{"id":8066,"date":"2009-04-09T15:06:35","date_gmt":"2009-04-09T12:06:35","guid":{"rendered":"http:\/\/studentpmr.ru\/?p=8066"},"modified":"2009-04-09T15:06:35","modified_gmt":"2009-04-09T12:06:35","slug":"%d0%be%d1%81%d0%bd%d0%be%d0%b2%d0%bd%d1%8b%d0%b5-%d0%b2%d0%b8%d0%b4%d1%8b-%d0%bf%d1%80%d0%be%d0%b5%d0%ba%d1%82%d0%b8%d1%80%d0%be%d0%b2%d0%b0%d0%bd%d0%b8%d1%8f-%d0%bf%d1%80%d0%be%d0%b5%d0%ba%d1%82","status":"publish","type":"post","link":"https:\/\/studentpmr.ru\/?p=8066","title":{"rendered":"\u041e\u0441\u043d\u043e\u0432\u043d\u044b\u0435 \u0432\u0438\u0434\u044b \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f. \u041f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043b\u043e\u0441\u043a\u0438\u0445 \u043e\u0431\u044a\u0435\u043a\u0442\u043e\u0432."},"content":{"rendered":"<p>\u041b\u044e\u0431\u043e\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 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\u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u0445 \u043e\u0441\u0435\u0439 \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b\u0435 (\u043f\u043e\u043f\u0430\u0440\u043d\u043e) \u0443\u0433\u043b\u044b <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image01243.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image012\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image012\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image012-thumb42.gif\" width=\"69\" border=\"0\" \/><\/a><\/p>\n<p>\u0414\u0438\u043c\u0435\u0442\u0440\u0438\u044f &#8212; \u0434\u0432\u0430 \u0443\u0433\u043b\u0430 \u043c\u0435\u0436\u0434\u0443 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u043c\u0438 \u043e\u0441\u044f\u043c\u0438 \u0438 \u043d\u043e\u0440\u043c\u0430\u043b\u044c\u044e \u043a\u0430\u0440\u0442\u0438\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u0440\u0430\u0432\u043d\u044b<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image01435.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image014\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image014\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image014-thumb34.gif\" width=\"69\" border=\"0\" \/><\/a>.<\/p>\n<p>\u0418\u0437\u043e\u043c\u0435\u0442\u0440\u0438\u044f &#8212; \u0432\u0441\u0435 \u0442\u0440\u0438 \u0443\u0433\u043b\u0430 \u0440\u0430\u0432\u043d\u044b<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image01636.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image016\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image016\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image016-thumb34.gif\" width=\"69\" border=\"0\" \/><\/a> .<\/p>\n<p>\u0420\u0430\u0437\u0443\u043c\u0435\u0435\u0442\u0441\u044f, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u0435 \u043b\u044e\u0431\u043e\u0439 \u0438\u0437 \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u043d\u043d\u044b\u0445 \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0439 \u0432\u043e\u0437\u043c\u043e\u0436\u043d\u043e \u043f\u0443\u0442\u0435\u043c \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u0435 \u0440\u044f\u0434\u0430 \u043f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0439 (\u0441\u043c. \u043b\u0435\u043a\u0446\u0438\u044e 7).<\/p>\n<p>\u0414\u043b\u044f \u0442\u0440\u0438\u043c\u0435\u0442\u0440\u0438\u0438 \u043f\u0440\u043e\u0446\u0435\u0441\u0441 \u0441\u0432\u044f\u0437\u0430\u043d \u0441 \u043f\u043e\u0432\u043e\u0440\u043e\u0442\u043e\u043c \u043d\u0430 \u0443\u0433\u043e\u043b j \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e OY, \u043d\u0430 \u0443\u0433\u043e\u043b y \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e OX \u0438 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u0432\u0434\u043e\u043b\u044c OZ. \u041c\u0430\u0442\u0440\u0438\u0446\u0430 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f:<\/p>\n<p>[M]=<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image01834.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image018\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image018\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image018-thumb30.gif\" width=\"148\" border=\"0\" \/><\/a>*<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02027.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image020\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image020\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image020-thumb26.gif\" width=\"147\" border=\"0\" \/><\/a>*<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02226.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image022\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image022\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image022-thumb24.gif\" width=\"85\" border=\"0\" \/><\/a> *<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02423.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image024\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image024\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image024-thumb22.gif\" width=\"181\" border=\"0\" \/><\/a><\/p>\n<p>\u0418\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e \u043d\u0430\u0431\u043b\u044e\u0434\u0430\u0442\u044c, \u043a\u0430\u043a \u043f\u0440\u0438 \u044d\u0442\u043e\u043c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u0443\u044e\u0442\u0441\u044f \u043e\u0440\u0442\u044b \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u0445 \u043e\u0441\u0435\u0439:<\/p>\n<p>(1,0,0,1)*[M] = (cos <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02619.