Insonni yengib bo’lmaydi
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8-VARIANT
@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
UU/8 1.
( ) ( ) 2; 3;
va 1; 4; 2
m x n − vektorlar perpendikulyar bo’lsa, x ning qiymati qanchaga teng bo’ladi? A) 0 B) −5 C) 5 D) 5
5
2.Agar ( )
( ) ( )
sin 2 bo`lsa , 2 = + + f x x x f f ni hisoblang. A) 2
D) 2−2
3.Umumiy hadi a n = ( ) 6 2
3 1 − +
n N n
bo’lgan ketma−ketlikning nechta hadi (1,7; 2,2) oraliqqa kirmaydi? A) 8 B) 10 C) 4 D) 6
4.M ta sonning o’rta arifmetigi 14 ga, boshqa N tasiniki 28 ga teng. Shu M + N ta sonning o’rta arifmetigini toping.
A) 42
N + B) N M C)
14 28
N M N + + D) 14 28 N M M N + +
5. a ning nechta qiymatida 2 2 1 va + =
y
( ) 2 2 4 x a y − + = aylanalar urinadi? A) 4 B) 3 C) 2 D) 1
6.Maxraji 2 ga teng bo’lgan geometrik progressiyaning dastlabki oltita hadi yig’indisi 126 ga, dastlabki beshta hadi yig’indisi 62 ga teng. Progressiyaning birinchi hadini toping. A) 6 B) 5 C) 4 D) 2
7.ABC uchburchakning yuzi 12 ga teng. Uning B uchidan BD = 3 mediana tushirilgan. Agar ABD = 90° bo’lsa, AC tomonning uzunligini toping. A)
73 B)
2 73 C) 10 D) 8
8.Muntazam uchburchakli piramidaning yon qirrasi 20 ga, asosining tomoni 16 3
ga teng. Piramidaning balandligini toping. A) 8 3
B) 12 C) 8 D) 16
9.Muntazam piramidaning yon sirti to’la sirtining 60% ini tashkil etadi. Piramidaning yon yoqlari va asos tekisligi orasidagi burchakni toping. A) 1
4 B) 60° C) 2 arccos
3 D)
1 arccos
5
10. 3 5 6 − =
x y funksiyaning grafigiga x 0 = 1 nuqtada o’tkazilgan urinma va koordinata o’qlari bilan chegaralangan uchburchakning yuzini toping. A) 4
B) 2 25 C) 8 75 D) 6 25
11.(a+b)(a+b+1)−(a−b)(a−b−1) ni ko’paytuvchilarga ajrating. A) 4a(b+1) B) 2(a+b)(b+1) C) 2a(2b+1) D) 2a(b−1)
12.To’g’ri to'rtburchak ning to’g’ri burchagi uchidan uning diagonaliga tushirilgan perpendikulyar to’g’ri burchakni 3:2 kabi nisbatda bo’ladi. Shu perpendikulyar bilan boshqa diagonal orasidagi burchakni toping. A) 72º B) 22,5º C) 18º D) 45º
13.m ning qanday qiymatlarida − = − − = − 4 3 2 1 m y x m y x
tenglamalar sistemasining yechimi koordinata tekisligining I choragiga tegishli bo’ladi? A) (2; ∞) B) (−∞; ∞) C)
2 ; 3 5 D)
− 3 5 ;
14. ( ) 2 3 arccos( 2) 9 log 5 2
x y x − + − = − funksiyaning aniqlanish sohasiga tegishli butun sonlar neshta? A) 3 B) Bunday sonlar yo’q C) 4 D) 1
15. 2 4 2 2 − + − =
x y funksiyaning qiymatlar to’plamini toping. A)
) − ; 2 B) ) ; 2 C) ) ; 4 D)
( ) ; 0
16. ( ) 1 cos 1 0 2 x x tg + + = tenglamani yeching. A) 2
2 − +
k k Z B)
2 ,
+
C)
, k k
D) ,
+
17. 10 11 3 2 + yig’indining oxirgi raqmini toping. A) 3 B) 5 C) 1 D) 7
18.
2 a i j = + va 2 2 b j k = −
+ vektorlarda yasalgan parallelogrammning diagonallari orasidagi burchakni toping.
@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
A) 1 arccos
17 B)
3 arccos
21
C) arccos 2 D) 6 19.
( ) 5 4 5 4 = + + +
+ −
x x funksiya uchun quyidagilardan qaysi biri o’rinli bo’ladi? A) toq ham, juft ham emas B) toq funksiya C) o’suvchi funksiya D) juft funksiya
20 2 2 5 6 4 0 x y x y + − − + =
aylananing abssissa o’qidan ajratgan kesma uzunligini toping. A) 3
5 D) 3
21.Agar
( ) 2 2 4 2 2
y x y − + = − +
= bo’lsa, x y + ni toping. A) 4 yoki 2 yoki 0 B) 0 yoki 3 C) 2 yoki 4 D) 0 yoki 4
22. 1 3 1 9 1 27 1 81... − + − ni hisoblang. A) 0,3 B) 0,4 C) 0,5 D) 0,6
23.a ning qanday qiymatida ( ) ( ) 2 2 2 a x a x a + = − +
tenglamaning ildizlari cheksiz ko’p bo’ladi? A) -
2 B) 2 C) 2 ;- 2 D)
( ) ( ) 2 log
1 2
f x x x = − + − funksiyaning aniqlanish sohasini toping. A)
1; 2
B) (1;2) C) ) 1;2 D) ( 1;2
25.Qaysi nuqtada 2 2 8 y x x = + − funksiyaning grafigiga o’tkazilgan urinma 2 8 0 y x + − = to’g’ri chiziqqa paralel bo’ladi? A) (2;8) B)(-2;8) C) (2;-8) D) (-2;-8)
26. 2 3 sin 5 . y x = 10 y
= ? A) 1 3 3 B) 1 C) 2 D) 0 27.Tomonining uzunligi 30 15 3
+ ga teng muntazam uchburchakka ichki chizilgan kvadratning yuzini toping.
A) 1350 B) 1012 C) 506,25 D) 675
28. 2 4 6 cos cos
7 7 7 + + ni hisoblang. A) − 1 2 B) 1 4
1 3 D) 2 3
29. Kordinata tekisligida 2 2
x y y + tengsizlik bilan berilgan shaklning yuzini toping. A) 4
B) 6,5 C) 12 D) 8
30. ( ) ( ) ( ) 6 4 2
x x x + + + ko’paytmaning eng kichik qiymatini toping. A) 9 B) -25 C) -16 D) -9
@alphraganus MAKSBALL UmrzoqUralov
Insonni yengib bo’lmaydi
1 2 3 4 5 6 7 8 9 10 B C C C A D C B C A C C A D B A D A D D D C D D D D D A D
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