Matematika 2018. Baza
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BAZA 2018 (Matematika) (1) [uzsmart.uz]
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948. 99 9 2 2 + sonini 49 ga bo‘lgandagi qoldiqni toping. A)
0 B) 40 C) 39 D) 1
949. 9 log 10 a = va
lg11 b = sonlar orasidagi munosabatni aniqlang. A)
b > B) a b <
C) a b = D) 1 a b = +
950. A BC uchburchakda BH balandlik va BM
medianalar. Agar 1, 2
BC = = va A M BM = bo‘lsa, MBH Р burchakni hisoblang. A) arccos 0, 8 B)
arcsin 0, 8
C) arcsin 0, 6 D) arccos 0, 6
( )
) ( ) 3 3 3 30 x y y z z x - + - + - =
tenglamani qanoatlantiruvchi ( ) , , x y z
butun sonlar uchliklari nechta. A) 0 B) 3 C) 4 D) 2
952. m ning qanday qiymatida ( ) 5
2 3 2 n n n n P x x x mx x = - + + + ko‘phad 2
ga qoldiqsiz bo‘linadi. A) 2
1 C) 5
D) 3
953. Ushbu ( ) ( ) ( ) 3 3 3 30
y y z z x - + - + - =
tenglamani qanoatlantiruvchi ( ) , , x y z
butun sonlar uchliklarini toping. A) 0 B) 3 C) 4 D) 2
954. Burchaklaridan hech biri o‘tmas bo‘lmagan uchburchakka tashqi chizilgan aylana radiusi 5 ga teng bo‘lsa, u holda shu uchburchak medianalari yig‘indisining eng kichik qiymatini toping. A) 20
10
C)
22, 5 D) 5
955. Yig‘indini hisoblang: 1 2 3 99 ... 2! 3! 4 ! 100! + + + +
A) 1 1 100! -
B)
1 1 100! +
C)
1 1 2 100! + D) 1 1 2 100! -
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956. Agar 2 2010 2010 2
+ bo‘lsa, ( ) 2 2 k k +
ning oxirgi raqamini toping. A) 0 B) 2
C) 4 D) 6
957. A BC -uchburchakda ( )
) cos 2
sin 2
B A B - + + = va 4 A B = bo‘lsa, BC ni toping. A) 2
3 C)
2
D) 2 2
Ushbu 2
6 13 14 58 x x x x - + + - + ifodaning eng kichik qiymatini toping. A) 41
51 C)
3 25 D) 43
959. Aylanaga A BCD to‘rtburchak ichki chizilgan. Agar 3, 4 A B BC = = , 7, 5 CD A D = = bo‘lsa, uning diagonallari ko‘paytmasini toping. A) 47
43 C) 41
D) 42
bo‘lsa, 1 1 1 ? a b c + + =
A) 2 k B)
1 k C) k D) 2 1
961. Tenglama butun sonlarda nechta yechimga ega?
2 2 1985 x y - = A) 12 ta B) 8 ta C) 10 ta D) 9 ta
n S arifmetil progressiyaning birinchi n ta hadining yig‘indisi bo‘lsa, ( )
2 1 3 3 n n n n S S S S + + + - + - ni hisoblang. A) 1 B) n S C)
n
D) 0
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49 ta kvadratchalarga bo‘lindi. Hosil bo‘lgan shaklda nechta kvadrat hosil bo‘ladi? A) 50
140 C) 343 D)
344
964. Agar
bo‘lsa, ( ( ( ))) tenglamani yeching. A) ildizi yo‘q B) 16 7
± -
C) 32 7 7 ± + D) 16 7 7 ± +
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, ,
uchlik
3 - 1 0 x x + = ning ildizlari bo‘lsa,
1 1 1 1 1 1
b c + + + + + ni toping. A)