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image026-thumb18.gif\" width=\"16\" border=\"0\" \/><\/a>, sin<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02822.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image028-thumb17.gif\" width=\"15\" border=\"0\" \/><\/a>sin<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image028112.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[1]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[1]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0281-thumb4.gif\" width=\"15\" border=\"0\" \/><\/a>, 0, 1) \u0434\u043b\u044f \u043e\u0441\u0438 OX;<\/p>\n<p>(6) (0,1,0,1)*[M] = (0,cos<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02823.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[2]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[2]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0282-thumb2.gif\" width=\"15\" border=\"0\" \/><\/a>,0,1) \u0434\u043b\u044f \u043e\u0441\u0438 OY;<\/p>\n<p>(0,0,1,1)*[M] = (sin <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image026110.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[1]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[1]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0261-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a>, -sin<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02832.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[3]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[3]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0283-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>cos<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02622.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[2]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[2]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0262-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a>, 0,1) \u0434\u043b\u044f \u043e\u0441\u0438 OZ.<\/p>\n<p>\u041f\u0440\u0438\u043c\u0435\u0447\u0430\u043d\u0438\u0435! \u041f\u0440\u0438 \u0442\u0440\u0438\u043c\u0435\u0442\u0440\u0438\u0438 \u0434\u043b\u0438\u043d\u044b \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0439 \u043f\u043e\u043f\u0430\u0440\u043d\u043e \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b (\u0442.\u043a. \u0440\u0430\u0437\u043b\u0438\u0447\u043d\u044b \u0443\u0433\u043b\u044b).<\/p>\n<p>\u0414\u0438\u043c\u0435\u0442\u0440\u0438\u044f \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0437\u0443\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e\u043c \u0434\u043b\u0438\u043d \u0434\u0432\u0443\u0445 \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0439, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0438\u0437 (5) \u0441\u043b\u0435\u0434\u0443\u0435\u0442:<\/p>\n<p>(7) cos<sup>2<\/sup> <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02632.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[3]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[3]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0263-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> + sin<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02842.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[4]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[4]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0284-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>cos<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02642.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[4]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[4]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0264-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> = cos<sup>2 <\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02852.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[5]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[5]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0285-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a> \u00ae sin<sup>2<\/sup> <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02652.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[5]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[5]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0265-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> = tg<sup>2<\/sup> <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02862.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[6]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[6]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0286-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>.<\/p>\n<p>\u0418\u0437\u043e\u043c\u0435\u0442\u0440\u0438\u044f \u0434\u0430\u0435\u0442 \u043f\u043e\u043f\u0430\u0440\u043d\u043e \u0440\u0430\u0432\u043d\u044b\u0435 \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0438:<\/p>\n<p>? cos<sup>2<\/sup> <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02662.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[6]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[6]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0266-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> + sin<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02872.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[7]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[7]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0287-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>cos<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02672.