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11-sinf Matematika 3-chorak

InfoMaster

Aprel 20, 2021

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11-sinf Matematika 3-chorak

Testni Salomov Sardor tayyorladi.

1 / 25

Ixtiyoriy kvadratga tashqi va ichki chizilgan aylanalar yuzlari nisbati a ga teng. Ixtiyoriy aylanaga ichki va tashqi chizilgan kvadratlar yuzlari nisbati b ga teng bolsa, a/b ni toping

A) 1

B) 4

C) 1/2

D) 335

2 / 25

Uchburchakli muntazam prizma asosining radiusi $\sqrt{3}$ ga va balandligi 2 ga teng bo’lgan silindrga ichki chizilgan. Prizma yon sirtining yuzini toping

A) 335

B) 3

C) 36

D) 4

3 / 25

y>0 bo’lsin. To’g’riburchakning uchlari to’g’ri burchakli koordinatalar sistemasida qyuidagicha berilgan:
A(0;0), B(0;y), C(-9;y) va D(-11;0). To’rtburchak diagonallarining o’tralari orasidagi masofani toping

A) √22

B) √2

C) 1

D) 2

4 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) √2

B) √8/2

C) √2/2

D) 2√2

5 / 25

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

A) 35/37

B) 37/35

C) -37/35

D) -35/37

6 / 25

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

A) y=35x+30

B) y=35x

C) y=20x+20

D) y=10x

7 / 25

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

A) (-1/3;+∞)

B) (-∞;-1)

C) (-1;1/3)

D) [-1;-1/3]

8 / 25

Moddiy nuqtaning berilgan t vaqtdagi tezligini hisoblang: $s(t)=t^3-2t^2+t$ , t=5

A) 75

B) 70

C) 90

D) 80

9 / 25

Agar A(1;2;3), B(3;7;6) bo’lsa, A̅B̅ vector koordinatalarini toping

A) (2;5;3)

B) (4;9;9)

C) (4;9;9)

D) (-2;-5;-3)

10 / 25

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

A) 2

B) 3

C) 4

D) 1

11 / 25

Nargiza 4minutda 260ta so`zni terib, 7ta imloviy xatoga yo`l qo`ydi. Nargizaning matn terish sifatini aniqlang

A) 0,01

B) 0,5

C) 0,0269

D) 0,6

12 / 25

funksiya hosilasining x₀=-2 nuqtadagi qiymatini hisoblang.

A) -38/31

B) 38/31

C) 38/961

D) -38/961

13 / 25

$f(x)=x^3-2x^2$ funksiya grafigiga x=1 abssisssali nuqtadao`tkazilgan urinma tenglamasini yozing

A) y=1/2

B) y=x

C) y= 2x

D) y=-x

14 / 25

A(-4;3;6) nuqtaning Oxz tekisligiga nisbatan simmrtrik nuqtasini toping.

A) (-4;-6;6)

B) (-4;-3;6)

C) (-4;-3;9)

D) (-8;-3;6)

15 / 25

Funksiya hosilasini toping: $f(x)=7x^3-5x^2+4$

A) 14x+12

B) 12x²-12

C) 21x²-10x

D) 12x+12

16 / 25

A(2;0;-3) va B(3;4;0) nuqtalar orasidagi masofani toping

A) 25

B) √26

C) 16

D) √24

17 / 25

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

A) 6

B) 0

C) 7

D) 5

18 / 25

y=-3x³+2x²-4x+5 funksiyaga x₀=-1 nuqtada o’tkazilgan urinma tenglamasining burchak koeffitsiyentini toping.

A) -13

B) -17

C) 15

D) 17

19 / 25

Limitni hisoblang:

A) 4

B) 3

C) -4

D) -3

20 / 25

Kub to’la sirtining yuzi 105,84 sm² bo’lsa, uning har bir yog’i yuzini va qirrasining uzunligini toping.

A) 17,64 dm²; 4,9 dm

B) 17,64 dm²; 4,2 dm

C) 17,68 dm²; 4,2 dm

D) 17,64 dm; 4,2 dm

21 / 25

Havo shariga t $\in$ [0;10] minut oralig’ida V(t)=t³+13t²+t+20 (m³) havo purkamoqda. t=10 minutdagi havo hajmini toping.

A) 2025

B) 2300

C) 2330

D) 1023

22 / 25

To’g’riburchakli parallelepiped bir uchidan chiquvchi uchta qirralari uzunliklari 4,6 va 9 ga teng. Unga tengdosh kub qirrasining uzunligini toping.

A) 6

B) 7

C) 6

D) 8

23 / 25

f(x)=sin2x funksiyasining barcha boshlang’ich funksiyalarini toping.

A) F(x)=2sin4x+c

B) F(x)=-0,5cos2x+C

C) F(x)=-2cos2x+C

D) F(x)=0,5cos2x+C

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) 61

B) 51

C) 71

D) 41

25 / 25

To’g’ri to’rtburchak shaklidagi yer maydoninig atrofini o’rashmoqchi. 480 m panjara yordamida eng ko’pi bilan necha kvadrat metr yer maydonni o’rash mumkin?

A) 19600

B) 14400

C) 8100

D) 25600