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. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 48 B) 44 C) 50 D) 34 2 / 25 2. Tenglamani yeching: |x+6|=|x+10| A) 4 B) -6 C) 6 D) -8 3 / 25 3. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. A) 3 B) 6 C) 8 D) 5 4 / 25 4. 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) 2 C) 3 D) 1 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) 12 C) 4 D) 9 6 / 25 6. 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 7 / 25 7. 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>b D) a 8 / 25 8. 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) 4 C) 3 D) 1 9 / 25 9. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -5 C) -10 D) -40 10 / 25 10. tengsizlikni yeching. A) xℇR B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;3)∪(3;∞) 11 / 25 11. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) IV C) II D) III 12 / 25 12. 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) 135 C) 126 D) 180 13 / 25 13. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 99 C) 84 D) 55 14 / 25 14. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) 6 D) -2 15 / 25 15. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) cos40° C) –cos40° D) –sin40° 16 / 25 16. 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 17 / 25 17. f(x) funksiyani toping. A) (1-x)/(1+x) B) 1/(1-x) C) (1+x)/(1-x) D) 1/x 18 / 25 18. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 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) 3 B) 1 C) 0,5 D) 2 20 / 25 20. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a = 1 B) a=2 ; a = -3 C) a=−3 D) a ≠1 21 / 25 21. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 33 B) 48 C) 30 D) 39 22 / 25 22. Funksiya berilgan. f(f(−1)) ni toping. A) 15 B) 29 C) 5 D) 18 23 / 25 23. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 4 C) 1 D) 2 24 / 25 24. y = −3x − 10 va y = 0,5x −3 to‘g‘ri chiziqlar va absissa o‘qi bilan chegaralangan uchburchak yuzini toping. A) 56/3 B) 28/3 C) 18,6 D) 9,6 25 / 25 25. ABC teng yonli uchburchakning AC asosida D nuqta olingan, bunda CD = 2 va CL bissektrisa (L ∈ AB) DL kesmaga perpendikulyar. AL ni toping. A) 2 B) 5 C) 1 D) 3 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
