Test 2006 Variant 109 Matematika Quyidagi tasdiqlardan qaysi biri hamma vaqt to’g’ri?

Test 2006 Variant 109 Matematika

1. Quyidagi tasdiqlardan qaysi biri hamma vaqt to’g’ri?

1. 
   birorta ham qo’shiluvchi 11 ga bo’linmasa, yig’indi ham 11 ga bo’linmaydi
   
2. 
   har bir qo’shiluvchi 15 ga bo’linsa, yig’indi ham 15 ga bo’linadi
   
3. 
   yig’indi 11 ga bo’linsa, har bir qo’shiluvchi ham 11 ga bo’linadi
   
4. 
   qo’shiluvchilardan kamida bittasi 12 ga bo’linsa, yig’indi ham 12 ga bo’linadi
   

2. ning qiymatini toping.

A) B) C) D)

3. 16 - (2x - 3)² ni ko’paytuvchilarga ajrating.

A) (2x - 1)(7 - 2x) B) (2x + 1)(7 - 2x)

C) (2x - 1)(2x + 7) D) (2x + 1)(2x - 7)

4. 2n² – 3an - 4n + 6a ko’phadni ko’paytuvchilarga ajrating

A) (n - 2)(2n – 3a) B) (5 – n)(3a + 2n)

C) (2n – 3a)(n - 5) D) (3a - n)(5 - 2n)

5. (x + ) : = 0 tenglamani yeching.

A) B) C) D)
6. x² – 7x + q = 0 tenglamaning ildizlaridan biri – 19 ga teng. Uning ikkinchi ildizini toping.

A) 8 B) – 26 C) – 8 D) 26

7. tengsizlikni yeching.

A) [-3;5) B) ( ] C) ( ) D) (-3;5]

8. 0,(8) + 0,(3) - ning qiymatini hisoblang.

A) B) C) D) 0,(11)
9. ( ) ni hisoblang.
A) 7 B) C) 15 D) 5

10. Ikkita to’g’ri chiziqning keszishishidan hosil bo’lgan burchaklardan uchtasining yig’indisi ga teng. Shu burchaklardan kichigini toping.

A) B) C) D)
11. Quyidagi tasdiqlarning qaysi biri to’g’ri?
1) tomonlari a, b va c bo’gan uchburchakka ichki chizilgan aylananing radiusi formula bilan hisoblanadi;
2) radiusi R ga, markaziy burchagi gat eng doiraviey sektorning yuzi formula bilan hisoblanadi;
3) tomonlari a va b ga, ular orasidagi burchaklardan biri gat eng bo’lgan parallelogramning yuzi formula bilan hisoblanadi.
A) 2;3 B) 1;2 C) 1;2;3 D) 1;3

12. Tekislikka tushirilgan og’ma va perpendikulyar orasidagi burchak ga teng. Og’maning uzunligi 130 ga teng. Perpendilulayarning uzunligini toping.

A) 96 B) 64 C) 32 D) 126

13. Agar bo’lsa, ni hisoblang.

A) B) C) D) 3

14. Quyidagi sonlardan qaysi biri 15 ga qoldiqli bo’linadi?

A) 3105 B) 6525 C) 6130 D) 4620

15. Proporsiyaning dastlabki uchta hadining yig’indisi 78 ga teng. Uning ikkinchi hadi birinchi hadining qismini, uchinchi hadi esa qismini tashkil etadi. Proporsiyaning uchinchi hadini toping.

A) 18 B) 12 C) 24 D) 36

16. k ning qanday qiymatida y = kx + 2 funksiyaning grafigi A(-4;14) nuqtadan o’tadi?

A) -1 B) -2 C) -3 D) -6

17. > tengsizlikni yeching.

A) (1;3) B) (-3;1) C) (2;4) D) (-1;3)

18. Agar va F(1) = 4 bo’lsa, F(x) ni toping.

A) 4 + sin1 – sinx B) 4 – cos1 + cosx
C) 4 + sin1 + sinx D) 4 + cos1 – cosx

19. bo’lsa, ni orqali ifodalang.

A) B) C) D)
20. Teng yonli uchburchakning uchidagi burchagi . Asosidagi burchklarning bissektrisalari kesishishidan hosil bo’lgan o’tkir burchakni toping.
A) B) C) D)

21.Doiraga tashqi chizilgan teng yonli trapetsiyaning asoslari 32 va 8 ga teng. Shu doiraning yuzini toping.

A) B) C) D)
22. To’rtburchakli muntazam prizma asosining yuzi 169 sm², balandligi sm. Shu prizmaning diagonalini toping.
A) 21 B) 23 C) 27 D) 22

23. Tomonlari 3 va 4 ga teng bo’lgan to’g’ri to’rtburchak o’zining katta tomoni atrofida aylanadi. Hosil bo’lgan jismning to’la sirtini toping.

A) B) C) D)

24. funksiya k ning qanday qiymatida o’zgarmas bo’ladi?

A) -2 B) -3 C) -1,5 D) -1

25. tenglamani yeching.

^A)
B) , C)
D) ,

26. Bog’dagi daraxtlarning 60% i teraklar. Qolgan daraxtlarning 70% i chinorlar bo’lsa, boshqalari tollar.bog’dagi daraxtlarning necha foizini tollar tashkil etadi?

A) 18 B) 12 C) 24 D) 28

27. va funksiyalarning grafiklari k ning necgta butun qiymatlarida kesishmaydi.

A) 2 B) 12 C) 4 D) 11

28. Qisqarmaydigan oddiy kasrning maxraji suratidan 18 taga ko’p. Agar kasrning kasrning suratiga 379 ni, maxrajiga 1 ni qo’shsak, berilgan kasrga teskari kasr hosil bo’ladi. Berilgan kasrning maxrajini toping.

A) 19 B) 17 C) 14 D) 13

29. = tenglamaning nechta natural qiymatida ildizga ega emas.

A) 7 B) 5 C)8 D) 28

30. To’g’ri burchakli uchburchakning gipotenuzasi 25 sm, katetlaridan birining gipotenuzadagi proyektsiyasi 23,04 sm. Ushbu uchburchakka ichki chzilgan aylananing radiusi necha sm?

A) 2,5 B) 3 C) 1,5 D) 2

31. Asoslari 12 va 16 ga teng bo’lgan teng yonli trapetsiyaning diagonallari o’zaro perpendikulyar. Trapetsiyaning yon tomonini toping.

A) 14 B) 20 C) 10 D) 10

32. Agar vektor =3 -2 + vektorga kollenear va a =28 bo’lsa vektorning uzunligini toping.

A) B) 14 C) 2 D)

33. 1-cos2x > sin 2x tengsizlikni yeching.

A)( +2 k; +2 k), k Z
B) ( + k; + k), k Z
C) (- + k; + k), k Z
D) ( + k; + ;), k Z
34. 3 +3 >84 tengsizlikni yeching.
A) ( ; 0) B) (0; 1) C) ( 1; ) D) (0;1) (1; )
35. Diagonnallari orqali ikkita muntazam uchburchakka ajraladigan rombga ichki chizilgan aylananig radiusi ga teng. Rombning yuzini toping.
A) 4 r B) 2r C) 4r D)
36. Konusning o’q kesimi muntazam uchburchakdan, silindrniki esa kvadratdan iborat. Agar ularning hajmlari teng bo’lsa, to’la sirtlarining nisbati nimaga teng.
A) B) C) D) 3 : 2