DTM

Matematika · DTM

muallif: QuizPilot · 92 ta savol · 9 saqlash · 0 layk
QuizPilotda o'ynash
#1
Begzodning uyidan stadiongacha 4,5 km u yo’l-ning yarmini bosib o’tgandan keyin, u stadionga yetish uchun yana necha m yurishi kerak?
  1. 22500 m
  2. 225 m
  3. 2,25 m
  4. 2250 m
Javobni ko'rish
2250 m
#2
Hisoblang: \(\frac{\left(-\frac{7}{5}\right) \cdot \left(-\frac{2}{5}\right)}{-\frac{5}{2}}\)
  1. 2
  2. 5
  3. 5
  4. 2
Javobni ko'rish
2
#3
Kurash musobaqasida 6 nafar sportchi ishtirok etdi ular oltin, kumush, bronza medallarni necha xil usulda olishlari mumkin?
  1. 120
  2. 20
  3. 30
  4. 60
Javobni ko'rish
120
#4
Fudbol musobaqasida 11 nafar sportchi ishtirok etdi, ulardan jamoa sardori va darvozabonni necha xil usulda tanlab olish mumkin?
  1. 120
  2. 150
  3. 110
  4. 55
Javobni ko'rish
55
#5
Kubning tomoni 9 sm ga teng uning to’la sirtini hisoblang.
  1. 729 cm²
  2. 324 cm²
  3. 512 cm²
  4. 648 cm²
Javobni ko'rish
648 cm²
#6
Yeching: \(\frac{x-2}{x+2} = \frac{x-7}{x-6}\)
  1. 2
  2. 2
  3. 3
  4. 3
Javobni ko'rish
2
#7
Yeching: \(\frac{x-1}{x+1} = \frac{x-7}{x-6}\)
  1. 3
  2. 2
  3. 2
  4. 3
Javobni ko'rish
3
#8
Soddalashtiring: \(\frac{a-b}{a+b} - \frac{a+b}{a-b}\)
  1. \(\frac{4a}{a^2-b^2}\)
  2. 4
  3. 4
  4. \(\frac{-4b}{a^2-b^2}\)
Javobni ko'rish
\(\frac{4a}{a^2-b^2}\)
#9
Soddalashtiring: \(\frac{a+b}{a-b} - \frac{a-b}{a+b}\)
  1. \(\frac{4a}{a^2-b^2}\)
  2. \(\frac{4b}{a^2-b^2}\)
  3. 4
  4. 4
Javobni ko'rish
\(\frac{4a}{a^2-b^2}\)
#10
0, 1, 2 raqamlari yordamida nechta 3 xonali son hosil qilish mumkin? (raqamlari takrorlanmaydigan)
  1. 4 ta
  2. 9 ta
  3. 6 ta
  4. 5 ta
Javobni ko'rish
6 ta
#11
Uchburchakning noma’lum x burchaklarini toping.
  1. 51
  2. 61
  3. 52
  4. 62
Javobni ko'rish
62
#12
Qutida 6 kg shokalad bor har bir shokalad og’irligi 300 gramm bo’lsa qutida necha dona shokalad bor?
  1. 18 ta
  2. 30 ta
  3. 40 ta
  4. 20 ta
Javobni ko'rish
30 ta
#13
Tasma 7:9 nisbatda bo’lindi. Kichik bo’lak uzunligi 112 sm bo’lsa, katta bo’lak uzunligini toping.
  1. 124 sm
  2. 136 sm
  3. 154 sm
  4. 144 sm
Javobni ko'rish
144 sm
#14
Agar bo’yalgan kvadratning yuzi 16 sm² bo’lsa muntazam oltiburchakning perimetrini (см) toping.
  1. 36
  2. 24
  3. 28
  4. 18
Javobni ko'rish
24
#15
5 kishidan iborat kurash musoboqasiga 3 ta o’inni oltin, kumush va bronza medaliga necha xil usulda tanlash mumkin.
