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 305 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. Rombning diagonallari 6 va 8 ga teng bo‘lsa, uning tomonini toping. A) 8 B) 6 C) 3 D) 5 2 / 25 2. Hovuzga uchta quvur o‘tkazilgan. Birinchisi hovuzni 12 soatda, ikkinchisi 8 soatda to‘ldiradi. Uchinchisi hovuzni 1 sutkada bo‘shatadi. Agar uchala quvur birgalikda ochib qo‘yilsa, bo‘sh hovuzning yarmi qancha vaqt(soat)da to‘ladi? A) 2 B) 2,5 C) 3 D) 1,5 3 / 25 3. Geometrik progressiyada dastlabki to‘rtta hadlari mos ravishda 6; 24; 96; bo‘lsa, ni toping. A) 14 B) 22 C) 15 D) 16 4 / 25 4. 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) 145 C) 135 D) 126 5 / 25 5. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 27 C) 7 D) 24 6 / 25 6. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) xℇR C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;∞) 7 / 25 7. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a=2 ; a = -3 C) a ≠1 D) a = 1 8 / 25 8. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) 8 B) -4 C) -2 D) 6 9 / 25 9. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a>b B) a=b+1 C) a ≤ b D) a 10 / 25 10. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -5 B) -20 C) -10 D) -40 11 / 25 11. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 3 C) 2 D) 1 12 / 25 12. 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) 12 B) 21 C) 16 D) 14 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) 9 B) 4 C) 12 D) 6 14 / 25 14. Tenglamalar sistemasi nechta yechimga ega? A) 6 B) 4 C) 1 D) 2 15 / 25 15. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 12√3 C) 84 D) 99 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) 64 B) 4 C) 16 D) 36 17 / 25 17. 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) 2 C) 1 D) 4 18 / 25 18. 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) 2 C) 0,5 D) 3 19 / 25 19. Sonlarni o`sish tartibida yozing. A) b B) a C) c D) c 20 / 25 20. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) –cos40° B) cos40° C) –sin40° D) sin40° 21 / 25 21. f(x) funksiyani toping. A) (1+x)/(1-x) B) (1-x)/(1+x) C) 1/x D) 1/(1-x) 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) 3 B) 1 C) 2 D) 4 23 / 25 23. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 0 B) 8 C) 20/69 D) -48 24 / 25 24. bo‘lsa, 4? + 3? + 2? yig‘indini toping. (Bunda, ?, ?, ?- raqamlar) A) 4 B) 16 C) 8 D) 12 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) 18,6 B) 28/3 C) 56/3 D) 9,6 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
