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Matematika olimpiada Tuman 2020-2021 o'quv yili

11-sinf Matematika olimpiada №1

InfoMaster

Avgust 23, 2024

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11-sinf Matematika olimpiada №1

2020-2021 o'quv yil tuman bosqichida tushgan savollar

Ismi familiyangizni kriting!

Iltimos ma'lumotlaringizni to'g'ri kritishga e'tibor bering!

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1. bo‘lsa, nimaga teng?

A) 7

B) 5

C) 9

D) 3

2 / 25

2. Sonlarni kamayish tartibida joylashtiring:

A) b>c>a

B) a>b>c

C) c>a>b

D) c>b>a

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3. ABC uchburchakka aylana tashqi chizilgan. Uchburchakning AM medianasi aylana bilan K nuqtada kesishguncha davom ettirilgan. Agar AM=18,MK=8,BK=10 bo‘lsa, AC tomonini toping.

A) 12

B) 16

C) 14

D) 15

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4. Beshyulduzning uchidagi burchaklarining yig‘indisini toping.

A) 270°

B) 90°

C) 240°

D) 180°

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5. 1!+2!+3!+.....+10! sonining oxirgi raqamini toping.

A) 0

B) 7

C) 6

D) 3

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6. tenglama nechta ildizga ega?

A) 1

B) 2

C) 4

D) 3

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7. To‘g‘ri burchakli uchburchakda AC=3, BC=4, CD-balandlik va CE-bissektrisa. DE ni toping.

A) 21

B) 12/35

C) 23/35

D) 15/31

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8. tenglamaning ildizlari yig‘indisini toping.

A) 10

B) -2

C) -6

D) 6

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9. Agar va bo‘lsa, ni toping.

A) 11

B) 31

C) 25

D) 39

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10. funksiyaning grafigi qaysi choraklardan o‘tadi?

A) I,II,III,IV

B) III,IV

C) I,II

D) II,III

11 / 25

11. tenglama t ning qanday qiymatida uchta ildizga ega bo‘ladi?

A) 3

B) 2

C) Ø

D) 5

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12. Tenglamani yeching:

A) (1;-2)

B) (-2;1)

C) (2;1)

D) (1;-2)

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13. ko‘phadning barcha koeffitsientlari va ozod hadining yig‘indisini toping.

A) 245

B) 125

C) -238

D) -247

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14. Koordinata boshidan o‘tuvchi, simmetriya o‘qi ordinata o‘qiga parallel, cho‘qqisi y=x va y+x-2=0 to‘g‘ri chiziqlar kesishgan nuqtada bo‘lgan parabolaning tenglamasini toping.

A) y=-x²+2x

B) y=-x²+1

C) y=-x²-2x

D) y=x²-2x

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15. va a,b>0 bo‘lsa, ifodaning eng kichik qiymatini toping.