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 39 Ko'rishlar 1 izoh SaqlashSaqlanganOlib tashlandi 0 1 12345678910111213141516171819202122232425 Vaqtingiz tugadi! 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping A) 400 B) 150 C) 125 D) 225 2 / 25 2. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 50 B) 34 C) 48 D) 44 3 / 25 3. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 1 B) 2 C) -1 D) 0 4 / 25 4. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) IV C) I D) II 5 / 25 5. Funksiya berilgan. f(f(−1)) ni toping. A) 5 B) 29 C) 18 D) 15 6 / 25 6. 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) 14 B) 21 C) 12 D) 16 7 / 25 7. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 0 C) -48 D) 20/69 8 / 25 8. 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) 4 C) 1 D) 2 9 / 25 9. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 4 C) 3 D) 1 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) 0,5 B) 1 C) 3 D) 2 11 / 25 11. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) xℇR 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) 4 B) 16 C) 64 D) 36 13 / 25 13. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -10 C) -20 D) -40 14 / 25 14. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 4 C) 1 D) 2 15 / 25 15. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a ≤ b C) a=b+1 D) a 16 / 25 16. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) sin40° C) –sin40° D) cos40° 17 / 25 17. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 1 B) 2 C) 3 D) 4 18 / 25 18. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 7 C) 24 D) 27 19 / 25 19. Sonlarni o`sish tartibida yozing. A) b B) c C) a D) c 20 / 25 20. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -4 C) -2 D) 6 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) 145 B) 135 C) 126 D) 180 22 / 25 22. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a=2 ; a = -3 C) a = 1 D) a ≠1 23 / 25 23. 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) 5 B) 2 C) 3 D) 4 24 / 25 24. ∠ABC = 90°, AD=2√6, CE=2√3, AG=GC, DF=FE bo‘lsa, FG ni toping. A) 1 B) 2 C) 3 D) 4 25 / 25 25. ?, ? natural sonlari uchun 3? + 2? soni 11 ga qoldiqsiz bo‘linadi. u holda quyidagi sonlardan qaysi biri 11 ga qoldiqsiz bo’linmasligi mumkin? A) 47? + 34? B) 14? + 13b C) 8(10? + 3?) D) 58? + 90? 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz