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 294 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. Agar (3-a)(3-b)(3-c)=(3+a)(3+b)(3+c) bo‘lsa, ni hisoblang. (Bunda ). A) -1/3 B) -1/9 C) 1/9 D) 1/27 3 / 25 3. Asoslari 18 va 12 ga teng bo‘lgan teng yonli trapetsiyaning diagonallari o‘zaro perpendikulyar. Trapetsiyaning yuzini toping A) 400 B) 125 C) 150 D) 225 4 / 25 4. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 48 C) 30 D) 33 5 / 25 5. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 6 / 25 6. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 55 B) 99 C) 84 D) 12√3 7 / 25 7. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 6 C) 2 D) 1 8 / 25 8. 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) 2 D) 0,5 9 / 25 9. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) III C) II D) I 10 / 25 10. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 4 B) 3 C) 1 D) 2 11 / 25 11. Agar a-b =|x| + 3 bo’lsa a va b lar uchun to’g’ri munosabatni aniqlang. A) a ≤ b B) a C) a=b+1 D) a>b 12 / 25 12. Agar cheksiz kamayuvchi geometrik progressiyaning hadlari yig`indisi ga teng bo`lsa, uning hadlari kublari yig`indisining hadlari kvadratlari yig`indisiga nisbatini toping. A) 1 B) 3 C) 2 D) 4 13 / 25 13. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) 20/69 B) 8 C) -48 D) 0 14 / 25 14. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 24 B) 20 C) 7 D) 27 15 / 25 15. 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) 64 C) 16 D) 36 16 / 25 16. tengsizlikni yeching. A) (-∞;3)∪(3;∞) B) (-∞;-1/2)∪(-1/2;∞) C) (-∞;-1/2)∪(-1/2;3)∪(3;∞) D) xℇR 17 / 25 17. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) sin40° B) –cos40° C) –sin40° D) cos40° 18 / 25 18. f(x) funksiyani toping. A) 1/x B) 1/(1-x) C) (1-x)/(1+x) D) (1+x)/(1-x) 19 / 25 19. 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) 135 B) 180 C) 126 D) 145 20 / 25 20. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=−3 B) a = 1 C) a=2 ; a = -3 D) a ≠1 21 / 25 21. 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) 4 B) 3 C) 2 D) 5 22 / 25 22. 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 23 / 25 23. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) -2 C) 6 D) 8 24 / 25 24. ∠ABC = 90°, AD=2√6, CE=2√3, AG=GC, DF=FE bo‘lsa, FG ni toping. A) 2 B) 4 C) 1 D) 3 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) 56/3 C) 9,6 D) 28/3 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
