9-sinf 1-variant

10-sinf

3-variant

1. 
   ABC uchburchakning AB va BC tomonlariga tushirilgan balandlik bu tomonlardan kichik emas. Uchburchakning burchaklarini toping.
   

A) 60°, 60°, 60° B) 30°, 30°, 120° C) 30°, 60°, 90° D) 90°, 45°, 45° E) 45°, 60°, 75°

2. 
   n ning qanday qiymatlarida cosnx - sinx ifodaning davri 3π ga teng bo'ladi?
   

A) -1, -3, -5, -15 B) 1, 3, 5, 15 C) n = 5k D) n = -5k E) 1, 2, 3, 4

3. 
   Ushbu x² + 1 = log₃(x + 2) + 3x tenglamani nechta ildizi bor?
   

A) 2 B) 1 C) 3 D) ∅ E) aniqlab bo'lmaydi

4. 
   Ushbu cosxcos2xcos4x=1 tenglama [-2π; 2π] kesmada nechta ildizga ega?
   

A) 1 B) 2 C) 3 D) 4 E) ∅

5. 
   ABCDEF muntazam oltiburchak yuzasi 216 ga teng. ACF uchburchak yuzasini toping.
   

A) 36 B) 90 C) 72 D) 18 E) 54

6. 
   Soddalashtiring: ⁴ 28+16 3 − ⁶ 5− 2 6 + ⁶ 5+ 2 6
   

A) 3 + 3 B) 3 C) 2 + 2 D) 2 3 E) 1 +

7. 
   Hisoblang: 1/sin15^o + 3 /cos15^o
   

A) 2 /4 B) 3 /2 C) 4 3 D) 1/2 E)

8. 
   Hisoblang: (( 0,5 + 2 + 4,5 − 8) :(1/2)^{1/ 2} − 4
   

A) –12 B) –4 C) 2 D) –2 E) 3 9. Soddalashtiring:

1 /(2(1 + a )) + 2 / (2(1 - a )) - (a² + 2) / (1 - a³)

A) 1 B) –a C) -1/(a² + a + 1) D) 1- a E) (1 - a )/(1 + a )

10. 
    f (x) = 12 −3x² + ln x +1 − − x funksiyaning aniqlanish sohasini toping.
    

A) [-2: 2] B) [-2: 1) U (1: 2] C) [-2: -1) U (-1: 2] D) [-2: -1) U (-1: 0) E) [0: 2]

10. 
    k ning qanday qiymatlarida kx² - (k - 7)x + 9 =0 tenglama ikkita bir xil manfiy ildizga ega bo'ladi?
    

A) 49; 1 B) 1 C) -49; -1 D) 49 E) -1

10. 
    t ning qanday qiymatlarida tx² - 6x - 1 < 0 tengsizlik x ning barcha qiymatlarida o'rinli?
    

A) t < -12 B) t < -9 C) t < -13 D) t < -8 E) t < -7

10. 
    Agar S_n arifmetik progressiyaning dastlabki n ta hadining yig'indisi bo'lsa, S₅ - 3S₄ + 3S₃ - S₂ ni toping.
    

A) 0 B) -2a₁ C) 2a₁ D) 3a₁ E) -3a₁

10. 
    Faqat maxrajlarining ishorasi bilan farq qiluvchi ikkita cheksiz kamayuvchi geometrik progressiya berilgan. Ularning yig'indisi mos
    

ravishda S₁ va S₂ ga teng. Shu progressiyaning istalgan bittasining hadlari kvadratlaridan tuzilgan cheksiz kamayuvchi geometrik progressiya hadlari yi'gindisini toping.

A) S₁-S₂ B) S₁+S₂ C) |S₁-S₂| D) (S₁+S₂)² E) S₁²+S₂²

10. 
    sinα-cosα=m tenglik o'rinli bo'lmaydigan m ning qiymatlarini toping. A) [-31; 0] U (2; 31) B) (-∞;-1] U [1; ∞) C) [-∞; 0] U [2; ∞)
    

D) [-100; 0] U (0; 100) E) [-1; 0,5] U (2;14)

2

10. 
    Agar (tgα + 3 )(tgβ + 3 ) = 4 va α, β ∈(0; π/2) bo'lsa, 9₋^⎛_⎜^{α +β⎞}_⎟
    

⎝ π ⎠

ni hisoblang.

A) 0,25 B) 0,5 C) 0,36 D) 0,64 E) 0,16

10. 
    cos55° - cos65° - cos175° ni hisoblang.
    

A) -10/8 B) - 7 /8 C) -3/8 D) - 2 - 3 /8 E) - 2 + 3 /8 18. Uchburchakning tomonlari 5; 7; 10 ga teng. Uchburchakning uchidan boshlab hisoblanganda bissektrisalar kesishgan nuqtasi katta burchakning bissektrisasini qanday nisbatda bo'ladi?

