1-kurs test savollari

1-kurs yozma ish savollari
1. Agar - =69993, - =792 va - =72 bo’lsa, u holda ni toping.
2. Agar x, y sonlari x²+y² +(y-1)²=2xy tenglikni qanoatlantirsa, x+y ni toping.

3 Agar musbat a, b va c sonlari a + b + c> 1/a +1/b +1/c tengsizlikni qanoatlantirsa, a³+b³+ c³ > a+b+c ni isbotlang.

4. Muntazzam uchburchakda ichidan olingan ixtiyoriy nuqtadan uning tomonlarigacha bo’lgan masofalar yig’indisi uchburchak balandligiga tengligini isbotlang.

5. To’g’ri burchakli uchburchakning kateti 8 sm , uning gepotinuzadagi proeksiyasi 6,4 sm. Shu uchburchak yuzasi necha sm² ?

II-kurs test savollari

1. Sonlarni kamayish tartibida joylashtiring. m=0,55(57) , n=0,5(557), p=0,555(7)

A p>m>n B p>n>m C m>n>p D n>p>m

2 Ushbu Sin(π /x) = 0 tenglamaning [0,05; 0,1] oraliqda nechta ildizi bor?

A) 4B) 3 C) 5 D) 1

3. Agar 49^z+49^-z=7 bo’lsa , 7^z + 7^-z ni hisoblang.

A) 4 B) C)3 D)-3
4. -a² -b² ni ab va a+b orqali ifodalang.
A) (a+b)² -2ab B)- (a+b)² +2ab C) (a+b)² -ab D) (a-b)² +ab

5. Ushbu b⁷x-bx⁷ ifodani ko’pi bilan nechta ko’paytuvchilarga ajratish mumkin.

A) 3 B)5 C) 6 D) 7
6. f(x) = 0,6x⁵ -2x³ – 1 funksiyaning maksimum nuqtasini toping.
A) 0 B) 1 C) D) -
7. Ushbu (2n-3)/(n+1) ifoda n ning nechta natural qiymatida butun son bo’ladi.?
A) 3 B) 2C) 4 D) 1
8. Hisoblang. (1-1/3²)(1-1/4²)…(1-1/101²)
A)157/303 B)142/303 C) 64/101 D) 68/101
9. Ifodani soddalashtiring. 19/( -1) -2 +3
A)1 B)2 C) 2 +4 D) 4
10. Tenglamani yeching. 2,8x-3(2x-1)=2,8-3,19x

A) -20 B)20 C)10 D)-10

11. Agar (3x-1)(x-2)= 0 bo’lsa, 3x-1 qanday qiymatlarni qabul qilish mumkin?
A) faqat 1/3 B) 0 yoki 1/3 C) 0 yoki 5D) faqat 5
12. (x+1)(x+2)(x+4)(x+5)= 40 (x ) tenglamaning ildizlar yig’indisini toping.
A)-6 B) 0 C) 6 D) 7
13 (x,y) sonlar jufti sistemaning yechimi bo’lsa , x+y ni toping.
A)3 B)-3 C)1 D) 0
14 Tengsizlikni qanoatlantiruvchi butun sonlar nechta? > x-1
A)5 B)4 C)3 D)1
15. Tengsizlik nechta butun yechimga ega?
A)12 B)10 C) 11D) 9
16. O’ziga qo’shni burchakning 44%iga teng bo’lgan burchakni toping.
A) 55⁰B) 80⁰C)60⁰ D) 70⁰
17. Uzunligi 4,2 kesmani 3:4 nisbatda bo’ling.
A)1,8 va 2,4 B)1,2va 3 C) 2va 2,2D)1va 3,1
18. a ning qanday qiymatlarida uzunliklari mos ravishda 1+2a, 1-a va 2 ga teng bo’lgan kesmalardan uchburchak yasash mumkin?
A) (0,1/3) B) (1, 2/3) C) (-2/3, 0) D)(-1/2, 1) A) B) C) D)

19. Teng yonli uchburchakning perimetri 10, yon tomoni asosidan 12 marta uzun. Uchburchak asosi qancha?

A) 0,8 B) 0,7 C) 0,5 D) 2
20. ABC teng yonli uchburchakda AB=BC . AB-AC =3dm, perimetri 18dm.
AB+AC necha dm ?
A)11 B)12 C) 13 D) 10
21. ABC uchburchakning DE o’rta chizig’I o’tkazilgan. Agar 0 , BE=3 va DE=2 bo’lsa, AB ni toping.
A) 3 B) C)3 D) 2
22. ABC uchburchakda AB=2, BC=3va AC=4 bo’lsa, C burchak sinusini toping.
A) B) C) 1/2 D) 1/4
23. Uchburchakning a, b va c tomonlari orasida a²= b²+c²+ bc tenglikni qanoatlantiradi. a tomon qarshisidagi burchakni toping.
A)15⁰ B)150⁰ C)125⁰ D)120⁰
24 Tomonlari 10, 6 va 8 bo’lgan uchburchakning katta tomoniga tushirilgan medianasini toping. A)5 B)4 C)7 D)2
25 Uchburchakning burchaklari 1:2:3 kabi nisbatda. Uchburchak katta tomonining kichik tomoniga nisbatini aniqlang.
A)1 B)2 C)3 D)4