Test-2019 1-Variant
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2019 yil 30 ta lik variant
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- GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI
- 17 – Variant.
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16 – Variant.
1. Merganning bitta otgan o’qining nishonga tegishi ehtimoli 0,9 ga teng bo’lsa, otilgan uchta o’qning uchtasi ham nishonga tegishi ehtimolini toping. A) 0,27 B) 0,18 C) 0,243 D) 0,729
2. 2 𝑥(𝑥+3)
+ 2 (𝑥+3)(𝑥+6) + 2 (𝑥+6)(𝑥+9) ifodani soddalashtiring. A) 9
B) 2 3𝑥(𝑥+6) C)
6 𝑥(𝑥+9)
D) 2 𝑥(𝑥+6)
3. (1 + 𝑐𝑜𝑠 −1 𝛼 + 𝑡𝑔𝛼)(1 − 𝑐𝑜𝑠 −1 𝛼 + 𝑡𝑔𝛼)
ifodaning qiymatini 𝛼 = 30° da hisoblang. A)
1 √3 B) 2√3 C) √3 D) 2 √3
4. 𝐴 = {𝑥|𝑥 ≥ 4; 𝑥 ∈ 𝑁} ; 𝐵 = {𝑥|𝑥 < 13; 𝑥 ∈ 𝑄}
bo’lsa, 𝑛(𝐴 ∩ 𝐵) ni toping. A) 8 B) 9 C) 10 D) 11
5. Arifmetik progressiyada 𝑎 4 = 4
va 𝑎 𝑛+1 = 𝑎 𝑛 − 2 bo’lsa, progressiyaning dastlabki 12 ta hadi yig’indisini toping. A) -24 B) – 12 C) – 16 D) -18
6. Tengsizlikni yeching: (7 𝑥+1 −1)(2 𝑥 −4) 𝑥−2 > 0
A) (−1; 2) B) (−1; ∞) C) (−1; 2) ∪ (2; ∞) D) (−1; 2) ∪ (2; 4)
7. 𝑦 = ln 𝑥 𝑥
funksiyaning hosilasini toping.
A) ln 𝑥 + 1 B) ln 𝑥 − 1 C) ln(𝑥 + 1) D) ln(𝑥 − 1)
(𝑥 − 5) 2 ∙ 𝑓(𝑥) + 97𝑥 ni 𝑥 0 = 5 nuqtadagi hosilasini toping. A) 0 B) 5 C) 97 D) 485
9.
1 |𝑥|
= 8 𝑥 2 +3𝑥
tenglamani yeching. A) 5; 11 B) 11 C) 5 D) 9
10. (3𝑥 − 1) 2 ∙ (3𝑥 + 1) 2
ko’paytiring. A) 81𝑥
4 + 18𝑥
2 + 1
B) 81𝑥 4 − 1 C) 81𝑥
4 − 18𝑥
2 + 1
D) 81𝑥 4 + 1
11. ∫(𝑥 − 7) 6 ∙ 𝑥𝑑𝑥 integralni hisoblang. A)
(𝑥−7) 7 7 + (𝑥 − 7) 6 + 𝐶 B)
(𝑥−7) 8 8 + (𝑥 − 7) 7 + 𝐶 C)
(𝑥−7) 8 8 + (𝑥−7)
7 7 + 𝐶 D)
(𝑥−7) 6 6 + (𝑥 − 7) 5 + 𝐶
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 12. 3 ta merganning nishonga tekkazish ehtimoli 0,7; 0;6; 0;9 ga teng bo’lsa, birinchi va uchinchi merganlarning nishonga tekkizish,ikkinchisiniki tekmasligi ehtimolini toping. A) 0,378 B) 0,252 C) 0,748 D) 0,622
13. 𝑦 = 𝑥 2 + 𝑏𝑥 + 3
funksiyaning nollaridan biri – 1 ga teng bo’lsa, ikkinchi nolini toping. A) 4 B) 3 C) – 4 D) – 3
14. Chizmada 𝑦 = 𝑎𝑥 2 + 𝑏𝑥 + 𝑐
funksiya grafigiga 𝑥 0 = 3
nuqtasidan urinma o’tkazilgan. Berilganlarga ko’ra 𝑎 + 𝑐 ning qiymatini toping.
