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ДВИ МГУ
01 Планиметрия
02 Вектора
03 Стереометрия
04 Теория вероятностей ч.1
05 Теория вероятностей ч.2
06 Простейшие уравнения
07 Вычисления
08 Производная, ПО
09 «Прикладные» задачи
10 Текстовые задачи
11 Графики функций
12 Исследование функции
13 Уравнения
14 Стереометрические задачи
15 Неравенства
16 Практические задачи
17 Планиметрические задачи
18 Параметры
19 Числа, их свойства
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[13] Уравнения
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Тригонометрические уравнения с ограничениями
Тригонометрические уравнения с ограничениями
Сборник реальных заданий ЕГЭ №13 последних лет
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</div> </div> </div> </div> <script>t_onReady(function() {setTimeout(function() {t_onFuncLoad('t868_initPopup',function() {t868_initPopup('1409793021');});},500);});</script> </div> <div id="rec1175400441" class="r t-rec t-rec_pt_0 t-rec_pt-res-480_0 t-rec_pb_15 t-rec_pb-res-480_15" style="padding-top:0px;padding-bottom:15px; " data-record-type="668"> <!-- T668 --> <div class="t668"> <div class="t-container"> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header t668__opened"> <button type="button" class="t668__trigger-button" aria-controls="accordion1_1175400441" aria-expanded="true" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702760" style=""><span style="color: rgb(63, 138, 177); font-weight: 500;">№ 26.01 И.В. Ященко, сборник 2026</span></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion1_1175400441" style="padding-bottom:15px;padding-left:40px;padding-right:40px;display:block;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702760" style="">а) Решите уравнение:<br /><p style="text-align: center;"><span class="ql-formula" data-value="(-2 \mathrm{cos}^2 x + \mathrm{sin}x + 1) \cdot \log_{0,5} (-0,8 \mathrm{cos}x) = 0."></span></p>б) Найдите все корни этого уравнения, принадлежащие отрезку <span class="ql-formula" data-value="[-6\pi; -4\pi]."></span></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion2_1175400441" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702761" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="color: rgba(0, 0, 0, 0.46); font-weight: 400;">а</span></p></div></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion2_1175400441" hidden style="padding-bottom:15px;padding-left:40px;padding-right:40px;"> <div class="t668__textwrapper"> <img class="t668__img t-img" src="https://thb.tildacdn.com/tild6138-3239-4234-b836-656230316564/-/empty/IMG_2369.jpeg" data-original="https://static.tildacdn.com/tild6138-3239-4234-b836-656230316564/IMG_2369.jpeg" imgfield="li_img__5211734702761" style="max-width:200px;" alt=""> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702761" style=""><p style="text-align: center;"><span class="ql-formula" data-value="\begin{cases}__new_line__\left[__new_line__\begin{aligned}__new_line__&-2\cos^2 x + \sin x + 1 = 0,\\__new_line__&\log_{0,5}(-0,8\cos x) = 0;__new_line__\end{aligned}__new_line__\right.__new_line__\\-0,8cosx\gt 0;__new_line__\end{cases}"></span></p><br /><p style="text-align: center;"><span class="ql-formula" data-value="\begin{cases}__new_line__\left[__new_line__\begin{aligned}__new_line__&-2(1-sin^2x) + \sin x + 1 = 0,\\__new_line__&-0,8\cos x= 1;__new_line__\end{aligned}__new_line__\right.__new_line__\\cosx\gt 0;__new_line__\end{cases}"></span></p><br /><p style="text-align: center;"><span class="ql-formula" data-value="\begin{cases}__new_line__\left[__new_line__\begin{aligned}__new_line__&2sin^2x+ \sin x -1 = 0,\\__new_line__&\cos x= -1,25;__new_line__\end{aligned}__new_line__\right.__new_line__\\cosx\lt 0;__new_line__\end{cases}"></span></p>Уравнение <span class="ql-formula" data-value="\cos x= -1,25"></span> решении не имеет, так как <span class="ql-formula" data-value="|cosx|\leq 1."></span><br />На рисунке пометили желтым цветом зону <span class="ql-formula" data-value="\cos x\lt 0."></span><br /><p style="text-align: left;">В ответ проходит только одна серия точек:<span class="ql-formula" data-value="\;x=\frac{5\pi}{6}+2\pi n,n\in Z."></span></p><br /><p style="text-align: left;">Ответ: а) <span class="ql-formula" data-value="\dfrac{5\pi}{6}+2\pi n,n\in Z."></span></p></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion3_1175400441" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702762" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="font-weight: 400;">б</span></p></div></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion3_1175400441" hidden style="padding-bottom:15px;padding-left:40px;padding-right:40px;"> <div class="t668__textwrapper"> <img class="t668__img t-img" src="https://thb.tildacdn.com/tild3266-3861-4333-a265-666164643765/-/empty/IMG_2371.jpeg" data-original="https://static.tildacdn.com/tild3266-3861-4333-a265-666164643765/IMG_2371.jpeg" imgfield="li_img__5211734702762" style="max-width:200px;" alt=""> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702762" style="">Произведем отбор корней уравнения из указанного отрезка при помощи тригонометрической окружности.<br /><p style="text-align: center;"><span class="ql-formula" data-value="-5\pi-\dfrac{\pi}{6}=-\dfrac{31\pi}{6}."></span></p>Ответ: б) <span class="ql-formula" data-value="-\dfrac{31\pi}{6}."></span></div> </div> </div> </div> </div> </div> </div> </div> <style>#rec1175400441 .t668__content{padding-bottom:0px !important;}#rec1175400441 .t668__textwrapper{padding-bottom:15px;}</style> <script>t_onReady(function() {t_onFuncLoad('t668_init',function() {t668_init('1175400441');});});</script> <style> #rec1175400441 .t668__title{font-size:18px;line-height:2;color:#8b8177;font-family:'IBM Plex Sans';font-weight:700;}#rec1175400441 .t668__text{font-size:16px;line-height:2;color:#161616;font-family:'IBM Plex Sans';font-weight:300;padding-top:5px;padding-bottom:5px;}@media screen and (max-width:480px),(orientation:landscape) and (max-height:480px){#rec1175400441 .t668__text{font-size:14px;line-height:2;}}</style> <style> #rec1175400441 .t668__wrapper{border-radius:15px;}</style> </div> <div id="rec1388551321" class="r t-rec t-rec_pt_0 t-rec_pt-res-480_0 t-rec_pb_15 t-rec_pb-res-480_15" style="padding-top:0px;padding-bottom:15px; " data-record-type="668"> <!-- T668 --> <div class="t668"> <div class="t-container"> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header t668__opened"> <button type="button" class="t668__trigger-button" aria-controls="accordion1_1388551321" aria-expanded="true" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__8711754004410" style=""><span style="font-weight: 500; color: rgb(63, 138, 177);">№ 23.01. ЕГЭ, пробник 2023</span></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion1_1388551321" style="padding-bottom:15px;padding-left:40px;padding-right:40px;display:block;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__8711754004410" style="">а) Решите уравнение:<br /><p style="text-align: center;"><span class="ql-formula" data-value="\sqrt{2\cos^2x-4\cos x+3}=\sqrt{\cos x+6}."></span></p>б) Найдите все корни этого уравнения, принадлежащие отрезку <span class="ql-formula" data-value="\left[\dfrac{7\pi}{2};5\pi\right]."></span></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion2_1388551321" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__8711754004411" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="color: rgba(0, 0, 0, 0.46); font-weight: 400;">а</span></p></div></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion2_1388551321" hidden style="padding-bottom:15px;padding-left:40px;padding-right:40px;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__8711754004411" style=""><p style="text-align: center;"><span class="ql-formula" data-value="\sqrt{2\cos^2x-4\cos x+3}=\sqrt{\cos x+6};"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="2\cos^2x-4\cos x+3=\cos x+6"></span> при условии <span class="ql-formula" data-value="\cos x+6\geq 0."></span></p>Указанное условие выполняется всегда.<br /><p style="text-align: center;"><span class="ql-formula" data-value="2\cos^2x-5\cos x-3=0;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\cos x=\dfrac{5\pm7}{4};"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\cos x=-\dfrac{1}{2};"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="x=\pm\dfrac{2\pi}{3}+2\pi k, \;k\in Z;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="x=\dfrac{5\pi}{4}+2\pi k, \;k\in Z."></span></p><p style="text-align: left;">Ответ: <span class="ql-formula" data-value="а) \pm\dfrac{2\pi}{3}+2\pi k, \;k\in Z; \;\dfrac{5\pi}{4}+2\pi k, \;k\in Z."