  1. 120
  2. 60
  3. 20
  4. 30
Javobni ko'rish
60
#16
Ketma-ket kelgan uchta tub sonlar yig’indisi quyidagi sonlardan qaysi biriga teng bo’lishi mumkin?
  1. 9
  2. 15
  3. 21
  4. 6
Javobni ko'rish
15
#17
Find the remainder when 10^4 - 11 is divided by 10. (10 4 11 - ni 10ga bo‘lgandagi qoldiqni toping.)
  1. 1
  2. 5
  3. 7
  4. 6
Javobni ko'rish
1
#18
Find the remainder when 5^13 - 13 is divided by 10. (5 13 13 - ni 10ga bo‘lgandagi qoldiqni toping.)
  1. 6
  2. 7
  3. 0
  4. 3
Javobni ko'rish
3
#19
Hisoblang: \(\left(\frac{7^{2020}-3^{2019}}{2019}\right) : \left(\frac{2019^{2018}-8^8}{3^6}\right)\)
  1. 4
  2. 2
  3. 3
  4. 1
Javobni ko'rish
3
#20
a va b ratsional sonlar uchun bo’lsa, 3 3 3 a b   ning qiymatini toping.
  1. 3
  2. 16
  3. 12
  4. 9
Javobni ko'rish
3
#21
a va b ratsional sonlar uchun bo’lsa, 2 4 2 a b   ning qiymatini toping.
  1. 3
  2. 16
  3. 9
  4. 12
Javobni ko'rish
9
#22
Ushbu \(2023^n\) tengsizlik n ning nechta natural qiymatida o’rinli?
  1. 4046 ta
  2. 4047 ta
  3. 4048 ta
  4. 4049 ta
Javobni ko'rish
4047 ta
#23
Ushbu \(2023^n \le 2024\) tengsizlik n ning nechta natural qiymatida o’rinli?
  1. 4046 ta
  2. 4048 ta
  3. 4047 ta
  4. 4049 ta
Javobni ko'rish
4048 ta
#24
Ushbu \(2018^n \le 2019\) tengsizlik n ning nechta natural qiymatida o’rinli?
  1. 4038 ta
  2. 4037 ta
  3. 4039 ta
  4. 4036 ta
Javobni ko'rish
4037 ta
#25
\(\frac{3^{12} \cdot 15^8}{a}\) kasrning qiymati natural son bo’lishi uchun a quyidagi sonlardan qaysi biriga teng bo‘lishi kerak?
  1. 30
  2. 3
  3. 6
  4. 5
Javobni ko'rish
30
#26
\(\frac{10^{12} \cdot 18^{20}}{a}\) kasrning qiymati natural son bo’lishi uchun a quyidagi sonlardan qaysi biriga teng bo‘lishi kerak?
  1. 6
  2. 3
  3. 5
  4. 2
Javobni ko'rish
6
#27
Agar \(m = 1.5\) bo’lsa, \(\frac{\frac{1}{m^2} - \frac{1}{m}}{\frac{1}{m^2} + \frac{1}{m}} - \frac{m^2-1}{m^2+1}\) ning qiymatini toping.
  1. 4/11
  2. 1
  3. 4/7
  4. 2/11
Javobni ko'rish
4/11
#28
ifodaning $b = \frac{6}{3 - 2}$ bo’lgandagi qiymatini toping.
  1. 3
  2. 12
  3. 3
  4. 0
Javobni ko'rish
12
#29
Nigina opa qulipnayli murabbo tayorlatish uchun 1 kg qulupnayga 1,25 kg shaker soldi. 9 kg murabbo tayyorlash uchun necha kg qulupnay va shakar kerak bo’ladi.
  1. 3 qulupnay, 5 shakar
  2. 4 qulupnay, 4 shakar
  3. 4 qulupnay, 5 shakar
  4. 2 qulupnay, 6 shakar
Javobni ko'rish
4 qulupnay, 5 shakar
#30
540 soni 25% oshirildi, hosil bo’lgan sonning 20% ni toping.
