Matematika (01.12.2024) 1-variant

45 ta savol · saqlash uchun kiring

Matematika formulalar varaqasi / Лист формул по математике

Tenglamalar / Уравнения

ax^{2}+bx+c=0; \quad x_{1:2}=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a}; \quad \begin{cases}x_{1}+x_{2}=-\frac{b}{a}\\ x_{1}\cdot x_{2}=\frac{c}{a}\end{cases}

|f(x)|+|g(x)|=|f(x)+g(x)|\Rightarrow f(x)\cdot g(x)\ge0;

\frac{Ax}{ax^{2}\pm bx-c}\pm\frac{Bx}{ax^{2}\pm dx+c}=k \quad \Rightarrow \quad \frac{A}{ax-\frac{c}{x}\pm b}\pm\frac{B}{ax+\frac{c}{x}\pm d}=k;

(ax^{2}\pm bx-c)(ax^{2}\pm dx+c)=Ax^{2} \quad \Rightarrow \quad (ax-\frac{c}{x}\pm b)(ax+\frac{c}{x}\pm d)=A;

ax+\frac{c}{x}=z

o'zgaruvchi kiritib yechiladi / решается c помошью замены

(x-a)(x-b)(x-c)(x-d) = A \quad \Rightarrow \quad a+b=c+d

bo'lsa,

t=x^{2}-(a+b)x

o'zgaruvchi kiritib yechiladi / решается c помошью замены

Qisqa ko'paytirish formulalari / Формулы сокращённого умножения

a^{2}-b^{2}=(a-b)(a+b)

(a\pm b)^{2}=(a^{2}\pm2ab+b^{2})

(a\pm b)^{3}=a^{3}\pm3a^{2}b+3ab^{2}\pm b^{3}

a^{3}\pm b^{3}=(a\pm b)(a^{2}\mp ab+b^{2})

a^{n}-b^{n}=(a-b)(a^{n-1}+a^{n-2}b+...+ab^{n-2}+b^{n-1})

a^{2n}\pm b^{2n}=(a\pm b)(a^{2n-1}\mp a^{2n-2}b+...+ab^{2n-2}\mp b^{2n-1})

a^{2n+1}\pm b^{2n+1}=(a\pm b)(a^{2n}\mp a^{2n-1}b+...+ab^{2n-1}\mp b^{2n})

(a+b)^{n}=a^{n}+na^{n-1}b+\frac{n(n-1)}{2!}a^{n-2}b^{2}+...

...+\frac{n(n-1)(n-2)\cdot...\cdot(n-(k-1))}{k!}+...+nab^{n-1}+b^{n}

Arifmetik progressiya / Арифметическая прогрессия

a_{n}=a_{n-1}+d=a_{1}+(n-1)d;

a_{n}=\frac{a_{n-k}+a_{n+k}}{2} \quad (1\le k\le n-1);

S_{n}=\frac{a_{1}+a_{n}}{2}\cdot n=\frac{2a_{1}+d(n-1)}{2}\cdot n

Geometrik progressiya / Геометрическая прогрессия

b_{n}=b_{1}\cdot q^{n-1}; \quad b_{n}^{2}=b_{n-m}\cdot b_{n+m} \quad (1\le m\le n-1);

S_{n}=\frac{b_{1}(1-q^{n})}{1-q} \quad (|q|>1);

S_{n}=\frac{b_{1}}{1-q} \quad (|q|<1);

Logarifmning xossalari / Свойства логарифмов

log_{a}1=0; \quad log_{a}(x_{1}\cdot x_{2})=log_{a}|x_{1}|+log_{a}|x_{2}|;

log_{a}\frac{x_{1}}{x_{2}}=log_{a}|x_{1}|-log_{a}|x_{2}|; \quad log_{a}b=\frac{log_{c}b}{log_{c}a};

log_{a^{q}}x^{p}=\frac{p}{q}\cdot log_{a}x; \quad log_{a}b=\frac{1}{log_{b}a};

lg10^{n}=n; \quad lne^{n}=n;

Daraja va ildiz / Степень и корень

a^{n}\cdot a^{m}=a^{m+n}; \quad a^{n}:a^{m}=a^{m-n}; \quad (a^{m})^{n}=a^{m\cdot n};

