1. abc uchburchakning tomonlari mos ravishda 26,28,30 ga teng bo’lsa uning eng katta balantlignini toping

1-variant
1.ABC uchburchakning tomonlari mos ravishda 26,28,30 ga teng bo’lsa uning eng katta balantlignini toping.
A) 12,92 B) 13,5 C) 15 D)13.8
2.Teng yonli uchburchakning yon tomoni 5 ga va shu yon tomoniga tushirilgan medianasi 4 ga teng bo’lsa uning asosi uzunligini toping.
A) B) C) D)
3.Teng yonli uchburchakning yon tomoni 10 asosi esa 16 ga teng. Asosiga tushirilgan bissektrisasi uzunligini toping.
A) 10 B) 12 C) 6 D) 9
4.ABC uchburchakning AB tomoni 10 ga C burchak esa 30⁰ ga teng, uchburchakka tashqi chizilgan aylana radiusini toping.
A) 20 B) 12 C) 14 D) 10
5.Uchburchakning tomonlari a, b va c tomonlari
orasida munosbat o`rinli bo`lsa,
uzunligi a ga teng tomon qarshisidagi burchakni
toping.
A) 60⁰ B) 120⁰ C) 30⁰ D) 150⁰
6.Uchburchakning tomonlari mos ravishda
13,14,15 ga teng bo’lsa uning yuzini hisoblang.
A) 84 B) 64 C) 60 D) 76
7.To`g`ri burchakli uchburchakning gipotenuzasi 6 ga,
katetlaridan biri 4 ga teng.Shu katetning
gipotenuzadagi proyeksiyasini toping.
8. To`g`ri burchakli uchburchak to`g`ri burchakning bissektrisasi gipotenuzani 1:5 nisbatda bo`ladi. Uchburchakning balandligi gipotenuzani qanday nisbatda bo`ladi?
A) 25:1 B) 1:25 C) 1:5 D) 5:1 E) 1:6
9. Gipotenuzasi 50 ga teng bo`lgan to`g`ri burchakli uchburchakning katetlari nisbati 4:3 ga teng. Gipotenuzaga tushirilgan balandlik uni qanday kesmalarga ajratadi?
A) 20 va 30 B) 15 va 35 C) 18 va 32
D) 12 va 38 E) 14 va 36
10. Gipotenuzasi c ga va o`tkir burchaklari sinuslarining yig`indisi q ga teng bo`lgan to`g`ri burchakli uchburchakning yuzini toping.
A) с²(q²–1) B) q²(c²–1) C) q²(c²+1)
D) с²(q²+1) E) q²(1–c²)
11.ABC uchburchakning AC tomonidan N nuqta BN kesmadan esa M nuqta shunday olindiki ularning nisbati AN:NC=1:2, BN:NM=3:1 ga teng NMC uchburchakning yuzi S ga teng teng bo’lsa ABC uchburchakning yuznini toping.
A) 10S B) 8S C) 4S D) 6S
12. Muntazam uchburchakning tomoni 10ga teng uning balantligini toping.
A) 10 B) 5 C) 5 D) 7
13. To’g’ri to’rtburchakning tomonlari 8 va 6 ga teng unga tashqi chizilgan aylana radiusini toping.
A) 10 B) 5 C) 8 D) 6
14.Rombnig diognallari 12 va 16 ga teng uning balantligini toping.
A) 9,6 B) 10,2 C) 10 D) 4,8
15. Rombning tomoni 4 ga, yuzi 9 ga teng. Rombning diagonallari yig`indisini toping.
A) 12 B) 11 C) 10 D) 9,5 E) 11,5
16. Parallelogrammning o`tkir burchagi 60⁰ ga teng. Uning kichik diagonali katta tomoni bilan 30⁰ li burchak tashkil qiladi.Parallelogrammning katta tomoni 20 ga teng. Uning yuzini toping.
A) B)85 C)
D) E)
17.Parallelogramning tomonlari 5 va 6 ga teng
uning yuzi eng ko’pi bilan nechiga teng
bo’lishi mumkin.
A) 30 B) 15 C) 15 D) 15
18.Trapetsiyaning parallel tomonlari mos ravishda 10 va 15 ga teng uning diognallari kesishish nuqtasida qanday nisbatta bo’linadi?
A) B) C) D)
19. ABCD parallelogrammda AC CD, CE AD, AE=16 va ED=4. Parallelogrammning yuzini toping.
A) 150 B) 145 C) 155 D) 148 E) 160
20.Kvadratning tomoni 10 ga teng uning yuzini toping.
A) 100 B) 200 C) 50 D) 150
21.Muntazam oltiburchakning tomoni 6 ga teng uning eng katta diognalini toping.
A) 12 B) 16 C) 10 D) 14
22.Muntazam oltiburchakning tomoni m ga teng bo’lsa uning yuzini hisoblang.
A) B)
C) D)
23.muntazam 15 burchakning diognallari soni nechta?
A) 100 B) 80 C) 60 D) 90
24.Muntazam 12 burchakka tashqi chizilgan aylana radiusi 10 ga teng bo’lsa uning yzini toping.
A) 3000 B) 300 C) 400 D) 4000
25.Muntazam 10 burchakning bitta ichki burchagi necha gradusga teng?
A) 154 B) 158 C) 144 D) 144
26. Shaklda AB=AC va BMC=80⁰ bo`lsa, ANB necha gradusga teng bo`ladi.

