Boshlang’ich, oraliq va yakuniy nazorat ishlar to’plami I bosqich talabalari uchun boshlang’ich, oraliq va yakuniy nazorat ishlar

II variant

1. log ₂2 nechaga teng?

a) 2 b) 1 d) 0 e) -1

2. log ₇1 nechaga teng?

a) 1 b) 0 d) 7 e) -1

3. Tenglamani yeching : log ₃x = 2

a) 3 b) 2 d) 9 e) -9

4. Tenglamani yeching : lg x = 3

a) 1000 b) 100 d) 10 e) 10000

5. logarifmik funksiyani toping.

a) y=a^x b) y=log_ax d) y=xⁿ e) y=

6. log₈ logarifm qiymati nechaga teng?

a) -1 b) 8 d) 1 e) -

7. 1⁹⁹⁹⁹ nechaga teng?

a) 9999 b) 1 d) 99999 e) -1

8. Sonlarni taqqoslang :

a) log₂ > log₂ d) log₂ < log₂

b) log₂ = log₂ e) log₂ ≥ log₂

9. Agar log₃x=-0,3 bo’lsa, x sonini 1 bilan taqqoslang.

a) 1 dan kichik d) 1 ga teng

b) 1 dan katta e) to’g’ri javob yo’q

10. y=log_1/3x-1 funksiya o’suvchimi yoki kamayuvchi?

a) o’suvchi d) o’zgarmaydi

b) kamayuvchi e) to’g’ri javob yo’q

11. Og’ma asosi ko’rsatilgan javobni toping.

a) berilgan nuqta b) kesmaning tekislikda yotgan uchi

d) og’ma proyeksuyasi e) berilgan nuqtadan o’tkazilgan perpendikulyar

12. Fazodagi qanday to’g’ri chiziq perpendikulyar to’g’ri chiziqlar deyiladi?

a) parallel bo’lmagan to’g’ri chiziqlar

b) ayqash bo’lamagan to’g’ri chiziqlar

d) to’g’ri burchak ostida kesishgan to’g’ri chiziqlar

e) kesishgan to’g’ri chiziqlar.

13. Ikki tekislik qachon parallel bo’ladi?

a) agar ikki tekislik kesishmasa

b) agar ikki tekislik kesishsa

d) agar ikki tekislik perpendikulyar bo’lmasa

e) ixtiyoriy ikki tekislik

14. Agar tekislik ikkita parallel to’g’ri chiziqdan biriga perpendikulyar bo’lsa,

u holda ikkinchisiga qanday holatda bo’ladi?

a) parallel d) ayqash

b) perpendikulyar e) kesishuvchi

15. To’g’ri chiziq va tekislikning o’zaro vaziyati necha xil ?

a) 2 xil b) 3 xil d) 4 xil e) 5 xil

16. y=log_a x logarifmik funksiyaga teskari funksiyani toping.

a) y=x^a b) y= d) y=a^x e) y=a^-x

17. Korsatkichli funksiya grafigi koordinata sistemasining qaysi choraklarida

joylashadi?

a) I va II b) II va III d) I va III e) I va IV

18. Ko’rsatkichli funksiyaning grafi qachon o’suvchi bo’ladi?

a) a>1 b) a<1 d) 0

19. Logarifmik funksiya grafigi koordinata sistemasining doimo qaysi

nuqtasidan o’tadi?

a) (0;1) b) (1;0) d) (1;1) e) (0;-1)

20. Logarifmik funksiyaning grafi qachon kamayuvchi bo’ladi?

a) a>1 b) a<1 d) 0

21. Har qanday sonning 0-darajasi nimaga teng?

a) 0 b) 1 d) -1 e) 

22. 0,3^3x-3=1 tenglamaning javobini toping.

a) 1 b) -1 d) 0 e) 

23. log₅ x²=-2 tenglamaning javobini toping.

a) 25 b) d) 10 e)

24. Logarifmlash amali qanday amal?

a) sonni topish d) sonning logarifmini topish

b) darajani topish e) asosni topish

25. Bir to’g’ri chiziqda yotmagan uchta nuqtadan nechta tekislik o’tkaziladi?

a) 2 ta b) 3 ta d) ixtiyoriy e) 1 ta