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 335 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. stemadan ni toping. A) 11/7 B) 7/3 C) 3/7 D) 7/11 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) 5r C) 4r D) 2r 3 / 25 3. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 65 B) 60 C) 48 D) 35 4 / 25 4. 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) 12 B) 6 C) 9 D) 4 5 / 25 5. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –sin40° B) sin40° C) cos40° D) –cos40° 6 / 25 6. Sonlarni o`sish tartibida yozing. A) c B) b C) a D) c 7 / 25 7. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -2 B) 8 C) -4 D) 6 8 / 25 8. 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) 2 B) 4 C) 5 D) 3 9 / 25 9. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 10 / 25 10. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 2 B) 4 C) 3 D) 1 11 / 25 11. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 30 C) 39 D) 48 12 / 25 12. 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 13 / 25 13. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/(1-x) D) 1/x 14 / 25 14. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 24 D) 20 15 / 25 15. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 5 C) 29 D) 18 16 / 25 16. 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) 180 C) 145 D) 135 17 / 25 17. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) II B) I C) IV D) III 18 / 25 18. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 1 B) 2 C) 4 D) 3 19 / 25 19. 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) 2 D) 3 20 / 25 20. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) 20/69 C) 8 D) -48 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) 14 B) 12 C) 16 D) 21 22 / 25 22. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 2 C) 6 D) 4 23 / 25 23. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a ≠1 C) a=2 ; a = -3 D) a = 1 24 / 25 24. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1000 B) 1 C) 1 000 000 D) 100 000 25 / 25 25. tengsizlikning butun yechimlari yig’indisini toping. A) 9 B) 7 C) 15 D) 10 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
