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 395 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 2 Savollar 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 65 B) 60 C) 48 D) 35 2 / 25 2. Agar bo‘lsa, ko‘paytmani hisoblang. A) 1/35 B) 31/35 C) 1/33 D) -1 3 / 25 3. Hisoblang: A) 5 B) 0,5 C) 1 D) 1,5 4 / 25 4. 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) 145 B) 135 C) 126 D) 180 5 / 25 5. ABC uchburchakda O nuqta AD medianava BE bissektrisalar kesishishnuqtasi. AOEva BOD uchburchaklar yuzlari mos ravishda 1 va 3 ga teng bo`lsa, EOC uchburchakning yuzini toping. A) 2 B) 4 C) 5 D) 3 6 / 25 6. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 7 C) 20 D) 27 7 / 25 7. Sonlarni o`sish tartibida yozing. A) c B) b C) a D) c 8 / 25 8. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a=−3 D) a = 1 9 / 25 9. 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) 6 D) 9 10 / 25 10. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a C) a=b+1 D) a ≤ b 11 / 25 11. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) III C) II D) I 12 / 25 12. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 33 C) 39 D) 30 13 / 25 13. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 6 C) 1 D) 4 14 / 25 14. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 3 B) 2 C) 1 D) 4 15 / 25 15. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 2 C) 3 D) 1 16 / 25 16. ABCD trapetsiyaning yuzi 36 gateng, asoslari DC=6, AB=2. BC tomonidan E nuqta olingan bo’lib, BE=2EC bo’lsa, ADE uchbutchakning yuzini toping. A) 16 B) 14 C) 12 D) 21 17 / 25 17. 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) 1 B) 3 C) 2 D) 0,5 18 / 25 18. 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) 1 C) 3 D) 4 19 / 25 19. 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) 36 B) 16 C) 4 D) 64 20 / 25 20. f(x) funksiyani toping. A) (1+x)/(1-x) B) 1/(1-x) C) 1/x D) (1-x)/(1+x) 21 / 25 21. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -2 C) -4 D) 8 22 / 25 22. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) cos40° D) sin40° 23 / 25 23. tengsizlikni yeching. A) xℇR B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 24 / 25 24. ?, ? natural sonlari uchun 3? + 2? soni 11 ga qoldiqsiz bo‘linadi. u holda quyidagi sonlardan qaysi biri 11 ga qoldiqsiz bo’linmasligi mumkin? A) 58? + 90? B) 14? + 13b C) 47? + 34? D) 8(10? + 3?) 25 / 25 25. Agar ning qiymatini toping. A) -3 B) 3 C) -1 D) 2 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