  1. 135
  2. 190
  3. 120
  4. 150
Javobni ko'rish
135
#31
Choyga 1,6% choy solinadi. Qadoqdagi choy 250 gr bo’lsa choyga qancha gr choy solingan?
  1. 4
  2. 6
  3. 3
  4. 5
Javobni ko'rish
4
#32
Tenglamalar sistemasining yechimlari $\left(x_1, y_1\right), \left(x_2, y_2\right), ..., \left(x_n, y_n\right)$ ko’rinishida bo’lsa, $y_1 \cdot y_2 \cdot ... \cdot y_n$ ning qiymatini toping.
  1. 5^{-1}
  2. 45
  3. 15
  4. 3^{-1}
Javobni ko'rish
5^{-1}
#33
Quyidagi tenglamalar sistemasini qanoatlantiruvchi (x; y) juftliklar soni nechta: $\begin{cases} \frac{x-8}{x-2} - \frac{y-10}{x-2} = 0 \ x+y=7 \end{cases}$
  1. 1 ta
  2. 2 ta
  3. 4 ta
  4. 3 ta
Javobni ko'rish
1 ta
#34
Quyidagi tenglamalar sistemasini qanoatlantiruvchi juftliklar (x_n, y_n) bo’lsa, x_n y_n ⋅ ning eng kichik qiymatini toping: \[\begin{cases} \dfrac{2}{9}xy - \dfrac{27}{12}x = -\dfrac{xy}{?} \\ x + y = ? \end{cases}\]
  1. 15
  2. 1/224
  3. 22
  4. 1/204
Javobni ko'rish
15
#35
Tengsizlikni yeching: (4th expression) \( (x^4 - x^4) + (x^2 - x^2) \) ???
  1. ( -6;4] \cup [0;2)
  2. [0;2]
  3. ( -6;4] \cup [0;2) \cup (2;4)
  4. ( -6;0]
Javobni ko'rish
( -6;4] \cup [0;2)
#36
Tengsizlikni yeching: (3rd expression) variant with 3 powers, find solution set
  1. ( -5;3] \cup [0;3)
  2. ( -5;3] \cup [0;3) \cup (3;4)
  3. [0;3]
  4. ( -5;0]
Javobni ko'rish
( -5;3] \cup [0;3)
#37
\( (x^4 - 2x^2 + 1)/(x^3 - 2x + 3) = 0 \) tenglamaning haqiqiy ildizlari nechta?
  1. 1 ta
  2. 2 ta
  3. 3 ta
  4. 4 ta
Javobni ko'rish
2 ta
#38
\( (x^4 - 2x^2 + 1)/(x^3 - 2x + 73) = 0 \) tenglamaning haqiqiy ildizlari nechta?
  1. 1 ta
  2. 2 ta
  3. 4 ta
  4. 3 ta
Javobni ko'rish
2 ta
#39
\( (x^4 - 2x^2 + 1)/(x^3 - 2x + 73) = 0 \) tenglamaning haqiqiy ildizlari ko’paytmasini toping.
  1. 8
  2. 9
  3. 8
  4. 9
Javobni ko'rish
8
#40
\(2^2 x = x\) tenglama butun yechimlari ko’paytmasini toping.
  1. 0
  2. 4
  3. 6
  4. 8
Javobni ko'rish
0
#41
2x^2 = 2 tenglamaning haqiqiy ildizlar sonini butun ildizlar soniga nisbatini toping.
  1. 1
  2. 2
  3. 3/2
  4. 2/3
Javobni ko'rish
2/3
#42
16/x^2 + 4/x - 1 = 0 tenglamaning barcha haqiqiy ildizlari yig‘indisini (agar u bitta bo‘lsa, shu haqiqiy ildizni) toping.
  1. 1/2
  2. 8
  3. 7/4
  4. 4
Javobni ko'rish
7/4
#43
9/x^2 + 3/x - 1 = 0 tenglamaning barcha haqiqiy ildizlari yig‘indisini (agar u bitta bo‘lsa, shu haqiqiy ildizni) toping.