(a\cdot b)^{n}=a^{n}\cdot b^{n}; \quad (\frac{a}{b})^{n}=\frac{a^{n}}{b^{n}}; \quad a^{-n}=\frac{1}{a^{n}};

(\frac{a^{n}}{b^{m}})^{-k}=(\frac{b^{m}}{a^{n}})^{k}; \quad (-a)^{2n}=a^{2n}; \quad (-a)^{2n+1}=-a^{2n+1};

\sqrt[n]{a^{k}}=a^{\frac{k}{n}}; \quad \sqrt[n]{a^{k}\cdot b^{m}}=\sqrt[n]{a^{k}}\cdot\sqrt[n]{b^{m}};

\sqrt[n]{\frac{a^{k}}{b^{m}}}=\frac{\sqrt[n]{a^{k}}}{\sqrt[n]{b^{m}}}; \quad (\sqrt[n]{a^{m}})^{k}=\sqrt[n]{a^{mk}}; \quad \sqrt[n]{a^{n+k}}=a\sqrt[n]{a^{k}};

a^{-\frac{k}{n}}=\frac{1}{\sqrt[n]{a^{k}}}; \quad \sqrt[n]{\sqrt[m]{a^{k}}}=\sqrt[nm]{a^{k}};

\sqrt[n]{a^{k}}\cdot\sqrt[m]{b^{p}}=\sqrt[nm]{a^{km}\cdot b^{pn}}; \quad \sqrt[n]{a^{n}}=|a| \quad (n=2k);

\sqrt[2n]{(a-b)^{2n}}=\begin{cases}a-b, & a\ge b\\ b-a, & b\ge a\end{cases}

Urinma va normal tenglamasi / Уравнение касательной и нормали

y=f(x_{0})+f^{\prime}(x_{0})(x-x_{0});

y=f(x_{0})-\frac{1}{f^{\prime}(x_{0})}(x-x_{0});

Hosilaga doir formulalar va xossalari / Таблица производных и свойства

(x^{a})^{\prime}=ax^{a-1}; \quad (a^{x})^{\prime}=a^{x}ln a; \quad (e^{x})^{\prime}=e^{x};

(log_{a}x)^{\prime}=\frac{1}{x ln a}; \quad (ln x)^{\prime}=\frac{1}{x}; \quad (sin x)^{\prime}=cos x;

(cos x)^{\prime}=-sin x; \quad (tg x)^{\prime}=\frac{1}{cos^{2}x}; \quad (ctg x)^{\prime}=-\frac{1}{sin^{2}x};

(u\pm v)^{\prime}=u^{\prime}\pm v^{\prime}; \quad (k\cdot u)^{\prime}=k\cdot u^{\prime};

(u\cdot v)^{\prime}=u^{\prime}\cdot v+u\cdot v^{\prime}; \quad (\frac{u}{v})^{\prime}=\frac{u^{\prime}\cdot v-u\cdot v^{\prime}}{v^{2}};

Integralga doir formulalar va xossalari / Таблица и свойства интегралов

\int x^{n}dx=\frac{x^{n+1}}{n+1}+C; \quad \int\frac{dx}{x}=ln|x|+C;

\int e^{x}dx=e^{x}+C; \quad \int a^{x}dx=\frac{a^{x}}{lna}+C;

\int sinx dx=-cosx+C; \quad \int cosx dx=sinx+C;

\int k\cdot f(x)dx=k\cdot\int f(x)dx;

\int(f(x)+g(x))dx=\int f(x)dx+\int g(x)dx;

\int_{a}^{b}f(x)dx=F(b)-F(a); \quad \int_{a}^{b}f(x)dx=-\int_{b}^{a}f(x)dx;

\int_{a}^{b}f(x)dx=\int_{a}^{c}f(x)dx+\int_{c}^{b}f(x)dx \quad (a\le c\le b);

O'rta arifmetik va o'rta geometrik / Среднее арифметическое и среднее геометрическое

A=\frac{a_{1}+a_{2}+...+a_{n}}{n}; \quad G=\sqrt[n]{a_{1}\cdot a_{2}\cdot...\cdot a_{n}}

