9-sinf matematika fanidan olimpiada test savollari.
1-variant.
1. y=2x + x parabola uchining koordinatalarini toping.
A)( B)(12;-24) C) (12;24) D) (
2. c ning shunday qiymatini topingki, y=- parabola bilan y= cx-1 to`g`ri chiziqning kesishish nuqtalaridan birining absissasi x = -1 bo`lsin.
A)-1.5 B)0.5 C)1.5 D)-0.5
3. y=0,1x -2x+0,5 parabola grafigi qaysi choraklarda joylashgan?
A) 1, 3, 4 B)2,3,4 C)1,2,4 D)1,2,3
4. M(-1;7) va N(1;-7) nuqtalardan o`tuvchi to`g`ri chiziq tenglamasini yozing.
A) y=-4x B) y=-7x C) y=7x D) y=4x
5. x ning qanday qiymatida kasr va kasrlar ayirmasidan kichik bo`ladi?
A) x>1 B) x<1 C) x<2 D)x>3
6. |2- | >1 tengsizlikni yeching.
A) 3-3 D) x<3; x>9
7. Tenglamani yeching: =3-2x
A) x=1,5 B) x≤1,5 C) x≥0,5 D) x≤4,5
8. b ning qanday qiymatlarida b-2= tenglama musbat ildizga ega?
A)-19. ifoda n ning nechta natural qiymatida butun son bo`ladi?
A) 1 B)4 C) 2 D) 3
10. a ning qanday qiymatlarida ma`noga ega bo`ladi?
A) a≥2 B) a≤1 va a>2 C) -111. Ushbu x +px-12=0 tenglamaning ildizlaridan biri -3 ga teng.Shu tenglamaning koeffisiyentlar yig`indisini toping.
A)-10 B)8 C)-12 D)11
12. y= funksiyaning aniqlanish sohasini toping.
A)-3≤x≤1 B)x≤ -3va x≥1 C)x≤1 D) x≥-3
13. Ikkita o`xshash uchburchak yuzlari 75 sm va 300 sm . Birinchi uchburchakning bir tomoni 7 sm bo`lsa , ikkinchi uchburchakning unga mos tomonini toping.
A)12 sm B) 14 sm C)11 sm D)13 sm
14. Rombning 3 gat eng bo`lgan balandligi tomonni teng ikkiga bo`ladi. . Rombning perimetrini toping.
A)24 B)12 C)36 D)8
15. Perimetri 28 sm bo`lgan uchburchakning balandligi uni perimetrlari 14 sm va 18 sm bo`lgan ikkita uchburchakka ajratadi.Uchburchak balandligini toping.
A)5 sm B)3 sm C)4 sm D) 2 sm
16. To`g`ri burchakli uchburchakning gipotenuzasi 15 sm va burcaklaridan biri 45 . Uning yuzini toping.
A)46.24 sm B)24.56 sm C)56.25 sm D)20.25sm
17. O`tkir burchagi 30 ga ,balandligi 4 sm bo`lgan rombning yuzini toping.
A)24 sm B)32 sm C)18 sm D)28sm
18. Qavariq 12 burchakning diagonallari soni nechta?
A)48 B)36 C)54 D)60
19. ≤0 tengsizlikning barcha butun yechimlari nechta?
20. p ning nechta butun qiymatida x +px+9=0 tenglama haqiqiy ildizga ega emas?
21. Ikki sonning eng kichik umumiy karralisi 80 ga,eng katta umumiy bo`luvchisi 4 ga teng.Shu sonlarning ko`paytmasini toping.
22. Agar (-1;4) nuqta y=-3x +kx-6 parabolaga tegishli bo`lsa, k ning qiymatini toping.
23. ABCD rombda sinA=0.6 va AB=12 sm bo`lsa, romb yuzini toping.
24. Perimetrlari 20 m va 30 m bo`lgan ikkita o`xshash ko`pburchak yuzlarining nisbatini toping.
25. Teng yonli to`g`ri burchakli uchburchak gipotenuzasi 8 sm.Uning yuzini hisoblang.
3>0>9>2>
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