  1. 1/2
  2. 7/4
  3. 8
  4. 4
Javobni ko'rish
7/4
#44
Arifmetik progressiyaning hadlari uchun d = 0. Agar a1 + a2 + a3 = 24 va a1^2 + a2^2 + a3^2 = 210 bo’lsa, S_22 ning qiymatini toping.
  1. 730
  2. 803
  3. 949
  4. 876
Javobni ko'rish
730
#45
Arifmetik progressiyaning hadlari uchun d = 0. Agar a1 + a2 + a3 = 24 va a1^2 + a2^2 + a3^2 = 210 bo’lsa, S_20 ning qiymatini toping.
  1. 490
  2. 350
  3. 380
  4. 750
Javobni ko'rish
350
#46
Arifmetik progressiyaning hadlari uchun d = 0. Agar a1 + a2 + a3 = 24 va a1^2 + a2^2 + a3^2 = 210 bo’lsa, S_22 ning qiymatini toping.
  1. 480
  2. 451
  3. 350
  4. 750
Javobni ko'rish
451
#47
33. funksiyaning aniqlanish sohasini toping. 2 y x 
  1. [0;∞)
  2. (2;∞)
  3. (0;∞)
  4. [2;∞)
Javobni ko'rish
[2;∞)
#48
34. funksiyaning aniqlanish sohasini toping. 5 y x 
  1. [0;∞)
  2. [5;∞)
  3. (0;∞)
  4. (5;∞)
Javobni ko'rish
[5;∞)
#49
35. funksiyaning grafigi qaysi choraklardan o‘tadi? 1 y x  
  1. I va IV
  2. III va IV
  3. I va II
  4. II va III
Javobni ko'rish
I va IV
#50
36. funksiyaning grafigi qaysi choraklardan o‘tadi? 1 y x  
  1. I va II
  2. I va IV
  3. III va IV
  4. II va III
Javobni ko'rish
I va IV
#51
37. 2 ax bx     1 f x funksiya   1;5 M nuqtada 7 y x l   to’g’ri chiziqqa urinsa, a b l  ni toping.
  1. 1
  2. 1
  3. 3
  4. 2
Javobni ko'rish
2
#52
38. 2 ax bx     1 f x funksiya   1;5 M nuqtada 7 y x l   to’g’ri chiziqqa urinsa,   2 a b l  ni toping.
  1. 2
  2. 3
  3. 1
  4. 1
Javobni ko'rish
2
#53
39. 2 ax bx     1 f x funksiya   2;7 N nuqtada 9 y x l   to’g’ri chiziqqa urinsa, a l b  ni toping.
  1. 13
  2. 13
  3. 12
  4. 12
Javobni ko'rish
13
#54
Berilgan funksiyaning maximum nuqtasi   3;5 mm   va funksiyaning minimum nuqtasi   10;4 1 mn   bo'lsa, mn  ni toping.
  1. \(\frac{-3}{4}\)
  2. \(\frac{-9}{2}\)
  3. \(\frac{-41}{4}\)
  4. \(\frac{-9}{4}\)
Javobni ko'rish
\(\frac{-9}{4}\)
#55
Tenglamaning barcha haqiqiy ildizlari yig'indisini (agar u bitta bo'lsa, shu haqiqiy ildizni) toping: \[ \log_{3} \left( \frac{1}{1-x} \right) + \log_{3} \left( \frac{1}{1-x^2} \right) = 1 \]
  1. \(-4\)
  2. \(\frac{-7}{4}\)
  3. \(\frac{-1}{2}\)
  4. 8
Javobni ko'rish
\(\frac{-1}{2}\)
#56
Tenglamaning barcha haqiqiy ildizlari yig'indisini (agar u bitta bo'lsa, shu haqiqiy ildizni) toping: \[ \log_{4} \left( \frac{1}{1-x} \right) + \log_{4} \left( \frac{1}{1-x^2} \right) = 1 \]
  1. \(-4\)
  2. 5
  3. \(-5\)
  4. 8
Javobni ko'rish
\(-5\)
#57
Ushbu \[ \frac{\sin a + \cos a}{5} = \frac{4}{5} \] tenglikdan foydalanib, \(\sin 2a\) ning qiymatini toping.
