9-sinf Matematika olimpiada №2

Avgust 19, 2024

48 Ko'rishlar 1 izoh

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Vaqtingiz tugadi!

9-sinf Matematika olimpiada №2

2019-yil tuman bosqichida tushgan savollar

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1. Yuzi 96 sm², balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping.

A) 50 sm

B) 20 sm

C) 40 sm

D) 56 sm

2 / 25

2. ni hisoblang.

A) -2

B) 2

C) 4

D) 3

3 / 25

3. Agar bo‘lsa, ni hisoblang.

A) -4

B) 4

C) ±4

D) 3

4 / 25

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

A) -10

B) -20

C) -40

D) -5

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5. Agar f(x) = (a + b − 4)x³+ 2x²+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping.

A) 24

B) 27

C) 7

D) 20

6 / 25

6. f(x) funksiyani toping.

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

B) 1/(1-x)

C) 1/x

D) (1+x)/(1-x)

7 / 25

7. 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) 4

C) 1

D) 2

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

A) 2

B) 3

C) 4

D) 1

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

A) 4

B) 3

C) 2

D) 1

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10. Tenglamalar sistemasi nechta yechimga ega?

A) 4

B) 1

C) 6

D) 2

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

A) 84

B) 99

C) 55

D) 12√3

12 / 25

12. ABC uchburchakning AB tomonidan M va N nuqtalar shunday tanlab olinganki, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki AK=3KL=1,5LC bo'ldi. S_MNLK: S_MNLK=?

A) 3

B) 2

C) 1

D) 0,5

13 / 25

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

A) 8

B) 0

C) 20/69

D) -48

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

A) –sin40°

B) –cos40°

C) sin40°

D) cos40°

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

A) IV

B) I

C) II

D) III

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16. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor?

A) 39

B) 48

C) 33

D) 30

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17. 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) 12

B) 16

C) 21

D) 14

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18. 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) 180

B) 145

C) 126

D) 135

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

A) 8

B) 6

C) -2

D) -4

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20. 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) 12

C) 4

D) 9

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21. 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) 36

B) 16

C) 4

D) 64

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22. Sonlarni o`sish tartibida yozing.

A) a

B) c

C) c

D) b

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

A) a=−3

B) a = 1

C) a ≠1

D) a=2 ; a = -3

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24. ∠ABC = 90°, AD=2√6, CE=2√3, AG=GC, DF=FE bo‘lsa, FG ni toping.

A) 3

B) 4

C) 1

D) 2

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25. 1, 2, 3, 4, 5 raqamlaridan foydalanib nechta to‘rt xonali son tuzish mumkin, bunda raqamlar har bir sonda bir martadan ortiq takrorlanmaydi.

A) 24

B) 96

C) 60

D) 120

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