Test 2006 : Variant

TEST 2006 : Variant 118 Matematika

1. 1 soat 160 minut 5 sekund necha sekunddan iborat?

A) 12205 B)106005 C)13205 D)14205
2. ning qiymatini toping.
A) B) C) D)0,04
3. ni qisqartiring.
A) -x B) x C)x D)x-y
4.(x-1)(2-x)+(x-3) ko’phadni standart shaklga keltiring.
A) 3x +15x+7 B)-3x+7 C)12x+4-x D) 9x+7
5. (2x-1)(x-1,5)=0 bo’lsa ,2x-1 qanday qiymatlarni qabul qiladi?
A) faqat - B)2 yoki 0 C)0 yki 1,5 D) 0 yoki -
6. x tenglamaning ildizlaridan biri -14 ga teng .Uning ikkinchi ildizini toping.
A) 27 B) -1 C)-27 D) 1
7. tengsizlikni yeching.
A) B) C) D)
8. 0,(7) +0,(5) - ning qiymatini toping.
A) B) 1 C) 1 D) 1
9. ( ) ni hisoblang .
A) B) 3 C) 15 D) 5
10. Ikkita to`g`ri chiziqning kesishishidan hosil bo`lgan qo`shni burchaklarning ayirmasi 50 gat eng .Shu burchaklarning kichigini toping.
A) 65 B) 60 C) 70 D) 50
11. Quyidagi mulohazalardan qaysilari noto`g`ri?
1) tomonlari a,b va c bo`lgan uchburchakka ichki chizikgan aylananing raduisi r= formula bilan hidoblanadi.
2) tomonlari a va b ga , ular orasidagi burchaklardan biri gat eng bo`lgan parallellogramning yuzi S= absin formula bilan hisoblanadi;
3) o`xshash figuralar yuzlarining nisbati ularning mos chiziqli o`lchovlarining nisbatiga teng.
A) 2;3 B) 1;2 C) 1;2;3 D) 1;3
12. Tekislikka tushirilgan o`gmaning uzunlagi 75 ga ,uning tekislikdagi proyeksiyasi esa 72 ga teng .Og`ma va tekislik orasidagi burchakni toping.
A) arccos B) arcsin C) arcsin D) arcsin
13. ni soddalashtiring.
A) tg2 B) 2ctg2 C) ctg2 D) 2sin2
14.24 sonining barcha natural bo`luvchilari yig`indisini toping.
A) 48 B) 60 C) 124 D) 108
15. 5 ni hisoblang.
A) 11 B) 10 C) 19 D) 11
16. f(-2)=5 va f(2)=3 shartni qanoatlantiruvchi chiziqli funksiyani aniqlang.
A) f(x) =2x-1 B) f(x) = x+4 C) f(x) =- x+4 D) f(x) =2x+1
17. 23-2x tengsizlikni yeching.
A) B) C) D)
18. integralni hisoblang.
19. log tengsizlikni yeching.
A) B) C) D)
20.Uchburchakning asosiga tushirilgan medianasi uni perimetrlari 18 va 24 teng bo`lgan ikki uchburchakka ajraldi.Berilgan uchburchakning kichik yon tomoni 7 ga teng .Uning katta yon tomonini toping.
A) 12 B) 10 C) 13 D) 14
21.To`g`ri to`rtburtchakning katta tomoni 13 ga, diagonallarining kesishgan nuqtasidan katta tomonigacha bo`lgan masofa 3 ga teng .To`g`ri to`rtburchakning yuzini toping.
A) 78 B) 96 C) 72 D) 48
22. Muntazam to`rtburchakli piramidaning balandligi 24 sm, apofemasi esa 26 sm.Piramida asosining perimetrini toping.
A) 48 B) 40 C) 80 D) 96
23. Yasovchisi 26 ga va balandligi 10 teng bo`lgan konus asosining yuzini toping.
A) 144 B) 144 C) 576 D) 288
24. (2+cos ifodaning eng kichik qiymatini toping.
A) 1,5 B) 2,5 C) 3 D) 2
25. sin5x tenglamaning ildizlarini ko`rsating.
A) B) C) (-1) D)-
26. 520 soni shunday iki bo`lakka bo`linganki ulardan birining 80%i ikkinchisining 24%ini tashkil qiladi.Bo`laklarni kichigini toping.
A) 120 B) 400 C) 460 D) 420
27. f(x)= funksiyaning eng katta qiymatini toping.
A) 1,5 B) C) 2 D) 3
28. Qisqarmaydigan oddiy kasrning maxraji suratidan 18 taga ko`p . Agar 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. Agar x tenglamaning ildizlari x va x x ning qiymatini toping.
30. To`g`ri burchakli uchburchakka ichki va tashqi chizilgan aylanalar radiuslarining nisbati 4:13 kabi.Kichik katet uzunligining katta katet uzunligiga nisbatini toping.
A) 5:12 B) 3:4 C) 4:13 D) 5:13
31.M(x,y) nuqtaning koordiniatakari yig`indisi 6 ga teng.BU nuqta va koordinat boshi orasidagi eng qisqa masofa qanchaga teng bo`ladi?
A) 2 B) 3 C) 4,5 D) 1,5
32. Agar vector vektorga kolliniar va vektorning uzunligini toping.
A) B) 14 C) 2 D)
33. tengsizlik x ning (0; ) oraliqqa tagishli qanday qiymatida o`rinli bo`ladi?
A) B) C) D)
34. tengsizlikning butun sonlardan iborat nechta yechimi bor?
A) 1 B) yechim yo`q C) 3 D)2
35. Doiraga ichki chizilgan ucburchakning bir tomoni uning diametriga teng.Doiraning yuzi 289 ga uchburchak tomonlaridan birining uzunligi 30 ga teng . Shu uchburchakka ichki chizilgan doiraning yuzini toping.
A) 36 B) 16 C) 20 D) 64
36. Sharga konus ishki chizilgan. Konusning yasovchisi asosining diametriga teng.Shar hajmining konus hajmiga nisbatini toping.
A) 8:3 B) 32:9 C) 27:4 D) 16:9