaklarini toping.
   
   1. 
      105^◦; 50^◦; 250^◦
      
   2. 
      90^◦; 60^◦; 30^◦
      
   3. 
      90^◦; 55^◦; 35^◦
      
   4. 
      90^◦; 75^◦; 15^◦
      

6. 
   Agar 0 < α < β < 45^◦, sin (α + β) = ⁴ va sin (β − α) = ⁵
   

bo‘lsa, cos 2α ning qiymatini toping.

1. 
   16
   

65

2. 
   63
   

65

3. 
   56
   

65

4. 
   33
   

65
5 13

6. 
   Qirg‘oqdagi tog‘ cho‘qqisining T uchi dengiz sathidagi A_√ va B nuqtalardan ∠T AB = α = 30^◦ va
   

∠TBN = β = 60^◦ burchak ostida ko‘rinadi. Agar AB =
³ km bo‘lsa, tog‘ cho‘qqisining suv sathidan
2

NT balandligini (m) hisoblang. Bunda TN⊥BN va A, B, N nuqtalar bir to‘g‘ri chiziqda yotadi.
T

1. 
   500
   
2. 
   750
   
3. 
   730
   
4. 
   850
   

T-032 Matematika(8007231)

6. 
   Rasmda muntazam uchburchak va kvadrat tasvirlangan. Agar ular kesishgan (rasmda bo‘yab ko‘rsatilgan)
   

sohaning yuzi uchburchak yuzining ¹
6
qismiga, kvadrat yuzining esa ¹
4
qismiga teng bo‘lsa, uchburchak

tomonining kvadrat tomoniga nisbatini toping.

1. 
   2^√4 3
   
2. 
   2^√3
   
3. 
   
   D)
   
   3
   _√^√2^√3
   

6. 
   Rasmda f^j(x) kvadrat funksiyaning grafigi tasvirlangan. Uning f (x) boshlang‘ich funksiyasi uchun f (0) = 1 bo‘lsa, u holda f (2) ni hisoblang.
   

y
A) 3
B) 2
C) 1
D) 0

6. 
   ⁿ2 ^{− 2n +3} kasrning qiymati butun son bo‘ladigan
   

n +2


A) 1
B) 3
C) 2
D) 4
n (n ∈ Z)
ning nechta qiymati bor?

6. 
   Kasrni qisqartiring:
   

1. 
   −x³
   
2. 
   x²
   
3. 
   −x
   
4. 
   −x²
   

_x−3 _{− x}−2 _x−4 _{− x}−5
Matematika(8007231) T-032

6. 
   2; 0; −2; −4; −6; ... arifmetik progressiyaning nechta hadi −200 dan katta?
   
   1. 
      102
      
   2. 
      101
      
   3. 
      103
      
   4. 
      100
      

6. 
   
   { | ∈ ∈ } { | ∈ ∈ } ∩
   A = x x N, 36 = nx, n N , B = x x N, 72 = nx, n N to‘plamlar berilgan. A B
   

to‘plamning elementlari sonini toping.

1. 
   6
   
2. 
   8
   
3. 
   9
   
4. 
   12
   

6. 
   Piramida asosining diagonallari soni piramidaning qirralari soniga teng. Piramidaning yoqlari soni bilan uchlari soni yig‘indisini toping.
   
   1. 
      14
      
   2. 
      12
      
   3. 
      16
      
   4. 
      8
      

6. 
   Agar x=3, y=4 bo‘lsa, xy²x²y − 13xyxy ifodaning qiymatini toping.
   
   1. 
      −72
      
   2. 
      72
      
   3. 
      144
      
   4. 
      −144
      

6. 
   Tengsizlikni yeching: x² − 3x − 2 · x² − 3x + 1 < 10
   
   1. 
      (−1; 4)
      
   2. 
      (0; 4)
      
   3. 
      (−∞; −1) ∪ (4; +∞)
      
   4. 
      [−1; 4)
      

T-032 Matematika(8007231)

6. 
   
   Hisoblang: 2+ ⁷
   

9

1. 
   ⁷
   

3

2. 
   10
   

3

3. 
   ⁸
   

3

4. 
   ⁵
   

3


9
+ 1 − ⁵

6. 
   