></span></p></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion3_1388551321" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;padding-left:40px; padding-right:40px;"> <span class="t668__title t-name t-name_xl" field="li_title__8711754004412" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="font-weight: 400;">б</span></p></div></span> <span class="t668__icon" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover" style="right: 40px;"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion3_1388551321" hidden style="padding-bottom:15px;padding-left:40px;padding-right:40px;"> <div class="t668__textwrapper"> <img class="t668__img t-img" src="https://thb.tildacdn.com/tild3634-3963-4231-b762-636634303437/-/empty/IMG_9074.jpeg" data-original="https://static.tildacdn.com/tild3634-3963-4231-b762-636634303437/IMG_9074.jpeg" imgfield="li_img__8711754004412" style="max-width:230px;" alt=""> <div class="t668__text t-descr t-descr_xs" field="li_descr__8711754004412" style="">Произведем отбор корней уравнения из отрезка <span class="ql-formula" data-value="\left[\dfrac{7\pi}{2};5\pi\right]"></span> при помощи тригонометрической окружности.<br />Ответ: б) <span class="ql-formula" data-value="\dfrac{14\pi}{3}."></span></div> </div> </div> </div> </div> </div> </div> </div> <style>#rec1388551321 .t668__content{padding-bottom:0px !important;}#rec1388551321 .t668__textwrapper{padding-bottom:15px;}</style> <script>t_onReady(function() {t_onFuncLoad('t668_init',function() {t668_init('1388551321');});});</script> <style> #rec1388551321 .t668__title{font-size:18px;line-height:2;color:#8b8177;font-family:'IBM Plex Sans';font-weight:700;}#rec1388551321 .t668__text{font-size:16px;line-height:2;color:#161616;font-family:'IBM Plex Sans';font-weight:300;padding-top:5px;padding-bottom:5px;}@media screen and (max-width:480px),(orientation:landscape) and (max-height:480px){#rec1388551321 .t668__text{font-size:14px;line-height:2;}}</style> <style> #rec1388551321 .t668__wrapper{border-radius:15px;}</style> </div> <div id="rec1175489256" class="r t-rec t-rec_pt_0 t-rec_pt-res-480_0 t-rec_pb_15 t-rec_pb-res-480_15" style="padding-top:0px;padding-bottom:15px; " data-record-type="668"> <!-- T668 --> <div class="t668"> <div class="t-container"> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header t668__opened"> <button type="button" class="t668__trigger-button" aria-controls="accordion1_1175489256" aria-expanded="true" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702760" style=""><span style="color: rgb(63, 138, 177); font-weight: 500;">№ 23.02. ЕГЭ, резерв 2023</span></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion1_1175489256" style="padding-bottom:15px;display:block;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702760" style="">а) Решите уравнение:<br /><p style="text-align: center;"><span class="ql-formula" data-value="\log_3x\cdot \log_3(4x^2-1)=\log_3\dfrac{x(4x^2-1)}{3}."></span></p>б) Найдите все корни этого уравнения, принадлежащие отрезку <span class="ql-formula" data-value="[\log_52;\log_527]."></span></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion2_1175489256" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702761" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="color: rgba(0, 0, 0, 0.46); font-weight: 400;">а</span></p></div></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion2_1175489256" hidden style="padding-bottom:15px;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702761" style=""><p style="text-align: center;"><span class="ql-formula" data-value="\log_3x\cdot \log_3(4x^2-1)=\log_3\dfrac{x(4x^2-1)}{3};"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\log_3x\cdot \log_3(4x^2-1)="></span></p><p style="text-align: center;"><span class="ql-formula" data-value="=\log_3x+\log_3(4x^2-1)-\log_33;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\log_3x(\log_3(4x^2-1)-1)-"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="-(\log_3(4x^2-1)-1)=0;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="(\log_3(4x^2-1)-1)(\log_3x-1)=0;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="(\log_3(4x^2-1)-\log_33)(\log_3x-\log_33)=0;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="(4x^2-1-3)(x-3)=0"></span> при условии <span class="ql-formula" data-value="x\gt0,5;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="x=1"></span> или <span class="ql-formula" data-value="x=3."></span></p><p style="text-align: left;">Ответ: а) <span class="ql-formula" data-value="x=1; \;3."