Ix sinflar uchun Geometriya fanidan test savollari. To’rtburchakning uchta burchagi 47

IX sinflar uchun Geometriya fanidan test savollari.

1. 
   To’rtburchakning uchta burchagi 47⁰, 83⁰ va 120⁰ ga teng. Uning to’rtinchi burchagini toping.
   

a) 110⁰ b)100⁰ c) 103⁰ d) 106⁰ e) 135⁰

2. 
   Teng yonli trapetsiyaning ikkita burchagi ayirmasi 40⁰ga teng. Uning burchaklarini toping
   

a) 80⁰; 100⁰ b) 120⁰; 60⁰ c) 140⁰; 40⁰ d) 110⁰; 70⁰ e) 60⁰; 120⁰

3. 
   Katetlari 40 sm va 30 sm bo’lgan to’g’ri burchakli uchburchakka ichki va tashqi chizilgan aylana radiuslarini toping.
   

a) 11 sm; 30 sm b) 10 sm; 25 sm c) 15 sm; 25 sm d) 12 sm; 30 sm e) 15 sm; 28 sm

4. 
   Radiusi 6 sm bo’lgan aylananing 60⁰ga teng yoyitutib turgan vatar uzunligini toping.
   

a) 2 b) 3 c) 6 d) 5 e) 4

5. 
   Agar A(2; 7), B( -2; 7) bo’lsa, AB kesmaning uzunligini toping.
   

a) 3 b) 4 c) 5 d) 6 e) 8

6. 
   R asmda tasvirlangan ABO va CDO uchburchaklar C
   

o’xshash bo’lsa, AB, OC kesmalar uzunligi va o’xshashlik 10
koeffisiyentini toping.
a) 5; 8; 2 b) 15; 24; 6 c) 4; 3; 2 B 3 D
d ) 6; 7; 8 e) 8; 9; 10 4 6
A

7. 
   Berilgan uchburchak tomonlari 15 sm, 25 sm, 30 sm. Agar perimetri 35 sm bo’lgan uchburchak berilgan uchburchakka o’xshash bo’lsa, uning tomonlarini toping.
   

a) 20; 5; 15 b) 7,5; 10; 26 c) 7,5; 22,5; 15 d) 15; 12; 13 e) 16; 18; 22,3

8. 
   Rasmdagi ma`lumotlar asosida x ni toping.
   

a) 8 b) 11 c) 12 d) 10 e) 7

9. 
   Rasmdagi ma`lumotlar asosida x ni toping.
   

a) 3 b) 4 c) 6 d) 2 e) 7

10. 
    Rasmdagi ma`lumotlar asosida uchburchak yuzalari nisbatini toping.
    

a) 22/63 b) 20/63 c) 60/63 d) 2/3 e) to’g’ri javob berilmagan

11. 
    Ikkita o’xshash uchburchakning yuzlari 6 dm² va 24 dm² ga teng. Ulardan birining perimetri ikkinchisidan 6 dm ga ortiq. Katta uchburchakning perimetrini toping.
    

a) 6 b) 8 c) 4 d) 2 e) 1

12. 
    Teng yonli uchburchakning asosiga tushirilgan balandlik 5 sm, asosi esa 10√3 sm bo’lsa, uchburchakning yon tomoni va yuzini toping.
    

a) 5; 25 b) 10; 25√3/2 c) 10; 25√3 d) 5; 25√3/2 e) 25√3; 15

13. 
    Diagonallari 5√3 sm va 5 sm bo’lgan rombning burchaklarini toping.
    

a) 115⁰; 65⁰ b) 80⁰; 100⁰ c) 120⁰; 60⁰ d) 110⁰; 70⁰ e) 140⁰; 40⁰

14. 
    Balandligi 4√3 sm bo’lgan teng tomonli uchburchak perimetrini toping.
    

a) 24 b) 48 c) 12 d) 40 e) 25

15. 
    Teng yonli uchburchakning uchidagi burchagi 120⁰. Uchburchak balandligining asosiga nisbatini toping.
    

a) 1/2√3 b) 1/√3 c) 1/2 d) √3/2 e) to’g’ri javob yo’q

16. 
    Balandligi 3 sm va o’tkir burchagi 30⁰ bo’lgan rombning perimetri va yuzini toping.
    

a) 8 b) 9 c) 10 d) 12 e) 14

17. 
    Hisoblang sin180⁰ + 2 cos90⁰
    

a) 0 b) 2 c) 1 d) 1,5 e) 0,5

18. 
    To’g’ri to’rtburchakning 12 sm gat eng diagonali bir tomoni bilan 30^0.ga teng burchak hosil qiladi. To’g’ri to’rtburchak yuzini toping.
    
19. 
    ABC uchburchakda < A=150⁰ va AC = 7 sm bo’lsa, uchburchakning C uchidan tushirilgan balandlikni toping.
    
20. 
    Tomonlari 5 sm va 7 sm bo’lgan parallelogramning bir burchagi 120⁰ ga teng. Uning diagonallarini toping.
    
21. 
    Tomonlari 6m, 7m, 8m bo’lgan uchburchak medianalarini toping.
    
22. 
    x ning qanday qiymatida a(4; 5) va b(x; 6) vektorlar perpendikulyar bo’ladi?
    
23. 
    Uchburchakni ikki tomoni va bir burchagini toping. a = 5 sm; ß = 45⁰; æ = 45⁰
    
24. 
    Uchburchakning uchta tomoni berilgan. a = 2; b = 3; c = 4. Uni uchta burchagini toping.
    
25. 
    ABC uchburchakda < A = 30⁰; BC = 7 sm. Uchburchakka tashqi chizilgan aylana radiusini toping.