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 296 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. Agar bo‘lsa, ni hisoblang. A) 3 B) -4 C) 4 D) ±4 2 / 25 2. To‘g‘ri burchakli uchburchakka ichki chizilgan aylana urinish nuqtasida gipotenuzani 5 va 12 ga teng kesmalarga ajratadi. Uchburchak yuzini toping A) 60 B) 48 C) 35 D) 65 3 / 25 3. 600 li burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi ga teng. Katta aylananing radiusini toping. A) 4r B) 5r C) 3r D) 2r 4 / 25 4. Sonlarni o`sish tartibida yozing. A) b B) a C) c D) c 5 / 25 5. 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) 3 C) 4 D) 5 6 / 25 6. 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) 180 B) 135 C) 145 D) 126 7 / 25 7. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) xℇR D) (-∞;3)∪(3;∞) 8 / 25 8. Funksiya berilgan. f(f(−1)) ni toping. A) 29 B) 5 C) 18 D) 15 9 / 25 9. 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 10 / 25 10. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) III B) IV C) I D) II 11 / 25 11. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 3 C) 1 D) 2 12 / 25 12. ax²+bc+c=0 kvadrat tenglama bitta manfiy, bitta musbat ildizga ega bo`lsa, quyidagilardan qaysibiri to`g`ri?(D=b2−4ac) A) 2 B) 3 C) 4 D) 1 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) 6 B) 4 C) 12 D) 9 14 / 25 14. 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) 3 C) 2 D) 1 15 / 25 15. Tenglamalar sistemasi nechta yechimga ega? A) 2 B) 6 C) 1 D) 4 16 / 25 16. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -20 C) -40 D) -10 17 / 25 17. 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) 1 C) 3 D) 4 18 / 25 18. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 30 C) 48 D) 39 19 / 25 19. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a = 1 C) a=2 ; a = -3 D) a=−3 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –sin40° C) cos40° D) –cos40° 21 / 25 21. f(x) funksiyani toping. A) 1/(1-x) B) (1+x)/(1-x) C) (1-x)/(1+x) D) 1/x 22 / 25 22. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 20/69 C) -48 D) 0 23 / 25 23. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 27 B) 7 C) 20 D) 24 24 / 25 24. Tenglamaning ildizlari yig’indisini toping A) 1 B) -1 C) 2 D) -2 25 / 25 25. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 9,6 B) 56/3 C) 18,6 D) 28/3 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
