Sinflar uchun matematika variant I 1-15 savollar. Qiyinlik darajasi Har bir to`g`ri javobga 2,1 balldan

10-11 SINFLAR UCHUN MATEMATIKA Variant II

1-15 savollar. Qiyinlikdarajasi 1. Harbirto`g`rijavobga 2,1 balldan

1) t³- t - 1 =0 булса, t⁷ = ?

A) t-1 В) t²+t+1 C) 2(t²+t+1) D) t(t+1 )²

2) P(x)=(x²-x+1)²⁰²¹ kop handing barcha hadlarining kafisentlari yig’indisini toping?

A) 1 B) 2 C)6 D) 4

3) Tenglikni qanoatlantiradigan barcha natural sonlar jufti nechta? x²-y²=105

A) 1 B) 2 C)6 D) 4

4) 1!+2!+3!+4!............2020!+2021! yig’indini 5 ga bo’lgandagi qoldiqni toping?

A) 1 B) 3 C)8 D) 4

5) Quydagi ketma ketlikda 2021 o’rinda turgan raqamni toping 123456789101112....

A) 1 B) 3 C)6 D) 4

6) bo’lsa, bo’lsa m nik orqali ifodalang

A) m=K-1 B) m=k+1 C) K=m D) k=m+2

7) y= funksiyaning eng kichik qiymatini toping?

A) 2021 B) 2 C)600 D) 2020

8) Ifodaning eng kichik qiymatini toping tg²⁰²¹α+ctg²⁰²¹α

A) 2021 B) 2113 C)600 D) 2

9) Ifodani eng kata qiymatini toping? 2021sinα+2021cosα

A) 2021 B) 2021 C) 2021 D) 2020

10) Ifodaning eng kichik qiymatini toping. 5a²⁰²⁰+10a^-1010b^-1010+5b²⁰²⁰

A) 5 B) 20 C)10 D) 2

11) To’g’ri burchakli uchburchakda gepotenuzaga tushgan balandligi uni 3 va 12 ga teng kesmalarga ajratadi balandlikni toping?

A) 5 B) 7 C) 6 D) 8

12) Uchburchakning medianalar kvadratlarini yig’indisini tomonlar kvadratlarining yig’indisiga nisbatini toping

A) B) C) D)

13) Aylanaga tashqaridagi P nuqtadan PA urinma o`tkazilgan. P nuqta va aylananing O markazini tutashtiruvchi kesma aylanani B nuqtada kesib o`tadi. Agar PA=7, PB=5 bo`lsa, aylana radiusini toping.

A) 2,7 B) 2,6 C) 2,5 D) 2,4

14) To`g`ri burchakli uchburchakning o`tkir burchagi 60<sup>0</sup>. Shu burchakka yopishgan kateti uzunligi 2 cm ga teng bo`lsa, uning eng katta medianasi uzunligini (cm) toping.

A) 13 B) 2C) 3D)

15) Soddalashtiring:

A B C D