A) 50⁰ B) 60⁰ C) 70⁰ D) 80⁰
E) aniqlab bo`lmaydi
28. Ikkita doiraning umumiy vatari 60⁰ va 120⁰ li yoylarni tortib turadi. Kichik doira yuzining katta doira yuziga nisbatini toping. (00–3–77).
A) 1:2 B) 1:3 C) 1:4 D) 2:3 E) 2:5
29. Teng yonli uchburchakning asosi 12 ga, balandligi 3 ga teng. Unga tshqi chizlgan aylananing diametrini toping. (99–8–54).
A) 17 B) 18 C) 14 D) 16 E) 15
30. Teng yonli uchburchakning uchidagi burchagi 2α ga, unga tashqi chizilgan aylananing radiusi R ga teng. Uchburchakning yuzi nimaga teng?
(99–2–50).
A) R²sin2αcosα B) 2R²cosαsin²α C) R²sin²2α
D) 4R²cos³αsinα E) 2R²cos²α
31. To`g`ri burchakli uchburchakning katetlaridan biri 4 sm, uning gipotenuzadagi proyeksiyasi esa sm. Uchburchakka tashqi chizilgan aylananing radiusi necha sm?
A) 4 B) 5 C) 6 D) 7 E) 6,5
32. Rombning kichik diagonali va tomoni ga teng. Rombga ichki chizilgan aylananing radiusini toping.

33. Uzunligi 2π ga teng aylana o`tkir burchagi 30⁰ rombga ichki chizilgan. Rombning perimetrini toping.
A) 2 B) 10 C) 8 D) 4 E) 16
34.Teng yonli tarpetsiyaning burchagi 120⁰ ga, kichik asosi 8 ga teng. Shu trapetsiyaga aylana ichki chizilgan Trapetsiya katta asosining uchi aylananing markazidan qanday masofada joylashgan?

35. Doiraga tashqi chizilgan teng yonli trapetsiyaning yuzi 18 ga teng. Agar trapetsiyaning asosidagi burchagi ga teng bo`lsa, uning yon tomonini toping.
A) 6 B) 4 C) 8 D) 5 E) 3
36. R radiusli aylanaga ichki chizilgan muntazam o`nikkiburchakning tonini toping.

37. Teng yonli trapetsiyaning asoslari 20 va 12 ga teng bo`lib, unga tashqi chiziligan aylananing markazi katta asosda yotadi. Trapetsiyaning diagonalini toping.

38. Har birining diametri 50 ga teng bol`gan uchta quvur suv o`tkazish qobiliyati shu uchta quvurnikiga teng bo`lgan bitta quvur bilan almashtirildi. Katta quvurning diametrini toping.
A) 85 B) 150 C)50 D) 75 E) 100
39. Doiraning yuzi unga ichki chizlgan kvadratning yzuidan necha marta katta?
A) B) 2 C) 4 D) π E) 2π
40. Tomoni 4 sm bo`lgan rombga ichki chizilgan aylananing radiusi 1 sm. Rombning o`tkir burchagi sinusini toping.