Insonni yengib bo’lmaydi
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10-VARIANT
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@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
UU/10 1. Radiusi 2 bo’lgan aylana teng yonli trapetsiyaga ichki chizilgan. Urinish nuqtalari trapetsiyaning yon tomonlarini 1:4 nisbatda bo’lsa, trapetsiya yuzini toping. A) 20 B) 30 C) 24 D)15
2.Aylanaga ichki chizilgan 25 = burchak AB yoyga tiralgan . AB yoyli sektorning yuzi 5 sm 2 ga teng bo’lsa, aylananing radiusini (sm) toping. A) 12 B) 3 C) 2 D) 6
3.
7 sin f x = 2
7 cos 5
+ − funksiyaning eng katta qiymatini toping. A)
15 2 B) 11 4 C) 11 2 D) 15 4
4. 1 x va 2
2 3
2 0
x − + = kvadrat tenglamaning. Ildizlari 1 2
3 x x x − va 2 1 2 3 x x x − ga teng bo’lgan kvadrat tenglamani tuzing. A)
2 3 7 4 0
x − + = B) 2 7 9 2 0 x x + − = C)
2 7 9 2 0
x − + = D) 2 7 9 2 0 x x + + =
5.Bir nuqtadan tekislikka uzinliklari 4 va 8 bo’lgan ikkita o’gma tushirilgan. Og’malar proyeksiyalarning nisbati 1: 5 ga teng. Berilgan nuqtadan tekislikkacha bo’lgan masofani toping. A) 2 B) 2,5 C) 15 D) 3
6.Muntazam ko’pburchakning tashqi burchagi 60 ga,
perimetri 48 ga teng. Uning katta diagonalini toping. A) 20 B) 18 C) 16 D) 12
7.
M x y nuqtaning kordinatalari 2 4,5
6 6 6,5 0 x y x y + − − + = tenglikni qanoatlantiradi. Agar
vektor va OX o’qining musbat yo’nalishi orasidagi burchak bo’lsa, tg ning qiymatini toping. A)
8 9 B ) 4 9 C) 16 81 D) 9 16
8.Nechta butun son 13 2
2 4
x + − tengsizlikning yechimi bo’ladi? A) 1 ta B) 2 ta C) 5 ta D) 3 ta 9. 2
4 x x x + − =
+
tenglamaning ildizlari ko’paytmasini toping. A) 0 B) 6 C) –8 D) –2
10.Asosining radiusi 6 ga teng bo’lgan silindrga konus ichki chizilgan. Konusning asosi bilan, uchi esa silindr ustki asosining markazi bilan ustma–ust tushadi. Konusning yon sirti 60 ga teng. Silindrning yon sirtini toping. A) 94
C) 92
D) 98
11. cos
x y e x =
funksiyaning 0
= nuqtasiga o’tkazilgan urinmaning burchak koeffitsentini toping. A) 𝑒 𝜋 B)
−𝑒 𝜋 C) 1−𝑒 𝜋 D) 1 + 𝑒 𝜋
12.Trapetsiyaning diagonallari uning o’rta chizig’ini uchta teng bo’lakka ajratsa, katta asosning kichik asosga nisbatini toping. A) 3:2 B) 3:1 C) 2:1 D) 5:2
13.Ushbu 3 2 2 3 4 3 2 3 2 1 x x x y x x − − − = + + funksiyaga teskari funksiyani toping. A)
2 1
x = − B) 2
x = +
C)
2 y x = −
D)
1 2 y x = −
14. Agar − − − + = 2 , 4 3 2 , 1 ) (
x x x x f ) 4 9 ( ) 5 ( − − f f ni
hisoblang. A) 6 B) 0 C) 12 D) 9 bo’lsa , 9 (5) ( ) 4 f f − − ni hisoblang. A) 6 B) 0 C) 9 D) 12
15.