A) 2:1 B) 3:2 C) 4:3 D) 6:5 E) 5:4

19. Yuzi 9 3 ga teng bo'lgan muntazam uchburchakdan yuzi eng katta bo'lgan kvadrat qirqib olindi. Kvadratning perimetri nimaga teng?

A) 18 3 -12 B) 24-12 3 C) 64 3 -96 D) 54-16 3 E) 48 3 -72 20. Asoslari BC va AD bo'lgan ABCD trapetsiyaning diagonallari O nuqtada kesishadi. Agar DO =4, BO =2 va BOC uchburchakning yuzi 6 ga teng bo'lsa, trapetsiya yuzini toping.

A) 42 B) 48 C) 52 D) 54 E) 60 21. Hisoblang:

A) 9 D) 11 E) 10

22. 
    Hisoblang : 3+ 2 2 − 3− 2 2
    

A) 4 2 B) 0 C) 2 D) 2 2 E) 6

22. 
    Hisoblang : 3,(3) - 0,3 + 0,(2) + 0,(4)
    

A) 2,(3) B) 0,(6) C) 1,(4) D) 1,(6) E) 2,(6) 24. x⁷ = 5 - 3x tenglama nechta ildizga ega?

A) 4 B) 3 C) 2 D) 1 E) yechimi yo'q

25. 
    Agar tg(α+β) = 5, tg(α-β) = 3 bo'lsa, tg2β ni toping.
    

A) 15 B) 8 C) 1/8 D) 1 E) 2

25. 
    Hisoblang: 1 - sin92° - sin2° + 1/2 sin4°
    

A) 0,5 B) 0 C) 1 D) -0,5 E) -1

25. 
    Geometrik progressiyada b₁ + b₉ = 5 и b₁² + b₉² = 17. b₄ - b₆ = ?
    

A) 6 B) 4 C) 3 D) 2 E) 1

25. 
    Kub sirtining yuzi 24 bo'lsa, uning hajmini toping. A) 64 B) 16 C) 27 D) 2 2 E) 8
    
26. 
    Diagonallari soni 20 ta bo'lgan ko'pburchakning nechta tomoni bor?
    

A) 6 B) 7 C) 8 D) 9 E) 10

25. 
    Yon tomoni 2 2 , uchidagi burchagi 60^о bo'lgan teng yonli uchburchakka tashqi chizilgan aylananing radiusini toping.
    

A) 6 B) 2 C) 4 D) 4 3 E) 3 3

25. 
    Biror p sonini 3 ga bo'linganda 1 qoldiq, 4 ga bo'linganda 3 qoldiq qolsa, p ni 12 ga bo'lgandagi qoldiqni toping.
    

A) 9 B) 7 C) 5 D) 3 E) 1

25. 
    log₂²x - 4log₂x - 1 = 0 tenglamaning ildizlari ko'paytmasini toping.
    

A) 8 B) 4 C) 16 D) 1/8 E) 1/16

25. 
    Quyidagi funksiyaning aniqlanish sohasiga nechta butun son kiradi: y = 7− x−2
    

A) 7 B) 10 C) 13 D) 15 E) 14

25. 
    Agar ishchilar oyligi 20%ga oshsa, keyin yana 20%ga oshsa, hammasi bo'lib necha foizga oshgan?
    

A) 40 B) 50 C) 42 D) 44 E) 46

⎧x + ay =1

25. 
    a ning qanday qiymatlarida ⎨ sistema yechimga ega ⎩ax + y = 2a
    

emas?

A) 1 B) 1; -1 C) 1; 2; -1 D) 0; 1; -1 E) a∈R 36. 98²⁰⁰⁴ - 97 ayirmaning oxirgi raqamini toping.

A) 1 B) 3 C) 5 D) 7 E) 9 37. Agar |a| + b² + c² = 2b - 4c - 5 bo'lsa, 2a + b + c ni toping.

A) 1 B) –1 C) 4 D) 2 E) -3

38. 
    Arifmetik progressiyada a₃ = 5 va a₂ + a₆ + a₇ = 0. a₁ ni toping.
    
    1. 
       10 B) 15 C) 8 D) -2,5 E) -10
       
39. 
    x² + y² + 4x +6y - 3 = 0 tenglama bilan berilgan aylananing radiusini toping.
    

A) 5 B) 4 C) 6 D) 3 E) 3,5

38. 
    Agar α - to'qqizburchakning ichki burchaklari yig'indisi bo'lsa, cosα ni toping.
    
    1. 
       1 B) 1/2 C) 0 D) – 1/2 E) -1