Ushbu test varianti 30 ta test topshirig‘idan iborat. Uni bajarishga
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Matematika 1915948
TEST VARIANTI RAQAMI: 1915948
MATEMATIKA Ushbu test varianti 30 ta test topshirig‘idan iborat. Uni bajarishga 1 soat vaqt belgilash tavsiya etiladi. Natijani bilish uchun javoblaringizni javoblar varaqasiga belgilab, rasmini @dtmxizmatbot orqali jo‘nating. Sizga omad tilaymiz! Test varianti raqamini javoblar varaqasiga to‘g‘ri ko‘chiring! 1 9 1 5 9 4 8 9 8
6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 9 8 7 6 5 4 3 2 1 0 1. f (x) = x 2 − x + 1 funksiyaning (0; 2) nuqtadan o‘tuvchi boshlang‘ich funksiyasini toping. A) F (x) = x − 1 2
2 + 1 3 x 3 − 2 B) F (x) = x − 1 2
2 + 1 3 x 3 + 1 C) F (x) = x − 1 2
2 + 1 3 x 3 − 1 D) F (x) = x − 1 2
2 + 1 3 x 3 + 2 2. |2x − 3| = 3x + 1 tenglama nechta haqiqiy yechimga ega? A) cheksiz ko‘p B) 2 C) 1
D) 0 3. a = 14, 88 · 10 14 ; b = 28, 42 · 10 8 va c = 34, 317 · 10 11 sonlardan qaysilari 12 ga qoldiqsiz bo‘linadi? A) faqat b B) faqat c C) barchasi D) a va c 4. Uchlari A(0; 0), B(3; −1), C(6; 2) va D(1; 2) nuqtalarda bo‘lgan to‘rtburchakning qaysi tomoni eng katta? A) CD B) BC
C) AD D) AB
5. Hisoblang: 2 ·
sin 3 1 − cos 3 1 sin 1 − cos 1 − sin
2 1 + cos
2 1 tg 1 + ctg 1 + 1
A) 1, 25 B) 2
C) 3 D) 1, 5
6. Hisoblang: √ 2017 · 2021 + 4 A) 2011 B) 2009
C) 2019 D) 2021
7. α tekislik va uni kesib o‘tmaydigan AB=13 cm kesma berilgan. AB kesmaning uchlaridan α tekislikkacha bo‘lgan masofalar AA 1 =4 cm, BB 1 =9 cm. AB kesma yotuvchi to‘g‘ri chiziq bilan α tekislik hosil qilgan burchakning kosinusini toping. A) 4
B) 12 13 C) 9 13 D) 5 13 8. Uchburchakning 3 va 4 teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping. A) 2,5 B)
6 C) 2,4
D) √ 5 9. Yoyiq burchakning A nuqtasidan chiquvchi ikkita nur uni 2:4:3 nisbatdagi burchaklarga ajratadi. Eng katta burchakni toping. A γ β α A) 60 ◦ B) 80
◦ C) 90
◦ D) 40
◦ 10. b
2 ning qanday qiymatlarida f (x) = x 2 + bx + 3
funksiyaning grafigi abssissalar o‘qidan yuqorida joylashadi? A) b 2
B) b 2 = 12 C) b 2
D) b 2
11. f (x) = 3 x+1 + 3 x+2
+ 3 x+3
5 x+2
+ 14 · 5 x funksiya berilgan bo‘lsa, 9 · f (−2) ni hisoblang. A) 9
B) 0,36 C) 25
D) 1,44 12. 3
1 log0,25 3 − 0, 25 1+cos
2 (5π−3x)
ifodaning eng kichik qiymatini toping. A) 0 B) −
3 4 C) − 1 4 D) 3 16 c Davlat test markazi, 2019 1
1915948 Matematika 13. Magazinda birinchi kuni 76% tarvuz sotildi. Ikkinchi kuni esa qolgan 54 ta tarvuz sotildi. Birinchi kuni nechta tarvuz sotilgan? A) 163
B) 171 C) 168
D) 176 14. x
2 + y
2 − 12x + 6y + 9 = 0 tenglama bilan berilgan aylananing markazini toping. A) (3; −6) B) (6; −3) C) (−6; 3) D) (−3; 6) 15. x · (x + 7) 2 ≥ 5x
2 tengsizlikning (1; 7) oraliqdagi butun yechimlari yig‘indisini toping. A) 21
B) 28 C) 14
D) 20 16. A to‘plam 48 sonining butun bo‘luvchilaridan tashkil topgan bo‘lsa, A to‘plamning elementlari sonini aniqlang. A) 18 B) 10
C) 20 D) 16
17. Hisoblang: 5, 34
2 + 10, 68 · 3, 66 + 3, 66 2 9 · 12, 72 + 5, 28 · (4, 73 + 4, 27) . A) 1 2 B) 1 3 C) 2
D) 3 18.
