Matematika.
1.
𝑐𝑜𝑠3𝛼
𝑐𝑜𝑠𝛼
−
𝑠𝑖𝑛3𝛼
𝑠𝑖𝑛𝛼
ni soddalashtiring.
A) 2sin𝛼 B) 2 C) 2cos𝛼 D) –2
2
2. 𝑥 log0,3(𝑥 −3𝑥+2) < 𝑥 log0,3(𝑥−1) tengsizlik x
ning qanday qiymatlarida o’rinli?
A) (5; ∞) B) (3; ∞) C) ∅ D) (4; ∞)
10. 𝛼 = 30⁰, 𝑎 = (𝑡𝑔𝛼)𝑡𝑔𝛼 , 𝑏 = (𝑐𝑡𝑔𝛼)𝑐𝑡𝑔𝛼 ,
𝑐 = (𝑐𝑡𝑔𝛼)𝑡𝑔𝛼 bo’lsa, quyidagilardan qaysi
biri o’rinli?
A) b > a > c
B) a > c > b
C) c > b > a
D) b > c > a
11. Agar m = 64 bo’lsa,
log 7 ( 3
3.
0,64∙0,45−0,45
1,05−
A) 0,64
3
5
3
√𝑚+27
6
√𝑚−2 √𝑚−15
ni hisoblang.
B) 0,19
C) –3,6
ni hisoblang.
A) log 7 2
B) –1
D) –0,36
4. k ning qanday qiymatida
|𝑙𝑛(𝑥 + 15)| = −(𝑥 + 𝑘 + 4)2 tenglama
yechimga ega bo’ladi?
A) 14 B) –e C) –15 D) 10
5. To’rtta sonning yig’indisi 161 ga teng.
Ulardan dastlabki uchtasi 4, 5 va 8
sonlariga to’g’ri proporsional, birinchi va
to’rtinchi sonlar esa 6 va 4 sonlariga
teskari proporsional. Ikkinchi sonni
toping.
A) 35 B) 30 C) 45 D) 40
6. 𝑥 2 − 10𝑥 + 22 parabola uchining
koordinatalari ko’paytmasini toping.
A) –15
B) 15
C) 2
D) –2
7. Quyidagilardan qaysi biri Oxy tekislikka
nisbatan M (7; –3; 1) nuqtaga simmetrik
bo’lgan nuqta?
A) (–7; 3; –1)
B) (–7; 3; 1)
C) (7; –3; –1)
D) (7; 3; –1)
8. ||𝑥 − 4| − 7| > 5 tengsizlikning eng kichik
musbat va eng katta manfiy butun
yechimlari ayirmasini toping.
A) –6
B) 6
C) 12
D) –12
9. [200; 1000] kesmada 2, 3, 5 va 7
sonlariga bo’lganda qoldiq 1 ga teng
bo’ladigan natural sonlar nechta?
A) 2
B) 3 C) 4 D) 1
:
6
√𝑚−3 √𝑚+9
)
3
√𝑚−25
C) 0
D) 1
12.Qirralari 11, 13 va 17 bo’lgan
parallelopiped qirrasi 1 ga teng bo’lgan
kubchalardan tashkil topgan.
Parallelopipeddan 1 kubcha qalinligidagi
tashqi sirt olib tashlash uchun nechta
kubcha olinishi kerak?
A) 944
B) 511 C) 946 D) 513
1
1
1
1
2
3
7
𝑛
13. 𝑛𝜖𝑁 va + + + yig’indi butun son
bo’lsa, quyidagilardan qaysi biri noto’g’ri?
A) n soni 3 ga bo’linadi
B) n > 84
C) n soni 6 ga bo’linadi
D) n soni 2 ga bo’linadi
14.
(−𝑥 2 +𝑥−1)(𝑥 2 −3𝑥+2)
𝑥 2 −7𝑥+12
≥ 0 tengsizlikning
butun sonlardan iborat yechimlari nechta?
A) 1 B) 4
C) 3 D) 2
15. 𝑥 2 + 2√𝑥 2 + 6𝑥 + 13 = −6𝑥 − 5
tenglama ildizlarining yig’indisini toping.
A) –13 B) –6
C) –2
D) –3
16. y=9sin4𝑥-2sin18𝑥 funksiyaning hosilasini
toping.
A) 72𝑠𝑖𝑛7𝑥𝑠𝑖𝑛11𝑥
B) 72𝑠𝑖𝑛7𝑥𝑐𝑜𝑠11𝑥
C)−72𝑐𝑜𝑠7𝑥𝑠𝑖𝑛11𝑥 D) 72𝑐𝑜𝑠7𝑥𝑐𝑜𝑠11𝑥
17. Uchlari A(–3; 0), B(–1; 4) va C(3; 2)
nuqtalardan bo’lgan uchburchak qanday
uchburchak?
