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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) 2x+3y+z=0

B) -x-y+z=0

C) x=y/3=z/2

D) x-1/2=y-2/3=z-3/4

2 / 30

integralning qiymatini toping.

A) π/4

B) 0

C) π/2

D) -π/2

3 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 10

B) 6

C) 5

D) 4

4 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1+2cosα/4sin²)

B) πa²/4cos²α

C) πa²(1-2sinα/4sin²)

D) πa²/4sin²α

5 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 4

B) 8

C) 16

D) 12

6 / 30

sistemada xy ning qiymatini toping.

A) 75

B) 64

C) 80

D) 60

7 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5√3

B) 67,5

C) 135√3/4

D) 48√3

8 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 9

B) 10

C) 11

D) 12

9 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 8√5

B) 16

C) 32

D) 24√5

10 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 3S

B) 4S

C) 2S

D) 0,5S

11 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1,2

B) 1/6

C) 1/2

D) 1

12 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 20

C) 30

D) 28

13 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 375

B) 100

C) 400

D) 127

14 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) -1/2

B) 1/3

C) 1/2

D) 2/5

15 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 7

C) m

D) 2m-7

16 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (-∞;6)

B) 6

C) (-∞;6])v[6;∞)

D) (2;∞)

17 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 4π/3

B) 3π/4

C) 3π/2

D) 2π/3

18 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 1

B) 0

C) 2

D) cheksiz ko’p

19 / 30

Hisoblang.

A) 2/17

B) 15/34

C) 17/34

D) 2/34

20 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 4

C) 5

D) 3

21 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 2 yoki 50

B) 10 yoki 50

C) 10

D) 50

22 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 8

B) 6

C) 4

D) 12

23 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 3,5

C) 4

D) 2

24 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) x/25

C) 2-x

D) 2/x

25 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) 1; 10

C) [10;∞)

D) (-∞;1]

26 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 1

B) 1/√2

C) 1/√3

D) 0,5

27 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) (-∞;-6]v{2}v[12;∞)

B) [-2;4]v{6}

C) [2;4]v{2}v[3;∞)

D) [1;6]

28 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln|x-1/x+4|+c

C) ln(|x+4*|x-1|)+c

D) ln(|x+4+|x-1|)+c

29 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (-4;4)

C) (-4;-4)

D) (4;4)

30 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 3√3

B) 2√5

C) 2√3

D) 4