1. Hisoblang
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MATEMATIKA1
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MATEMATIKA
1
|5 − 3|8 − 2|+5|6 − 2| + 9| |3 − 3|1 − 5|| + 7
A)
9 16 B) 1 C) 17 16 D) 2 2. 2017 ∙ 2018 ∙ 2019 ∙ 2020 + 1 soni qaysi sonning kvardati bo’la oladi? A)
2017 ∙ 2020 + 1 B) 2018 ∙ 2019 + 1 C) 2019 ∙ 2020 + 1 D) 2018 ∙ 2020 + 1 3. 0,002
200 sonini taqribiy hisoblang. A) 0,4 B) 0,2 C) 0,002
200 D) 0
4𝑥 3 + 3𝑥 2 + 2𝑥 + 1 = 0 tenglamaning haqiqiy ildiz(lar)i yotgan oraliqni toping A) (-2;-1,5) B) ( −3 4
C) ( −3 2 ;-1) D)(-1,(3);-1)
kimning gapi rostligini toping.
Ali: Vali aytgan barcha gap yolg’on. Vali: Ali aytadigan barcha gap yolg’on A) Ali B) Vali C) Ikkisinikiham yolg’on D) Ikkisinikiham rost
𝑓(𝑥) = 2019𝑥 2 + 2020𝑥 funksiya grafigi qaysi choraklardan o’tadi? A) I,II,III B) II,III,IV C) I,II,III,IV D) II,III
almashtirish … A) gomotetiya B) harakat C) simmetriya D) burish
(1 + 𝑛 + 1 𝑛 ) 4 ifoda yoyilmasining ozod hadini toping. A) 9 B) 12 C) 17 D) 19
𝑦 = √12 + 4𝑥 − 𝑥 2 egri chiziq uzunligini toping. A)
16𝜋 B) 8𝜋 C) 6𝜋 D) 4𝜋
( 3 + 2 √5
4 3 − 2 √5
4 ) 1 4 ∙ √5 4 − 1
√5 4 + 1 A) 2 B) 1 C) √5 D) √2
𝑎 = 𝑠𝑖𝑛1,5; 𝑏 = 𝑙𝑜𝑔 3 √9,001; 𝑐 = 2 −√𝜋
𝑎 < 𝑐 < 𝑏 B) 𝑐 < 𝑎 < 𝑏 C)
𝑐 < 𝑏 < 𝑎 D) 𝑏 < 𝑐 < 𝑎
elementli qism to’plamlari soniga teng bo’lsa bu to’plamning eng ko’pi bilan 3 elementli qism to’plamlari sonini toping. A) 160 B) 240 C) 120 D) 60
ketma-ket sonlar yozilgan qog’ozlarni yirtib tashladi, natiyjada qolgan sonlarning yig’indisi 1615 bo’lsa, n sonining mumkun bo’lgan qiymatlari yig’indisini toping? A) 72 B) 74 C) 70 D) 68
necha
𝑐𝑚 2 ? Buyerda | FI| =
1 3 ∙ |IE| , |FE| = 6 𝑐𝑚 A)
18√3 B) 18√2 C) 12√3 D) 12√2
15. √𝑥 2 + 2𝑥 + 4 + √𝑥 2 − √3𝑥 + 1 ifodaning olishi mumkin bo’lgan qiymatlari orasida eng kichigi nimaga teng?
A) √3 + 0,5 B) √7 C) 3,2 D) √10
𝑃(𝑥) = 𝑥 10 + 𝑎𝑥 + 𝑏, (𝑎, 𝑏 ∈ 𝑅) ko’phad (𝑥 − 1) 2 ga qoldiqsiz bo’linsa 𝑃(−1) ni toping. A) 0 B) 8 C) 4 D) 20
MATEMATIKA
2
𝑛 ning nechta qiymatida o’rinli: (𝑛 + 1)!
(𝑛 − 4)! ∙ (𝑛 − 2) = 0
A) 5 B) 4 C) 2 D) 0
𝑓(𝑥) = 𝑎𝑟𝑐𝑠𝑖𝑛𝑥
𝑥 funksiyaning kamayish oralig’i uzunligining yarmini ko’rsating. A)
1 B) 0,5 C) 0,25 D) 0,75
∫ 𝑥 3
′ 𝑑𝑥 1 0
A) 𝑎𝑟𝑐𝑡𝑔2 − 1 B) 1−𝑙𝑛2
2 C) 𝑎𝑟𝑐𝑡𝑔2 2
20. Berilgan funksiyalardan (kamida ikkita funksiyadan) foydalanib nechta uzluksiz funksiya hosil qilish mumkun? 𝑓(𝑥) = 𝑥 𝑔(𝑥) = 1
ℎ(𝑥) = 𝑎𝑟𝑐𝑠𝑖𝑛𝑥 A) 3 B) 4 C) 5 D)6
4𝑥4 katakni bir butun deb hisoblab uning egallashi mumkun bo’lgan o’rinlari sonini aniqlang.
A) 26 B) 30 C) 22 D)34 22. 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0, (𝑎, 𝑏, 𝑐 ∈ 𝑅) ushbu kvadrat tenglamaning [0;2] oraliqda ikkita ildizi bo’lsa 𝑓 = 8𝑎 2 −6𝑎𝑏+𝑏 2 4𝑎 2 −2𝑎𝑏+𝑎𝑐
ning eng katta qiymatini toping.
A) 3 B) 0 C) 1.8 D) 𝑐𝑜𝑠
2 𝑐 + 𝑠𝑖𝑛
2 𝑐
23. Keltirilganlardan qaysi(lar)i darajaga ega bo’lmagan ko’phad-funksiya(lar) hisoblanadi? 𝑆(𝑥, 𝑦) = 𝑥 + 𝑦
3𝑥 + 𝑦
𝑄(𝑥) = 0 𝑃(𝑥) = 1 A) 𝑄(𝑥) B) 𝑃(𝑥) C) 𝑃(𝑥); 𝑄(𝑥) D) 𝑆(𝑥, 𝑦)
3 kishilik guruhda eng kamida 2 ayol bo’lishi ehtimolini toping. A)
12 35 B) 5 7 C) 13 35 D) 6 7
25. cos(10𝑎𝑟𝑐𝑡𝑔𝑥) = 1 tenglama nechta ildizga ega? A) 1 B) 3 C)5 D) Cheksiz ko’p
𝑝 hodisaning alohida 𝑥 − “vaqt” bo’yicha natiyjalari keltirilgan. 𝑝 hodisaning variyantalar sonini toping.
A) 3 B) 5 C) 7 D) 9
ikkita o’suvchi ketma-ketlikdan iborat. “+” taraf “+S”,
21 ga teng bo’lsa shu kesma oralig’ida barcha bo’yalgan soha yuzasi qiymatini hisoblang.
A) 2 21 −19 2 B) 2 20
2
C) 2 20 − 191 D) 2 21 − 19 28. R radiyusli aylanaga tashqi chizilgan teng yonli trapetsiya asoslari 𝑥 2
yechimlari bo’lsa, aylana radiyusini aniqlang. A) 4,5 B) 3 C) 1,5 D) 1
𝑚 ⃗⃗ va 𝑛⃗ vektorlar 𝛼 = 30° burchak tashkil etsa va 𝑚 ⃗⃗ ∙ 𝑛⃗ = √3 bo’lsa, ularga qurilgan uchburchakning yuzini hisoblang. A)
3 2 B) 1 2 C) √3 4 D) √3 2
30. Muntazam beshburchakka ichki va tashqi chizilgan aylanalar nisbati qanday?
A)
√5−1 4 B) 4 √5−1
C) √5+1
4 D) 4 √5+1
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