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 287 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. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 34 B) 44 C) 50 D) 48 2 / 25 2. Agar bo‘lsa, ko‘paytmani hisoblang. A) 1/35 B) -1 C) 31/35 D) 1/33 3 / 25 3. Hisoblang: A) 5 B) 1 C) 1,5 D) 0,5 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) 135 B) 126 C) 180 D) 145 5 / 25 5. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 12√3 C) 84 D) 55 6 / 25 6. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) –cos40° C) –sin40° D) sin40° 7 / 25 7. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 48 C) 33 D) 30 8 / 25 8. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=2 ; a = -3 C) a ≠1 D) a=−3 9 / 25 9. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -4 C) -2 D) 6 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 f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 24 C) 7 D) 20 12 / 25 12. tengsizlikni yeching. A) xℇR B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 13 / 25 13. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 1 C) 2 D) 3 14 / 25 14. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) -48 C) 8 D) 0 15 / 25 15. Sonlarni o`sish tartibida yozing. A) c B) a C) c D) b 16 / 25 16. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a>b C) a ≤ b D) a=b+1 17 / 25 17. 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) 9 B) 6 C) 4 D) 12 18 / 25 18. 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) 4 B) 5 C) 2 D) 3 19 / 25 19. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 4 C) 2 D) 1 20 / 25 20. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) III C) I D) IV 21 / 25 21. 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) 64 C) 4 D) 16 22 / 25 22. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 2 B) 1 C) 3 D) 4 23 / 25 23. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 3 B) 4 C) 1 D) 2 24 / 25 24. Baliq og‘irliklari 14:12:11:8:15 kabi nisbatda bo‘lgan besh bo‘lakka bo‘lindi. Ikkinchi bo‘lakning og‘irligi 1,12 kg bo‘lsa, butun baliqning og‘irligini qancha? A) 4,48 kg B) 6,4 kg C) 5,6 kg D) 6,72 kg 25 / 25 25. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 18,6 B) 56/3 C) 28/3 D) 9,6 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