A) teng yonli
B) teng yonli to’g’ri burchakli
C) to’g’ri burchakli
D) teng tomonli
25. 𝑠𝑖𝑛4 𝑥 + 𝑐𝑜𝑠 4 𝑥 = 𝑐𝑜𝑠4𝑥 tenglama [0; 3𝜋]
kesmada nechta ildizga ega?
A) 4 ta
B) 5 ta C) 6 ta D) 7 ta
18. 𝐴(−3,5; 3,5) nuqtadan o’tuvchi va
𝑎⃗(3; 4,5) vektorga perpendikulyar
bo’lgan to’g’ri chiziq tenglamasini toping.
A) 2𝑥 + 3𝑦 − 3,5 = 0
B) 2𝑥 − 3𝑦 + 3,5 = 0
C) 2𝑥 + 3𝑦 + 3,5 = 0
D) 2𝑥 − 3𝑦 − 3,5 = 0
26. Quyidagilardan nechtasi antivirus dasturi
hisoblanadi?
Simphony; Friday 13; Aidstest;
DOPPIX; Black Hole.
A) 1 B) 2 C) 3 D) 4
19. 4𝑥 ∙ 𝑎𝑟𝑐𝑐𝑜𝑠 (𝑥 2 − 4𝑥 + 5) > 𝑥 2
tengsizlikni yeching.
A) {2}
B) (1; 5) C) (–2; 3)
D) ∅
20. |𝑥 2 − 5𝑎𝑥 | = 15𝑎 tenglama ikkita haqiqiy
yechimga ega bo’ladigan a ning natural
qiymatlari yig’indisini toping.
A) 4
B) 2
C) 3
D) 10
21. 𝑦 =
2𝑥
4𝑥−2
funksiyaning grafigiga 𝑥0 =1
o’tkazilgan urinma va koordinata o’qlari
bilan chegaralangan uchburchakning yuzini
toping.
A) 4/3 B) 1 C) 2 D) 4
22. Trapetsiyaning yon tomonlari 3 va 7 ga
teng. Shu trapetsiyaga aylana ichki
chizilgan. Trapetsiyaning o’rta chizig’i
uni yuzlarining nisbati 9 : 11 bo’lgan ikki
qismga ajratadi. Shu trapetsiyaning kichik
asosi uzunligini toping.
A) 2 B) 3 C) 4 D) 4,5
7
23. ∫−1
𝑥
√𝑥+2
A) 5
𝑑𝑥 aniq integralni hisoblang.
B)6
1
2
B)9
1
3
D) 10
24. 𝑓(𝑥) − to’g’ri chiziq funksiyasi.
𝑓(𝑥 + 2) − 𝑓 (𝑥 + 1) = 2 va
𝑓(2𝑥) + 𝑓 (𝑥 + 1) = 𝑐𝑥 + 4 bo’lsa,𝑓(𝑐 ) ni
toping.
A) 9
B) 11
C) 13
D) 15
27. A1 katakda SUPPER MATEMATIKA
jumlasi kiritilgan. Bu jumlani SUPER
MATEMATIKA jumlasiga o’zgartirish
uchun A2 katakka qanday formula kiritish
kerak?
A) =ЗАМЕНИТЬ(A1;3;2;”P”)+
ПСТР(A1;8;10)
B) =ЗАМЕНИТЬ(A1;3;2;”P”)
C) =ПСТР(A1;1;16)
D) = ПСТР(A1;3;2;”P”)+ЗАМЕНИТЬ
(A1;8;10)
28. p∨ ¬(𝑞 ∧ 𝑟) mantiqiy ifodaning qiymati
yolg’on bo’lsa, p, q va r ning qiymatlarini
toping.
A) aniqlab bo’lmaydi
B) 0, 0, 0
C) 1, 0, 0
D) 0, 1, 1
29. HTML gipermatnlash tilida quyidagi
ifodani yozish uchun qanday HTML
kodlari yozilishi kerak? 𝑥 3 − 2𝑥 2 + 1 = 0
A) <i>x<sup>3</sup>–2x<sup>
2</sup>+1<i/>=0
B) <i>x<sup>3</sup>–2x<sup>
2</sup><i/>+1=0
C) <i>x<sup>3</sup><i/>–2<i>x<sup>
2</sup></i>+1=0
D) <i>x<i/><sup>3</sup>–2<i>x</i>
<sup>2</sup>+1=0
30. Turbo Pascal tilida o’zlashtirish operatori
qanday yoziladi?
A) o’zgaruvchi:=ifoda
B) ifoda:=o’zgaruvchi
C) o’zgaruvchi=:ifoda
D) ifoda=:o’zgaruvchi