1. Quyidagi funksiyalardan qaysi biri kvadrat funksiya bo`ladi ?

Sayyora

1. Quyidagi funksiyalardan qaysi biri kvadrat funksiya bo`ladi ?

A) y = 3x² + x³ – 8 B) y = 5x⁴ + 6x C) y = 2010x² + 41x + 9 D) y = 2x -3

2. Kvadrat funksiyaning nollarini toping: y = x² - 5x + 6

A) x₁=1, x₂=6 B) x₁= -1, x₂= - 6 C) x₁=2, x₂=3 D) x₁= -2, x₂= -3

3. Parabola uchining koordinatalarini toping: y = .

A) (-3; 2) B) (-3; - 2) C) (3; -2) D) (3; 2)

4. Agar (-1;2) nuqta y = kx² +3x – 4 parabolaga tegishli bo`lsa, k ning qiymatini toping.

A) 9 B) 6 C) -1 D) 1

5. Funksiyaning eng kichik qiymatini toping: y = x² + 4x + 5.

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

6. y = -2x² +6 funksiyaning grafigi qaysi koordinata choraklarida joylashgan

A) I, II, III, IV B) I, II C) III, IV D) I, III, IV

7.y = 4x² +12x +9 funksiyaning o`sish oralig`ini toping.

A) (1,5; ∞) B) (-∞; 1,5) C) (-∞; -1,5] D) [-1,5; ∞)

8. Parabolaning koordinata o`qlari bilan kesishish nuqtalarining koordinatalarini toping: y = -2x² – 8x +10

A) (1;0), (-5;0), (0;10) B) (-1;0), (5;0), (0;-10) C) (2;0), (-8;0), (0;-6)

D) (-2;0), (8;0), (0;6)

9. Quyidagi tengsizliklardan qaysi biri kvadrat tengsizlik ekanini toping.

A) 4x -5 > 0 B) 41x² – 9x + 1 < 0 C) 2x³ + 3x² -4x +7 > 0 D) x⁴-4< 0

10. y = x² +x -6 funksiya x ning qanday qiymatlarida manfiy qiymatlar qabul qiladi

A) (2; 3) B) (-3; 2) C) (-∞;2) U (3; ∞) D) (-∞;1) U (6; ∞)

11. Kvadrat tengsizlikni yeching: x² – 4x +6 > 0 .

A) (-∞;1) U (6; ∞) B) (2; 3) C) (-4; 6) D) yechimlari yo`q

12. Kvadrat tengsizlikni yeching: 3x² – 5x -2 > 0.

A) (-∞; ) U ( 2; ∞) B) (-∞; - ) U ( 2; ∞) C) (- ; 2) D) ( ; 2)

13. 4x² + 4x +1 ≤0 tengsizlikni yeching.

A) (- ∞; ∞) B) (-∞; - )U(- ;∞) C) x = - D) (-∞; -1)U(4;∞)

14. x = 41 qiymat qaysi tengsizlikning yechimi bo`ladi ?

A) (x-7)(x-2010) > 0 B) (x - 29)(x - 31) > 0 C) (x-30)(x-34) < 0

D) (x +1)(x + 42) < 0

15.Tengsizlikni yeching: (x – 6)(x – 13) <0.

A) (-∞;6) U (13; ∞) B) (-∞;-13) U (6; ∞) C) (-13; -6) D) (6;13)

16. Katetlari 20 va 15 ga teng bo’lgan to’g’ri burchakli uchburchakning gipotenuzasini toping. A) 25 B) 30 C) 10 D) 5

17. Qavariq beshburchakning burchaklari kattaliklari 2:3:4:5:6 kabi nisbatda . Burchaklardan kattasini toping.

A) 136⁰ B) 162 ⁰ C) 148⁰ D0 163 ⁰

18. To’gri to’rt burchakning tomonlari nisbati 4:3 , yuzi 48 sm² bo’lsa, perimetrini toping.

A) 4 sm B) 28 sm² C) 28 sm D) 12 sm

19. Hisoblang: 3² + (-5)⁰ - 2⁴ A) -12 B) -8 C) -6 D) -4

20. ni soddalashtiring.

A) B) C) D) 0 E)

21.Quyida keltirilgan tengliklardan qaysilari ayniyat emas?

1)
2)
3)
4)
5)
A) 1;2;4 B) 1;3;4 C) 1;2;5 D) 2;3;5 E)3;4;5

22. To’g’ri burchakli uchburchak katetlarining gipotenuzadagi proyeksiyalari 2 va 8 ga teng. Uchburchakning yuzini toping.

A) 40 B) 16 C) 10 D) 24 E) 20

23. ni hisoblang. A) B) C) D) E)

24. ning qanday qiymatlarida parabola absissalar o’qi bilan ikkita umumiy nuqtaga ega bo’ladi ?
A) B) C) D) E)

25.Quyidagi tenglamalardan qaysi biri ildizga ega emas ?

A) B) 6
C) D) E)

26. tengsizliklar sistemasini nechta butun yehimga ega ?

A) B) C) D) E)

27. To’g’ri burchakli uchburchak o’tkir burchagining bissektrisasi (qarama-qarshi) katetni uzunliklari 4 va 5 ga teng bo’lgan, qismlarga ajratadi. Shu uchburchakning perimetrini toping.

A) B) C) 32 D) E) 40

28. ni hisoblang.

A) B) C) D) E)

— raqamlar, va esa ikki xonali sonlar. Agar bo’lsa, ning qiymati qanchaga teng.
A) B) C) D) E)

30.To’g’ri burchakli uchburchakning gipotenuzasi 25 ga, katetlaridan biri ga teng. Ikkinchi katetning gipotenuzadagi proyeksiyasini toping.

A) B) C) 14 D) E) 15,5