Uy » Online olimpiada » Matematika olimpiada » 9-sinf Matematika olimpiada №2 Matematika olimpiadaTuman 2019-2020 o'quv yili 9-sinf Matematika olimpiada №2 InfoMaster Avgust 19, 2024 248 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 4 B) 3 C) 2 D) 1 2 / 25 2. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 40 sm B) 50 sm C) 20 sm D) 56 sm 3 / 25 3. Agar bo‘lsa, ni hisoblang. A) ±4 B) -4 C) 3 D) 4 4 / 25 4. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) II C) IV D) III 5 / 25 5. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 2 B) 4 C) 1 D) 3 6 / 25 6. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) 6 D) -2 7 / 25 7. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 2 C) 4 D) 6 8 / 25 8. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 39 C) 48 D) 33 9 / 25 9. Sonlarni o`sish tartibida yozing. A) a B) b C) c D) c 10 / 25 10. ABC uchburchakning AB tomonidan M va N nuqtalar shunday tanlab olinganki, BN=NM=MA. AC tomonidan K va L nuqtalar shunday tanlab olindiki AK=3KL=1,5LC bo'ldi. SMNLK: SMNLK=? A) 2 B) 0,5 C) 3 D) 1 11 / 25 11. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 4 B) 3 C) 1 D) 2 12 / 25 12. ABCD parallelogramda AB=10, AD=16. BC tomonga AE va DF bissektrisalar o`tkazilganbo`lib, ular G nuqtada kesishadi. E va F nuqtalar BC tomonda bo`lsa, AGD va FGE uchgburchaklar yuzalari nisbatini toping. A) 16 B) 4 C) 64 D) 36 13 / 25 13. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 3 C) 2 D) 4 14 / 25 14. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/(1-x) C) (1+x)/(1-x) D) 1/x 15 / 25 15. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 16 / 25 16. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -40 C) -5 D) -10 17 / 25 17. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a=b+1 C) a ≤ b D) a>b 18 / 25 18. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) sin40° D) cos40° 19 / 25 19. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 18 C) 29 D) 15 20 / 25 20. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a ≠1 D) a=2 ; a = -3 21 / 25 21. Bahodir o`zidagi 411 dona yong`oqni 4 ta bolaga bo`lib berdi. Agar Sanjar va O`ktamning olgan yong`oqlari soni 2 va 3 sonlariga to`g`ri proporsional ,O`ktam va Sohibning yong`oqlari 7 va 5 sonlariga teskari proporsional , Sanjar va G`anisherning yong`oqlari esa 9 va 4 sonlariga teskari proporsional ekanligi ma`lum bo`lsa, G`anisher nechta yong`oq olgan? A) 126 B) 180 C) 145 D) 135 22 / 25 22. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) 0 C) 8 D) -48 23 / 25 23. Birinchi quvurdan ikkinchi quvurga qaraganda ikki barobar ko’p suv oqadi.Ikkalasi birgalikda bo’sh hovuzni 12 soatda to’ldiradi.Birinchi quvur hovuzning uchdan bir qismini necha soatda to’ldiradi? A) 12 B) 4 C) 9 D) 6 24 / 25 24. А punktdan В punktga qarab yuk poyezdi yo‘lga chiqdi. Oradan 3 soat o‘tgandan keyin, uning ortidan tezligi yuk poyezdi tezligidan 40 km/soat ortiq bo‘lgan yo‘lovchi poyezdi yo‘lga chiqdi. Yuk poyezdi yo‘lga chiqqanidan 15 soat o‘tib yo‘lovchi poyezdi yuk poyezdidan 300 km oldinda ekani ma’lum bo‘ldi. Yuk poyezdining tezligini toping. A) 50 km/soat B) 80 km/soat C) 100 km/soat D) 60 km/soat 25 / 25 25. Tenglamaning ildizlari yig’indisini toping A) -1 B) -2 C) 1 D) 2 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
