Barcha fanlardan online testlar

Matematika olimpiada Tuman 2019-2020 o'quv yili

11-sinf Matematika olimpiada №2

InfoMaster

Avgust 19, 2024

120 Ko'rishlar 3 izohlar

SaqlashSaqlanganOlib tashlandi 2

Tomonidan yaratilgan InfoMaster

11-sinf Matematika olimpiada №2

2019-yil tuman bosqichida tushgan savollar

1 / 25

1. Koordinata boshidan o‘tuvchi, simmetriya o‘qi ordinata o‘qiga parallel, cho‘qqisi y=x va y+x-2=0 to‘g‘ri chiziqlar kesishgan nuqtada bo‘lgan parabolaning tenglamasini toping.

A) y=-x²+1

B) y=x²-2x

C) y=-x²-2x

D) y=-x²+2x

2 / 25

2. Ifodaning oxirgi raqamini aniqlang: $3^{279}\cdot 7^{298}-3^{178}\cdot 7^{197}$

A) 0

B) 6

C) 3

D) 1

3 / 25

3. Perimetri 4 ga o`tkir burchagi 30^oga va shu burchak qarshisidagi tomoni √3 ga teng bo`lgan uchburchakka ichki chizlgan aylana radiusini toping.

A) 7-4√3

B) (1+√3)/2

C) (√3-1)/2

D) 4√3+7

4 / 25

4. Bitta tekislikda yotuvchi n ta turli tog`ri chiziq o`tkazilgan. Ularning ixtiyoriy ikkitasi parallel emas va ixtiyoriy uchtasi bitta nuqtadan o`tmaydi ,ya`ni bitta nuqtada kesishmaydi. Bu to`g`ri chiziqlar tekislikni 1276 qismga ajratadi. n ni aniqlang?

A) 49

B) 52

C) 51

D) 50

5 / 25

5. GH kesmani O nuqta, G nuqtadan boshlab hisoblaganda, 5 : 7 kabi, P nuqtaesa 5:11 kabi nisbatda bo’ladi. O va P nuqtalar orasidagi masofa 30 sm bo’lsa, GH kesmaning uzunligini toping.

A) 288

B) 72

C) 234

D) 18

6 / 25

6. Agar lg5=a va lg3=b bo`lsa, log₃₀⁡8 ni toping.

A) 3(1−a)

B) (1−a)(1+b)

C) (3(1-a))/(1+b)

D) 1+b

7 / 25

7. Radiusi 6 ga teng bo`lgan uchta aylana o`zaro tashqi urinishidan hosil bo`lgan egri chiziqli uchburchakka ichki chizilgan aylana radiusini toping.

A) 4√3-6

B) 6-2√3

C) 2√2−1

D) 1

8 / 25

8. Asosi ga teng bo`lgan muntazam to`rtburchakli piramidaning uchidan o`tkazilgan kesma asos tomonini 2:4 nisbatda bo`ladi va asos tekisligi bilan 60^o li burchakhosilqiladi. Piramidahajmini toping.

A) √30

B) 12√30

C) 6

D) √10

9 / 25

9. ni hisoblang.

A) 13

B) -13

C) 12

D) -12

10 / 25

10. f(x)=x³/3-x²-35x+2 funksiya uchun f `(x)=0 bo`lsa x ni toping.

A) −7 va 5

B) −5 va 7

C) −7 va −5

D) 5 va 7

11 / 25

11. ABCD tetraedrning D uchidagi barcha yassi burchaklari to`g`ri. Shu tetraedrda kub shunday ichki chizilganki, kubning bitta uchi D nuqtada, unga qarama−qarshi uchi esa ABC yoqda yotibdi. Agar DA=5, DB=6 va DC=10 bo`lsa, kub qirrasining uzunligini toping.

A) 2√2

B) 25/12

C) 15/7

D) 2

12 / 25

12. y=6sin2x+sin12x funksiyaning hosilasini toping.

