To'plam yechimlari 1996-2003

2022-02-14 07:25:02 https://t.me/axbarotnomamatematikayechim Ochish/sharhlash

2021-09-26 16:28:20 17. (98-12-102) Uchburchakning asosiga parallel to’g’ri
chiziq uning yuzini teng ikkiga bo’lsa, asosidan
boshlab hisoblaganda, uning yon tomonlarini qanday nisbatda bo’ladi?
A) (√
2 − 1) : 1 B) 1 : 1 C) 1
2
: 1
D) (√
3 − 1) : 1 E) (2√
2 − 1) : 1 Ochish/sharhlash

2021-09-26 16:08:04 16. (98-12-47) A1B1C1 va A2B2C2 uchburchaklar o’xshash. A2B2C2 uchburchakning yuzi A1B1C1
uchburchakning yuzidan 9 marta katta. A1B1C1
uchburchakning 3 ga teng bo’lgan tomoniga mos
bo’lgan A2B2C2 uchburchakning tomonini toping.
A) 9 B) 27 C) 12 D) 6 E) 18 Ochish/sharhlash

2021-09-26 16:04:30 15. (98-12-45) Perimetri 48 ga teng bo’lgan uchburchakning har bir tomoni 4 ta teng kesmalarga
bo’lindi. Bo’linish nuqtalari tomonlariga parallel kesmalar bilan tutashtirilgan. Shu kesmalar
uzunliklarining yig’indisini toping.
A) 72 B) 96 C) 24 D) 144 E) 36 Ochish/sharhlash

2021-09-26 15:42:38 14. (98-10-25) ABC uchburchakning AB tomoni
MNkAC to’g’ri chiziq yordamida BM=2 va MA=4
bo’lgan kesmalarga ajratildi. Agar MBN uchburchakning yuzi 16 ga teng bo’lsa, ABC uchburchakning yuzi qanchaga teng bo’ladi?
A) 48 B) 96 C) 80 D) 144 E) 128 Ochish/sharhlash

2021-09-26 15:40:01 13. (98-7-47) ABC uchburchakning tomonlari A1B1C1
uchburchakning mos tomonlaridan 2√
3 marta katta. ABC uchburchakning yuzi A1B1C1 uchburchakning yuzidan necha marta katta?
A) 12 B) 6 C) 2√
3 D) 4√
3 E) 6√
3 Ochish/sharhlash

2021-09-26 07:43:40 12. (97-12-38) Perimetri 84 sm bo’lgan uchburchakning asosiga parallel qilib o’tkazilgan to’g’ri chiziq
undan perimetri 42sm ga, yuzi 27sm2 ga teng
uchburchak ajratadi. Berilgan uchburchakning
yuzini toping.
A) 54sm2 B) 108sm2 C) 135sm2
D) 81sm2 E) 162sm2 Ochish/sharhlash

2021-09-26 07:43:25 11. (97-10-46) Yuzlari 8 va 32 bo’lgan ikkita o’xshash
uchburchak perimetrlarining yig’indisi 48 ga teng.
Kichik uchburchakning perimetrini toping.
A) 12 B) 16 C) 20 D) 9, 6
E) aniqlab bo’lmaydi Ochish/sharhlash

2021-09-26 07:09:30 10. (97-7-46) Ikkita o’xshash uchburchakning perimetrlari 18 va 36 ga, yuzlarining yig’indisi 30 ga teng.
Katta uchburchakning yuzini toping.
A) 20 B) 24 C) 21 D) 18 E) 25 Ochish/sharhlash

2021-09-26 06:48:49 9. (97-4-54) ABC uchburchakda AB va BC yon tomonlarida ACkDE shartni qanoatlantiruvchi D va
E nuqtalar olingan. AB=8, AD=2 bo’lsa, ABC va
DBE uchburchaklar yuzlarining nisbatini toping.
A) 2 B) 2 1
5 C) 1 5
7 D) 1 7
9
E) 1 8
9 Ochish/sharhlash