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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 5

B) 6

C) 0

D) 7

2 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 59

C) 58

D) 60

3 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 35/6

B) 6

C) 25/3

D) 8

4 / 40

tenglamani yeching.

A) 5

B) 3

C) log(5/3)2

D) log(3/5)2

5 / 40

Soddalashtiring.

A) (a-1)/(1-b)

B) (a-1)/(a-3)

C) (a+1)/(-a-3)

D) (b+2)/(1-b)

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 9

B) 8

C) 6

D) 7

7 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) (4-m)/4

C) (m+4)/4

D) 2/m

8 / 40

ni hisoblang.

A) 1

B) 3

C) 2

D) 0

9 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab o‘sadi, keyin kamayadi

B) qat’iy kamayuvchi

C) dastlab kamayadi, keyin o‘sadi

D) qat’iy o‘suvchi

10 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 80

B) 120

C) 90

D) 100

11 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 8

B) 20

C) 10

D) 15

12 / 40

Hisoblang:

A) sin10°

B) cos10°

C) 1

D) cos50°

13 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 4

C) 11

D) 6

14 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 3

C) 4

D) 2

15 / 40

sonlarini taqqolsang.

A) c

B) b

C) a

D) c

16 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,0(2)

C) 0,04

D) 0,(04)

17 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 42

B) 64

C) 48

D) 32

18 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 10

D) 11

19 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 10

C) 4√7

D) 8

20 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 32

B) 16(π-2)

C) 64

D) 8(π+2)

21 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 35

C) 14

D) 23

22 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 121

C) 22

D) 11

23 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√3

D) 2√2

24 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 3

B) 2

C) 4

D) 1

25 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 5

B) 10

C) 11

D) 7

26 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 24

D) 30

27 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 15

B) 14

C) 12

D) 13

28 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) BD = BC

B) AB = BC

C) BC > AD

D) DC < AD

29 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 3√2

B) 4√2

C) 6

D) 4√3

30 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -6

B) -4

C) -3

D) 5

31 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

32 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 100

B) 96

C) 105

D) 25

33 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 6

C) 8

D) 5

34 / 40

Tenglamalar sistemani yeching:

A) (7; 2), (28; -1)

B) (9; 0), (28; -1)

C) (9; 0), (2; 7)

D) (2; 3)

35 / 40

bo‘lsa,

A) 1

B) 2

C) 3/2

D) 2/3

36 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) Ø

B) π/4+πk, k∈Z

C) -π/4+πk, k∈Z

D) 0

37 / 40

Hisoblang:

A) 10/11

B) 9/10

C) 19/20

D) 20/21

38 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 10

B) 6

C) 8

D) 12

39 / 40

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