Ba'zi trigonometrik formulalar / Основные формулы тригонометрии

Asosiy trigonometrik ayniyatlar / Основные тригонометрические свойства:

sin^{2}\alpha+cos^{2}\alpha=1; \quad tg\alpha=\frac{sin\alpha}{cos\alpha}; \quad ctg\alpha=\frac{cos\alpha}{sin\alpha};

tg^{2}\alpha+1=\frac{1}{cos^{2}\alpha}; \quad ctg^{2}\alpha+1=\frac{1}{sin^{2}\alpha};

cos(\alpha\pm\beta)=cos\alpha\cdot cos\beta\mp sin\alpha\cdot sin\beta;

sin(\alpha\pm\beta)=sin\alpha\cdot cos\beta\pm cos\alpha\cdot sin\beta;

tg(\alpha\pm\beta)=\frac{tg\alpha\pm tg\beta}{1\mp tg\alpha\cdot tg\beta}; \quad ctg(\alpha\pm\beta)=\frac{ctg\alpha\cdot ctg\beta\mp1}{ctg\alpha\pm ctg\beta};

sin\alpha+sin\beta=2sin\frac{\alpha+\beta}{2}cos\frac{\alpha-\beta}{2};

sin\alpha-sin\beta=2sin\frac{\alpha-\beta}{2}cos\frac{\alpha+\beta}{2};

cos\alpha+cos\beta=2cos\frac{\alpha+\beta}{2}cos\frac{\alpha-\beta}{2};

cos\alpha-cos\beta=-2sin\frac{\alpha+\beta}{2}sin\frac{\alpha-\beta}{2};

Trigonometrik funksiyaning ba'zi burchaklardagi qiymatlari / Значения тригонометрической функции под некоторыми углами

$\alpha$	0	$\frac{\pi}{6}$	$\frac{\pi}{4}$	$\frac{\pi}{3}$	$\frac{\pi}{2}$
$\sin\alpha$	0	$\frac{1}{2}$	$\frac{\sqrt{2}}{2}$	$\frac{\sqrt{3}}{2}$	1
$\cos\alpha$	1	$\frac{\sqrt{3}}{2}$	$\frac{\sqrt{2}}{2}$	$\frac{1}{2}$	0

To'g'ri burchakli uchburchak uchun formulalar / Формулы для прямоугольного треугольника

a^2 + b^2 = c^2;

a = c \cdot \sin\alpha

b = c \cdot \cos\alpha;

a = b \cdot \text{tg}\alpha

Ixtiyoriy uchburchak uchun formulalar / Формулы для произвольного треугольника

S = \frac{1}{2}ab\sin\gamma

S = \sqrt{p(p - a)(p - b)(p - c)}

p = \frac{1}{2}(a + b + c); \quad S = \frac{1}{2}h_c \cdot c

\frac{\sin\alpha}{a} = \frac{\sin\beta}{b} = \frac{\sin\gamma}{c}

a^2 = b^2 + c^2 - 2bc\cos\alpha

Uchburchak uchun formulalar (umumiy) / Формулы для треугольника (общие)

S=\frac{1}{2}ab sin\gamma; \quad S=\sqrt{p(p-a)(p-b)(p-c)};

p=\frac{1}{2}(a+b+c); \quad S=\frac{1}{2}h_{c}\cdot c;

\frac{a}{sin\alpha}=\frac{b}{sin\beta}=\frac{c}{sin\gamma}=2R; \quad a^{2}=b^{2}+c^{2}-2bc cos\alpha;

To'g'ri burchakli uchburchak / прямоугольный треугольник:

a^{2}+b^{2}=c^{2}; \quad a=c\cdot sin\alpha; \quad b=c\cdot cos\alpha; \quad a=b\cdot tg\alpha;

Uchburchakka ichki va tashqi chizilgan aylana radiuslarini hisoblash formulasi /
Формула вычисления радиусов окружности, вписанной внутрь и вне треугольника

r=\frac{2S}{a+b+c}; \quad R=\frac{abc}{4S};

To'rtburchakning yuzlari uchun formulalar / Формулы граней четырехугольника

Parallelogramm / параллелограмм:

S=a\cdot h_{a}; \quad S=a\cdot b\cdot sin\alpha;

Romb / ромб:

S=\frac{1}{2}\cdot d_{1}\cdot d_{2}; \quad S=a^{2}\cdot sin\alpha;

Trapetsiya / трапеция:

S=\frac{a+b}{2}\cdot h;

Aylana va doira Doiraviy sektor va segment yuzi / Круговой сектор и сегментная грань

l=2\pi R; \quad S=\pi R^{2};