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[7]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[7]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0267-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> = cos<sup>2 <\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02882.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[8]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[8]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0288-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>; \u0418\u0437 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\u0435\u043d\u0438\u044f (8) \u0432\u044b\u0442\u0435\u043a\u0430\u0435\u0442, \u0447\u0442\u043e <\/p>\n<p>(8) ? cos<sup>2<\/sup> <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02892.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[9]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[9]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0289-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a> + sin<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image028102.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[10]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[10]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02810-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>cos<sup>2<\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02682.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[8]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[8]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0268-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> = cos<sup>2 <\/sup><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image028113.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[11]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[11]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02811-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a>; \u00aesin2 <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image028122.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image028[12]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image028[12]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02812-thumb1.gif\" width=\"15\" border=\"0\" \/><\/a> = 1\/3; sin2 <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image02692.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image026[9]\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"17\" alt=\"clip_image026[9]\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0269-thumb1.gif\" width=\"16\" border=\"0\" \/><\/a> = 1\/2.<\/p>\n<p>\u041a\u043e\u0441\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u0430\u044f \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u0438\u043c\u0435\u0435\u0442 \u043c\u0435\u0441\u0442\u043e \u0442\u043e\u0433\u0434\u0430, \u043a\u043e\u0433\u0434\u0430 \u043f\u0443\u0447\u043e\u043a \u043b\u0443\u0447\u0435\u0439 \u043d\u0435 ^ \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u044d\u043a\u0440\u0430\u043d\u0430. \u0422\u0430\u043a, \u043f\u0440\u0438 \u043a\u043e\u0441\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u043c \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0438 \u043e\u0440\u0442\u0430 \u043e\u0441\u0438 OZ \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c XOY, \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435: (0 0 1 1) \u00ae (a b 0 1).<\/p>\n<p>\u041c\u0430\u0442\u0440\u0438\u0446\u0430 \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0435\u0433\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f:<\/p>\n<p>(9) [Kz] =<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image03218.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image032\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image032\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image032-thumb17.gif\" width=\"92\" border=\"0\" \/><\/a><\/p>\n<p>\u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0432\u0430 \u0432\u0430\u0440\u0438\u0430\u043d\u0442\u0430 \u043a\u043e\u0441\u043e\u0443\u0433\u043e\u043b\u044c\u043d\u043e\u0433\u043e \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f:<\/p>\n<p>&#8212; \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0435 (\u0443\u0433\u043e\u043b \u043d\u0430\u043a\u043b\u043e\u043d\u0430 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u0443\u044e\u0449\u0438\u0445 \u043b\u0443\u0447\u0435\u0439 \u043a \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u044d\u043a\u0440\u0430\u043d\u0430 \u0440\u0430\u0432\u0435\u043d 45\u00b0);<\/p>\n<p>(10) <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image03416.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image034\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image034\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image034-thumb15.gif\" width=\"85\" border=\"0\" \/><\/a><\/p>\n<p>&#8212; \u043a\u0430\u0431\u0438\u043d\u0435\u0442\u043d\u043e\u0435 (\u0447\u0430\u0441\u0442\u043d\u044b\u0439 \u0441\u043b\u0443\u0447\u0430\u0439 \u0441\u0432\u043e\u0431\u043e\u0434\u043d\u043e\u0433\u043e &#8212; \u043c\u0430\u0441\u0448\u0442\u0430\u0431 \u043f\u043e \u0442\u0440\u0435\u0442\u044c\u0435\u0439 \u043e\u0441\u0438 \u0432\u0434\u0432\u043e\u0435 \u043c\u0435\u043d\u044c\u0448\u0435).<\/p>\n<p>11) <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image03616.