A) 1 3 B) 1 5 9 C) 1 D) 4 3
15. Matematika imtihonida o’quvchilarning 1 7 qismi “5” baho, 1 2 qismi “4” baho, “3” baho olganlar “5” baho olganlardan 4 ta ko’p. “2” baho olganlar 1 ta bo’lsa, “3” baho olganlar nechta? A) 6 B) 7 C) 9 D) 10
16. Ko’phadlarni ko’paytiring: (4𝑥 2 − 1 3 𝑦) ∙ (4𝑥 2 + 1 3 𝑦)
A) 16𝑥
4 − 8𝑥 2 3 𝑦 + 1 9 𝑦 2
B) 16𝑥 4 + 8𝑥 2 3 𝑦 + 1 9 𝑦 2
C) 16𝑥 4 + 1 9 𝑦 2 D) 16𝑥
4 − 1 9 𝑦 2
17. (𝑥 2 + 4𝑥 + 1) ∙ (𝑥 2 + 3𝑥 + 1) = 20𝑥 2
tenglama nechta turli haqiqiy ildizga ega? A) 1 B) 2 C) 3 D) 4
18. 𝑦 = 6𝑥 − 17 chiziqli funksiyaning 𝑦 = 𝑥 to’g’ri chiziqqa nisbatan simmetrigini toping. A) 𝑦 =
1 6 𝑥 − 17 6 B) 𝑦 = 1 6 𝑥 + 17 C) 𝑦 =
1 6 𝑥 + 17 6 D) 𝑦 = 1 6 𝑥 − 17
19. 𝑙𝑜𝑔 2 14 𝑙𝑜𝑔 56 2 − 𝑙𝑜𝑔
2 7 𝑙𝑜𝑔 28 2 − 3 ni hisoblang. A) 𝑙𝑜𝑔
2 7 B) −𝑙𝑜𝑔 2 7
C) −2𝑙𝑜𝑔 2 7 D) 2𝑙𝑜𝑔 2 7
20. 180 ning 45%i bilan 40 ning 25%iga teng sonlarning ko’paytmasini toping. A) 900 B) 990 C) 810 D) 720
21. Qirrasi 12 ga teng bo’lgan tetraedrning hajmini toping. A) 144√3 B) 144√2 C) 288√3 D) 288√2
22. O’q kesimi muntazam uchburchak bo’lgan konusning to’la sirti yuzi S ga teng bo’lsa, uning asosini yuzini toping. A) 𝑆
B) 𝑆 3 C)
2𝑆 3 D) 𝑆 4
23. Uchlari va yoqlari yig’indisi 40 ga teng bo’lgan piramidaning asosining diogonallari sonini toping. A) 225 B) 152 C) 400 D) 171
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 24. To’g’ri silindrning asosi radiusi 5 cm, balandligi 9 cm. Yon sirtidan A va B nuqtalar olingan. A va B nuqtalardan asos tekisligigacha bo’lgan masofalar mos ravishda 3 cm va 6 cm. Agar AB kesma uzunligi 7 cm bo’lsa, silindr o’qidan AB kesmagacha bo’lgan masofani toping. A) 2√5 B) 2√3 C) √15 D) √13
25. ABCD parallelogramda BC va AD tomonlari o’rtalarida mon ravishda M va N nuqtalar olingan. AM va CN kesmalar BD dioganalni mos ravishda P va Q nuqtalarda kesib o’tadi. Agar DNQ uchburchak yuzi 18 ga teng bo’lsa, ABD uchburchakning yuzini toping. A) 86 B) 108 C) 122 D) 140
A) 3 B) 6 C) 8 D) 9
27. Soatning soat mili 26° ga burilsa, minut mili necha gradusga buriladi? A) 242° B) 272° C) 312° D) 328°
28. O’n burchakli piramidaning nechta qirrasi bor? A) 10 B) 20 C) 30 D) 11
29. To’g’ri konusning balandligi 5 cm va asos radiusi 3 cm. Uning yon sirtida joylashgan asosining markaziga eng yaqin bo’lgan nuqtalar orqali tekislik o’tkazilgan. Hosil bo’lgan kesik konusning kichik asosining yuzining katta asosi yuziga nisbatini toping. A) 15
B) 25 34 C) 625
1156 D) 112 289
30. Qavariq to’qqizburchakning nechta diogonali bor? A) 72 B) 36 C) 18 D) 27
1. Valida 3 ta matematika va 2 ta fizika kitoblari bor. Vali matematika va fizika kitoblarning yonma-yon bo’lishi sharti bilan bu 5 kitobni javonga jami necha xil usulda joylashtirishi mumkin? A) 6 B) 12 C) 18 D) 9
2. 240 ning 20%i bilan 48 ning 25%iga teng sonlarning ko’paytmasini toping. A) 480 B) 528 C) 576 D) 676
3. 𝑓(𝑥) = 20𝑡𝑔𝑥 − 20𝑥 + 5𝜋 + 8 funksiyaning [− 𝜋 4 ; 𝜋 4 ] kesmadagi eng katta qiymatini toping. A) 10𝜋 − 12 B) 5𝜋 + 8 C) 28 D) 32
4. ∫
2𝑥+5 𝑥 2 +3𝑥+2 𝑑𝑥 1 0
aniq integralni hisoblang. A) 4 ln 3 − ln 2 B) 3 ln 2 − ln 3 C) 4 ln 2 − ln 3 D) 3 ln 2 − ln 3
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 5. 𝑓(𝑥) = (𝑥 − 2) 2 + 5
parobola uchi koordinatalari yig’indisini toping. A) 3 B) – 7 C) – 3 D) 7
6. √72+√50−√32 √98
ni hisoblang. A) 3 B) 2 C) 1 D) √2
7. 𝑓(𝑥) = 2 ∙ (sin 𝑥 + cos 𝑥) 2
funksiyaning boshlang’ich funksiyasini toping. A) 2𝑥 + cos 2𝑥 + 𝐶 B) 2𝑥 − cos 2𝑥 + 𝐶 C) 2𝑥 + 4 cos 2𝑥 + 𝐶 D) 2𝑥 − 4 cos 2𝑥 + 𝐶
8. 𝑙𝑜𝑔 1 3 (𝑙𝑜𝑔 2 (2 − 𝑥)) + 1 ≥ 0 tengsizlikni yeching. A) (−6; 2) B) [−6; 2) C) (−6; 1) D) [−6; 1)
9. (𝑥
2 + 4𝑥 + 1) ∙ (𝑥 2 − 𝑥 + 1) = −6𝑥 2
tenglama nechta turli haqiqiy ildizga ega? A) 1 B) 2 C) 3 D) 4
10. 𝑦 = 6𝑥 + 17 chiziqli funksiyaning 𝑦 = 1 to’g’ri chiziqqa nisbatan simmetrigini toping. A) 𝑦 = 6𝑥 + 1 B) 𝑦 = −6𝑥 − 17 C) 𝑦 = −6𝑥 − 16 D) 𝑦 = −6𝑥 − 15
11. Agar 5 litr dengiz suvida o’rtacha 300 g tuz bo’lsa, 5 𝑚 3 dengiz suvida o’rtacha necha kg tuz bo’ladi? A) 0,3 B) 3 C) 30 D) 300
12. Hisoblang: 0,06 ∙ 10 −7 ∙ 0,22 ∙ 10 10
A) 1,32 B) 0,132 C) 13,2 D) 132 13.
