Algebradan yozma ish-1

Matematika 9-sinf
|1
Shunday natural sonni topingki, uni 25% teskarisiga teng bo'lsin.
a) 2 b) ½ s) 4 d) 5 e)1/5

|2 4/5; 30/17; 18/85 sonlarga bo'linadigan eng kichik natural sonni toping.

a) 45 b) 90 s)85 d) 180 e) 360
3 (х-1)(x-2)(x-3)(x-4)+10 ifodaning eng kichik qiymatini toping.
a) 10 b) 9 s)8 d)6 e)4
4 Agar a<0, b<0, c<0 va ab=2/3, bc=3/4, ca=4/5 bo'lsa, a,b,c sonlarni o'sish tartibida joylashtiring.
a) b<а<с b)а5 Quyidagi funksiyaning aniqlanish sohasiga kiruvchi eng kichik butun sonni toping:
________
у=√5+4x-x ²
a) -1 b)0 s) 1 d)2 e) -2
6 Agar х 41 0va х 42 0sonlar х 52 0+2x-1=0 tenglamaning ildizlari bo'lsa,
х 41 54 0+x 42 54 0 ni hisoblang.
#1
34
#2
36
#3
-2
#4
0
#5
4
7 f(x)=(┌3x+2-2x)/x funksiyaning aniqlanish sohasiga nechta butun son kiradi?
#1
1
#2
2
#3
3
#4
4
#5
cheksiz ko'p
8 x 52-│ 05x+6│>0 tengsizlikning eng katta butun manfiy va eng kichik butun musbat yechimlari ko'paytmasini toping.
#1
-7
#2
-18
#3
-28
#4
-12
#5
-14
|9 To'g'ri burchakli uchburchakning yuzini gipotenuzaga tushirilgan balandlik h va o'tkir burchagi ╒ orqali ifodalang.
#1
h 52 0/sin╒cos╒
#2
h 52 0sin2╒
#3
h 52 0/sin2╒
#4
h 52 0sin 52 0╒
#5
h 52 0cos 52 0╒
|10 Trapetsiyaning asoslari 17 metr va 7 metr. Trapetsiyaning asoslarga parallel va uni ikkita teng qismga bo'luvchi kesmaning uzunligini toping.
#1
12
#2
8,5
#3
15
#4
14
#5
13
|11Agar ichki burchagi 150^ bo'lgan muntazam ko'pyoqning diagonallari sonini toping.
#1
44
#2
54
#3
65
#4
35
#5
27
|12 To'g'ri burchakli uchburchakning medianalarining kvadrati yig'indisi gipotenuza kvadratining necha foizini tashkil etadi?
#1
120%
#2
150%
#3
175%
#4
to'g'ri javob yo'q
#5
125%
|13 а(4;3); b(1;-2) vektorlar berilgan. -2a+3b vektorning uzunligini toping.
#1
12
#2
10
#3
13
#4
10+3┌5
#5
17
|14 а soni b sonidan 25% ga ortiq. b soni a sonining necha
foiziga kichik?
#1
25
#2
80
#3
75
#4
20
#5
to'g'ri javob yo'q
|15 у=x 52 0-2│x-2│ funksiyaning eng kichik qiymatini toping.
#1
-5
#2
-4
#3
-3
#4
0
#5
1
|16 х 41 52 4+ 0x 41 52 0ifodaning eng kichik qiymatini toping, bu yerda х 41 0 va x 42 0 lar
x 52 0+(m+2)x+3m-4=0 tenglamaning ildizlari.
#1
9
#2
10
#3
11
#4
12
#5
13
|17 m ning qanday qiymatlarida x 52 0+(m+2)x+8m+1>0 tengsizlik x ning har qanday haqiqiy qiymatlarida o'rinli?
#1
(0;28)
#2
[0;28]
#3
(1;28)
#4
[1;28)
#5
(1;28]
|18 Natural sonlar 1234567891011...kabi ketma-ket yozilgan. 2005 o'rinda qanday raqam turibdi?
#1
0
#2
3
#3
5
#4
7
#5
8
|19
To'g'ri burchakli trapetsiyada diagonal yon tomonga perpendikulyar,
o'tkir burchagi 45^ ga teng. Trapetsiya asoslari nisbatini toping.
#1
1:2
#2
1:┌2
#3
1:┌3
#4
2:3
#5
1:3
|20
ABC uchburchakda bissektrisalar kesishish nuqtasi tomonlarining biridan
1,5 sm uzoqlikda yotibdi. Uchburchakning perimetri 16 sm. Uchburchak yuzini
toping.
#1
12
#2
10
#3
8
#4
15
#5
18
|21
x ning qanday qiymatida у=-x 52 0+10x-17 funksiya eng katta qiymatiga erishadi?
#1
4
#2
5
#3
6
#4
8
#5
7
|22
cos134^, ctg286^, tg(-171^), sin108^ larni ishorasini toping.
Ishoralarni to'g'ri joylashishini toping.
#1
+--+
#2
--++
#3
-+-+
#4
-+--
#5
++--
|23
cos╒ =4/5; 270^<╒<360^ bo'lsa, sin╒-ctg╒ ifodani qiymatini toping.
#1
-11/15
#2
29/15
#3
11/15
#4
-29/15
#5
14/15
|24
x 5-3/4 0=8 va (2/3) 5x 0=1,5 tenglamalar yechimlari yig'indisini toping.
#1
-15/16
#2
17/16
#3
17
#4
15
#5
15/16
|25
3x 52 0+bх+4=0 tenglama yechimlaridan biri 1, ikkinchisi 2х-3=m tenglama
yechimiga teng. m ni toping.
#1
-1/3
#2
1/3
#3
-2/3
#4
2/3
#5
-1

