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 20 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. Teng yonli trapetsiyaning diagonali uni ikkita teng yonli uchburchakka ajratadi. Trapetsiyaning burchaklarini toping. 1. 2. 3. 4. A) 1 B) 2 C) 4 D) 3 2 / 25 2. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) 2 B) 1 C) -1 D) 0 3 / 25 3. Ifodaning eng kichik qiymatini toping: A) 12 B) -12 C) -4 D) 4 4 / 25 4. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -20 C) -40 D) -10 5 / 25 5. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a=b+1 B) a ≤ b C) a D) a>b 6 / 25 6. Sonlarni o`sish tartibida yozing. A) c B) c C) a D) b 7 / 25 7. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 4 C) 2 D) 3 8 / 25 8. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 20/69 C) 8 D) 0 9 / 25 9. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 6 B) -4 C) 8 D) -2 10 / 25 10. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) xℇR D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 11 / 25 11. f(x) funksiyani toping. A) 1/(1-x) B) 1/x C) (1-x)/(1+x) D) (1+x)/(1-x) 12 / 25 12. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 48 C) 33 D) 39 13 / 25 13. 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 14 / 25 14. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=−3 C) a ≠1 D) a=2 ; a = -3 15 / 25 15. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) –cos40° C) sin40° D) cos40° 16 / 25 16. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) IV C) I D) III 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) 2 B) 1 C) 0,5 D) 3 18 / 25 18. 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 19 / 25 19. Funksiya berilgan. f(f(−1)) ni toping. A) 29 B) 18 C) 15 D) 5 20 / 25 20. 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) 126 C) 180 D) 135 21 / 25 21. 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) 3 D) 1 22 / 25 22. 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) 36 C) 16 D) 64 23 / 25 23. 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) 16 C) 12 D) 21 24 / 25 24. Yozuvida faqat 0 va 1 raqamlaridan iborat va 225 ga qoldiqsiz bo‘linadigan eng kichik natural sonni toping. A) 11 111 111 100 B) 11 111 111 110 C) 11 111 101 110 D) 11 111 111 101 25 / 25 25. ∠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 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz