https://politeh226.ucoz.ru/publ/ Каталог статей Sun, 16 Mar 2014 19:13:42 GMT uCoz Web-Service Видео "Как легко запомнить формулы приведения" https://politeh226.ucoz.ru/publ/planimetrija/ehlementy_trigonometrii/formuly_privedenija/11-1-0-10 элементы тригонометрии https://politeh226.ucoz.ru/publ/planimetrija/ehlementy_trigonometrii/formuly_privedenija/11-1-0-10 Sun, 16 Mar 2014 19:13:42 GMT <p class="MsoNormal" style="margin-bottom:0cm;margin-bottom:.0001pt;line-height: normal"><span style="font-size:12.0pt;font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman";mso-fareast-language:RU">Угол, вершина которого лежит в центре окружности, а стороны, <span style="mso-spacerun:yes">&nbsp;</span>пересекают окружность, <span style="mso-spacerun:yes">&nbsp;</span>называется - ЦЕНТРАЛЬНЫМ.</span></p> <span style="font-size:12.0pt;line-height:115%;font-family:"Times New Roman","serif"; mso-fareast-font-family:"Times New Roman";mso-ansi-language:RU;mso-fareast-language: RU;mso-bidi-language:AR-SA">Угол, вершина которого лежит на окружности, а стороны пересекают ее, называется -ВПИСАННЫМ</span> <span style="font-family: "Times New Roman";"><span style="font-size: 12pt;"></span></span> https://politeh226.ucoz.ru/publ/planimetrija/okruzhnost/centralnyj_i_vpisannyj_ugly/12-1-0-8 окружность https://politeh226.ucoz.ru/publ/planimetrija/okruzhnost/centralnyj_i_vpisannyj_ugly/12-1-0-8 Sun, 23 Jun 2013 14:21:33 GMT <p style="language:ru;margin-top:14.4pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman"; color: rgb(255, 51, 0); font-size: 12pt;">Теорема.</span><span style="font-family: "Times New Roman"; color: rgb(0, 204, 153); font-weight: 700; font-size: 12pt;"> </span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">Средняя линия трапеции параллельна основаниям и равна их </span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">полусумме</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">.</span></span></p> https://politeh226.ucoz.ru/publ/planimetrija/vypuklye_chetyrekhugolniki/teorema_o_srednej_linii_trapecii/8-1-0-7 выпуклые четырехугольники https://politeh226.ucoz.ru/publ/planimetrija/vypuklye_chetyrekhugolniki/teorema_o_srednej_linii_trapecii/8-1-0-7 Sun, 23 Jun 2013 13:58:12 GMT <p style="language:ru;margin-top:16.8pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman"; color: rgb(255, 51, 0); font-size: 12pt;">Трапецией</span><span style="font-family: "Times New Roman"; color: rgb(0, 204, 153); font-style: italic; font-size: 12pt;"> </span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">называется четырехугольник, у которого две стороны параллельны, а две другие не параллельны.</span></span></p> https://politeh226.ucoz.ru/publ/planimetrija/vypuklye_chetyrekhugolniki/trapecija/8-1-0-6 выпуклые четырехугольники https://politeh226.ucoz.ru/publ/planimetrija/vypuklye_chetyrekhugolniki/trapecija/8-1-0-6 Sun, 23 Jun 2013 13:51:59 GMT <p style="language:ru;margin-top:16.8pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman";"><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">Б</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">иссектриса угла треугольника делит противоположную сторону на части, пропорциональные прилежащим сторонам</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">, т.е. </span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">если </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">CD</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> – биссектриса треугольника </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">ABC</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">, то </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">AD</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> : </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">DB = AC</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> : </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">BC</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">.</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"><span style="font-size: 12pt; font-family: "Times New Roman";">&nbsp;</span></span></span></span><span style="font-size:28.0pt;font-family:"Times New Roman";mso-ascii-font-family: "Times New Roman";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:+mn-cs; mso-fareast-theme-font:minor-fareast;mso-bidi-theme-font:minor-bidi;color:black; mso-color-index:1;mso-font-kerning:12.0pt;language:ru;mso-style-textfill-type: solid;mso-style-textfill-fill-themecolor:text1;mso-style-textfill-fill-color: black;mso-style-textfill-fill-alpha:100.0%"><span style="mso-spacerun:yes"> </span></span></p> https://politeh226.ucoz.ru/publ/planimetrija/treugolniki/svojstvo_bissektrisy_treugolnika/6-1-0-5 треугольники https://politeh226.ucoz.ru/publ/planimetrija/treugolniki/svojstvo_bissektrisy_treugolnika/6-1-0-5 Sun, 23 Jun 2013 13:46:11 GMT <p style="language:ru;margin-top:16.8pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman";"><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">Отношением</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"><span style="font-size: 12pt; font-family: "Times New Roman";">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">двух отрезков </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">AB</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> и </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">CD</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> называется число, показывающее сколько раз отрезок </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">CD</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> и его части укладываются в отрезке </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">АВ</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">.