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 208 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. Tenglamani yeching: |x+6|=|x+10| A) -6 B) 4 C) 6 D) -8 2 / 25 2. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 34 B) 50 C) 48 D) 44 3 / 25 3. Yuzi 96 sm2, balandliklari 6 sm va 8 sm bo‘lgan parallelogrammning perimetrini toping. A) 20 sm B) 56 sm C) 50 sm D) 40 sm 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) 126 B) 145 C) 180 D) 135 5 / 25 5. 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 D) a=b+1 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) 21 B) 16 C) 14 D) 12 7 / 25 7. 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 8 / 25 8. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -2 C) -4 D) 6 9 / 25 9. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –sin40° D) –cos40° 10 / 25 10. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) -48 C) 20/69 D) 8 11 / 25 11. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 39 C) 33 D) 48 12 / 25 12. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 7 B) 24 C) 27 D) 20 13 / 25 13. Funksiya berilgan. f(f(−1)) ni toping. A) 18 B) 5 C) 29 D) 15 14 / 25 14. Sonlarni o`sish tartibida yozing. A) c B) c C) a D) b 15 / 25 15. f(x) funksiyani toping. A) 1/x B) (1-x)/(1+x) C) (1+x)/(1-x) D) 1/(1-x) 16 / 25 16. 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) 3 D) 2 17 / 25 17. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 99 C) 55 D) 84 18 / 25 18. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;3)∪(3;∞) 19 / 25 19. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a ≠1 C) a=−3 D) a = 1 20 / 25 20. 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) 64 B) 36 C) 4 D) 16 21 / 25 21. 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) 4 B) 12 C) 6 D) 9 22 / 25 22. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 2 C) 1 D) 4 23 / 25 23. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 4 C) 3 D) 1 24 / 25 24. Ikkinchi raqami birinchi raqamidan katta bo‘lgan nechta ikki xonali natural son mavjud? A) 45 B) 50 C) 36 D) 24 25 / 25 25. To’g’riburchakli uchburchakning o’tkir burchaklaridan chiquvchi medianalar √156 va √89 ga teng bo’lsa, uchburchak gipotenuzasini toping. A) 14 B) 12 C) 13 D) 15 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
