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Matematika attestatsiya №5

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Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

ni hisoblang.

A) e-1

B) e+1

C) (e-1)/2

D) (e+1)/2

2 / 40

Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 16

B) 18

C) aniqlab bo‘lmaydi

D) 20

3 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 1

B) 3

C) 0

D) 2

4 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) 1

C) 2

D) √2

5 / 40

Tengsizlikni yeching.

A) (-∞;-2]

B) [-3;2]∪{1}

C) [-2;1]∪{-3}

D) [-3;-2]

6 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,9 m yoki 90 cm

B) 0,7 m yoki 70 cm

C) 0,5 m yoki 50 cm

D) 0,6 m yoki 60 cm

7 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 36

B) 32

C) 34

D) 40

8 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 101

C) 99

D) 98

9 / 40

Soddalshtiring.

A) -1

B) 2

C) 6

D) 1

10 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 4

B) 2

C) 1

D) 3

11 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 10

B) 0

C) 30

D) 25

12 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 8√3

B) 12√3

C) 6√5

D) 9√5

13 / 40

Hisoblang:

A) 20/21

B) 9/10

C) 19/20

D) 10/11

14 / 40

Tenglamalar sistemani yeching:

A) (9; 0), (28; -1)

B) (7; 2), (28; -1)

C) (9; 0), (2; 7)

D) (2; 3)

15 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 8

B) 6

C) 7

D) 5

16 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 44

B) 43

C) 42

D) 45

17 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 3√2

D) 4√3

18 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 10

B) 7

C) 11

D) 5

19 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 3√2

B) 4√2

C) 6

D) 4√3

20 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 1

B) 4

C) 3

D) 2

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 2

C) 4

D) 3

22 / 40

Hisoblang:

A) -1/2

B) 0

C) -√3/2

D) 1/32

23 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 20°

D) 50°

24 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 14

B) 13

C) 12

D) 15

25 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,0(4)

D) 0,04

26 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 5

D) 6; -5

27 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 6

B) 12

C) 8

D) 10

28 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 20

C) 10

D) 12

29 / 40

Hisoblang:

A) cos10°

B) cos50°

C) 1

D) sin10°

30 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 8

B) 4√7

C) 10

D) 6√7

31 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 4

D) 1

32 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) 4 √3tg50° tg70°

B) √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

33 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 116

D) 110

34 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 4

D) 11

35 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) berilganlar yetarli emas

C) 22

D) 11

36 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 25

B) 105

C) 96

D) 100

37 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 8

B) 15

C) 10

D) 20

38 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?