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11-sinf Matematika 3-chorak

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Aprel 20, 2021

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11-sinf Matematika 3-chorak

Testni Salomov Sardor tayyorladi.

1 / 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) 1

B) 2

C) √22

D) √2

2 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) 2√2

B) √2/2

C) √8/2

D) √2

3 / 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) 4

B) 335

C) 1/2

D) 1

4 / 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) 3

B) 335

C) 4

D) 36

5 / 25

tengsizlikning yechimi bo’lgan eng kichik natural sonni toping

A) 5

B) 1

C) 4

D) 3

6 / 25

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

A) 25

B) 16

C) √24

D) √26

7 / 25

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

A) 0,01

B) 0,0269

C) 0,6

D) 0,5

8 / 25

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

A) x=0, x=2

B) x=-1, x=3

C) x=-1, x=2

D) x=3, x=2

9 / 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=3x-2,2

D) y=2x

10 / 25

Agar f(x)=x² va bo`lsa ,f(g(2)) ni toping

A) 0

B) 36

C) 12

D) 16

11 / 25

$f(x)=x^4-8x^2+3$ funksiyaning [-4;1] kesmadagi eng kata qiymatini toping.

A) 131

B) -4

C) 13

D) -13

12 / 25

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

A) (4;9;9)

B) (2;5;3)

C) (4;9;9)

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

13 / 25

Uchlari A(2;-3;4) va B(-2;4;5) nuqtalarda bo’lgan AB kesmasining uzunligini toping

A) √55

B) √24

C) √66

D) √19

14 / 25

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

A) -13

B) 15

C) -17

D) 17

15 / 25

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=x²cosx-2xsinx

B) y’=2xsinx+x²cosx

C) y’=2xsinx-x²

D) y’=-2xsinx+x²

16 / 25

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

A) (-4;-3;6)

B) (-8;-3;6)

C) (-4;-6;6)

D) (-4;-3;9)

17 / 25

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

A) 5

B) 0

C) 6

D) 7

18 / 25

A) 20

B) 13

C) 14

D) 18

19 / 25

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

A) (-1;-3;-1)

B) (-2;-4;-1)

C) (-1;-1;-1)

D) (-1;-1;-4)

20 / 25

Limitni hisoblang:

A) 3

B) -4

C) 4

D) -3

21 / 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) 8100

B) 19600

C) 25600

D) 14400

22 / 25

f(x)=e^xcosx funksiyasi uchun f ’(π/2) ni aniqlang.

A. e^-0.5π B. e^0,5π C. e^π D. e^-π

A) e^(-π)

B) e^(π)

C) e^(0.5π)

D) e^(-0.5π)

23 / 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) 8

D) 6

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) 71

C) 51

D) 61

25 / 25

To’g’riburchakli parallelepiped asosining tomonlari 7:24 nisbatda, diagonal kesimining yuzi 50dm² ga teng. Yon sirtining yuzini toping.

A) 124 dm

B) 124 dm²

C) 135 dm²

D) 224 dm²