9-KLASS ALGEBRA

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. Rasmda 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.