  1. \(\frac{-41}{25}\)
  2. \(\frac{9}{25}\)
  3. \(\frac{-9}{25}\)
  4. \(\frac{16}{25}\)
Javobni ko'rish
\(\frac{9}{25}\)
#58
Ushbu \[ \frac{\cos a - \sin a}{5} = \frac{4}{5} \] tenglikdan foydalanib, \(\sin 2a\) ning qiymatini toping.
  1. \(\frac{16}{25}\)
  2. \(\frac{-41}{25}\)
  3. \(\frac{9}{25}\)
  4. \(\frac{-9}{25}\)
Javobni ko'rish
\(\frac{-9}{25}\)
#59
Tenglamaning \[ \frac{4 \sin x + 1}{2} + \frac{3 \cos 2x}{4} = \frac{\pi}{2} \] oraliqdagi ildizlari nechta?
  1. 3
  2. 2
  3. 1
  4. 0
Javobni ko'rish
1
#60
Tenglamaning \[ \frac{4 \sin x + 1}{2} + \frac{3 \cos 2x}{4} = \frac{\pi}{2} \] oraliqdagi ildizlari nechta?
  1. 6
  2. 5
  3. 4
  4. 3
Javobni ko'rish
3
#61
Quyidagi javoblardan qaysi biri \[ \frac{2 \sin 3x + \cos 6x + 1}{3 \sin 3x + 2 \cos 6x + 2 \sin 3x \cos 6x} = 1 \] tenglikni qanoatlantirmaydi?
  1. \(\frac{-17\pi}{18}\)
  2. \(\frac{-\pi}{6}\)
  3. \(\frac{-\pi}{3}\)
  4. \(\frac{-7\pi}{18}\)
Javobni ko'rish
\(\frac{-17\pi}{18}\)
#62
cos^3 x - 3 sin^3 x tengsizlikni yeching.
  1. x = 2/7,13/3,18/3 + n, n Z
  2. x = 3,13 + n, n Z
  3. x 2,7 + n, n  Z
  4. x = 7/2,13/13 + n, n Z
Javobni ko'rish
x = 3,13 + n, n Z
#63
f(x)=2x+1/ax (text shows (2)1 f x ax = + ?) Agar f'(1)=0 bo'lsa, a ni toping.
  1. 3/2
  2. 1
  3. 2
  4. 1/2
Javobni ko'rish
1/2
#64
Agar f(x)=x^2+ax (text shows (2 2 f x x ax = +)), va f'(1)=0 bo'lsa, a ni toping.
  1. 1/2
  2. 2
  3. 3/2
  4. 1
Javobni ko'rish
1
#65
f(x)= \(\frac{2024}{x} - 2023\ln 2024 \cdot x\) bo‘lsa, f'(1) ning qiymatini toping.
  1. \ln2023
  2. \ln2024
  3. 2023\ln2023
  4. 2023\ln2024
Javobni ko'rish
\ln2024
#66
f(x)= (3x^2+2)\cdot(2x+1) (text shows composition) bo‘lsa, f'(1) ning qiymatini toping.
  1. (6/28)/(3^3)
  2. (6/14)/(3^3)
  3. 6/14/3
  4. 6/28/3
Javobni ko'rish
6/14/3
#67
f(x)=2024 x - 2024/x (text shows f(x)=2024 x - 2024/x) bo’lsa, f'(x) ni toping.
  1. 2024/2023 2024 / x - ?
  2. 2023/2023 2024 / x - ?
  3. 2023/2024 x - ?
  4. 2023/2024 2024 x + ?
Javobni ko'rish
2023/2024 x - ?
#68
Agar \(f(x) = \frac{4\sin^2 x}{tgx + 2}\) bo'lsa, \(f'(\frac{\pi}{4})\) ni toping.