   − −
   ^√x 2+^√x 1 = 3 tenglamaning haqiqiy ildizlari yig‘indisini (agar haqiqiy ildizi bitta bo‘lsa, shu ildizni) toping.
   
   1. 
      ⁷
      

9

2. 
   3
   
3. 
   3⁷
   

9

4. 
   3⁸
   

9

6. 
   Agar f (x) = x² − 6 funksiyaning eng kichik qiymati a bo‘lsa, f (a) ni toping.
   
   1. 
      −6
      
   2. 
      12
      
   3. 
      30
      
   4. 
      0
      

6. 
   a, b natural sonlar uchun a · b = 18 bo‘lsa, 2a + b ning eng kichik qiymatini toping.
   
   1. 
      37
      
   2. 
      15
      
   3. 
      12
      
   4. 
      20
      

6. 
   y = ^√2^2x − 2^x+2 − 32 funksiyaning aniqlanish sohasini toping.
   
   1. 
      x ≥ 3
      
   2. 
      x ≤ 1,x ≥ 3
      
   3. 
      x ≤ 1,x ≥ 2
      
   4. 
      x ≥ 2
      

6. 
   Hisoblang: 3¹ · 5² − 5, 4 · ²
   

Matematika(8007231) T-032

3 5 3

1. 
   14 ²
   

5

2. 
   11 ³
   

5

3. 
   13 ¹
   

5

4. 
   ²
   

15

6. 
   Og‘ma konus asosining diametri 6 cm ga teng (rasm). Agar konus uchidan asos tekisligigacha bo‘lgan eng qisqa masofa 6 cm bo‘lsa, konusning hajmini (cm³) toping.
   

6 cm

1. 
   36π
   
2. 
   9π
   
3. 
   27π
   
4. 
   18π
   

6. 
   Rasmda devorga suyab qo‘yilgan narvon tasvirlangan. Bunda L narvonning uzunligi, h narvonning devordagi proyeksiyasining uzunligi va d esa narvonning tekislikdagi proyeksiyasining uzunligidir. Agar d uzunlik h ning 75 % iga teng va d + h = 7 bo‘lsa, narvonning L uzunligini toping.
   

A) 5
B) 6
C) 3
D) 4

T-032 Matematika(8007231)

6. 
   Magazinda birinchi kuni tarvuzlarning 48 %i sotildi. Ikkinchi kuni esa qolgan 117 ta tarvuz sotildi. Birinchi kuni nechta tarvuz sotilgan?
   
   1. 
      108
      
   2. 
      104
      
   3. 
      116
      
   4. 
      98
      

Fizika(8007231) T-032

FIZIKA

6. 
   Qutqaruv chambaragining massasi 3 kg ga teng. Uning suvdagi ko‘tarish kuchini (N) toping. Chambarakning zichligi 200 kg/m³.
   
   1. 
      133
      
   2. 
      145
      
   3. 
      150
      
   4. 
      120
      

6. 
   Tinchlikdagi massasi 1,2 kg bo‘lgan jism 0,6c tezlik bilan harakatlansa, uning massasi qanchaga o‘zgaradi?
   

c − yorug‘likning vakuumdagi tezligi.

1. 
   0,3 kg ga ortadi
   
2. 
   0,3 kg ga kamayadi
   
3. 
   0,24 kg ga ortadi
   
4. 
   0,24 kg ga kamayadi
   

6. 
   Bosimning o‘lchov birligi qanday?
   
   1. 
      N/m²
      
   2. 
      kg/mol
      
   3. 
      J/(kg·K)
      
   4. 
      m
      

6. 
   Rasmda kondensatorga ulangan o‘tkazgichdagi tok kuchining vaqt bilan o‘zgarish grafigi keltirilgan, tokning musbat qiymati kondensator zaryadini oshiradi. Kondensator zaryadi (mC) dastlabki 4 ms davomida qanchaga o‘zgargan?
   

I,A 20
15
10
5
0

-5
-10
-15
-20
t,ms

1. 
   22,5
   
2. 
   7,5
   
3. 
   0
   
4. 
   15