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 334 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. Abituriyentga 36 ta masala berildi. To‘g‘ri yechilgan har biriga 3 ball beriladi. Noto‘g‘risiga 2 ball chegiriladi. 88 ball to‘plashi uchun o‘quvchi nechta masalani to‘g‘ri yechishi kerak? A) 30 B) 34 C) 32 D) 38 2 / 25 2. Hisoblang: A) 1 B) 0,5 C) 1,5 D) 5 3 / 25 3. Tarkibida 85% suv bo‘lgan 0,5 t sellyuloza qorishmasida 75% suv bo‘lgan qorishma olish uchun necha kg suvni bug‘lantirish kerak? A) 400 B) 100 C) 300 D) 200 4 / 25 4. tengsizlikni yeching. A) (-∞;-1/2)∪(-1/2;∞) B) xℇR C) (-∞;3)∪(3;∞) D) (-∞;-1/2)∪(-1/2;3)∪(3;∞) 5 / 25 5. 20 dan 250 gacha sonlarichida 4 ga bo`linadigan, lekin 6 ga bo`linmaydigan nechta natural son bor? A) 39 B) 48 C) 33 D) 30 6 / 25 6. f(x) funksiyani toping. A) 1/(1-x) B) 1/x C) (1-x)/(1+x) D) (1+x)/(1-x) 7 / 25 7. (a2- 9)x = a2+ 2a - 3 tenglama a ningqandayqiymatidacheksizko’pyechimgaega? A) a=2 ; a = -3 B) a=−3 C) a ≠1 D) a = 1 8 / 25 8. 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 9 / 25 9. Tenglamalar sistemasi nechta yechimga ega? A) 1 B) 6 C) 2 D) 4 10 / 25 10. 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) 135 C) 145 D) 126 11 / 25 11. 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) 3 C) 4 D) 5 12 / 25 12. Agar f(x) = (a + b − 4)x3+ 2x2+ (b − 3)x +6 juftfunksiyaberilganbo’lsa, f(b) ningqiymatini toping. A) 7 B) 24 C) 27 D) 20 13 / 25 13. 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) 0,5 B) 3 C) 2 D) 1 14 / 25 14. Agar sin x + cos x = 1,04 tenglik o’rinli bo’lsa, x qaysi chorakda joylashgan? A) I B) IV C) II D) III 15 / 25 15. 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 D) a ≤ b 16 / 25 16. Agar bo’lsa , x va y sonlarning ko’paytmasini toping. A) -4 B) 8 C) -2 D) 6 17 / 25 17. 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) 16 B) 4 C) 64 D) 36 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) 3 B) 1 C) 2 D) 4 19 / 25 19. Hisoblang: cos 10o − 2 cos 50o − cos 70o A) cos40° B) sin40° C) –cos40° D) –sin40° 20 / 25 20. Agar arifmetik progressiyada bo`lsa, ayirmani toping. A) 3 B) 1 C) 2 D) 4 21 / 25 21. Sonlarni o`sish tartibida yozing. A) c B) a C) b D) c 22 / 25 22. x0 soni tenglamani ildizi bo`lsa, x²0 -64 ni toping. A) -48 B) 8 C) 20/69 D) 0 23 / 25 23. 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) 16 C) 21 D) 14 24 / 25 24. Тенгламани ечинг: ((0,001 ∙ ? + 2): 0,3) ∙ 0,01 − 11,2 = 22,2 A) 1000 B) 100 000 C) 1 D) 1 000 000 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) 75° B) 30° C) 60° D) 45° 0% Testni qayta ishga tushiring Author: InfoMaster Foydali bo'lsa mamnunmiz