S_{sektor}=\frac{\pi R^{2}}{360}\cdot\alpha; \quad S_{segment}=\frac{R^{2}}{2}(\alpha-sin\alpha);

Vektorlar / Векторы

|\vec{a}|=\sqrt{x^{2}+y^{2}+z^{2}}

vektorning uzunligi / длина вектора

\vec{a}\cdot\vec{b}=|\vec{a}|\cdot|\vec{b}|\cdot cos\varphi

skalyar ko'paytmasi / скалярное умножение

\vec{a}\cdot\vec{b}=x_{1}\cdot x_{2}+y_{1}\cdot y_{2}

vektorlarning skalyar ko'paytmasi / скалярное произведение векторов

\vec{a}\cdot\lambda=\vec{c}(x\cdot\lambda;y\cdot\lambda;z\cdot\lambda)

Stereometriya formulalari / Формулы стереометрии

Prizma / призма | Piramida / пирамида:

V=S\cdot H; \quad V=\frac{1}{3}S\cdot H;

Kesik piramida / усеченная пирамида:

V=\frac{1}{3}h(S_{1}+\sqrt{S_{1}\cdot S_{2}}+S_{2});

Silindr / цилиндр:

S_{yon}=2\pi RH; \quad V=\pi R^{2}H;

Konus / конус:

S_{yon}=\pi R l; \quad V=\frac{1}{3}\pi R^{2}H;

Kesik konus / усеченный конус:

V=\frac{1}{3}\pi h(R_{1}^{2}+R_{1}\cdot R_{2}+R_{2}^{2});

Shar / шар:

S=4\pi R^{2}; \quad V=\frac{4}{3}\pi R^{3};

Shar segmentining hajmi / объем шар сегмента:

V=\pi H^{2}(R-\frac{H}{3});

Shar segmentining sirtining yuzi / площадь поверхности шарового сегмента:

S_{sirt}=2\pi RH;

\overline{2023ab}

ko'rinishidagi olti xonali sonlar orasida 36 ga qoldiqsiz bo'linadiganlari nechta?

Hisoblang:

4{,}(36) : 3{,}1(9) + \frac{1}{3\frac{1}{7}}

Kema daryo oqimi bo'yicha harakatlanib

S

masofaga 80 daqiqa vaqt sarflaydi. Oqimga qarshi harakatlanib

S

masofaning yarmini 60 daqiqada bosib o'tadi. Kemaning tezligi oqim tezligidan necha marta katta?

Bir oilaning oylik maoshi 15000000 so'm. Uning 60% i oilaviy harajatlarga sarflanar edi. Qolgan pulning 30% ni bankga omonatga qo'yadi. Oila bankga necha so'm pul qo'ygan?

x + y = 10^z

x^2 + y^2 = 10^{z+1}

x^3 + y^3 = a \cdot 10^{3z} + b \cdot 10^{2z}

bo'lsa,

a

b

ning ratsional qiymatlari yig'indisini toping.

Hisoblang:

\frac{1}{2\sqrt{6} + 5} - 5 + 2\sqrt{6}

Hisoblang:

\sqrt{21 - 12\sqrt{3}} \cdot \sqrt{\left(\sqrt{3} - 4\right)^2}

Arifmetik progressiyada

a_1 + a_3 + a_5 + \ldots + a_{2n-1} = 96

;

a_{n-2} + a_{n+2} = 12

bo'lsa,

n

ning qiymatini toping.

Cheksiz kamayuvchi geometrik progressiyaning yig'indisi 22,5 ga, dastlabki ikkita hadi yig'indisi 20 ga va

0 < q < 1

bo'lsa, progressiyaning to'rtinchi hadini toping.

10.

a = 2024

b = 2023

bo'lsa,

a^3 - b^3 + a^2 + b^2 + 2 - 5ab

ning qiymatini toping.

11.

Agar

x + y = 3

x \cdot y = -1

bo'lsa,

\frac{x(y+1)^2 - y(x+1)^2}{x^2(y+1) - y^2(x+1)}

ni toping.

12.

12345''

ni gradusda, minutda, sekundda ifodalang.

13.

Soddalashtiring.

\frac{4\sin^2 a \cdot \cos^4 a - 2\sin^2 a \cos^2 a}{1 - \cos^2 4a \sin^2 4a - \cos^4 4a}

14.

16^{\frac{1}{x}} - 20 \cdot 2^{\frac{2}{x} - 2} + 4 = 0

tenglamaning haqiqiy ildizlari nechta?

15.

\sqrt{\log_x \sqrt{4x}} = -\frac{1}{\log_4 x}

tenglamaning haqiqiy ildizlari ko'paytmasini toping. (Agar u bitta bo'lsa, shu ildizini toping)

16.

|3x + 6| = 15

tenglamaning haqiqiy ildizlari ko'paytmasini toping. (Agar u bitta bo'lsa, shu ildizini toping)

17.

\frac{x^2 + 4}{x + 2\sqrt{x} + 2} = \frac{x^2 - 5x + 4}{x + 3\sqrt{x} + 2}

tenglamaning haqiqiy ildizlari yig'indisini toping. (Agar u bitta bo'lsa, shu ildizini toping)

18.

2\sqrt{x - 3} > x - 6

tengsizlikni qanoatlantiruvchi barcha butun sonlar yig'indisini toping.

19.

\sqrt{x^2 - 6x + 9} \cdot \sqrt{-x^2 + 3x + 10} > 0

tengsizlikni qanoatlantiruvchi butun sonlar nechta?

20.

y = x^2 - \sqrt{9 + x^2}

funksiyaning eng kichik butun qiymatini toping.

21.

Aniqmas integralni toping.

\int \frac{\ln\ln x}{x}\,dx

22.

f(x) = \sin^3\frac{x}{2}

bo'lsa,

f'\left(\frac{2\pi}{3}\right)

ni toping.

23.

ABCD

to'rtburchakka aylana ichki chizilgan.

AB = CD = 7

AD = 6

bo'lsa,

BC

ni toping.

24.

Quyidagi funksiyaning aniqlanish sohasiga tegishli nechta butun son bor?

f(x) = \frac{\sqrt{-x^2 + 3x + 10}}{\left|1 - \log_x 2\right|\left(\sin x - \frac{\pi}{3}\right)}

25.

A

dan

B

gacha bo'lgan eng qisqa masofani toping.

26.

ABC

teng yonli uchburchakka aylana ichki chizilgan

AB = AC

. Aylana urinish nuqtasidan

AB

tomonni 6 va 4 ga teng kesmalarga ajratdi (

AB > BC

ABC

uchburchakning yuzini toping.

27.

ABCD

parallelogramda

BC

tomonda

E

nuqta,

AD

tomonda

F

nuqta olingan.

EF

AC

kesmalar

P

nuqtada kesishadi.

AD = 4AF

AC = 3AP

ABEP

to'rtburchakning yuzi 16 ga teng bo'lsa shtrixlangan soha yuzini toping.

28.

ABCDEFHI

muntazam sakkizburchak va

AGJKI

muntazam beshburchak berilgan. Bunga ko'ra

BAG

burchakni toping.

29.

ABCD

to'g'ri to'rtburchakning

A

uchi koordinatalar boshidan,

B

uchi

Ox

o'qida.

C

uchining koordinatasi

(5; 4)

\frac{1}{2}\overrightarrow{BE} = \overrightarrow{BC}

bo'lsa,

ABED

to'rtburchakning yuzini toping.

30.

Tekislikda yotmagan

A

nuqta orqali tekislikka

AH

balandlik va

AM

og'ma tushirilgan. Agar og'ma va tekislik orasidagi burchak

37^\circ

AH = 6

bo'lsa,

H

uchidan

AM

og'magacha bo'lgan eng qisqa masofani toping. (

\cos 37^\circ = 0{,}8

deb oling)

31.

A \in \{-3 \le x < 5; x \in Z\}

B \in \{-5 \le x < 3; x \in Z\}

C \in \{-4 \le x < 6; \in Z\}

D \in \{-3 \le x < 7; x \in Z\}

bo'lsa,

(A \cup C)' \cap (B \cup D)

ning qism to'plamlari sonini toping.

32.

To'rt xonali sonlar ichidan raqamlari toq sonlardan iborat bo'lgan va 5 ga karrali son bo'lish ehtimolligini toping.

Topshiriqlar (33-35) va javob variantlari (A-F) ni o'zaro moslashtiring.

33-35.