2 B) 2 -
3 D) 3 -
966. 56 51 35 28 5 , 10 , 17 ,
31 a b c d = = = = o‘sib borish tartibida joylashtiring. A) , , ,
B) , , ,
C) , , ,
a d b c D) , , ,
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sin 8
x = tenglamaning nechta haqiqiy ildizi bor? A) 5 B) 7 C) 8 D) 10
968. Hisoblang: 1 1 1 ...
2[ 1] 1 2[ 2] 1 2[ 100]
1 + + + + + +
(bunda x x й щ-
л ы ning butun qismi). A) 190
21 B) 189 21
180 21
969. Hisoblang 0 0 0 0 0 0 0 sin 10 sin 20 ...
sin 70 sin 80
cos 5 cos10 cos 20 + + + +
A) 4 3
B) 8 3
C) 4 2 D) 8 2
970. Taqqoslang:
va
A) a b > B) a b <
C) a b = D) aniqlab bo‘lmaydi 971. | | | | | | | | bo‘lsa @ Matematikafly O’razboyev Jahongir Jalilov Olimjon
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min f ni toping. A) 49 B)50 C)51 D)52
12
13 39 1584 2028 2366
2002 + + -
A) 1 1001
-
B) 0
C) 1 91
D)1
A)
- B) 11( )
z -
C) y z -
D) x y -
974. sin
2 x x tenglamaning ildizlari sonini toping. A) 0 B) 1 C) 2 D) 3 975. ushbu kvadratning tomoni 1 ga teng bo‘lsa, bo‘yalgan soha yuzini toping. A) 2
B) 2 2
C) 2 1 3
D) 2 3 4
1 222
1 155
1 1
w x y z + = + + + tenglamada , , , ,
u w x y z lar natural sonlar bo‘lsa, 4 3
10 10 10 10 z y x w u + + + + qanday son bo‘ladi? A) 12345 B) 45321 C) 21345 D) 21435
0 17
11 23 2 3 4
x x x y funksiya va unga 5
x nuqtada o‘tkazilgan urinmaning nechta umumiy nuqtasi bor? A) 1 B) 2 C) 3 D) 4
a x 2 4 cos 2 tenglamada a ning qaysi qiymatlarida shu tenglama hech bo‘lmaganda bitta yechimga ega bo‘ladi? A)
1 ; 1 B)
cos ; 1
C) 4 cos
; 2 cos D) 2 ; 2
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36 bo‘lsa, x+y+z yig‘indining eng kichik miqdorini toping. A) 14 B) 17 C) 2 D) 23
2 parabolaning OX o‘qiga nisbatan simmetrigini toping. A) y = 5x – x 2 – 6
B) y = x 2 – 5x – 6 C) y = x 2 + 5x – 6 D) y = 6 – 5x – x 2
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0 1
x x tenglik o‘rinli bo‘lsa, 10
quyidagilardan qaysi biriga teng? A) 1 2 2 3
x x B) 1 2
x x
C) 1 2 2 3 x x x D) 1 2
x x
2 2 2 2 2 2 2 2 b a xy y x ab b a xy y x ab
A) by ax by ax B)
by ax by ax @ Matematikafly O’razboyev Jahongir Jalilov Olimjon
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C)
by ax bx ay D)
bx ay bx ay 983. 2 79 ... 7 5 3 a bo‘lsa, ? 237
... 21 15 3 12
A) 3 a B) 3 3
a
C) 3a D)
3
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17+20+23+26+…+9n+8 A)
2 25 9 2 3 n n
B) (2n-6)(9n+25) C)
2 23 5 3 3 n n
D) 3(n-1)(9n+25)
2 -5x-3)Q(x-1)+3x-4 ko‘phad berilgan. P(x) - ko‘phadning koeffitsiyentlari yig‘indisi 13 ga teng bo‘lsa, Q(x) – ko‘phadning ozod hadini toping. A) 2 B) -1 C) -2 D) 1
1 1 1 1 2 2 y xy x tenglama nechta musbat butun yechimga ega? A) 4 B) cheksiz ko‘p C) Ø D) 1
3 3 2 5 7 1 2 5 7
bo‘lsa, 14 3 3 x x ifodaning qiymatini toping. A) 0 B) 1 C) 2 D) 3
2 + bx + c = 0 tenglama haqiqiy yechimga ega emasligi ma’lum. Koeffitsiyent c ning ishorasini aniqlang. A) c>0 B) c<0 C) c=0 D) aniqlab bo‘lmaydi.
ga teng. Uchburchakning ichida shunday M nuqta olinganki, bunda . ni hisoblang. A) B) C) D)
yon tomoni esa unga tashqi chizilgan aylana markazidan burchak ostida ko‘rinsa, trapetsiyaning yuzini toping. A)
2 cos
2
S B) 2 2 ctg h S
C) 2 sin 2
S D) ctg h S 2 2 1
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BAC=30
0 ,
CAD=50
0 , ADB=60 0 va BDC=20
0 ekani
ma’lum. ACB=? A) 40
0 B) 60 0
C) 70 0 D) 80 0
992. a ning qanday qiymatlarida 2 1 2 3 2 2
x ax x tengsizlik x ning barcha qiymatlarida o‘rinli bo‘ladi? A) -1<a<2 B) -3<a<2 C) -2<a<1 D) a>0
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