A” matematika(inf). Maxsus test.№7

“A” MATEMATIKA(INF).
MAXSUS TEST.№7
1. ni hisoblang.
A) B) C) D)

2. F(0;1) nuqtani (π+2 π+3 π+…+

+2016 π+2017 π) burchakka burishdan hosil bo’lgan nuqtaning kordinatasini toping.
A) F’(1;0) B) F’(0; )
C) F’(-1;0) D) F’(0;-1)

3. Burgut 10 km uzoqlikdagi o’ljasini ko’rishga qodir. 6 km balandlikda parvoz qilayotgan burgut yer yuzasida qanchga maydondagi o’ljasini kuzata oladi?

A) 64 π B) 16 π
C) 36 π D) 100 π

4. n+S(n) = 125 shartni qanoatlantiruvchi n(nϵN) ning natural bo’luvchilari sonini toping.

A) 2 B) 3 C) 4 D) 5

5. tengsizlikni yeching.

A) (4;∞) B) (2;4)
C) (–∞;2)∪(4; ∞) D) ∅

6. Soddalashtiring. Ctg15°+ Ctg30° + +Ctg45°+….+ Ctg150°+ Ctg165°.

A) –1 B) 0 C) 1 D) aniqlab bo’lmaydi

7. tenglamaning ildizlari yig’indisini toping.

A) 0 B) 1 C) 2 D) 3

8. y=tg( +ctg(

funksiyaning eng kichik musbat davrini toping.
A) 2017π B) 2018 π
C) 2019 π D) 2020 π

9. x so`mga yasalib, y so`mga sotilgan bir buyumni yasash va sotish narxlari orasida y=3x–386 munosabat o’rinli bo’lsa foyda qilish uchun x ning eng kichik butun son qiymati qancha bo’lishi kerak?

A) 129 B) 184 C) 185 D) 194

10. i²+j²+k²=2024 tebglikni qanoatlantiruvchi sonlar uchun (i+j+k)_max ni toping.

A) 44 B) 46 C) 48 D) 50

11. 1,2,2,3,3,3,4,4,4,4,5,… ketma-ketlikning dastlabki 100 hadi yig’indisini toping.

A) 755 B) 845 C) 924 D) 945

12. tengsizliklar majmuasi nechta butun yechimga ega?

A) 16 B) 19 C) 21 D) 22
13. f ‘(x)= , f (ln3)=0 bo’lsa, f(x) ni toping.
A) –3e^–x +1 B) 3e^–x +1
C) –3e^–x +2 D) 3e^–x +2

14. Ko’phadning ozod hadini toping.

F(x)=(2x+1)² ∙ (3x+2)³ ∙ (x-1)²⁰¹⁸+(x-1)²⁰²⁰+17
A) 17 B) 26 C) 2017 D) 9

15. y=ln³x funksiya grafigi berilgan bo’lib, uni parallel ko’chirish yordamida y=ln³(x–a)+b funksiya grafigi hosil qilingan. Bunday parallel ko’chirishda kordinata boshi qanday nuqtaga ko’chadi? Bunda x>a, x>0.

A) G(a;b) B) G(b;a)
C) G(a;–b) D) G(–a;b)
16. GRAND o’quv markazida ikki nafar matematika va informatika, ikki nafar fizika, ikki nafar ona tili va adabiyoti fani o’qituvchilari bor. Matematika yo’nalishiga hujjat topshiradigan GRAND o’quvchisining oldida uchta blok uchun necha xil holatda o’qituvchilar tanlash imkoniyati bor? (bitta fandan bitta o’qituvchida o’qiydi)
A) 6 B) 8 C) 10 D) 12

17. to’plamning qism to’plamlari soni bilan uni ikkita kesishmaydigan qism-to’plamlarga ajratish usullari soni yig’indisini toping.

A) 16 B) 32 C) 48 D) 64

18. Agar x=2 bo’lsa, ning qiymatini toping. (Bu yerda (a-b)(a-c)(b-c)≠0 )

A) 2 B) a,b,c ga bo’g’liq C) 1 D) 0

19. Har qanday (x₁;x₂) oraliq uchun y=f(x) funksiya hosilasi musbat bo’lsin. (x₁;x₂) oraliqqa tegishli ixtiyoriy a va b (a>b) uchun qanday tengsizlik o’rinli?

A) f(a)≤f(b) B) f(b)C) f(a)

20. [2x–1]=x tenglama yechimlari yig’indisini toping. ([a]–a sonning butun qismi)

A) 1 B) aniqlab bo’lmaydi
C) 3 D) 2

21. ABC uchburchakning AB, BC, CA, tomonlarida mos ravishda shunday M,N,P nuqtalar olinganki AM:AB=BN:BC=CP:CA=1:3 munosabat o’rinli. MNP uchburchak yuzi 5 ga teng bo’lsa, ABC uchburchak yuzini toping.

