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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

Murakkab funksiyaning hosilasini toping. y=x²sinx

A) y’=2xsinx+x²cosx

B) y’=2xsinx-x²

C) y’=x²cosx-2xsinx

D) y’=-2xsinx+x²

2 / 25

tgx funksiya hosilasini toping

A) sinx

B) cosx

C) 1/cos²x

D) 1/sinx

3 / 25

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

A) 17

B) 15

C) -13

D) -17

4 / 25

Agar f(x)=x² va bo`lsa ,f(g(-4)) ni toping

A) 36

B) -12

C) 0

D) 12

5 / 25

Moddiy nuqta S(t)=5t³+3t²+2t+4 qonuniyat bilan harakatlanayotgan jismning t=2 sekunddagi tezligini toping.

A) 84

B) 74

C) 60

D) 70

6 / 25

Karim uyida 14 bet matn terib, 8ta imloviy xatoga yo’l qo’ydi. Agar 1 betda o’rtacha 380 ta so’z bo’lsa, Karim 100ta so’z terganda o’rtacha qancha xato qiladi?

A) 0,5

B) 1,5

C) 0,25

D) 0,15

7 / 25

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

A) 4

B) 2

C) 3

D) 1

8 / 25

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

A) √66

B) √24

C) √19

D) √55

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

B) (4√2)/5

C) (4√2)3

D) (2√5)/3

10 / 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

B) y=2x-2,25

C) y=3x-2,2

D) y=2x+3

11 / 25

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

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

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

C) F(x)=2sin4x+c

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

12 / 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; 4,2 dm

B) 17,64 dm²; 4,9 dm

C) 17,64 dm; 4,2 dm

D) 17,68 dm²; 4,2 dm

13 / 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) 2300

B) 1023

C) 2025

D) 2330

14 / 25

$\sqrt[3]{131}$ sonini taqriban hisoblang.

A) 3,08

B) 4,08

C) 5,01

D) 5,08

15 / 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;11

B) 8;10

C) 4;18

D) 4;10

16 / 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) 4√2

C) 2√2

D) 1

17 / 25

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

A) (-√5;√5)

B) (-∞;0]

C) (0;+∞)

D) ∅

18 / 25

cos15⁰*cos45⁰ *cos75⁰ ni hisoblang

A) √2/2

B) √8/2

C) 2√2

D) √2

19 / 25

tengsizlikning yechimi bo’lgan eng kichik natural sonni toping

A) 5

B) 4

C) 3

D) 1

20 / 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) 1/2

B) 4

C) 335

D) 1

21 / 25

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

A) [-π/9+2πn/3; 2π/9+2πn/3]

B) ø

C) (-π/2+n π;- π/2+n π)

D) [-π/9+n π/3;2 π/9+n π/3]

22 / 25

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

A) -23

B) 23

C) 24

D) -24

23 / 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

24 / 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) 4

B) 1

C) 3

D) 3√2

25 / 25

Uchlari soni 14 ta, qirralari soni esa 21 ta bo’lgan ko’pyoqning yoqlari sonini toping.

A) 16

B) 8

C) 4

D) 9