  1. 3
  2. 4
  3. 8
  4. 6
Javobni ko'rish
4
#69
Hisoblang: \(\int_{1}^{e} \frac{1}{x} \ln x dx\)
  1. 3/2
  2. 1
  3. 1/2
  4. 5/2
Javobni ko'rish
1/2
#70
Hisoblang: \(\int_{1}^{e} \frac{1}{x} (\ln x + 1) dx\)
  1. 0
  2. ln2
  3. ln2 - 1
  4. ln2
Javobni ko'rish
ln2
#71
Hisoblang: \(\int_{1}^{3} (3x^2 - 6) dx\)
  1. 1/3 * 2
  2. 19/5
  3. 1/39
  4. 2/3 * 4
Javobni ko'rish
19/5
#72
Hisoblang: \(\int_{1}^{2} (4x^2 - 3) dx\)
  1. 10/3 * 2
  2. 1/(10*3)
  3. 1/(10*3)
  4. 2/(10*3)
Javobni ko'rish
10/3 * 2
#73
ABCD kvadratning tomoni 6 sm. M va N nuqtalar AD va DC tomonlarning o’rtalari bo’lsa, ONC uchburchak yuzini toping.
  1. 3
  2. 8
  3. 6
  4. 4
Javobni ko'rish
3
#74
ABCD kvadratning tomoni 6 sm. M va N nuqtalar AD va DC tomonlarning o’rtalari bo’lsa, CMD uchburchak yuzini toping.
  1. 9
  2. 16
  3. 12
  4. 18
Javobni ko'rish
18
#75
R radiusli yarim aylanaga eng katta yuzali kvadrat chizilgan bo’lsa, kvadratning perimetrini toping.
  1. 3 * sqrt(2) * R
  2. (3 * sqrt(3))/2 * R
  3. 8R
  4. 3 * sqrt(3) * R
Javobni ko'rish
3 * sqrt(2) * R
#76
R radiusli yarim doiraga (OB = R) eng katta yuzaga ega bo’lgan to’gri to’rtburchak ichki chizilgan. To’gri to’rtburchak perimetrini toping.
  1. 3 * sqrt(2) * R
  2. 2R
  3. 4R
  4. 5R
Javobni ko'rish
3 * sqrt(2) * R
#77
Uchlari A(1;2), B(3;1) va C(5;5) nuqtalarda bo‘lgan uchburchakning AB tomoni o‘rtasi hamda C uchidan o‘tuvchi to‘g‘ri chiziq tenglamasini tuzing.
  1. 7x-6y-5 = 0
  2. 7x+6y+5 = 0
  3. 7x-6y+5 = 0
  4. 7x+6y-5 = 0
Javobni ko'rish
7x+6y-5 = 0
#78
Agar trapetsiyaning diagonallari o‘zaro perpendikulyar bo‘lib, ularning uzunliklari 9 va 12 va katta asosi 14 ga teng bo‘lsa, kichik asosini toping.
  1. 4
  2. 3
  3. 1
  4. 2
Javobni ko'rish
3
#79
Agar trapetsiyaning diagonallari o‘zaro perpendikulyar bo‘lib, ularning uzunliklari 9 va 12 va katta asosi 14 ga teng bo‘lsa, trapetsiya balandligini toping.
  1. 7
  2. 7,5
  3. 6,5
  4. 7,2
Javobni ko'rish
7
#80
Rasmda ABC uchburchak berilgan. O nuqta bissektrisalar kesishish nuqtasi va AB = 20, AC = 24 hamda DB = 1/911 bo‘lsa, CO kesma uzunligini toping.
  1. 3√5
  2. 6√5
  3. 6
  4. 10
Javobni ko'rish
6√5
#81
Quyidagi chizmada y=3x va y=1/3 x funksiyalar graflari tasvirlangan, P nuqtadan to‘g‘ri chiziqlargacha bo‘lgan eng qisqa masofalar PK va PL dir. Agar n^2 + 2n = 61 va n^2 - 2n = 30 bo‘lsa, OKL uchburchak yuzini toping.
