Kimki hammasini erta qilsa, O’zining muvaffaqiyatidan haqqoniy rohatlana oladi

KIMKI HAMMASINI ERTA QILSA, O’ZINING MUVAFFAQIYATIDAN HAQQONIY ROHATLANA OLADI_{(HARVARD UNIVERSITY)}
B1 M1 GURUH 05.06.2022

1. f(x+10)=x∙f(x)+3 funksiyasi barcha x uchun aniqlangan bo‘lsa, f(20) ni toping.
A) 22 B) 33 C) 42 D) 63
2. Agar kvadrat tenglamaning ildizlari va bo’lsa,
A) 4 B) 2 C) 6 D) –7
3. Hisoblang.
A) B) C) D)
4. Kasrni hisoblang.
A) B) C) D)
5. soddalashtiring.
A) - sin α B) 2 tg α C) 2 sin α D) cos α
6. Tengsizlikni yeching

A) [2; ∞) B) [–1; 3]
C) [3; ∞) D) [2; 3]U{–1}
7. |x–2|+|x+6| ifodaning eng kichik qiymatini toping.
A) 0 B) 2 C) 8 D) 12
8. lg2=m, lg5=n va lg1400=p bo’lsa, lg7=?
A) p+3m+2n B) p–3m–2n
C) p–2m–3n D) p+2m+3n
9.
A) 4 B) 5
10. funktsiya grafigini chizing.


11. m ning nechta qiymatida va parabolalar o’zaro urinadi.
A) 1 B) 3 C) 2
D) hech qanday qiymatida urinmaydi
12. Rasmdagi to‘g‘ri burchakli trapetsiyaning perimetrini toping?

A) 16 B) 25 C) 27 D) 32
13.


14. 60 yosh bo‘lgan bir ota bolasining xozirgi yoshida ekanligida bolasining yoshi ota yoshining yarmicha edi. Shunga ko‘ra bolaning bugungi yoshi nechada?
A) 30 B) 40 C) 45 D 35
15. Quyidagi formulalardan qaysi biri arifmetik progressiyani tashkil etmaydi?
1.a_n=n(n+3) 2. a_n=3(n+1)

A) 1, 2 va 3 B) 2, 3 va 4 C) 2 va 3 D) 1 va 4
16.
x²–y²=?
A) 7 B) –7 C) 1 D) –1
17. ABC uchburchak berilgan va BC tomonga AD to’g’ri chiziq o’tkazilgan. |AC|=7, |AD|=5,|DC|=4 va |BD|=2 bo’lsa, ABC uchburchakning yuzini toping.
A) B) C) D)
18. Arifmetik progressiyada a₁ =1 va
S₂₀–S₁₂=380 bo’lsa, ayirmasi d nechaga teng.
A) 3 B) 4 C) 18 D) 12
19. To’g’ri burchakli uchburchakning A to’g’ri burchagidan BC tomonga AD mediana tushirilgan va B uchidan AD medianaga BN bissektrisa o’tkazilgan. Agar AB=8, AC=6 bo’lsa, AN ning uzunligini toping.
A) B) C) D)
20. da ko’phadning qiymatini biror natural sonning kvadrati shaklida tasvirlash mumkin bo’lsa, ning oxirgi raqamini toping.
A) 1 B) 4 C) 6 D) 0
21. a soni 7 dan katta tub son bo’lsa, ko’paytmaning nechta tub bo’lmagan musbat bo’luvchilari bor?
A) 44 B) 48 C) 8 D) 24
22.
A) B) C) D)
23. y=–2x+4 to‘g‘ri chiziq y=x²–5x+6 parabolani A va B nuqtalatda kesib o‘tadi. |AB|=?

24. Tengsizlikni yching:


25. Quyidagi funksiyalarning nechtasi toq, nechtasi juft?

A) 3 ta juft, 2 ta toq B) 2 ta juft, 2 ta toq
C) 3 ta juft 1 ta toq D) 2 ta juft, 3 ta toq

C)
27. f(x)=x²–4x+3 bo'lsa, f ^–1(3)=? (x>2)
A) 2 B) 3 C) 4 D) –4
28.
A) B) C) D)
29. ABC uchburchakning A burchagi o’tmas. Agar AC=5, BC=9 bo’lsa, AB ning qabul qilishi mumkin bo’lgan butun son nechta?
A) 7 B) 3 C) 9 D) 6
30. ABCD to’g’ri to’rtburchakning DC tomonidan E nuqta olindi. Agar |EC|=2 va ABED to’rtburchakning yuzasi BCE uchburchakning yuzasidan to’rt marta katta bo’lsa, |ED|=?
A) 2 B) 3 C) 7 D) 8

TUZUVCHILAR : SHAXZOD BOLTAYEV ; AVAZBEK CHORIYEV