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 290 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. ifodani a=4, b=5 bo‘lgandagi qiymatini toping. A) -1 B) 0 C) 1 D) 2 2 / 25 2. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. A) 6 B) 8 C) 3 D) 5 3 / 25 3. Agar bo‘lsa, ko‘paytmani hisoblang. A) 31/35 B) 1/35 C) 1/33 D) -1 4 / 25 4. 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) 4 D) 3 5 / 25 5. 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) 6 B) 4 C) 9 D) 12 6 / 25 6. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a ≠1 C) a=2 ; a = -3 D) a = 1 7 / 25 7. tengsizlikni yeching. A) xℇR B) (-∞;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 8 / 25 8. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 9 / 25 9. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 84 B) 55 C) 12√3 D) 99 10 / 25 10. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a=b+1 C) a>b D) a ≤ b 11 / 25 11. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) III C) II D) IV 12 / 25 12. f(x) funksiyani toping. A) 1/x B) (1+x)/(1-x) C) (1-x)/(1+x) D) 1/(1-x) 13 / 25 13. 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) 2 C) 3 D) 1 14 / 25 14. 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 15 / 25 15. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 3 B) 1 C) 4 D) 2 16 / 25 16. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 2 C) 1 D) 6 17 / 25 17. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 3 C) 4 D) 2 18 / 25 18. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -40 C) -5 D) -10 19 / 25 19. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) -4 C) 8 D) 6 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) sin40° C) cos40° D) –cos40° 21 / 25 21. Funksiya berilgan. f(f(−1)) ni toping. A) 18 B) 15 C) 5 D) 29 22 / 25 22. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 4 B) 1 C) 2 D) 3 23 / 25 23. 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) 135 B) 145 C) 126 D) 180 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) 1 B) 0 C) -1 D) 2 25 / 25 25. ABC uchburchakda AL bissektrisa o’tkazildi. AB va BL kesmalarda E va D nuqtalar mos ravishda shunday olinganki, DL=LC, ED∥ AC. Agar AE=15, AC=12 ekani ma’lum bo’lsa, ED kesma uzunligini toping. A) 3 B) 2 C) 5 D) 4 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