3 sin 𝑥−2 cos 𝑥 5 sin 𝑥+3 cos 𝑥 = 2 bo’lsa, 𝑡𝑔𝑥 ning qiymatini toping. A)
3 5 B) − 7 8 C) − 8 7 D) − 2 3
14. A to’plam 48 ning, B to’plam 72 ning natural bo’luvchilaridan iborat bo’lsa, 𝑛(𝐴 ∩ 𝐵)
ni toping. A) 12 B) 10 C) 8 D) 14
15. 𝑦 = 𝑥 − 4 va 𝑦 = 𝑥 2 − 2𝑥 + 3
funksiyalar orasidagi eng kichik masofani toping. A)
19 4√2
B) 19 2√2 C) 19 √2 D) 19 8√2
16. Soddalashtiring: (−1 1 4 ∙ 𝑎 7 ∙ 𝑏 5 ∙ 𝑐
3 ) : (−1
3 4 ∙ 𝑎 4 ∙ 𝑏
3 ∙ 𝑐
2 )
A) 7 5 ∙ 𝑎 3 ∙ 𝑏 2 ∙ 𝑐
B) 5 7 ∙ 𝑎 3 ∙ 𝑏 2 ∙ 𝑐
C)
9 5 ∙ 𝑎 3 ∙ 𝑏
2 ∙ 𝑐
D) 7 4 ∙ 𝑎 3 ∙ 𝑏 2 ∙ 𝑐
17. |𝑥 2 − 5𝑥 + 4| = 𝑥 2 − 5|𝑥| + 4 tenglamaning barcha ildizlarini toping. A) [0;1] B) [4; ∞) C) [1; 4] D) [0; 1] ∪ [4; ∞)
(−4; 0) nuqtada kesib o’tuvchi urinma o’tkazilgan bo’lsa, urinmaning urininsh nuqtasini toping. A) (9; √13) B) (8; √11) C) (7; 3) D) (6; √7)
19. Agar 𝑡𝑔𝛼 + 𝑐𝑡𝑔𝛼 = −4 ga teng bo’lsa, 𝑡𝑔 2 𝛼 + 5𝑡𝑔𝛼 + 𝑐𝑡𝑔𝛼 ning qiymatini toping.
A) – 4 B) – 5 C) – 3 D) – 6 GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 20. 𝐴 = {𝑥| 𝑥 2 > 25; 𝑥 ∈ 𝑄} 𝐵 = {𝑥| 𝑥 2
bo’lsa, 𝑛(𝐴 ∩ 𝐵) ni toping. A) 10 B) 19 C) 8 D) 20
21. Qirrasi a ga teng bo’lgan tetraedrning hajmini toping. A)
𝑎 3 √2 12 B) 𝑎 3
12
C) 𝑎
√6 12 D) 𝑎 3 √2 24
22. O’q kesimi muntazam uchburchak bo’lgan konusning to’la sirti yuzi 30 ga teng bo’lsa, uning asosini yuzini toping. A) 6 B) 15 C) 10 D) 20
23. Uchtasi bir to’g’ri chiziqda yotmagan 11 ta nuqta orqali nechta turli kesma hosil qilish mumkin? A) 10 B) 110 C) 55 D) 11
24. To’g’ri silindrning asosi radiusi 4 cm, balandligi 10 cm. Yon sirtidan A va B nuqtalar olingan. A va B nuqtalardan asos tekisligigacha bo’lgan masofalar mos ravishda 4 cm va 1 cm. Agar AB kesma uzunligi 6 cm bo’lsa, silindr o’qidan AB kesmagacha bo’lgan masofani toping. A) 3√6 B) 3√3 C)
√37 2 D) 5√3 2
25. ABCD parallelogramda BC va AD tomonlari o’rtalarida mon ravishda M va N nuqtalar olingan. AM va CN kesmalar BD dioganalni mos ravishda P va Q nuqtalarda kesib o’tadi. Agar DNQ uchburchak yuzi 8 ga teng bo’lsa, ABCD parallelogram yuzini toping. A) 72 B) 80 C) 88 D) 96
26. Soatning soat mili 22° ga burilsa, minut mili necha gradusga buriladi? A) 142° B) 192° C) 264° D) 242°
27. n burchakli piramidaning nechta qirrasi bor? A) 3n B) 2n C) n+2 D) 𝑛 2
28. A(0;4) va B(3;0) nuqta ushbu kesmani B uchidan boshlab hisoblaganda 4:3 kabi nisbatda bo’ladigan qilib M nuqta joylashgan. M nuqtaning koordinatalarini toping. A) (
9 7 ; 12 7 ) B) ( 12 7 ; 16 7 )
C) ( 9 7 ; 16 7 ) D) (
16 7 ; 9 7 )
29. A(7;0) nuqtadan 𝑦 = √25 − 𝑥 2
funksiyagacha bo’lgan eng qisqa masofani toping. A) 4 B) 2 C) 5 D) 3
30. Qavariq o’n ikkiburchakning ichki burchaklari yig’indisi necha gradus? A) 2160 B) 2019 C) 1800 D) 1980
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly
1. Sohaning necha foizi bo’yalgan?
A) 12 B) 4 C) 24 D) 16.
