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 28 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. ni hisoblang. A) 4 B) 3 C) -2 D) 2 2 / 25 2. Hisoblang: A) 5 B) 1 C) 0,5 D) 1,5 3 / 25 3. stemadan ni toping. A) 7/11 B) 11/7 C) 7/3 D) 3/7 4 / 25 4. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 1 B) 4 C) 2 D) 3 5 / 25 5. Sonlarni o`sish tartibida yozing. A) b B) c C) a D) c 6 / 25 6. tengsizlikni yeching. A) xℇR B) (-∞;-1/2)∪(-1/2;3)∪(3;∞) C) (-∞;-1/2)∪(-1/2;∞) D) (-∞;3)∪(3;∞) 7 / 25 7. f(x) funksiyani toping. A) (1-x)/(1+x) B) (1+x)/(1-x) C) 1/x D) 1/(1-x) 8 / 25 8. Funksiya berilgan. f(f(−1)) ni toping. A) 18 B) 15 C) 5 D) 29 9 / 25 9. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –sin40° D) –cos40° 10 / 25 10. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 30 B) 48 C) 33 D) 39 11 / 25 11. Muntazam uchburchakning ichidagi nuqtadan tomonlarigacha bo`lgan masofalar yig`indisi 6 ga teng bo`lsa, uchburchak yuzini toping. A) 12√3 B) 99 C) 55 D) 84 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) 126 C) 135 D) 180 13 / 25 13. Agar x2−8x+20z+4z2+41=0 tenglik o`rinli bo`lsa, xz ni toping. A) -20 B) -40 C) -5 D) -10 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) 2 B) 1 C) 0,5 D) 3 15 / 25 15. Tenglamalar sistemasi nechta yechimga ega? A) 4 B) 6 C) 2 D) 1 16 / 25 16. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) IV B) II C) I D) III 17 / 25 17. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 20 B) 7 C) 27 D) 24 18 / 25 18. 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) 3 C) 1 D) 4 19 / 25 19. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) -2 C) 6 D) 8 20 / 25 20. 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 D) a=b+1 21 / 25 21. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a = 1 C) a=−3 D) a ≠1 22 / 25 22. 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) 3 B) 2 C) 5 D) 4 23 / 25 23. 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) 1 C) 2 D) 4 24 / 25 24. ABC uchburchakda AL bissektrisa o’tkazildi. AB va BL kesmalarda E va D nuqtalar mos ravishda shunday olinganki, DL=LC, ED∥ AC. Agar AE=15, AC=12 ekani ma’lum bo’lsa, ED kesma uzunligini toping. A) 3 B) 4 C) 2 D) 5 25 / 25 25. Teng yonli ABC (AC=BC) uchburchakning AC tomonida D nuqta olingan. K - BD kesma va AH balandlik kesishgan nuqta. Agar AD=AK bo‘lsa, u holda DBA burchakni toping. A) 60° B) 45° C) 75° D) 30° 0% Testni qayta ishga tushiring Tomonidan Wordpress Quiz plugin Author: InfoMaster Foydali bo'lsa mamnunmiz