A) 25 B) 20 C) 15 D) 10

22. Radiusi 3 ga teng bo’lgan aylanaga ichki chizilgan uchburchakning 30° li burchagi qarshisidagi tomon uzunligini toping.

A) 3 B) 6 C) 2 D)

23. ABCD teng yonli trapetsiyaning AC diagonali 8 ga teng va AD katta asos bilan 15°li burchak tashkil etadi. Trapetsiyaning yuzini toping.

A) 8 B) 20 C) 16 D) 18

24. Tomonlari 6 va 8 bo’lgan to’g’ri to’rtburchak birlik kvadratchalarga bo’lingan. Uning diagonali birlik kvadratchalarning uchlari bo’lmish nuqtalarning nechtasidan o’tadi?

A) 0 B) 3 C) 2 D) 4
25. ABCD parallelogramm berilgan. M nuqta BD diagonalda yotadi. Bunda MD : BM = 2:1. Agar ADCM to’rtburchak yuzi 30 ga teng bo’lsa, ABCD parallelogramm yuzini toping.
A) 50 B) 60 C) 35 D) 45
26. Qanday uchburchakning balandliklari uning bir uchida kesishadi?
A) o’tkir burchakli B) to’g’ri burchakli C) o’tmas burchakli D) hech qanday

27. (2;5) va (–1;4) vektorlar berilgan. 2 +β vector vektorga perpendikulyar bo’ladigan β sonni toping.

A) B) C) – D)

28. Piramida asosi teng yonli to’g’ri burchakli uchburchakdan iborat. Barcha yon yoqlari asos tekisligi bilan bir xil burchak tashkil etadi. Piramida hajminig unga ichki chizilgan konus hajmiga nisbatini toping.

A) B) C) D)

29. Yarim sharga silndr shunday ichki chizilganki, silindrning bitta asosi yarim shar asosida yotadi. Agar silindr balandligining yarim shar radiusiga nisbati 4:9 kabi bo’lsa, silindr hajmining yarim shar hajmiga nisbatini toping.

A) B) C) D)

30. , va vektorlar + + =0 shartni qanoatlantiradi. Agar | |=1, | |=3, | |=4 bo’lsa,

∙ + ni hisoblang.
A) –26 B) 13 C) –13 D) 26

31. Ms Excel. =OCTAT(2;5)–

–ЗНАЧЕН(ЗАМЕНИТЬ(СЦЕПИТЬ(–23;6);1;1;3)) funksiyaning natijasini toping.
A) -3234 B) -3634
C) -3632 D) -3226

32. Paskal. Dastur natijasini aniqlang.

Var a, b, k: integer;
Begin Randomize; a:=1; k:=1;
Repeat b:trunk((k*random(k))/k);
a:=a*b; k:=k+1; until k>=6;
Write(a+b+k); readln; End.
A) natijani aniqlab bo’lmaydi
B) 40 C) 8 D) 16

33. Nashriyot tizimi(Sistema)larida qaysi dasturlar ishlatiladi?

A) Adobe Page Maker, MS Acces, MathCAD
B) Adobe Page Maker, Latex, Tex, Quark Xpress.
C) Adobe Page Maker, Latex, MS Word, MS Excel
D) Adobe Page Maker, Quark Xpress, MS Excel

34. Quyidagi mulohazalardan rost qiymatga egalarini aniqlang:

1) Axborot ikki turga bo’linadi,
2) Web-sahifalarni hosil qilsh vositasi-brauzerlar,
3) Plotter – chizmalarni qog’ozga chiqaruvchi qurilma,
4) WWW.UZ – milliy qidiruv tizimi emas.
A) 1, 3 B) 4, 2 C) 1, 4 D) 2, 3

35. Qaysi atamalar axborotni turlari hisoblanadi?

A) ishonchli, analog B) analog, diskret
C) diskert, qimmatli D) qisqa, foydali

36. Rost mulohazalarning mos sonlari yeg’indisini rim sanoq sistemasida hisoblang.

CCXLVIII – “Ob havo holati uzluksiz axborotga misol bo’ladi”
XCVII – “Inson uzluksiz ta’sir etib turuvchhi axborotlar analog axborotlar deb ataladi”
XLIX – “Axborot xususiyatlariga quyidagilar kiradi: hid, tovush, mimika”
A) CVLI B) CCCXCIV
C) CCVCII D) CCCVL

Har tongni hayoting boshlanishi,

Tunni esa yakuni deb bil!

O’tkirbek Sherg’oziyev