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. P(x) ko‘phadni x-a ga bo‘lgandagi qoldiqni toping. A) P(x) B) P(a) C) P(x-a) D) 0 2 / 25 2. Ifodaning eng kichik qiymatini toping: A) -4 B) 4 C) 12 D) -12 3 / 25 3. Parallellogrammning 5 ga teng bo‘lgan diagonali uning 12 ga teng bo‘lgan tomoniga perpendikulyar. Parallelogrammning perimetrini toping. A) 48 B) 50 C) 34 D) 44 4 / 25 4. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/x D) 1/(1-x) 5 / 25 5. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 8 B) 0 C) 20/69 D) -48 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) 145 B) 135 C) 180 D) 126 7 / 25 7. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 7 C) 27 D) 20 8 / 25 8. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –cos40° D) –sin40° 9 / 25 9. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) II C) IV D) III 10 / 25 10. 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) 1 B) 3 C) 2 D) 0,5 11 / 25 11. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 2 C) 4 D) 1 12 / 25 12. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a B) a>b C) a=b+1 D) a ≤ b 13 / 25 13. 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) 5 C) 3 D) 4 14 / 25 14. 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) 64 B) 36 C) 16 D) 4 15 / 25 15. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a ≠1 B) a=2 ; a = -3 C) a = 1 D) a=−3 16 / 25 16. Sonlarni o`sish tartibida yozing. A) c B) c C) a D) b 17 / 25 17. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 30 C) 48 D) 33 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) 3 C) 4 D) 2 19 / 25 19. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) 6 D) -2 20 / 25 20. 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) 9 D) 4 21 / 25 21. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 1 C) 4 D) 2 22 / 25 22. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 99 B) 84 C) 55 D) 12√3 23 / 25 23. tengsizlikni yeching. A) xℇR B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 24 / 25 24. x, y, z tub sonlar uchun xyz = 5(x + y + z) bo’lsa, x² + y² + z² ni hisoblang. A) 78 B) 55 C) 70 D) 68 25 / 25 25. bo‘lsa, 3? + ? ni toping. A) 2,5 B) 7,5 C) 5 D) 10 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
