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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

Qavariq ko’pburchakning har bir uchidan uchtadan qirra chiqadi. Agar bu ko’pyoqning qirralari soni 12 ta bo’lsa, uning nechta uchi va yog’i mavjud?

A) 4;10

B) 4;11

C) 8;10

D) 4;18

2 / 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

3 / 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^(0.5π)

B) e^(-0.5π)

C) e^(-π)

D) e^(π)

4 / 25

F(x)=0.2sin(5x+12) funksiyasi uchun f(x) ni toping

A) f(x)=-cos(5x+12)

B) f(x)=0.5cos(5x+12)

C) f(x)=cos(5x+12)

D) f(x)=-0,5sin(5x+12)

5 / 25

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

A) 13

B) 131

C) -13

D) -4

6 / 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) (-1;-1;-1)

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

D) (-2;-4;-1)

7 / 25

f(x)=2x+3 funksiyasi uchun A(1;5) nuqtadan o’tuvchi boshlang’ich funksiyasini toping.

A) F(x)=x²+3x+1

B) F(x)=x²+3x-1

C) F(x)=x²-3x-1

D) F(x)=x²-3x+1

8 / 25

tgx funksiya hosilasini toping

A) sinx

B) 1/cos²x

C) 1/sinx

D) cosx

9 / 25

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

A) (4√2)3

B) (4√2)/5

C) (2√5)/3

D) 4

10 / 25

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

A) 7

B) 0

C) 5

D) 6

11 / 25

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

A) y=35x

B) y=35x+30

C) y=20x+20

D) y=10x

12 / 25

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

A) 0,6

B) 0,0269

C) 0,5

D) 0,01

13 / 25

Funksiyaning kamayish oraliqlarini toping

A) (-1;0) va (0;2)

B) (-1;0) va (0;1)

C) (-2;0) va (0;1)

D) (-3;0) va (0;1)

14 / 25

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

A) (-4;-6;6)

B) (-8;-3;6)

C) (-4;-3;9)

D) (-4;-3;6)

15 / 25

A) 13

B) 18

C) 14

D) 20

16 / 25

Agar f(x)=6+5tg²2x bo’lsa, f^'(π) ni toping

A) 1

B) 5

C) 3

D) 0

17 / 25

f(x)=(sinx)^cosx bo’lsa, f '(5π/6) ni toping

A) (ln2+3)/2)*(√2^√2)

B) (ln2+3)/2)*(√3^√3)

C) (ln2+3)/2)*(√2^√3)

D) (ln2-3)/2)*(√2^√3)

18 / 25

x=1, y=2^x va y=2^-x chiziqlari bilan chegaralangan sohaning yuzini toping

A) log₃e

B) log₄e

C) ln3

D) ln4

19 / 25

2cosx+sinx=-2 tenglamaning [-π;π] kesmada nechta ildizi bor

A) 2

B) 3

C) Ø

D) 1

20 / 25

integralni hisoblang

A) 5ln4e

B) 5ln2e

C) 5

D) 5ln3e³

21 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) √2/2

B) 2√2

C) √8/2

D) √2

22 / 25

Trapetsiyaning kichik asosi 6 ga va yon tomoni 5 va 7 ga teng. Uning kata asosi ham butun son bo’lsa, perimetri eng ko’pi bilan nechaga teng bo’lishi mumkin

A) 1

B) 3√2

C) 3

D) 4

23 / 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) 335

C) 4

D) 1/2

24 / 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) ø

D) [-π/9+n π/3;2 π/9+n π/3]

25 / 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) 36

C) 4

D) 335