></span></p></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion3_1175489256" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702762" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="font-weight: 400;">б</span></p></div></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion3_1175489256" hidden style="padding-bottom:15px;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702762" style="">Найдем корни уравнения, принадлежащие отрезку <span class="ql-formula" data-value="[\log_52;\log_527]:"></span><br /><span class="ql-formula" data-value="\log_52\lt\log_55=1\lt\log_527,"></span> значит <span class="ql-formula" data-value="1"></span> принадлежит отрезку <span class="ql-formula" data-value="[\log_52;\log_527]."></span><br /><span class="ql-formula" data-value="3=\log_5125\gt\log_527,"></span> значит <span class="ql-formula" data-value="3"></span> не принадлежит отрезку <span class="ql-formula" data-value="[\log_52;\log_527]."></span><br />Ответ: б) <span class="ql-formula" data-value="x=1."></span></div> </div> </div> </div> </div> </div> </div> </div> <style>#rec1175489256 .t668__content{padding-bottom:0px !important;}#rec1175489256 .t668__textwrapper{padding-bottom:15px;}</style> <script>t_onReady(function() {t_onFuncLoad('t668_init',function() {t668_init('1175489256');});});</script> <style> #rec1175489256 .t668__title{font-size:18px;line-height:2;color:#8b8177;font-family:'IBM Plex Sans';font-weight:700;}#rec1175489256 .t668__text{font-size:16px;line-height:2;color:#161616;font-family:'IBM Plex Sans';font-weight:300;padding-top:5px;padding-bottom:5px;}@media screen and (max-width:480px),(orientation:landscape) and (max-height:480px){#rec1175489256 .t668__text{font-size:14px;line-height:2;}}</style> <style> #rec1175489256 .t668__wrapper{border-radius:15px;}</style> </div> <div id="rec1175530391" class="r t-rec t-rec_pt_0 t-rec_pt-res-480_0 t-rec_pb_15 t-rec_pb-res-480_15" style="padding-top:0px;padding-bottom:15px; " data-record-type="668"> <!-- T668 --> <div class="t668"> <div class="t-container"> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header t668__opened"> <button type="button" class="t668__trigger-button" aria-controls="accordion1_1175530391" aria-expanded="true" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702760" style=""><span style="font-weight: 500; color: rgb(63, 138, 177);">№ 23.03. ЕГЭ, Статрад 2023</span></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion1_1175530391" style="padding-bottom:15px;display:block;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702760" style="">а) Решите уравнение:<br /><p style="text-align: center;"><span class="ql-formula" data-value="\dfrac{3\tg^2x-1}{2\cos x+\sqrt{3}}=0."></span></p>б) Найдите все корни этого уравнения, принадлежащие отрезку <span class="ql-formula" data-value="\left[\dfrac{3\pi}{2};3\pi\right]."></span></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion2_1175530391" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702761" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="color: rgba(0, 0, 0, 0.46); font-weight: 400;">а</span></p></div></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion2_1175530391" hidden style="padding-bottom:15px;"> <div class="t668__textwrapper"> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702761" style=""><p style="text-align: center;"><span class="ql-formula" data-value="\dfrac{3\tg^2x-1}{2\cos x+\sqrt{3}}=0;"></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\left\{\begin{aligned}__new_line__&3\tg^2x-1=0, \\__new_line__&\cos x\neq -\dfrac{\sqrt{3}}{2};__new_line__\end{aligned}\right."></span></p><p style="text-align: center;"><span class="ql-formula" data-value="\left\{\begin{aligned}__new_line__&\tg x=\pm\dfrac{1}{\sqrt{3}}, \\__new_line__&\cos x\neq -\dfrac{\sqrt{3}}{2};__new_line__\end{aligned}\right."></span></p><p style="text-align: center;"><span class="ql-formula" data-value="x=\pm\dfrac{\pi}{6}+2\pi k, \;k\in Z."></span></p>Ответ: а) <span class="ql-formula" data-value="\pm\dfrac{\pi}{6}+2\pi k, \;k\in Z."></span></div> </div> </div> </div> </div> </div> <div class="t668__col t-col t-col_10 t-prefix_1" style="margin-bottom:2px;"> <div class="t668__accordion" data-accordion="false" data-scroll-to-expanded="false"> <div class="t668__wrapper" style="background-color: #ffffff;"> <div class="t668__header "> <button type="button" class="t668__trigger-button" aria-controls="accordion3_1175530391" aria-expanded="false" style="padding-top:15px;padding-bottom:15px;"> <span class="t668__title t-name t-name_xl" field="li_title__5211734702762" style=""><div style="line-height: 14px;" data-customstyle="yes"><p style="text-align: center;"><span style="font-weight: 400;">б</span></p></div></span> <span