  1. (1/16)(120/(61+3))
  2. (1/8)(140/(61+3))
  3. (1/16)(140/(61+3))
  4. (1/8)(120/(61+3))
Javobni ko'rish
(1/16)(120/(61+3))
#82
70. Berilgan A(2;3) nuqta va a vektori 3;5 . Vektor yotgan to’g’ri chiziq tenglamasini ko’rsating.
  1. 5x - 3y = -9
  2. 3x - 5y = -9
  3. 3x + 5y = 21
  4. 5x + 3y = 19
Javobni ko'rish
5x - 3y = -9
#83
71. Mehmonxonada 5 ta bo’sh xona bor. Bu bo’sh xonalarga 3 kishini har bir xonaga 1 tadan qilib necha xil usulda joylashtirish mumkin.
  1. 120
  2. 20
  3. 60
  4. 10
Javobni ko'rish
120
#84
72. Mehmonxonada 6 ta bo’sh xona bor. Bu bo’sh xonalarga 4 kishini har bir xonaga 1 tadan qilib necha xil usulda joylashtirish mumkin.
  1. 120
  2. 180
  3. 480
  4. 360
Javobni ko'rish
360
#85
73. 0;1;2;4 raqamlaridan foydalanib, eng katta turli raqamli 4 xonali son va eng kichik turli raqamli 4 xonali son tuzildi. Bu sonlarning farqini toping.
  1. 3085
  2. 3186
  3. 2197
  4. 1024
Javobni ko'rish
3186
#86
74. Yugurish musobaqasida 18 ta bola qatnashmoqda. 1, 2, 3-o’rinlarni necha xil usulda tanlash mumkin?
  1. 648
  2. 816
  3. 842
  4. 324
Javobni ko'rish
816
#87
75. Muntazam tetraedr to‘la sirtining yuzi \(18\sqrt{3}\) sm² ga teng bo‘lsa, uning hajmini toping (sm³).
  1. 18
  2. 36
  3. 9
  4. 12
Javobni ko'rish
9
#88
76. Muntazam uchburchakli piramidaning hajmi \(64\) sm³ ga teng. Piramidaning apofemasi balandligidan 2 marta katta bo‘lsa, uning yon sirti yuzini toping (sm²).
  1. 144
  2. \(144\sqrt{3}\)
  3. \(72\sqrt{3}\)
  4. 72
Javobni ko'rish
\(144\sqrt{3}\)
#89
77. Muntazam uchburchakli piramidaning hajmi \(9\sqrt{3}\) ga teng. Piramidaning apofemasi balandligidan 2 marta katta bo‘lsa, uning yon sirti yuzini toping (sm²).
  1. \(36\sqrt{3}\)
  2. 27
  3. \(27\sqrt{3}\)
  4. 36
Javobni ko'rish
\(27\sqrt{3}\)
#90
78. Radiusi \(R = 6\sqrt{3}\) ga teng bo’lgan sharga eng katta hajmli silindr ichki chizilgan bo’lsa, uning asosining radiusini toping.
  1. \(6\sqrt{2}\)
  2. 6
  3. 12
  4. \(7\sqrt{3}\)
Javobni ko'rish
\(6\sqrt{2}\)
#91
79. Hajmi \(12\pi\) ga teng bo’lgan konusga ichki chizilgan eng katta hajimli silindrning hajmini toping.
  1. \(8\pi\)
  2. \(4\pi\)
  3. \(6\pi\)
  4. \(10\pi\)
Javobni ko'rish
\(4\pi\)
#92
80. Sharning sirtini yuzi S ga teng. Unga ichki chizilgan eng katta hajimli konus asosining radiusini toping.
  1. \(\sqrt{\frac{2S}{\pi}}\)
  2. \(\sqrt{S}\)
  3. \(\sqrt{\frac{S}{2\pi}}\)
  4. \(\sqrt{\frac{S}{\pi}}\)
Javobni ko'rish
\(\sqrt{\frac{2S}{\pi}}\)
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