</span></span></span><span style="font-size:28.0pt;font-family:"Times New Roman";mso-ascii-font-family: "Times New Roman";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast;color:black;mso-color-index:1;mso-font-kerning: 12.0pt;language:ru;mso-style-textfill-type:solid;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-color:black;mso-style-textfill-fill-alpha:100.0%"> </span> <p style="language:ru;margin-top:16.8pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">Говорят, что отрезки </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">АВ</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">, </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">CD</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> пропорциональны отрезкам </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">A</span><span style="font-family: "Times New Roman"; color: black; vertical-align: sub; font-size: 12pt;">1</span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">B</span><span style="font-family: "Times New Roman"; color: black; vertical-align: sub; font-size: 12pt;">1</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">, </span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">C</span><span style="font-family: "Times New Roman"; color: black; vertical-align: sub; font-size: 12pt;">1</span><span style="font-family: "Times New Roman"; color: black; font-style: italic; font-size: 12pt;">D</span><span style="font-family: "Times New Roman"; color: black; vertical-align: sub; font-size: 12pt;">1</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">, если равны их отношения</span></span><span style="font-size: 28.0pt;font-family:"Times New Roman";mso-ascii-font-family:"Times New Roman"; mso-fareast-font-family:+mn-ea;mso-bidi-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast;color:black;mso-color-index:1;mso-font-kerning: 12.0pt;language:ru;mso-style-textfill-type:solid;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-color:black;mso-style-textfill-fill-alpha:100.0%"> </span></p> <span style="font-size:28.0pt;font-family:"Times New Roman";mso-ascii-font-family: "Times New Roman";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast;color:black;mso-color-index:1;mso-font-kerning: 12.0pt;language:ru;mso-style-textfill-type:solid;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-color:black;mso-style-textfill-fill-alpha:100.0%">&nbsp;</span></p> https://politeh226.ucoz.ru/publ/planimetrija/podobie/proporcionalnye_otrezki/10-1-0-4 подобие https://politeh226.ucoz.ru/publ/planimetrija/podobie/proporcionalnye_otrezki/10-1-0-4 Sun, 23 Jun 2013 13:40:30 GMT <p style="language:ru;margin-top:19.2pt;margin-bottom:0pt;text-align:justify; text-justify:inter-ideograph;direction:ltr;unicode-bidi:embed;vertical-align: baseline"><span style="font-size: 12pt;"><span style="font-family: "Times New Roman";"><span style="font-family: "Times New Roman"; color: rgb(255, 51, 0); font-size: 12pt;">Т</span><span style="font-family: "Times New Roman"; color: rgb(255, 51, 0); font-size: 12pt;">еорема.</span><span style="font-family: "Times New Roman"; color: rgb(0, 204, 153); font-style: italic; font-size: 12pt;"> </span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">Если параллельные прямые, пересекающие стороны угла, отсекают на одной его стороне равные отрезки, то они отсекают равные отрезки и на другой его стороне</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;"> (рис. а)</span><span style="font-family: "Times New Roman"; color: black; font-size: 12pt;">.</span></span></span><span style="font-size:32.0pt;font-family:"Times New Roman";mso-ascii-font-family: "Times New Roman";mso-fareast-font-family:+mn-ea;mso-bidi-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast;color:black;mso-color-index:1;mso-font-kerning: 12.0pt;language:ru;mso-style-textfill-type:solid;mso-style-textfill-fill-themecolor: text1;mso-style-textfill-fill-color:black;mso-style-textfill-fill-alpha:100.0%"> </span></p> https://politeh226.ucoz.ru/publ/planimetrija/parallelnye_prjamye/teorema_falesa/7-1-0-3 параллельные прямые https://politeh226.ucoz.ru/publ/planimetrija/parallelnye_prjamye/teorema_falesa/7-1-0-3 Sun, 23 Jun 2013 12:50:26 GMT Опорный конспект https://politeh226.ucoz.ru/publ/planimetrija/treugolniki/svojstva_srednej_linii_treugolnika/6-1-0-2 треугольники https://politeh226.ucoz.ru/publ/planimetrija/treugolniki/svojstva_srednej_linii_treugolnika/6-1-0-2 Wed, 06 Mar 2013 13:09:51 GMT