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11-sinf Matematika 4-chorak

InfoMaster

Aprel 20, 2021

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11-sinf Matematika 4-chorak

Testni Salomov Sardor tayyorladi.

1 / 25

Tomoni 4 ga teng bo’lgan teng tomonli uchburchak ichiga uchburchakning tomonlariga urinuvchi uchta teng doira joylashtirilgan. O’zaro urunuvchi doiralar yoylaridan hosil bo’lgan egri chiziqli uchburchakning yuzini toping

A) (2-√3)(2-π)

B) (4-√3)(2√3-π)

C) 2√3-π

D) (2-√3)(2√3-π)

2 / 25

$y=6^{ln(x^{2}+5)}$ funksiyasining kamayish oralig’ini toping

A) (-√5;√5)

B) (-∞;0]

C) ∅

D) (0;+∞)

3 / 25

Voleybol jamoasi 9 ta o’yinchidan iborat. Boshlang’ich tarkibga 6 ta o’yinchini nechta usul bilan tanlab olish mumkin

A) 21

B) 42

C) 84

D) 168

4 / 25

Funksiyaning aniqlanish sohasini toping : y=log_x-2(x²+7x-8)

A) (-∞;-8)U(2;3)U(3;+∞)

B) (-∞;-1)U(8;+∞)

C) (8;+∞)

D) (2;3)U(3;+∞)

5 / 25

Hisoblang:

cos²33⁰+cos²45⁰-sin²60⁰+cos²57⁰

A) 1,5

B) 0,5

C) 2,25

D) 0,75

6 / 25

Massasi 735 gr va konsentratsiyasi 16% bo’lgan yodning spirtdagi eritmasiga qancha toza spirt qo’shilsa, uning konsentratsiyasi 10% bo’ladi

A) 252

B) 441

C) 420

D) 256

7 / 25

Tekislikdagi 1 m masofada yotgan nuqtadan ikkita teng og’ma o’tkazilgan. Agar og’malar perpendikulyar va tekislikka o’tkazilgan perpendikulyar bilan 60⁰ ga teng burchaklar tashkil etsa, og’malarning asoslari orasidagi masofani toping

A) 2√3

B) 1

C) 2√2

D) 4√2

8 / 25

B,C,D,E nuqtalar aylanadagi, A esa aylanadan tashqaridagi nuqtalar. D nuqta AE kesmada, B esa AC kesmada yotadi. Agar AE=12 va AC=16 bo’lsa, BE vatar uzunligining CD vatar uzunligiga nisbatini toping

A) 4

B) 3

C) 3/4

D) 1

9 / 25

Funksiyaning statsionar nuqtalarini toping $f(x)=2x^3-3x^2-12x+3$

A) x=-1, x=3

B) x=-1, x=2

C) x=0, x=2

D) x=3, x=2

10 / 25

Uchlari A(2;3;4) va B(-4;-5;-6) nuqtalarda bo’lgan AB kesmasining o’rtasining koordinatalarini toping.

A) (-1;-1;-1)

B) (-1;-1;-4)

C) (-2;-4;-1)

D) (-1;-3;-1)

11 / 25

Koordinatalar boshidan y=x²-4x+3 parabolaning simmetriya o’qigacha bo’lgan masofani toping.

A) 1

B) 3

C) 2

D) 4

12 / 25

Limitni hisoblang:

A) 3

B) -4

C) 4

D) -3

13 / 25

Uchlari A(4;0;1), B(5;-2;1), C(4;8;5) nuqtalarda bo’lgan uchburchakning AL bissektrisasi uzunligini toping

A) 4

B) (4√2)3

C) (2√5)/3

D) (4√2)/5

14 / 25

$\lim_{x\rightarrow -1}(5-2x)$ limitni hisoblang

A) 7

B) 6

C) 5

D) 0

15 / 25

A(1;-2;2), B(1;4;0), C(-4;1;1) va D(-5;-5;3) nuqtalar berilgan. AC va BD vektorlar orasidagi burchakni toping

A) 80°

B) 52°

C) 90°

D) 15°

16 / 25

$f(x)=x^3-2x^2+3x-2$ funksiya grafigiga x=4 abssissali nuqtada o`tkazilgan urinma tenglamasini tuzing

A) y=10x

B) y=35x+30

C) y=20x+20

D) y=35x

17 / 25

$f(x)=x^2-3x+4$ funksiya uchun y=2x-1 to`g`ri chiziqqa parallel bo`lgan urinma tenglamasini yozing

A) y=2x+3

B) y=2x-2,25

C) y=2x

D) y=3x-2,2

18 / 25

$f(x)=x^3+2x^2+x+3$ funksiyasining kamayish oralig’ini toping.

A) (-∞;-1)

B) (-1;1/3)

C) (-1/3;+∞)

D) [-1;-1/3]

19 / 25

Funksiya hosilasini toping: f(x)=5

A) x

B) 5

C) 0

D) 10

20 / 25

sin3x+ $\sqrt{3}$ cos3x≥0 tengsizligini yeching

A) [-π/9+2πn/3; 2π/9+2πn/3]

B) (-π/2+n π;- π/2+n π)

C) [-π/9+n π/3;2 π/9+n π/3]

D) ø

21 / 25

cos(2arctg(1/2)) ni hisoblang

A) 35/37

B) 37/35

C) -35/37

D) -37/35

22 / 25

(x²+23x+23)(x²+x+23)=23x² tenglama haqiyqiy ildizlari yig’indisini toping

A) -24

B) -23

C) 24

D) 23

23 / 25

Silindr shaklidagi idishga 6 sm³ suv solindi. Idishga detal to’liq cho’ktirilganda, suv sathi 1,5 marta ko’tarildi. Detal hajmini aniqlang

A) 23

B) 14

C) 3

D) 1

24 / 25

Tandirdan olingan nonning temperaturasi 20 minut ichida 100⁰ dan 60⁰ gacha pasayadi. Tashqi muhit temperaturasi 25⁰. Nonning temperaturasi qancha vaqtda 30⁰ gacha pasayadi?

A) 41

B) 61

C) 71

D) 51

25 / 25

Moddiy nuqta qonuniyat bilan harakatlanmoqda, eng katta tezlanishga erishiladigan vaqtni toping.