9-sinf Matematika olimpiada №2 May 23, 2022Avgust 19, 2024 da chop etilgan InfoMaster tomonidan 9-sinf Matematika olimpiada №2 ga 1 fikr bildirilgan 0 12345678910111213141516171819202122232425 Vaqtingiz tugadi! Tomonidan yaratilgan InfoMaster 9-sinf Matematika olimpiada №2 2019-yil tuman bosqichida tushgan savollar 1 / 25 1. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 22 B) 14 C) 15 D) 16 2 / 25 2. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 3r B) 4r C) 2r D) 5r 3 / 25 3. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? A) 38 B) 32 C) 34 D) 30 4 / 25 4. 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) 12 B) 21 C) 16 D) 14 5 / 25 5. 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) 145 C) 180 D) 135 6 / 25 6. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) xℇR 7 / 25 7. 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) 4 D) 1 8 / 25 8. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 1 C) 2 D) 4 9 / 25 9. 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 10 / 25 10. 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) 64 C) 4 D) 36 11 / 25 11. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 24 C) 27 D) 7 12 / 25 12. Sonlarni o`sish tartibida yozing. A) b B) a C) c D) c 13 / 25 13. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a = 1 D) a=−3 14 / 25 14. 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 15 / 25 15. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) 8 C) -48 D) 0 16 / 25 16. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) 6 C) -2 D) -4 17 / 25 17. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) III C) II D) I 18 / 25 18. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –cos40° C) cos40° D) –sin40° 19 / 25 19. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 4 B) 2 C) 1 D) 3 20 / 25 20. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 2 C) 3 D) 4 21 / 25 21. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 48 B) 39 C) 33 D) 30 22 / 25 22. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/(1-x) C) (1+x)/(1-x) D) 1/x 23 / 25 23. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -40 B) -5 C) -10 D) -20 24 / 25 24. Teng yonli ABC (AC=BC) uchburchakning AC tomonida D nuqta olingan. K - BD kesma va AH balandlik kesishgan nuqta. Agar AD=AK bo‘lsa, u holda DBA burchakni toping. A) 75° B) 30° C) 60° D) 45° 25 / 25 25. bo‘lsa, 3? + ? ni toping. A) 7,5 B) 2,5 C) 5 D) 10 0% Testni qayta ishga tushiring tomonidan Wordpress Quiz plugin Matematika olimpiada, Tuman 2019-2020 o'quv yili