class="t668__icon"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#8b8177"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #ffffff"></span> </span> <span class="t668__icon t668__icon-hover"> <span class="t668__lines"> <svg role="presentation" focusable="false" width="24px" height="24px" viewBox="0 0 24 24" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> <g stroke="none" stroke-width="2px" fill="none" fill-rule="evenodd" stroke-linecap="square"> <g transform="translate(1.000000, 1.000000)" stroke="#3f8ab1"> <path d="M0,11 L22,11"></path> <path d="M11,0 L11,22"></path> </g> </g> </svg> </span> <span class="t668__circle" style="background-color: #f7f1eb"></span> </span> </button> </div> <div class="t668__content" id="accordion3_1175530391" hidden style="padding-bottom:15px;"> <div class="t668__textwrapper"> <img class="t668__img t-img" src="https://thb.tildacdn.com/tild3962-3730-4265-a266-363338663535/-/empty/IMG_9076.jpeg" data-original="https://static.tildacdn.com/tild3962-3730-4265-a266-363338663535/IMG_9076.jpeg" imgfield="li_img__5211734702762" style="max-width:230px;" alt=""> <div class="t668__text t-descr t-descr_xs" field="li_descr__5211734702762" style="">Произведем отбор корней уравнения при помощи тригонометрической окружности.<br />Ответ: б) <span class="ql-formula" data-value="\dfrac{11\pi}{6}; \;\dfrac{13\pi}{6}."></span></div> </div> 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data-field-heightunits-res-320-value="px" data-field-widthunits-res-320-value="px" data-field-textfit-res-320-value="autowidth" data-field-fontsize-res-320-value="16" data-field-top-res-960-value="55" data-field-left-res-960-value="747" data-field-width-res-960-value="183" data-field-fontsize-res-960-value="20"> <div class='tn-atom'><a href="tel:89588254223"target="_blank"style="color: inherit">+7 (958) 825-42-23</a></div> </div> <div class='t396__elem tn-elem tn-elem__11444662211750586138622' data-elem-id='1750586138622' data-elem-type='button' data-field-top-value="71" data-field-left-value="415" data-field-height-value="34" data-field-width-value="184" data-field-axisy-value="top" data-field-axisx-value="center" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-field-widthmode-value="fixed" data-field-heightmode-value="fixed" data-field-fontsize-value="13" data-field-top-res-320-value="76" data-field-left-res-320-value="76" data-field-width-res-320-value="134" data-field-fontsize-res-320-value="11" data-field-top-res-960-value="87" data-field-left-res-960-value="368" data-field-width-res-960-value="174" data-field-axisx-res-960-value="center" data-field-container-res-960-value="grid"> <a class='tn-atom' href="https://t.me/elena_egemaximum" target="_blank"> <div class='tn-atom__button-content'> <span class="tn-atom__button-text">Написать в телеграм</span> </div> </a> </div> <div class='t396__elem tn-elem letter-transform tn-elem__11444662211751208973645 ' data-elem-id='1751208973645' data-elem-type='text' data-field-top-value="69" data-field-left-value="56" data-field-height-value="32" data-field-width-value="97" data-field-axisy-value="top" data-field-axisx-value="left" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-animate-sbs-event="hover" data-animate-sbs-trgels="1470209944682,1750334305358" data-animate-sbs-opts="[{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':0,'ea':'0','dt':0},{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':1000,'ea':'0','dt':0}]" data-field-textfit-value="fixedsize" data-field-fontsize-value="20" data-field-top-res-320-value="60" data-field-left-res-320-value="20" data-field-height-res-320-value="120" data-field-width-res-320-value="58" data-field-heightunits-res-320-value="px" data-field-widthunits-res-320-value="px" data-field-textfit-res-320-value="autowidth" data-field-fontsize-res-320-value="13" data-field-top-res-960-value="79" data-field-left-res-960-value="10" data-field-width-res-960-value="80" data-field-fontsize-res-960-value="18"> <div class='tn-atom'><a href="/"style="color: inherit">maximum</a></div> </div> <div class='t396__elem tn-elem letter-transform tn-elem__11444662211751208973651 ' data-elem-id='1751208973651' data-elem-type='text' data-field-top-value="39" data-field-left-value="56" data-field-height-value="30" data-field-width-value="40" data-field-axisy-value="top" data-field-axisx-value="left" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-animate-sbs-event="hover" data-animate-sbs-trgels="1470209944682,1750334305358" data-animate-sbs-opts="[{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':0,'ea':'0','dt':0},{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':1000,'ea':'0','dt':0}]" data-field-textfit-value="fixedsize" data-field-fontsize-value="20" data-field-top-res-320-value="48" data-field-left-res-320-value="20" data-field-height-res-320-value="120" data-field-width-res-320-value="24" data-field-heightunits-res-320-value="px" data-field-widthunits-res-320-value="px" data-field-textfit-res-320-value="autowidth" data-field-fontsize-res-320-value="13" data-field-top-res-960-value="65" data-field-left-res-960-value="10" data-field-width-res-960-value="33" data-field-fontsize-res-960-value="18"> <div class='tn-atom'><a href="/"style="color: inherit">ЕГЭ </a></div> </div> <div class='t396__elem tn-elem tn-elem__11444662211750762674403 ' data-elem-id='1750762674403' data-elem-type='image' data-field-top-value="62" data-field-left-value="621" data-field-height-value="47" data-field-width-value="47" data-field-axisy-value="top" data-field-axisx-value="left" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-animate-mobile="y" data-animate-sbs-event="hover" data-animate-sbs-opts="[{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':0,'ea':'0','dt':0},{'mx':0,'my':0,'sx':1.06,'sy':1.06,'op':1,'ro':0,'ti':500,'ea':'0','dt':0}]" data-field-filewidth-value="78" data-field-fileheight-value="78" data-field-widthmode-value="fixed" data-field-heightmode-value="hug" 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data-field-axisx-value="left" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-animate-mobile="y" data-animate-sbs-event="hover" data-animate-sbs-opts="[{'mx':0,'my':0,'sx':1,'sy':1,'op':1,'ro':0,'ti':0,'ea':'0','dt':0},{'mx':0,'my':0,'sx':1.06,'sy':1.06,'op':1,'ro':0,'ti':500,'ea':'0','dt':0}]" data-field-filewidth-value="78" data-field-fileheight-value="78" data-field-widthmode-value="fixed" data-field-heightmode-value="hug" data-field-top-res-320-value="174" data-field-left-res-320-value="110" data-field-height-res-320-value="30" data-field-width-res-320-value="30" data-field-top-res-960-value="91" data-field-left-res-960-value="454" data-field-height-res-960-value="60" data-field-width-res-960-value="60" data-field-container-res-960-value="grid" data-field-widthmode-res-960-value="fixed"> <a class='tn-atom' href="https://vk.com/club53640239" target="_blank"> <img 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data-field-widthmode-value="fixed" data-field-heightmode-value="hug" data-field-top-res-320-value="174" data-field-left-res-320-value="145" data-field-height-res-320-value="30" data-field-width-res-320-value="30" data-field-top-res-960-value="91" data-field-left-res-960-value="384" data-field-height-res-960-value="60" data-field-width-res-960-value="60" data-field-container-res-960-value="grid" data-field-widthmode-res-960-value="fixed"> <a class='tn-atom' href="https://t.me/egemaximum" target="_blank"> <img class='tn-atom__img t-img' data-original='https://static.tildacdn.com/tild6562-3533-4532-b534-386665303234/svg.svg' src='https://static.tildacdn.com/tild6562-3533-4532-b534-386665303234/svg.svg' alt='' imgfield='tn_img_1750762683563' /> </a> </div> <div class='t396__elem tn-elem tn-elem__11444662211750334410440' data-elem-id='1750334410440' data-elem-type='text' data-field-top-value="29" data-field-left-value="429" data-field-height-value="33" data-field-width-value="330" data-field-axisy-value="top" data-field-axisx-value="left" data-field-container-value="grid" data-field-topunits-value="px" data-field-leftunits-value="px" data-field-heightunits-value="px" data-field-widthunits-value="px" data-field-textfit-value="fixedsize" data-field-fontsize-value="20" data-field-top-res-320-value="146" data-field-left-res-320-value="19" data-field-height-res-320-value="18" data-field-width-res-320-value="281" data-field-heightunits-res-320-value="px" data-field-widthunits-res-320-value="px" data-field-textfit-res-320-value="fixedsize" data-field-fontsize-res-320-value="13" data-field-top-res-960-value="51" data-field-left-res-960-value="329" data-field-height-res-960-value="22" data-field-width-res-960-value="307" data-field-container-res-960-value="grid" data-field-textfit-res-960-value="autowidth" data-field-fontsize-res-960-value="20"> <div class='tn-atom'field='tn_text_1750334410440'>Подписывайтесь на мои соцсети</div> </div> </div> </div> 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