9-sinf Matematika olimpiada №2

Avgust 19, 2024

240 Ko'rishlar 1 izoh

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Vaqtingiz tugadi!

9-sinf Matematika olimpiada №2

2019-yil tuman bosqichida tushgan savollar

1 / 25

1. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping.

A) 16

B) 15

C) 14

D) 22

2 / 25

2. Tenglamaning natural sonlardagi yechimida ni toping:

A) 5

B) 4

C) 2

D) 3

3 / 25

3. ifodani a=4, b=5 bo‘lgandagi qiymatini toping.

A) -1

B) 1

C) 0

D) 2

4 / 25

4. 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) 3

C) 2

D) 1

5 / 25

5. 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) 4

B) 64

C) 16

D) 36

6 / 25

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

A) -10

B) -40

C) -5

D) -20

7 / 25

7. f(x) funksiyani toping.

A) 1/(1-x)

B) 1/x

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

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

8 / 25

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

A) 7

B) 24

C) 20

D) 27

9 / 25

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

A) a=2 ; a = -3

B) a = 1

C) a ≠1

D) a=−3

10 / 25

10. 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) 4

D) 1

11 / 25

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

A) -4

B) 6

C) 8

D) -2

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) 1

C) 2

D) 0,5

13 / 25

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

A) 8

B) -48

C) 20/69

D) 0

14 / 25

14. tengsizlikni yeching.

A) (-∞;3)∪(3;∞)

B) (-∞;-1/2)∪(-1/2;3)∪(3;∞)

C) (-∞;-1/2)∪(-1/2;∞)

D) xℇR

15 / 25

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

A) 3

B) 2

C) 4

D) 1

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16. 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) 135

B) 145

C) 126

D) 180

17 / 25

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

A) –sin40°

B) sin40°

C) cos40°

D) –cos40°

18 / 25

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

A) 15

B) 5

C) 18

D) 29

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19. 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

20 / 25

20. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping.

A) 2

B) 4

C) 3

D) 5

21 / 25

21. Sonlarni o`sish tartibida yozing.

A) c

B) a

C) c

D) b

22 / 25

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

A) IV

B) II

C) I

D) III

23 / 25

23. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor?

A) 39

B) 33

C) 30

D) 48

24 / 25

24. Hisoblang

A) 11

B) 15

C) 16

D) 18

25 / 25

25. bo‘lsa, 3? + ? ni toping.

A) 7,5

B) 2,5

C) 5

D) 10

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