2. Hisoblang: √16 − 2√15 − √15 + 4 A) 3 B) 5 C) 5 − 2√15 D) 4
3. Hisoblang: arccos (cos 6𝜋 7 )
A) 𝜋 7 B) 3𝜋 7 C) 5𝜋 7 D) 6𝜋 7
4. Tenglamani yeching: 4 ∙ 2 lg 𝑥
2 + 11 ∙ 2
lg 𝑥 = 3
A)
1 1000
B) 1 100 C)
1 10 D) 10 5. (𝑥 + 1) ∙ (|𝑥| − 1) = 3 tenglama nechta haqiqiy yechimga ega? A) 1 B) 2 C) 3 D) 4
6. 29 ta o’quvchidan 3x-1 tasi ingliz tilini, 2x+1 tasi rus tilini, x-1 tasi ikkala tilni ham ( har bitta o’quvchi hech bo’lmaganda bitta tilni biladi) biladi.O‘quvchilarning nechtasi rus tilini biladi?
A) 20 B) 9 C) 15 D) 10
7. sin 𝜋 7 + sin 17𝜋 21 − sin 11𝜋 21 + 2 ifoda kvadratining qiymatini toping. A) 1 B) 2 C) 0 D) 4
8. 𝑦 = 3𝑥 2 − 6𝑥 + 7
kvadrat funksiyaning (0;0) nuqtaga nisbatan simmetrik funksiyasini aniqlang. A) 𝑦 = −3𝑥 2 + 6𝑥 − 7
B) 𝑦 = 3𝑥 2 + 6𝑥 + 7
C) 𝑦 = 3𝑥 2 − 6𝑥 + 7
D) 𝑦 = −3𝑥 2 − 6𝑥 − 7
9. Ko’paytuvchilarga ajrating: (𝑎 + 𝑏) 2 − 𝑐 2
A) (𝑎 + 𝑏 − 𝑐)(𝑎 − 𝑏 + 𝑐) B) (𝑎 + 𝑏 − 𝑐)(𝑎 − 𝑏 − 𝑐) C) (𝑎 + 𝑏 − 𝑐)(𝑎 − 𝑏 + 𝑐) D) (𝑎 + 𝑏 − 𝑐)(𝑎 + 𝑏 + 𝑐)
10. 35 17 − 77 19 + 70 23 ifodaning qiymati quyidagi oraliqlardan qaysisiga tegishli? A) (0;1) B) (1;2) C(2;3) D) (3;4)
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 11. Soddalashtiring: ((𝑥 − 3)! − (3 − 𝑥)!) ∙ 𝑥! A) 0 B) 6 C) 12 D) 𝑥!
