Найдите сторону ромба ,острый угол которого 30 ° 30\degree 3 0 ° ,а разность диоганалей равна 3 2 3\sqrt{2} 3 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> .

2 2 2\sqrt{2} 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 2 3\sqrt{2} 3 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

ctg ⁡ x ⋅ ( 1 − cos ⁡ 2 x ) = 0 \operatorname{ctg}x\cdot\left(1-\cos2x\right)=0 c t g x ⋅ ( 1 − cos 2 x ) = 0 Решите уравнение .

π 2 + π k , k ∈ Z \frac{\pi}{2}+\pi k,\ k\in Z 2 π + π k , k ∈ Z

π k , k ∈ Z \pi k,\ \ k\in Z π k , k ∈ Z

π k 4 , k ∈ Z \frac{\pi k}{4},\ \ k\in Z 4 π k , k ∈ Z

π 2 + π k ; π k , k ∈ Z \frac{\pi}{2}+\pi k\ ;\ \pi k\ ,k\in Z 2 π + π k ; π k , k ∈ Z

( 1 − 3 i ) ⋅ ( 3 + i ) \left(1-\sqrt{3}i\right)\cdot\left(\sqrt{3}+i\right) ( 1 − 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> i ) ⋅ ( 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + i ) Найдите аргумент комплексного числа.

11 π 6 \frac{11\pi}{6} 6 1 1 π

x ⋅ ∣ x − 2 ∣ > 0 x\cdot\left|x-2\right|>0 x ⋅ ∣ x − 2 ∣ > 0 Решите неравенство .

( 0 ; 2 ) ∪ ( 2 ; + ∞ ) \left(0;2\right)\cup\left(2;+\infty\right) ( 0 ; 2 ) ∪ ( 2 ; + ∞ )

( 0 ; + ∞ ) \left(0;+\infty\right) ( 0 ; + ∞ )

( 2 ; + ∞ ) \left(2;+\infty\right) ( 2 ; + ∞ )

( 0 ; 1 ) ∪ ( 1 ; + ∞ ) \left(0;1\right)\cup\left(1;+\infty\right) ( 0 ; 1 ) ∪ ( 1 ; + ∞ )

arccos ⁡ 3 2 + arcsin ⁡ 1 2 + a r ctg ⁡ 1 \arccos\ \frac{\sqrt{3}}{2}+\arcsin\ \frac{1}{2}+ar\operatorname{ctg}1 arccos 2 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> + arcsin 2 1 + a r c t g 1 Найдите значение выражения .

7 π 12 \frac{7\pi}{12} 1 2 7 π

11 класс выпускной

Authored by Sevil Ismayilova

Mathematics, Science

11th Grade

Used 9+ times

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25 questions

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MULTIPLE SELECT QUESTION

2 mins • 1 pt

Решите уравнение: $\lg\left(x^2-4\right)-\lg\left(3x-4\right)$ =0

0; $\frac{4}{3}$

0;3

1;4

$\frac{4}{3}$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Линейные размеры прямоугольного паралелепипеда относятся как 1:2:3.Найдите объем паралелепипеда ,если его полная поверхность равна 88 м².

72 м³

64 м³

48 м³

32 м³

36 м³

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Найдите сторону ромба ,острый угол которого $30\degree$ ,а разность диоганалей равна $3\sqrt{2}$ .

$2\sqrt{2}$

$3\sqrt{2}$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$\left(\frac{5а^2}{а-в}+\frac{5в^2}{в-а}\right):\left(2а+2в\right)$ Упростите выражение:

$\frac{5а+5в}{2а-2в}$

$\frac{10ав}{а-в}$

$\frac{5а-5в}{2}$

2,5

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$\operatorname{ctg}x\cdot\left(1-\cos2x\right)=0$ Решите уравнение .

$\frac{\pi}{2}+\pi k,\ k\in Z$

$\pi k,\ \ k\in Z$

$\frac{\pi k}{4},\ \ k\in Z$

$\frac{\pi}{2}+\pi k\ ;\ \pi k\ ,k\in Z$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

Высота правильной четырехугольной пирамиды равна 14 см,а сторона основания 16 см.Найдите длину бокового ребра.

