9-sinf 1-variant

⎧x² +y² =25 ⎩x−y=5

22. 
    Quyidagi sistema nechta yechimga ega: ⎨
    

A) 4 B) 3 C) 2 D) 1 E) 23

22. 
    y = 5^1-sinx - 2 funksiyaning eng kichik qiymatini toping. A) 4 B) 3 C) –1 D) –2 E) mavjud emas
    
23. 
    а ning shunday qiymatlari yig'indisini topingki, unda (a-2)x²-2ax+2a-3=0 tenglama bitta ildizga ega bo'lsin.
    

A) 7 B) 5 C) 9 D) 10 E) -3 25. Quyidagi tenglama nechta ildizga ega:

3x² +6x+7 + 5x² +10x+14 = 4−2x−x²

A) 4 B) 2 C) 2 D) 1 E) ∅

26. 
    Tengsizlikni yeching: |x - 5| ≤ |x + 5|.
    

A) (-∞; 5) B) (0; 5] C) [-5; 5] D) [0; ∞) E) (-∞;∞)

26. 
    x ni 6 ga bo'linganda 3 qoldiq qoldi. 3x ni 6 bo'linganda necha qoldiq qoladi?
    

A) 0 B) 1 C) 2 D) 3 E) 4

26. 
    Ikki toq sonning yig'indisi 5 ga qoldiqsiz bo'linadi. Bu sonlarning kublari qanday raqam bilan tugaydi?
    

A) 8 B) 6 C) 5 D) 4 E) 0

26. 
    To'rtburchakning burchaklari orasidagi nisbat 2:3:3:4 bo'lsa, uning eng katta burchagini toping.
    

A) 100^о B)120^о C) 135^о D) 150^о E) 160^о

26. 
    To'g'ri burchakli uchburchakning katetlari 30 va 40. Gipotenuzaga tushirilga medianani toping.
    

A) 15 B) 18 C) 20 D) 25 E) 35

31 Agar α-yettiburchakning ichki burchaklari yig'indisi bo'lsa, cosα ni hisoblang.

A) 0 B) 1 C) –1 D) -2/2 E) -1/2

32. 
    Quyidagi tenglamaning ildizlari o'rta arifmetigini toping: 8x-2x²-x³=0
    

A) –1 B) 1 C) 2/3 D) -2/3 E) 4

32. 
    Agar 2cos= - 3sin= = 0 bo'lsa, cos2= ni toping.
    
    1. 
       4/9 B) 5/16 C) 5/13 D) 9/16 E) to'g'ri javob yo'q
       
33. 
    |x-2|≤5 tengsizlikni barcha butun yechimlari yig'indisini toping. A) 20 B) 18 C) 22 D) 24 E) to'g'ri javob yo'q
    
34. 
    x ning qanday qiymatlarida y = 4x - x² funksiya kamayadi?
    
    1. 
       [0; 2] B) [2; +oo) C) (-oo; -2] D) [0; 4] E) [4; +oo) 36. Hisoblang: 60² - 59² + 58² - 57² + ... + 2² - 1².
       

A) 1850 B) 980 C) 1230 D) 1830 E) 2460

37. 
    log_x+1(x² + x - 6)² = 4 tenglamaning nechta ildizi bor? A) 4 B) 3 C) 2 D) 1 E) birorta ham yo'q
    
38. 
    Quyidagi tenglamaning ildizlari ko'paytmasini toping: