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@ALPHRAGANUS MATEM2019 020819131511
JIZZAX-2019
@alphraganus – matematik kanal 1.08.2019 MATEMATIKA UU/4
xonali 𝑎𝑏𝑐𝑑𝑒𝑓 soni 6 ga bo’linsa, 𝑎+𝑏+𝑐+𝑑+𝑒+𝑓 𝑓 ifodaning eng katta qiymatini toping. 𝐴)17 𝐵)18 𝐶)19 𝐷)20
2. Hisoblang. 3 √8 − √5
+ 3 √2 − √5 − 1 𝐴)√3 − 1 𝐵)√2 − 1 𝐶)2√2 + √3 𝐷)2√2 − √3
3. Kasrni qisqartiring. 10 𝑛+1
− 10 𝑛 10 𝑛+1 + 10
𝑛
𝐴) 9 11 𝐵) 11 9 𝐶) 10 9 𝐷) 9 10
4. Ifodani soddalashtiring. 4𝑎 2
𝑎 + 3 : (𝑎 − 2) 2 −𝑎 2 + 9
𝐴)6 − 2𝑎 𝐵)12 − 4𝑎 𝐶)4𝑎 − 12 𝐷)2𝑎 − 12
5. |5𝑥 − 26| = 𝑥 2 + 2𝑥 + 8 tenglamaning haqiqiy
ildizlari yig’indisini toping. 𝐴) − 7 𝐵) − 3 𝐶)3 𝐷)7
6. Agar 𝑎 va 𝑏 sonlar yig’indisi 5 ga qoldiqsiz bo’linsa, 3𝑎 + 2𝑏 ni 5 ga bo’lgandagi qoldiqni toping 𝐴)0 𝐵)2 𝐶)1 𝐷)4
7. Sayyoh belgilangan yo’lning 1 6 qismini bosib o’tgach, yo’l yarmigacha yana 16 km qolgan bo’lsa, belgilangan yo’l uzunligini toping (km). 𝐴)48 𝐵)42 𝐶)54 𝐷)36
8. Integralni hisoblang. ∫ (2𝑥 − 1) cos(𝑥 2 − 𝑥 + 1) 𝑑𝑥 1 0
𝐴) − 2𝑠𝑖𝑛1 𝐵)2𝑠𝑖𝑛1 𝐶)0 𝐷)𝑠𝑖𝑛1
9. (𝑥 + 1)(|𝑥| − 1) ≥ 2 tengsizlikni yeching. 𝐴)(−∞; 0] ∪ [√3; ∞) 𝐵)(−∞; −√3] ∪ [√3; ∞) 𝐶)[√3; ∞) 𝐷)(−∞; −√3] 10. 28 ta o’quvchidan 3𝑥 + 1 tasi rus tilini, 2𝑥 − 1 tasi ingliz tilini. 𝑥 − 1 tasi rus tilini ham, ingliz tilini ham biladi. 3 tasi esa rus tilini ham, ingliz tilini ham bilmaydi. Nechta o’quvchi ingliz tilini biladi? 𝐴)12 𝐵)10 𝐶)11 𝐷)19
11. Hisoblang. 0,429 0,03
+ 0,128
0,08 + 0,0096 0,012
𝐴)1,67 𝐵)16,7 𝐶)2,39 𝐷)23,9 12. 2 ta turli lavozimga nomzodlari ko’rsatilgan 7 kishidan 2 kishini necha xil usul bilan saylash mumkin? 𝐴)49 𝐵)35 𝐶)56 𝐷)42
13. To’g’ri konusning balandligi 9 cm va asos radiusi 5 cm. Uning yon sirtida joylashgan asosining markaziga eng yaqin bo’lgan nuqtalardan asosiga parallel tekislik o’tkazilgan. Hosil bo’lgan kesik konusning kichik asosi radiusini (cm) toping. 𝐴) 53
𝐵) 221
56 𝐶)
405 106
𝐷) 45 14
14. 120000 so’mning 15%i
uy harajatlariga, 2 3
qismi boshqa
harajatlarga sarflandi. Qolgan pulning 20%ini toping (so’m). 𝐴)4150 𝐵)4400 𝐶)4650 𝐷)4200
15. Agar 𝑎 = 16 − 𝑥 2 , 𝑏 = 𝑥
2 − 4 va 𝑎, 𝑏 ∈ 𝑁 bo’lsa, 𝑎 2 + 𝑏 2 eng kichik qiymatini toping. 𝐴)96 𝐵)108 𝐶)74 𝐷)72
16. Parallelogrammning tomonlari 12 va 16, o’tmas burchagi 150 ° ga teng. Barcha burchaklarining bissektrisalari o’zaro kesishib, to’g’ri to’rtburchak hosil bo’lgan. Shu to’g’ri to’rtburchakning yuzini toping. 𝐴)4 𝐵)6 𝐶)12 𝐷)8
17. Hisoblang. −(−3,8) + (−6,2) − (−2,8 + (−8,4)) 𝐴)8,8 𝐵)13,6 𝐶) − 1,2 𝐷) − 13,6
18. Ikkita to’g’ri chiziqning kesishishidan hosil bo’lgan
burchaklardan uchtasining yig’indisi 225 ° ga teng JIZZAX-2019
@alphraganus – matematik kanal bo’lsa, shu burchaklardan kattasining gradus o’lchovini aniqlang. 𝐴)125
° 𝐵)145 ° 𝐶)135 ° 𝐷)115 °
19. Teng yonli uchburchakning perimetri 64
cm ga
teng. Agar
teng tomonlarining o’rtalarini tutashtiruvchi kesma uzunligi 12 cm bo’lsa, uchburchakka ichki chizilgan aylana diametrini (cm) toping. 𝐴)9 𝐵)6 𝐶)12 𝐷)8