15 см

12 см

18 см

17 см

21 см

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$\left(17-4^{iog_23}\right)^{\log_813}\$ Найдите значение выражения.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$\left(1-\sqrt{3}i\right)\cdot\left(\sqrt{3}+i\right)$ Найдите аргумент комплексного числа.

$\frac{11\pi}{6}$

$\frac{2\pi}{3}$

$\frac{4\pi}{3}$

$\frac{7\pi}{3}$

$\frac{3\pi}{4}$

MULTIPLE SELECT QUESTION

2 mins • 1 pt

При каком значении а ,система уравнений имеет бесконечно много решений? $\left\{8x+ay=a,\ 3ax+6y=a+2\right\}$

-4

10.

MULTIPLE SELECT QUESTION

2 mins • 1 pt

$x\cdot\left|x-2\right|>0$ Решите неравенство .

$\left(0;+\infty\right)$

$\left(2;+\infty\right)$

$\left(0;1\right)\cup\left(1;+\infty\right)$

$\left(0;2\right)\cup\left(2;+\infty\right)$

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11 класс выпускной

Решите уравнение: lg⁡(x2−4)−lg⁡(3x−4)\lg\left(x^2-4\right)-\lg\left(3x-4\right)lg(x2−4)−lg(3x−4) =0

Линейные размеры прямоугольного паралелепипеда относятся как 1:2:3.Найдите объем паралелепипеда ,если его полная поверхность равна 88 м2.

Найдите сторону ромба ,острый угол которого 30°30\degree30° ,а разность диоганалей равна 323\sqrt{2}32​ .

(5а2а−в+5в2в−а):(2а+2в)\left(\frac{5а^2}{а-в}+\frac{5в^2}{в-а}\right):\left(2а+2в\right)(а−в5а2​+в−а5в2​):(2а+2в) Упростите выражение:

ctg⁡x⋅(1−cos⁡2x)=0\operatorname{ctg}x\cdot\left(1-\cos2x\right)=0ctgx⋅(1−cos2x)=0 Решите уравнение .

Высота правильной четырехугольной пирамиды равна 14 см,а сторона основания 16 см.Найдите длину бокового ребра.

(17−4iog23)log⁡813 \left(17-4^{iog_23}\right)^{\log_813}\ (17−4iog2​3)log8​13 Найдите значение выражения.

(1−3i)⋅(3+i)\left(1-\sqrt{3}i\right)\cdot\left(\sqrt{3}+i\right)(1−3​i)⋅(3​+i) Найдите аргумент комплексного числа.

При каком значении а ,система уравнений имеет бесконечно много решений? {8x+ay=a, 3ax+6y=a+2}\left\{8x+ay=a,\ 3ax+6y=a+2\right\}{8x+ay=a, 3ax+6y=a+2}

x⋅∣x−2∣>0x\cdot\left|x-2\right|>0x⋅∣x−2∣>0 Решите неравенство .

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Решите уравнение: $\lg\left(x^2-4\right)-\lg\left(3x-4\right)$ =0

Линейные размеры прямоугольного паралелепипеда относятся как 1:2:3.Найдите объем паралелепипеда ,если его полная поверхность равна 88 м².

Найдите сторону ромба ,острый угол которого $30\degree$ ,а разность диоганалей равна $3\sqrt{2}$ .

$\left(\frac{5а^2}{а-в}+\frac{5в^2}{в-а}\right):\left(2а+2в\right)$ Упростите выражение:

$\operatorname{ctg}x\cdot\left(1-\cos2x\right)=0$ Решите уравнение .

$\left(17-4^{iog_23}\right)^{\log_813}\$ Найдите значение выражения.

$\left(1-\sqrt{3}i\right)\cdot\left(\sqrt{3}+i\right)$ Найдите аргумент комплексного числа.

При каком значении а ,система уравнений имеет бесконечно много решений? $\left\{8x+ay=a,\ 3ax+6y=a+2\right\}$

$x\cdot\left|x-2\right|>0$ Решите неравенство .