3 -bob planimetriya 1 Burchaklar. Masofalar


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3 -Bob PLANIMETRIYA

3.1 Burchaklar. Masofalar

1. Qo'shni burchaklar yig'indisi 180 0 ga teng

2. Vertikal burchaklar teng.

(96-3-37) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan

qo'shni burchaklarning gradus o'lchovlari 2 : 3 nisbat-

da bo'lsa, shu burchaklarni toping.

A) 720; 1080 B) 600; 1200 C) 300; 1500 D) 500; 1300

E) 620; 1180 Yechish: Masalaning shartida keltirilgan

qo'shni burchaklar α va β bo'lsin. U holda



tenglamalar sistemasini hosil qilamiz. Birinchi tenglama-



dan α ni topamiz.

Uni ikkinchi tenglamaga qo'yamiz va hosil bo'lgan teng-

lamani yechamiz.

0

α=1800-β=720 bo’ladi. J:720;1080(A)


1. (96-3-36) Qo'shni burchaklardan biri ikkinchisidan 160 katta. Shu qo'shni burchaklarni toping.

A) 160; 1640 B) 800; 960 C) 1480; 320 D) 820; 980 E) 620; 1180

2. (96-1-37) Ikkita to'g'ri chiziqning kesishishidan hosil bo'lgan uchta burchakning yig'indisi 3150

ga teng. Shu burchaklardan kichigini toping.

A) 600 B) 450 C) 100 D) 850 E) 500

3. (96-10-40) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan burchaklarning ayirmasi 400 ga teng. Kichik

burchakni toping.

A) 600 B) 400 C) 500 D) 700 E) 450

4. (96-9-88) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan uchta burchak yig'indisi 2650 ga teng.

Shu burchaklardan kattasini toping.

A) 1100 B) 950 C) 1050 D) 1500 E) 1200

5. (96-11-37) Qo'shni burchaklardan biri ikkinchisidan200 ga katta. Shu qo'shni burchaklarni toping.

A) 1600; 200 B) 280; 1520 C) 200; 1600 D) 1400; 400 E) 800; 1000

6. (96-11-38) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan qo'shni burchaklar 5 : 7 nisbatda bo'lsa,

shu burchaklarni toping.

A) 360; 1440 B) 750; 1050 C) 420; 1380 D) 380; 1420 E) 850; 950

7. (96-12-38) Qo'shni burchaklardan biri ikkinchisidan

180 katta. Shu qo'shni burchaklarni toping.

A) 820; 980 B) 810; 990 C) 800; 1000 D)1620; 180 E) 980; 820

8. (96-12-39) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan qo'shni burchaklarning gradus o'lchovlari

3 : 7 nisbatda bo'lsa, shu burchaklarni toping.

A) 600; 1200 B) 300; 1500 C) 540; 1260 D) 620; 1180 E) 400; 1400

9. (97-1-27) Ikki qo'shni burchakning ayirmasi 240 ga teng. Shu burchaklardan kichigini toping.

A) 720 B) 680 C) 820 D) 760 E) 780

10. (97-4-43) Qo'shni burchaklardan biri ikkinchisidan4 marta kichik bo'lsa, shu burchaklardan kattasi-

ni toping.

A) 1250 B) 1300 C) 1400 D) 1440 E) 1200

11. (97-5-3) Soatning minut mili 9 minutda necha gradusga buriladi?

A) 150 B) 300 C) 250 D) 540 E) 600

12. (97-5-41) Burchakning bissektrisasi uning tomoni bilan 150 li burchak tashkil etsa, burchakning

o'zini toping.

A) 450 B) 300 C) 600 D) 900 E) 7, 50

13. (97-6-27) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan burchaklarning kattaliklari nisbati 7 : 3

ga teng. Shu burchaklardan kichigini toping.

A) 630 B) 510 C) 570 D) 480 E) 540

14. (97-9-3) Soatning minut mili 6 minutda necha gradusga buriladi?

A) 200 B) 240 C) 360 D) 400 E) 600

15. (97-9-41) Burchakning bissektrisasi uning tomoni bilan 450 li burchak tashkil etsa, burchakning

o'zini toping.

A) 22, 50 B) 900 C) 600 D) 150 E) 350

16. (97-11-27) Qo'shni burchaklardan biri ikkinchisidan320 ga katta. Shu burchaklardan kattasini top-

ing.


A) 1060 B) 1180 C) 1160 D) 1140 E) 1080

17. (98-4-26) A va B nuqtalar orasidagi masofa 500 metrga, B va C nuqtalar orasidagi masofa esa 300

metrga teng. A va C nuqtalar orasidagi masofa

qanchaga teng?

A) 1300 B) 800 C) 200 D) 700 E) aniqlab bo'lmaydi

18. (98-6-32) Bir nuqtadan uchta to'g'ri chiziq o'tkazil gan. Hosil bo'lgan 6 ta burchakning o'zaro ver-

tikal bo'lmagan uchtasi ga teng

ni toping.

A) 2700 B) 1800 C) 1350 D) 1000 E) 900

19. (98-6-33) Qo'shni burchaklar bissektrisalari orasidagi burchakni toping.

A) 900 B) 800 C) 1000 D) 700 E) 600

20. (98-11-80) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan burchaklarning biri 300 ga teng. Qol-

gan burchaklarni toping.

A) 1500; 1500; 300 B) 1100; 1100; 1100 C) 600; 600; 300 D) 1200; 1200; 900 E) 1300; 1300; 700

21. (99-3-44) AB va CD to'g'ri chiziqlar O nuqtada kesishadi. AOD va COB burchaklarning yig'indisi

2300 ga teng. AOC burchakni toping.

A) 700 B) 1200 C) 650 D) 950 E) 850

22. (99-4-36) O'ziga qo'shni bo'lgan burchakning qismiga teng burchakni toping.

A) 540 B) 660 C) 720 D) 420 E) 630

23. (99-8-12) O'ziga qo'shni burchakning 44% iga teng

bo'lgan burchakning kattaligini aniqlang.

A) 550 B) 800 C) 600 D) 520 E) 780

24. (00-3-72) Berilgan burchak va unga qo'shni bo'lgan

ikkita burchaklar yig'indisi ga teng. Berilgan



burchakning kattaligini toping.

A) B) C) E) D)

25. (00-5-51) α va β qo'shni burchaklar. Agar bo'lsa, β va α burchaklar ayirmasini toping.

A) 700 B) 600 C) 1000 D) 900 E) 800

26. (01-1-64) Uzunligi 4,2 ga teng kesmani 3 : 4 kabi

nisbatda bo'ling.

A) 1,2 va 3 B) 1, 3 va 2,9 C) 1, 4 va 2, 8 D) 1,8 va 2, 4 E) 2 va 2, 2

27. (01-2-38) α va βqo'shni burchaklar. Agar bo'lsa, β va α burchaklar ayirmasini toping.

A) 800 B) 200 C) 600 D) 400 E) 300

28. (01-12-5) Ikkita to'g'ri chiziqning kesishishidan hosil bo'lgan burchaklardan 3 tasining yig'indisi

2000. Ularning kattasi kichigidan necha foiz ortiq?

A) 140% B) 80% C) 800% D) 700% E) to'g'ri javob berilmagan

29. (03-6-71) Ikki to'g'ri chiziqning kesishishidan hosil bo'lgan burchaklarning nisbati 5 : 4 ga teng. Shu

burchaklardan kichigini toping.

A) 700 B) 800 C) 600 D) 650 E) 500



30. (03-7-37) O'tkir burchakning sinusi ga teng. Shu burchakka qo'shni burchakning kosinusini toping.

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