|26
Kub qirrasi uzunligi 2 birlikka teng. M, N va P nuqtalar kubning bir

uchidan chiqqan qirralarning o'rtasi bo'lsin. Shu qirradan MNP uchburchak
joylashgan tekislikkacha bo'lgan masofani toping.
#1
┌2/2
#2
┌2/3
#3
3
#4
2
#5
3/2
27
____ ___
M to'plam 53 0┌24+x + ┌12-x=6 va x+sin 54 0x+sin 52 02x/2+cos 54 0x=2 tenglamalar
ildizlari to'plami birlashmasi bo'lsin. M to'plamning eng katta sonini
eng kichik soniga nisbatini toping.
#1
-3/88
#2
1/8
#3
-1
#4
1/3
#5
to'g'ri javob yo'q
|28
┌log 413 07 ┌log 413 0┌log 47 05
x 52 0+(5 - 7 )x-log 42 0256=0. Tenglamaning ildizlaridan
eng kichigini toping.
#1
log 42 07
#2
log 42 05
#3
4┌2
#4
2┌2
#5
to'g'ri javob yo'q
|29
Bo'sh idishga har sekundda o'z hajmini ikki marta orttira oladigan modda
bo'lagi solindi. Idish 1 soatdan keyin to'ldi. Idishga modda bo'lagi
solingandan keyin qancha vaqtdan keyin idishning yarmi to'lgan?
#1
29 min
#2
30 min
#3
59 min 59 sek
#4
32 min
#5
to'g'ri javob yo'q
30
Agar tg╒=1/2 va sin╓=1/┌10 bo'lsa, ╒+╓ nimaga teng?
#1
П/3
#2
П/4
#3
П/2
#4
П
#5
arcsin(1/7)
|31
Ikkinchi korxonaning daromadi birinchi birinchi korxona daromadining 116%ini,
uchinchi korxona daromadining 80%ini tashkil etadi. Uchinchi korxona daromadi
birinchi korxona daromadining necha foizini tashkil etadi?
#1
105%
#2
111%
#3
133%
#4
150%
#5
145%
|32
sin103^;cos162^;cos196^;sin314^;sin20^ sonlardan eng kichigini toping.
#1
sin103^
#2
cos162^
#3
cos196^
#4
sin314^
#5
sin20^
33
ABC teng yonli uchburchakning A burchagi bissektrisasi BC tomonni
D nuqtada kesib o'tadi. ADB burchak 30^ bo'lsa, B burchakni toping.
#1
150^
#2
140^
#3
100^
#4
130^
#5
to'g'ri javob yo'q
|34
Tengsizlikni yeching: x 52 0╖-x 55 0 .
#1
(-oo; -1] U { 0 }
#2
(oo; 1)
#3
(oo; 1]
#4
(oo; 1] U [0; oo)
#5
bo'sh to'plam
|35
1; 2sinx; 6cosx ketma-ketlik geometrik progressiya tashkil etadigan
x ning [180^;360^] oraliqdagi barcha qiymatlarini toping.
#1
300^
#2
180^
#3
270^
#4
120^;240^
#5
x ning bunday qiymatlari yo'q
|36
Idishda 40%i tuz bo'lgan 1500 gramm aralashma bor. 70%li aralashma
hosil qilish uchun idishga necha gramm tuz solish kerak?
#1
1000
#2
450
#3
15
#4
150
#5
1500
|37
Funksiyaning aniqlanish sohasini toping: f(x)=log 41/2 0(6-┌(3x-15)) .
#1
(-oo;17)
#2
[5;17)
#3
(-oo;5]
