1-variant uchburchakda balandlik va medianalar o’tkazilgan. Agar va bo’lsa, burchakni hisoblang

7. bo’lsa,

A) B) C) 3a D)

8. Uchburchakning ikki medianasining uzunligi 18 va 13,5 ga teng va ular o’zaro perpendikulyar. Uchinchi mediana uzunligini toping. A) 18 B) 15 C) 17,5 D) 22,5

9. Agar a+4b-c=0 bo’lsa, ifodaning qiymatini toping.

A) 0 B) -4 C) 1,(6) D) 2

10. Yig’indini hisoblang. 17+20+23+26+…+9n+8

A) B) (2n-6)(9n+25) C) D) 3(n-1)(9n+25)

11. Qaysi nuqta y=x³+5x-2 funksiyaga teskari funksiya grafigiga tegishli?

A) (4;1) B) (0;-2) C) (-2;1) D) (2;1)

12.Hisoblang: 

A) 4014013 B) 4014123 C) 4014103 D) 4014003

13. Toq sonlardan (1), (3,5), (7,9,11), … kabi guruhlar tuzilgan. 100-guruhdagi sonlar yig’indisini toping.

A) 9702998 B) 922368 C) 1000000 D) 10000000

14. a ning qanday qiymatida tengsizlik o’rinli bo’ladi.

A) 3 B) 2 C) 9 D) 7

15. tenglama nechta musbat butun yechimga ega?

A) 4 B) cheksiz ko’p C) Ш D) 1

16. Agar bo’lsa, ifodaning qiymatini toping.

A) 0 B) 1 C) 2 D) 3

17. N nuqta ABCD kvadrat AB tomonining o’rtasi, AC diagnalning biror M nuqtasi uchun AC=4CM bo’lsa, necha gradusga teng.

A)60 B)90 C)120 D)75

18. ABC to’g’ri burchakli uchburchakning AB gipotenuzasida M va N nuqtalar olingan.Bu nuqtalar uchun AC=AM va BC=BN shartlar bajarilsa, ni toping.

A)30 B)40 C)45 D)60

19. tenglama nechta butun yechimga ega?

Javob:_________________________________________________________

20. ABC teng yonli uchburchakda AB=BC=5, AC=6 bo’lsa, uchburchakning ortomarkazi bilan og’irlik markazi orasidagi masofani toping.

Javob:_________________________________________________________

21. Tenglamalar sistemasini yeching: .

Javob:_________________________________________________________

22. Agar bo’lsa, quyidagi yig’indini hisoblang.
Javob:_________________________________________________________

23. A=1!+2!+3!+4!+5!+...+2016! Yig’indini 12 ga bo’lgandagi qoldiqni toping.
Javob:_________________________________________________________

24. ABC to’g’ri burchakli uchburchakda ( ) CD balandlik o’tkazilgan.Agar ACD va BCD uchburchaklarga ichki chizilgan aylanalarning radiuslari mos ravishda r₁ va r₂ bo’lsa, ABC uchburchakka ichki chizilgan aylana radiusini toping.

25. f(x) = x² + 12x + 30 kvadrat funksiya berilgan. f (f (f (f (f (x))))) = 0 tenglamani yeching.
Javob: _________________________________________________________