4-guruh testi

4-guruh testi

1. 
   Agar ixtiyoriy uchburchakning ichida olingan ixtiyoriy nuqtadan tomonlariga parallel to’g’ri chziqlar o’tkazishdan hosil bo’lgan uchburchaklarning yuzlari 3, 12, 48 bo’lsa. Shu uchburchakning yuzini toping. A) 144 B)87 C)108 D) 147
   
2. 
   Yuzasi 144 , balandliklari 8 sm va 12sm bo’lgan parallelogrammning perimetrini toping. A) 40 B)30 C) 60 D) 72
   
3. 
   To’g’ri burchakli uchburchakning perimetri 84 ga teng. Gipotenuzasi 37 ga teng bu uchburchakning yuzini toping. A)210 B)240 C) 105 D) 420
   
4. 
   -6x+-4x-3=0 aylana tenglamasidan foydalanib aylananing uzunligini toping.
   

1. 
   4π B)8π C) 16π D) 6π
   

5. 
   Diagonali ga teng kvadratga ichki chizilgan doira yuzini toping.
   

1. 
   64π B)16π C) 9π D)4π
   

6. 
   Uchburchakning ichki burchaklar nisbati kabi bo’lsa, uning tashqi burchaklari nisbatini toping. A) 2:3:4 B)9:10:11 C)8:9:10 D)4:5:6
   
7. 
   Muntazam oltiburchak ichidagi ixtiyoriy nuqtadan uning tomonlari yotgan to’g’ri chiziqlargacha bo’lgan masofalar yig’indisi 9 ga teng. Shu oltiburchakning perimetrini toping. A) 5 B)4,5 C)6 D)4 E)12
   
8. 
   va vektorlarning uzunliklari 11 va 23 ga, bu vektorlarning ayirmasining uzunliklari 30 ga teng. Shu vektorlar yig’indisining uzunligini toping. A)34 B)64 C)42 D)20 E)50
   
9. 
   Aylanaga tashqi chizilgan to’rtburchakning uchta ketma-ket tomonlari nisbati 1:2:3 kabi. Agar to’rtburchakning perimetri 24 ga teng bo’lsa, uning eng kichik tomonini toping. A) 3,6 B)4 C)3 D)4,5 E)2,5
   
10. 
    Tekislikka bir nuqtadan tushirilgan og’ma o’zining proyeksiyasidan 5 marta katta. Nuqtadan tekislikkagacha masofa ga teng bo’lsa, og’ma uzunligini toping.
    

A)2,5 B)0,5 C)6 D)3

11. 
    to’g’ri burchakli uchburchakda gipotenuzaga balandlik va bissektrisa tushirilgan. Agar uchburchak katetlari 6 va 8 teng bo’lsa, kesma uzunligini toping.
    

A) B)0,4 C)0,6 D)

12. 
    uchburchakda va bo’lsin. Agar bo’lsa, A)5 B)6 C)8 D)
    
13. 
    Tomonlari 8 va 12 bo’lgan to’g’ri to’rtburchakning tomonlarida ularni 1:3 nisbatda bo’luvchi nuqtalar olingan. U holda to’rtburchak yuzini toping. A) 36 B) 60 C) 80 D) 72
    
14. 
    Tomonlari nisbati 2:3 bo’lgan ikkita o’xshash uchburchakdan birining yuzi ikkinchisinikidan 20 ga ortiq. U holda bu uchburchaklar yuzlari yig’indisi nechaga teng? A)48 B)50 C)52 D)60
    
15. 
    Radiusi 10 bo’lgan aylanada uzunligi 12 ga teng vatar va unga parallel urinma o’tkazildi. Urinma va vatar orasidagi masofani toping.
    

A) 14 B) 12 C) 18 D)16

16. 
    Biror nuqtadan aylanaga ikkita urinma o’tkazildi. Agar urinmalar orasidagi burchak va urinish nuqtalari orasidagi masofa 6 ga teng bo’lsa, aylana radiusini toping.
    

A) 3 B) C) 6 D)

17. 
    Balandliklari 8 va 12 bo’lgan parallelogramning perimetri 50 ga teng. Uning yuzini toping. A) 60 B) 100 C) 50 D) 120
    
18. 
    Asoslari 10 va 6 bo’lgan teng yonli trapetsiyaga ichki chizilgan aylana uning yon tomonini 5:3 nisbatda bo’lsa, trapetsiya yuzi nechaga teng?
    

A) B) C) D)

19. 
    To’g’ri burchakli uchburchakning katetlari 10 va 24 ga teng bo’lsin. Gipotenuzaga hamda katetlar davomiga urinuvchi aylana radiusini toping.
    

A)30 B)25 C)34 D)26

20. 
    Tomoni 10 ta teng bo’lgan rombning diogonallari yig’indisi 25 ga teng. Uning yuzi nechaga teng? A) 225 B) C) D)
    
21. 
    To’rtburchakning uchta tashqi burchaklari yig’indisi ga teng. Uning shu tashqi burchaklarga qo’shni bo’lmagan ichki burchagi necha gradus?
    

A) B) C) D)

22. 
    Teng yonli uchburchakning yon tomoni 15 sm, asosiga tushirilgan balandlik esa 12 sm ga teng. Shu uchburchakka tashqi chizilgan aylananing radiusini toping.
    

A) 18,75 sm B) 9,375 sm C) 9 sm D) 18 sm

23. Aylana radiusiga teng ikkita vatar o’tkazilgan. Vatarlar orasidagi burchakni toping? A)60⁰ B)45⁰ C)90⁰ D)120⁰ E)80⁰

24.Teng yonli trapetsiyaning dioganali 41 sm, balandligi 9 sm bo’lsa, yuzini toping? A)349 B)369 C)360 D)180 E)184,5

25. Gipotenuzaga tushirilgan balandligi 12 ga teng bo’lgan to’g’ri burchakli uchburchakning o’tkir burchagi ga teng bo’lsa, uning katta kateti nechaga teng? A) B) 18 C) D)

26. Perimetri 39 ga teng bo’lgan uchburchakning uzunligi 13 bo’lgan to-moniga tushirilgan bissektrisasi uni 6 va 7 kesmalarga ajratadi. U holda uchbur-chakning kichik tomonini toping. A) 10 B) 11 C) 12 D) 13

27. Tomonlari nisbati 2:3 bo’lgan ikkita o’xshash uchburchakdan birining yuzi ikkinchisinikidan 20 ga ortiq. U holda bu uchburchaklar yuzlari yig’indisi nechaga teng? A) 48 B) 50 C) 52 D) 60

28.Teng yonli trapetsiyaning asosidagi burchagi ga teng bo’lib, kichik asosi yon tomoniga teng. Agar trapetsiyaning perimetri 45 ga teng bo’lsa, uning katta asosi nechaga teng? A) 15 B) 12 C) 20 D) 18

29. Katetlari 6 va 8 bo’lgan to’g’ri burchakli uchburchakka kvadrat ichki chizilgan. Bunda kvadratning bir uchi uchburchakning to’g’ri burchagi uchi bilan ustma-ust tushadi. U holda bu kvadrat tomonini toping.

A) 3 B) C) D) 4

30..Muntazam oltiburchakning ichidagi ixtioriy nuqtasidan tomonlarigacha bo’lgan masofalar yig’indisi 18 ga teng shu oltiburchak yuzini tioping?

A)27 B)36 C)36 D)18

Hammaga omad. 22.03.2020 yil