a −2 −3 · a 3
−1 · a −2 3 : a ifodaning a = − 1 6
A) 1 36 B) −6 C) −
1 6 D) 36 19. Uchta tengdosh prizma balandliklari h 1 : h 2 : h 3 =1:9:4 nisbatda bo‘lsa, prizmalar asoslarining yuzlari qanday nisbatda bo‘ladi? A) S
1 : S
2 : S
3 = 4 : 9 : 1 B) S 1
2 : S
3 = 16 : 81 : 1 C) S 1
2 : S
3 = 2 : 3 : 1 D) S 1
2 : S
3 = 36 : 4 : 9 20. 3
x 4 − 9 3 √ x 2 − 3
− 3 √ x 2 − 4 3 √ x + 2 = 7 tenglamaning ildizlari yig‘indisini toping. A) −1 B) 8
C) 19 D) 7
21. Sakkizta haddan iborat arifmetik progressiyaning toq o‘rindagi hadlari yig‘indisi 168 ga, juft o‘rindagi hadlari yig‘indisi 200 ga teng. Shu progressiyaning oltinchi hadini toping. A) 58
B) 50 C) 66
D) 42 22. Agar a, b, c musbat haqiqiy sonlar uchun ab = 14 va bc = 6 bo‘lsa, a + 2b + 3c eng kichik qiymatini toping. A) 18 B) 16
C) 34 D) 20
23. f (x) = x 8 · ln 7x 8 − x 8 64 + 1 funksiyaning x 0 =1 nuqtadagi hosilasini toping. A) 2 ln 7 B) ln 7 C)
2 ln 7
D) 1 4 ln 7 24. 3 ta mergan bir-biriga bog‘liq bo‘lmagan holda nishonga bir martadan o‘q uzishmoqda. Har birining nishonga tekkizish ehtimolligi mos ravishda 0,7; 0,6 va 0,5 ga teng. Nishonga 3 ta o‘qning tegishi ehtimolligini toping. A) 0,21 B) 0,35
C) 0,3 D) 0,42
25. a ning 18% i 60 ning 3 5 qismiga teng. a ning 1 5 qismi 15 sonidan qanchaga ko‘p? A) 15
B) 20 C) 10
D) 25 26. (2x − 3) 2 − 4 (2 − x) 2 − 3
x − 1
1 3 ifodaning x =
2 3 dagi qiymatini toping. A) −2 1 3 B) −1 C) −3
D) 2 1 3 27. Ko‘paytuvchilarga ajrating: 2bx − 3ay − 6by + ax A) (2b − a) · (x + 3y) B) (a + 2b) · (3y − x) C) (a − 2b) · (x + 3y) D) (a + 2b) · (x − 3y) 28. f (x) = x 2 + bx + c funksiyaning nollari 2 va 3 bo‘lsa, c ni toping. A) 5
B) 6 C) −5
D) −6 29. x
log 2 x−5 = 1 64 tenglamaning ildizlari ko‘paytmasini toping. A) 16 B) 32
C) 1 4 D) 64 30. Quyidagi sonlardan nechtasi irratsional son? 1) π − 3, 14 2 ; 2)
q 5 +
p 1 + 2
√ 16; 3)
7 33 ; 4) sin π 3 A) 1 B) 3
C) 2 D) 4
c Davlat test markazi, 2019 2
Matematika 1915948
Test varianti “Test topshiriqlari to‘plami 2019” asosida shakllantirilgan: 1 – 87-bet 18 2 – 61-bet 19 3 – 10-bet 33 4 – 116-bet 22 5 – 40-bet 61 6 – 28-bet 59 7 – 108-bet 14 8 – 102-bet 94 9 – 91-bet 11 10 – 76-bet 65 11 – 53-bet 13 12 – 40-bet 56 13 – 19-bet 31 14 – 100-bet 77 15 – 68-bet 18 16 – 119-bet 5 17 – 15-bet 54 18 – 23-bet 6 19 – 111-bet 41 20 – 66-bet 75 21 – 30-bet 8 22 – 82-bet 47 23 – 77-bet 10 24 – 126-bet 30 25 – 21-bet 48 26 – 49-bet 43 27 – 46-bet 18 28 – 72-bet 25 29 – 56-bet 16 30 – 12-bet 26 c
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