A) 24sin7xsin5x

B) 24sin5xcos7x

C) −24sin7xcos5x

D) 24cos7xcos5x

13 / 25

13. Agar f(g(x))= − x+13 bo`lsa, f(x) va g(x) to`g`ri chiziqlar orasidagi burchakni toping .

A) π/4

B) π/2

C) 0

D) π/3

14 / 25

14. Poyezd 3 minutda 7 kilometrmasofani , motosikl 5 minutda 7 kilometrmasofanibosibo`tdi. Mototsikltezligipoyezdtezliginingnecha % initashkilqiladi?

A) 71%

B) 60%

C) 70%

D) 61%

15 / 25

15. funksiyaning aniqlanish sohasini toping.

A) (2/3;∞)

B) (-∞;2/3)∪(2/3;∞)

C) (-∞;4/3)∪(4/3;∞)

D) (-∞;4/3)

16 / 25

16. |x²+2x-8|=3a tenglama a ning qanday qiymatlarida 3 ta haqiqiy yechimga ega bo`ladi.

A) a=3

B) (0;3)

C) 1

D) a>3, a=0

17 / 25

17. Agar 2^a=27, 3^c=16 bo’lsa a ∙ ? ning qiymatini toping.

A) 13

B) 11

C) 10

D) 12

18 / 25

18. ifodani soddalshtiring

A) 2cosα

B) 1

C) 2sinα

D) cosα

19 / 25

19. 3cos2x-3 sin2x=0 trigonometrik tenglamani yeching.

A) π/12+πk/2; k∈Z)

B) π/6+πk; k∈Z

C) π/12+2πk; k∈Z

D) π/12+πk; k∈Z

20 / 25

20. funksiyaning boshlang`ich funksiyasini toping.

A) III

B) II

C) I

D) IV

21 / 25

21. f(x)=70cosxcos6x uchun boshlang`ich funksiya toping.

A) 7cos5x−5cos7x+c

B) 7sin5x+5sin7x+C

C) −7cos5x−5cos7x+c

D) 7sin5x−5sin7x+c

22 / 25

22. Tengsizlikni yeching.

A) (4/3;3)

B) (1/2;∞)

C) (2/3;2)

D) (5/3;2)

23 / 25

23. Tenglamani yeching:

A) π −arcctg4+πk; k∈Z

B) πk; π−arcctg4+πk; k∈Z

C) πk; −arcctg4+πk; k∈Z

D) arccos0,8+2πk; k∈Z

24 / 25

24. Tenglamani yeching: |x²-3x-2|=x²+3|x+2|+4

A) (−∞;−2]

B) [−2;∞)

C) [−2;0]

D) [2;∞)

25 / 25

25. Ifodani soddalashtiring:

A) √(a²-1)

B) 0

C) 1+√(a+1)

D) 1−√(a-1)

Author: InfoMaster

Foydali bo'lsa mamnunmiz

SaqlashSaqlanganOlib tashlandi 2

Oldingi

11-sinf Kimyo olimpiada №2

Keyingi

11-sinf Nemis tili olimpiada №2

InfoMaster

Foydali bo'lsa mamnunmiz

Tegishli Maqolalar

Istaklar ro'yxatiga qo'shildiIstaklar ro'yxatidan olib tashlandi 3

Javob qoldiring

Sharhlash uchun siz saytga kirishingiz lozim.

Iyul 2022
Du	Se	Ch	Pa	Ju	Sh	Ya
	1	2	3
4	5	6	7	8	9	10
11	12	13	14	15	16	17
18	19	20	21	22	23	24
25	26	27	28	29	30	31

Elementlarni Solishtiring

Jami (0)

Solishtiring

11-sinf Matematika olimpiada №2

Vaqtingiz tugadi!

Author: InfoMaster

11-sinf Kimyo olimpiada №2

11-sinf Nemis tili olimpiada №2

9-10 sinf Matematika olimpiada №6

10-sinf Matematika olimpiada №7

5-sinf Matematika №1

8-sinf Matematika olimpiada №4

Javob qoldiring

Elementlarni Solishtiring