2 1 cos 2
2 sin 1
x + − =
tenglamaning 0;2
kesmadagi ildizlari yig’indisini hisoblang. A) 3,5 B) 4 C) 1 3 3 D) 1 3 6
16.O’tmas burchagi 135 0 bo’lgan parallelogrammga ichki chizilgan doiraning yuzi 4 ga teng. Parallelogrammning perimetrini toping. A) 32B) 16 2
C) 32 2
D) 24 2
17.Muntazam to’rtburchakli piramidaning balandligi 24 sm, apofemasi esa 26 sm. Piramida yon sirtining yuzini toping.
@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
A) 2080 B) 580 C) 1040 D) 960 18.
0, 1
x = = va 4
A(2;1), B(1;3) va C(3;3) nuqtalardan o’tuvchi parabola bilan
chegaralangan sohaning yuzini toping.
A) 1 3 3 B)
1 6 3 C) 2 6 3 D) 9
19.
2 cos 2
cos 4 4 3 x x + = tenglamaning 3 7 ; 4 8 kesmaga tegishli nechta yechimi bor? A) 3 B) 0 C) 2 D) 1
20.a ning qanday qiymatlarida 2 y ax 2x c = + +
parabola koordinata o’qlarini A(1;0) va B(0;4) nuqtalarda kesib o’tadi? A) –8 B) –6 C) –4 D) 4
21.Bir uchidan 12
ta diagonal chiqadigan ko’pburchakning ichki burchaklari yig’indisi nechaga teng? A) 2340 B) 2520 C) 2700 D) 2160 22.
1 100
1 ...
1 6 1 1 4 1 1 2 1 2 2 2 2 − + + − + − + − ifodaning qiymati quyidagilardan qaysi biriga teng? A) 100
99 B)
101 50 C) 101 100
D) 200
99
23. ( )
− − = 0
, 1 2 0
, 1 2
agar x x agar x x f bo’lsa, ( ) (
3 −
f ni
toping. A) 8 B) -7 C) 15 D) –16
24. Konusning o’q kesimi teng tomonli uchburchak to’la sirti 18ga teng. Konus asosining yuzini toping. A) 12 B) 3 C) 2 3
25.
? ) 3 ( . 1 2 2 3 2 − − − = + f x x x f
A) –1 B) 9 7 − C) 9 13 − D)
9 5 −
26.Sport maktabining 3ta seksiyasida 140 ta sportchi bor. Konkichilar chang’ichilarning 0,4 qismini, xokkeychilar esa konkichilar va chang’ichilar umumiy sonining 25%ini
tashkil etadi.
Chang’ichilar seksiyasida nechta sportchi bor? A) 80 B) 10 C) 32 D) 28
27.Agar 2 2 3 + − + x nx mx ko’phad
2 2 − − x x ga
qoldiqsiz bo’linsa n m ni toping. A) 2 B)–1 C) –2 D) 1
28.Agar
5 4 x va
80 15 y bo’lsa, x y ning
qiymati qaysi kesmaga tegishli? A)
20 ; 5 , 2 B)
20 ; 5 , 0 C)
10 ; 5 D)
20 ; 3
29. b a x f x + = 3 ) ( funksiya uchun 3
0 ( ' = f va
= 2 1 5 ) ( dx x f bo’lsa, a va b sonlarning qiymatlarini toping. A) a=
3 ln 18 5 ; 3 ln 3 2 + =
B) a= 3
18 5 ; 3 ln 3 2 − = b
C) a= 3 ln 18 5 ; 3 ln 3 2 + = − b D) a=
3 ln 18 5 ; 3 ln 3 2 − = − b
30.Agar = = = 8 1 12 1 6 1 z x z y y x bo’lsa
y x + ni toping. A) 6
− B)
6 1 C) 5 4 D) 6 5
@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
1 2 3 4 5 6 7 8 9 10 A D D C A C C B C B B C B C B B C D D B A B C D D D C D B
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