Diametri

10\ cm

ga teng bo'lgan ikkita bir xil silindr berilgan. Silindrdan kesim kesib olinib tirsak yasaldi. (

\pi \approx 3

deb oling)

Javob variantlari:

1200

900

30\sqrt{2}

10\sqrt{13}

2250

3000

36.

\begin{cases} x^2 - 3x + 9 = 5y^2 + y - 13 \\ y^2 - 3y + 2 = xy - 3y - 2x + 6 \end{cases}

a) Tenglamalar sistemasini qanoatlantiruvchi nechta

(x; y)

juftligi mavjud?

b) Yechimlari

(x_1; y_1); (x_2; y_2); \ldots (x_n; y_n)

bo'lsa,

x_1 + x_2 + x_3 + \ldots + x_n

ni toping.

37.

2\cos^2 3x + (4a^2 - 7)\cos 3x + 2a^2 - 4 = 0

tenglama berilgan.

\left[-\frac{\pi}{2}; \frac{\pi}{2}\right]

oraliqda eng kamida nechta yechimga ega bo'ladi?

\left[-\frac{\pi}{3}; \frac{\pi}{2}\right]

oraliqda 3 ta ildizga ega bo'ladigan

a

ning eng kichik natural qiymatini toping.

38.

f(x) = ax^2 + bx + c

kvadrat funksiya berilgan. Parabola uchi

(1; 4)

nuqtada. Parabola

Ox

o'qini

(-2; 0)

(k; 0)

nuqtalarda kesib o'tadi.

\frac{a + b + c}{k}

ni hisoblang.

b) Agar

g(x) = 3f\left(\frac{x}{5}\right) - 2

bo'lsa,

g(x)

funksiyaning parabola uchlari koordinatalari yig'indisini toping.

39.

(-9; 3)

oraliqda

f(x)

funksiyaning hosilasining grafigi tasvirlangan.

f(x)

funksiyaning

(-5; 3)

oraliqdagi qaysi nuqtada eng katta qiymatga erishadi?

f(x)

funksiyaning

(-9; -3)

oraliqdagi qaysi nuqtada eng kichik qiymatga erishadi?

40.

y_1 = \sqrt{x - 1} + 2

y_2 = \frac{x + 3}{2}

funksiyalar

A

B

nuqtalarda kesishadi.

A

B

nuqtalar orasidagi masofani toping.

y_1

y_2

funksiyalarning kesishishidan hosil bo'lgan soha yuzini toping.

41.

ABC

to'g'ri burchakli uchburchak berilgan.

\angle BDF = \alpha = 135^\circ

BD = \sqrt{2}

FE = 2EC = 2

AF = 3

bo'lsa,

ABC

uchburchakning

BC

gipotenuzasini toping.

b) Shtrixlangan sohalar yuzlarining yig'indisini toping.

42.

ABCD

parallelogramning o'tmas burchagi

120^\circ

ga va perimetri 26 ga teng.

ABD

uchburchakka aylana ichki chizilgan. Aylana radiusi

\sqrt{3}

ga teng.

a) Parallelogram yuzini toping.

b) Parallelogramning katta tomonini toping.

43.

Muntazam o'nikkiburchakning tomoni

\sqrt{3} - 1

ga teng.

|LC|

ni toping.

LEF

bo'yalgan soha yuzasini toping.

44.

Radiusi

R

ga teng bo'lgan yarim aylana berilgan. Undan konus yasaldi.

a) Konus yasovchisi va o'qi orasidagi burchakning sinusini toping.

R = 2\sqrt{3}

bo'lsa, konusga ichki chizilgan sfera sirtining yuzini toping. (

\pi \approx 3

deb olinsin)

45.

Kema harakatga kelishi uchun ishchilarga va yoqilg'iga pul sarflaydi. Ishchilarga soatiga 250 \

dan, yoqilg'i uchun esa soatiga

v^3

\

pul sarflaydi. Kemaning o'rtacha tezligi

v

(

km/h

) ga teng.

a) Agar

10\ km

masofani bosib o'tish uchun eng kam pul sarflansa,

v

(

km/h

) toping.

10\ km

masofani bosib o'tish uchun eng kam qancha harajat sarflanadi?

Savol	A	B	C	D	E	F
33. Hosil bo'lgan jism yon sirtining yuzini ( $cm^2$ ) toping.
34. Hosil bo'lgan jismning hajmini ( $cm^3$ ) toping.
35. Kesimning uzunligini ( $cm$ ) toping.