#4
(-oo;5]U(17;oo)
#5
[5;oo)
|38
ABC uchburchakda AD va CF bissektrisalar orasidagi o'tkir burchak 26^ ga
teng. B uchdagi burchak topilsin.
#1
128^
#2
132^
#3
100^
#4
90^
#5
144^
|39
ABCD to'rtburchakning, mos ravishda 3 va 4 ga teng bo'lgan, AC va BD
diagonallari 30^ li burchak ostida kesishadi. Uchlari AB, BC va CD
tomonlarning o'rtasida bo'lgan uchburchakning yuzini toping.
#1
1/4
#2
3/4
#3
3/2
#4
1
#5
3┌2/2
|40
Katetlarining son qiymati ┌5x 52 0-23x+25=0 tenglamaning ildizlariga teng
bo'lgan to'g'ri burchakli uchburchakning yuzini toping.
#1
5┌5
#2
11,5┌5
#3
23
#4
25
#5
2,5┌5
41
│x 52 0-19│=-18x tenglama ildizlari yig'indisi quyidagilardan qaysi biri?
#1
-20
#2
20
#3
-18
#4
18
#5
0
42
Uchburchakning ikkita tomonining uzunligi mos ravishda 8 va 17 sm.
Uchinchi tomon uzunligi butun sondir. Bu shartlarni qanoatlantiradigan
nechta har xil o'tmas burchakli uchburchak mavjud?
#1
11
#2
2
#3
12
#4
10
#5
7
|43
Berilgan uchburchakni yuzalari teng ikki qismga bo'luvchi nechta
to'g'ri chiziq mavjud?
#1
bitta
#2
ikkita
#3
uchta
#4
oltita
#5
cheksiz ko'p
|44
Piramidaning balandligi 1 ga teng. Piramidani bir xil hajmdagi ikki
qismga ajratuvchi va asosiga parallel bo'lgan tekislikni uning uchidan qanday
masofada o'tkazish kerak?
#1
1/2
#2
┌(1/2)
#3
53 0┌(1/2)
#4
2/3
#5
javob piramidaning ko'rinishiga bog'liq
|45
a ning qanday qiymatlarida x 52 0+3x+a+0,75=0 tenglamaning ikkala
ildizi manfiy?
#1
0,5#2
-0,75#3
0,6#4
0,8#5
0,9|46
Beshta sonning o'rta arifmetigi 13 ga teng. O'rta arifmetigi 19 bo'lishi
uchun bu sonlarga qanday sonni qo'shish kerak?
#1
49
#2
40
#3
46
#4
54
#5
38
47
Qanday eng kichik butun son quyidagi tengsizlikni qanoatlantiradi:
2 54x-2 0/8>(┌2) 510
#1
2
#2
1
#3
3
#4
4
#5
5
|48
Piramidaning asosi diagonali 6ga teng kvadratdir. Yon qirralaridan
biri asosiga perpendikulyar. Katta yon qirrasi asosiga 45^ burchak
ostida og'gan. Piramida hajmi nechaga teng?
#1
32
#2
34
#3
38
#4
40
#5
49
|24
y=4+(16arcsin(3x-2))/П funksiyaning eng kichik qiymatini toping.
#1
-4
#2
4
#3
-2
#4
0
#5
-6
50
30 kishidan iborat turistlar guruhidan 20 tasi ingliz tilini, 15 tasi
fransuz tilini biladi. Guruhdagi necha kishi ikkala tilni biladi?
#1
5
#2
10
#3
15
#4
5 tadan 10 tagacha
#5
5 tadan 15 tagacha