12. Geometrik progressiyaning birinchi va to’rtinchi hadlarining yig’indisi 30 ga, ikkinchi va uchinchi hadlarining ko’paytmasi 144 ga teng bo’lsa, geometrik progressiyaning dastlabki to’rtta hadining yig’indisini toping. A) 48 B) 72 C) 36 D) 32
13. |𝑥 − 3| < 4 tengsizlikning butun ildizlari nechta? A) 6 B) 7 C) 8 D) 9
14. (2𝑥 − 1) 10 ∙ (𝑥 + 1) 2 ifodani yoyilganda koefitsiyentlarining yig’indisini toping. A) 1024 B) 4 C) 0 D) 20
15. 10 kishi tennis musoboqasida oltin, kumush va bronza medallarni necha xil usul bilan olishi mumkin? A) 30 B) 120 C) 720 D) 1000
16. 9 ∙ 23 5 ni 4 ga bo’lgandagi qoldiqni aniqlang. A) 0 B) 1 C) 2 D) 3
∫ 𝑐𝑜𝑠 3 𝑥 ∙ 𝑠𝑖𝑛 4 𝑥𝑑𝑥
A)
𝑠𝑖𝑛 5 𝑥 5 + 𝑠𝑖𝑛 7 𝑥 7 + 𝐶 B)
𝑠𝑖𝑛 5 𝑥 20 − 𝑠𝑖𝑛 7 𝑥 14 + 𝐶
C) 𝑠𝑖𝑛 5 𝑥 5 − 𝑠𝑖𝑛 7 𝑥 7 + 𝐶 D) 𝑠𝑖𝑛 6
6 − 𝑠𝑖𝑛 7 𝑥 7 + 𝐶
18. Besh xonali 2𝑥78𝑦 ̅̅̅̅̅̅̅̅ son 72 ga qoldiqsiz bo’linsa, 𝑦 ∙ (𝑥 − 3) ni hisoblang. A) 15 B) 6 C) 12 D) 24
19. 𝑅 = (−∞; +∞) oraliqda monoton funksiyani ko’rsating. A) 𝑦 = 5 − 3𝑥 B) 𝑦 = 𝑥 2 − 12
C) 𝑦 = 5 − (𝑥 − 3) 2 D) 𝑦 = (𝑥 − 1) 2
20. sin 𝑥 = 𝑠 𝑣𝑎 𝑐𝑜𝑠𝑥 = 𝑐 bo’lsa, 3(𝑠
4 + 𝑐
4 ) − 2(𝑠
6 + 𝑐
6 ) ni hisoblang. A) 1 B) s C) 4 D) 2c
21. O’q kesimi muntazam uchburchak bo’lgan konusning to’la sirti yuzi 48 ga teng bo’lsa, uning asosini yuzini toping. A) 16 B) 24 C) 32 D) 12
22. ABCD parallelogramda BC va AD tomonlari o’rtalarida mon ravishda M va N nuqtalar olingan. AM va CN kesmalar BD dioganalni mos ravishda P va Q nuqtalarda kesib o’tadi. Agar DNQ uchburchak yuzi 12 ga teng bo’lsa, ABCD parallelogram yuzini toping. A) 108 B) 120 C) 144 D) 156
GULISTON – 2019 MATEMATIKAFLY MADINABONU O’QUV MARKAZI Telegramdagi manzilimiz: https://telegram.me/matematikafly 23. Kollenear bo’lmagan 𝑎⃗ 𝑣𝑎 𝑏⃗⃗ vektorlar berilgan. Agar −3𝑎⃗ + 𝑥𝑏⃗⃗ = 𝑦𝑎⃗ + 2𝑏⃗⃗ o’rinli bo’lsa, x va y ning qiymatini toping. A) 𝑥 = −3; 𝑦 = 2 B) 𝑥 = 3; 𝑦 = −2 C) 𝑥 = 2; 𝑦 = −3 D) 𝑥 = −2; 𝑦 = 3
24. Qavariq oltiburchakning ichki burchaklari yig’indisi necha gradus? A) 180° B) 540° C) 360° D) 720°
25. Soatning minut mili 192° ga burilganda, uning soat mili necha gradusga buriladi? A) 14° B) 15° C) 16° D) 18°
26. O‘n uch burchakli piramidaning nechta uchi bor? A) 13 B) 14 C) 26 D) 39
27. To’g’ri konusning balandligi 10 cm, asosining radiusi 6 cm ga teng. Uning yon sirtida joylashgan asosining markaziga eng yaqin nuqtalardan asosiga parallel tekislik o’tkazild. Hosil bo’lgan kesik konusning kichik asos yuzining katta asos yuziga nisbatini toping. A)
15 34 B) 25 34 C) 625 1156
D) 112
289
28. To’g’ri burchakli uchburchakning kichik kateti 6 cm ga, kichik burchagi 30° ga teng bo’lsa, uning eng katta bisektrissasini toping. A) 3 B) 6√3 2
C) 12√6 − 3√3 D) 12√6 + 3√3 Download 1.9 Mb. Do'stlaringiz bilan baham: 
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