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 344 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. Tenglamaning natural sonlardagi yechimida ni toping: A) 4 B) 5 C) 3 D) 2 2 / 25 2. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 14 B) 22 C) 16 D) 15 3 / 25 3. stemadan ni toping. A) 11/7 B) 3/7 C) 7/11 D) 7/3 4 / 25 4. 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) 3 C) 1 D) 2 5 / 25 5. f(x) funksiyani toping. A) 1/(1-x) B) (1-x)/(1+x) C) (1+x)/(1-x) D) 1/x 6 / 25 6. Sonlarni o`sish tartibida yozing. A) c B) c C) b D) a 7 / 25 7. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 33 D) 48 8 / 25 8. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 84 C) 55 D) 99 9 / 25 9. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) –sin40° C) sin40° D) cos40° 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) 4 B) 64 C) 36 D) 16 11 / 25 11. Funksiya berilgan. f(f(−1)) ni toping. A) 18 B) 29 C) 5 D) 15 12 / 25 12. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a ≠1 C) a=−3 D) a=2 ; a = -3 13 / 25 13. 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) 4 C) 1 D) 3 14 / 25 14. 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+1 D) a>b 15 / 25 15. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) II C) III D) IV 16 / 25 16. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 4 C) 1 D) 3 17 / 25 17. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 6 C) 8 D) -2 18 / 25 18. 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) 135 C) 145 D) 180 19 / 25 19. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) 20/69 C) -48 D) 8 20 / 25 20. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 1 C) 2 D) 4 21 / 25 21. 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) 16 B) 21 C) 14 D) 12 22 / 25 22. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -10 C) -40 D) -5 23 / 25 23. 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) 3 B) 1 C) 2 D) 0,5 24 / 25 24. ?, ?, ? sonlar to’plami ?4 − 2?2, ?4 − 2?2, ?4 − 2?2 to’plami bilan almashtirildi. Natijada hosil bo’lgan to’plam avvalgisi bilan bir xil bo’ldi. Agar ?, ?, ? sonlarning yig’indisi (−3) ga teng ekani ma’lum bo’lsa, ?, ?, ? sonlar ko‘paytmasini toping. A) 0 B) 1 C) 2 D) -1 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) 8(10? + 3?) B) 58? + 90? C) 47? + 34? D) 14? + 13b 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
