9-sinf Matematika olimpiada №2

Avgust 19, 2024

85 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 0

6

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

Vaqtingiz tugadi!

9-sinf Matematika olimpiada №2

2019-yil tuman bosqichida tushgan savollar

1 / 25

1. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping.

A) 44

B) 50

C) 48

D) 34

2 / 25

2. Agar bo‘lsa, ko‘paytmani hisoblang.

A) 31/35

B) -1

C) 1/33

D) 1/35

3 / 25

3. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping

A) 225

B) 400

C) 150

D) 125

4 / 25

4. Sonlarni o`sish tartibida yozing.

A) a

B) c

C) c

D) b

5 / 25

5. Agar x²−8x+20z+4z²+41=0 tenglik o`rinli bo`lsa, xz ni toping.

A) -10

B) -20

C) -5

D) -40

6 / 25

6. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b²−4ac)

A) 3

B) 2

C) 1

D) 4

7 / 25

7. ABCD trapetsiyaning yuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchbutchakning yuzini toping.

A) 14

B) 12

C) 16

D) 21

8 / 25

8. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping.

A) 55

B) 99

C) 84

D) 12√3

9 / 25

9. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping.

A) 4

B) 1

C) 3

D) 2

10 / 25

10. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan?

A) I

B) II

C) IV

D) III

11 / 25

11. Hisoblang: cos 10^o− 2 cos 50^o− cos 70^o

A) sin40°

B) –cos40°

C) –sin40°

D) cos40°

12 / 25

12. Agar bo’lsa , x va y sonlarning ko’paytmasini toping.

A) 6

B) 8

C) -4

D) -2

13 / 25

13. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor?

A) 30

B) 33

C) 39

D) 48

14 / 25

14. f(x) funksiyani toping.

A) (1+x)/(1-x)

B) 1/x

C) (1-x)/(1+x)

D) 1/(1-x)

15 / 25

15. x₀soni tenglamani ildizi bo`lsa, x²₀ -64 ni toping.

A) 20/69

B) 0

C) 8

D) -48

16 / 25

16. Tenglamalar sistemasi nechta yechimga ega?

A) 4

B) 1

C) 6

D) 2

17 / 25

17. Bahodir o`zidagi 411 dona yong`oqni 4 ta bolaga bo`lib berdi. Agar Sanjar va O`ktamning olgan yong`oqlari soni 2 va 3 sonlariga to`g`ri proporsional ,O`ktam va Sohibning yong`oqlari 7 va 5 sonlariga teskari proporsional , Sanjar va G`anisherning yong`oqlari esa 9 va 4 sonlariga teskari proporsional ekanligi ma`lum bo`lsa, G`anisher nechta yong`oq olgan?

A) 126

B) 145

C) 180

D) 135

18 / 25

18. (a²- 9)x = a²+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega?

A) a = 1

B) a=2 ; a = -3

C) a ≠1

D) a=−3

19 / 25

19. Birinchi quvurdan ikkinchi quvurga qaraganda ikki barobar ko’p suv oqadi.Ikkalasi birgalikda bo’sh hovuzni 12 soatda to’ldiradi.Birinchi quvur hovuzning uchdan bir qismini necha soatda to’ldiradi?

A) 6

B) 4

C) 9

D) 12

20 / 25

20. Agar arifmetik progressiyada bo`lsa, ayirmani toping.

A) 2

B) 4

C) 1

D) 3

21 / 25

21. tengsizlikni yeching.

A) (-∞;-1/2)∪(-1/2;∞)

B) (-∞;-1/2)∪(-1/2;3)∪(3;∞)

C) (-∞;3)∪(3;∞)

D) xℇR

22 / 25

22. Funksiya berilgan. f(f(−1)) ni toping.

A) 29

B) 5

C) 15

D) 18

23 / 25

23. ABCD parallelogramda AB=10, AD=16. BC tomonga AE va DF bissektrisalar o`tkazilganbo`lib, ular G nuqtada kesishadi. E va F nuqtalar BC tomonda bo`lsa, AGD va FGE uchgburchaklar yuzalari nisbatini toping.

A) 16

B) 36

C) 4

D) 64

24 / 25

24. Kataklarning chiziqlari bo’yicha A dan B ga olib boruvchi eng qisqa yo’llar soni nechta?

A) 57

B) 58

C) 55

D) 56

25 / 25

25. Baliq og‘irliklari 14:12:11:8:15 kabi nisbatda bo‘lgan besh bo‘lakka bo‘lindi. Ikkinchi bo‘lakning og‘irligi 1,12 kg bo‘lsa, butun baliqning og‘irligini qancha?

A) 6,72 kg

B) 6,4 kg

C) 5,6 kg

D) 4,48 kg

0%