20. Rasmda 𝑓(𝑥) = 𝑘𝑥 + 𝑏 funksiyaning grafigi tasvirlangan. 𝑓(2) + 𝑓(0) ning qiymatini toping.
𝐴)20 𝐵)16 𝐶)12 𝐷)18 21. 𝐴 = {1; 4; 5; 7; 8}, 𝐵 = {1; 2; 3; 5; 8; 9; 10; 11; 12}, 𝐶 = {𝑎; 𝑏; 𝑐; 𝑑; 𝑓} to’plamlar berilgan bo’lsa, 𝑛((𝐵 ∖ 𝐴) ∪ 𝐶)ni toping. 𝐴)12 𝐵)10 𝐶)11 𝐷)9
22. Silindr o’q kesimining diagonali 15 ga, balandligi 12 ga teng bo’lsa, asosi radiusini toping. 𝐴)4,5 𝐵)2√3 𝐶)3√2 𝐷)9
23. 𝑎 1 = 2, 𝑎
𝑛 = 2
𝑛 ∙ 𝑎
𝑛−1 − 2 rekkurent formula bilan
berilgan ketma-
ketlikning 4-hadini toping. 𝐴)732 𝐵)730 𝐶)734 𝐷)736
24. 𝑥 2 − (𝑏 + 2)𝑥 + 𝑏 − 4 = 0 tenglamaning ildizlaridan biri 𝑏 ga teng bo’lsa, 𝑥 1 2
2 2 ning qiymatini toping. 𝐴)16 𝐵)20 𝐶)18 𝐷)12
tenglik o’rinli va 𝑃(𝑥 − 2) ko’phadni 𝑥 − 6 ga bo’lganda qoldiq 2 ga teng bo’lsa, 𝑄(1) ning qiymatini toping. 𝐴) − 3 𝐵)1 𝐶)0 𝐷) − 4
26. 𝑠𝑖𝑛 𝜋 7 + 𝑠𝑖𝑛 17𝜋 21 − 𝑠𝑖𝑛 11𝜋 21 + 1 ifoda qiymatini toping. 𝐴)2 𝐵)1 𝐶)0 𝐷) − 1
27. Quyidagi 𝑘(𝑘 + 1)𝑥 = 𝑘 + 4(3𝑥 + 1) tenglama yechimga ega bo’lmaydigan 𝑘 ning qiymatini toping. 𝐴)3 𝐵)6 𝐶) − 4 𝐷)8
28. 𝑎 va 𝑏 ratsional sonlar uchun 𝑎 + √3 3 𝑏 = 4√3 tenglik o’rinli bo’lsa, 𝑎 2 + 𝑏 2 ning qiymatini toping. 𝐴)121 𝐵)144 𝐶)169 𝐷)125
29. Hisoblang. ∫ (𝑥 − 8) 7 𝑥𝑑𝑥 9 8
𝐴) 10 9 𝐵)0,1 𝐶) 10 3 𝐷) 5 3
30. 𝑏 ning qanday qiymatlarida 𝑦 = 5𝑥 + 𝑏 funksiya kamayuvchi bo’ladi? 𝐴)𝑏 > 0 𝐵)𝑏 < 0 𝐶)𝑏 = 0 𝐷)ℎ𝑒𝑐ℎ 𝑞𝑎𝑛𝑑𝑎𝑦 𝑞𝑖𝑦𝑚𝑎𝑡𝑙𝑎𝑟𝑖𝑑𝑎
JIZZAX-2019
@alphraganus – matematik kanal 1 B 2 B 3 A 4 B 5 A 6 A 7 A 8 C 9 C 10
C 11
B 12
C 13
C 14
B 15
C 16
A 17
A 18
C 19
B 20
A 21
C 22
A 23
C 24
B 25 D
26 B 27 A 28
B 29
A 30 D
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