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image036\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image036\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image036-thumb16.gif\" width=\"84\" border=\"0\" \/><\/a><\/p>\n<p>\u041f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0435 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0441\u043b\u043e\u0436\u043d\u0435\u0435. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0441\u043b\u0443\u0447\u0430\u0439, \u043a\u043e\u0433\u0434\u0430 \u0446\u0435\u043d\u0442\u0440 \u043f\u0440\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f\u043d\u0430 \u043e\u0441\u0438 OZ \u0432 \u0442\u043e\u0447\u043a\u0435 \u0421(0, 0, \u0441).<\/p>\n<p>\u041f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f &#8212; XOY. \u0412\u043e\u0437\u044c\u043c\u0435\u043c \u043f\u0440\u043e\u0438\u0437\u0432\u043e\u043b\u044c\u043d\u0443\u044e \u0442. \u041c(x, y, z) \u0438 \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u043c \u043f\u0440\u044f\u043c\u0443\u044e \u0421\u041c. \u0421\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0438\u0435 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0443\u0442 \u0432 \u0432\u0438\u0434\u0435:<\/p>\n<p>(12)<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image03815.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image038\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"83\" alt=\"clip_image038\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image038-thumb15.gif\" width=\"117\" border=\"0\" \/><\/a><\/p>\n<p>\u041d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u044f\u043c\u043e\u0439 \u0421\u041c \u0441 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e XOY. \u0418\u0437 (12) \u0438 \u0443\u0441\u043b\u043e\u0432\u0438\u044f Z* = 0 (\u0438\u0441\u043a\u043e\u043c\u0430\u044f \u0442\u043e\u0447\u043a\u0430 \u043f\u0440\u0438\u043d\u0430\u0434\u043b\u0435\u0436\u0438\u0442 XOY) \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c : \u0420\u0438\u0441. 7<\/p>\n<p>(13) <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image04017.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image040\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"45\" alt=\"clip_image040\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image040-thumb14.gif\" width=\"73\" border=\"0\" \/><\/a>;<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image04210.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image042\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"45\" alt=\"clip_image042\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image042-thumb10.gif\" width=\"91\" border=\"0\" \/><\/a>;<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image04417.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image044\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"45\" alt=\"clip_image044\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image044-thumb12.gif\" width=\"91\" border=\"0\" \/><\/a><\/p>\n<p>\u0447\u0442\u043e \u0438 \u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u043d\u0430\u0439\u0442\u0438. \u041a \u044d\u0442\u043e\u043c\u0443 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0443 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u0439\u0442\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0438 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f:<\/p>\n<p>(14) (x y z t)* <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image04612.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image046\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image046\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image046-thumb11.gif\" width=\"112\" border=\"0\" \/><\/a>= (x y 0 1 -1\/c).<\/p>\n<p>\u0417\u0430\u0442\u0435\u043c \u043f\u0435\u0440\u0435\u0445\u043e\u0434\u044f \u043a \u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u044b\u043c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0430\u043c \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c :<\/p>\n<p>(15)<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0487.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image048\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"45\" alt=\"clip_image048\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image048-thumb7.gif\" width=\"133\" border=\"0\" \/><\/a> &#8212; \u0447\u0442\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u0435\u0442 (13).<\/p>\n<p>\u041c\u0430\u0442\u0440\u0438\u0446\u0430 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0432\u044b\u0440\u043e\u0436\u0434\u0435\u043d\u043d\u043e\u0439 (\u0442.\u0435. \u0435\u0435 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u0435\u043b\u044c \u0440\u0430\u0432\u0435\u043d 0).<\/p>\n<p>C\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0443\u044e\u0449\u0430\u044f \u043c\u0430\u0442\u0440\u0438\u0446\u0430 \u043f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0433\u043e \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f (\u0431\u0435\u0437 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f) \u0438\u043c\u0435\u0435\u0442 \u0432\u0438\u0434:<\/p>\n<p>(16) [Q] =<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0507.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image050\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image050\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image050-thumb7.gif\" width=\"112\" border=\"0\" \/><\/a><\/p>\n<p>\u041f\u043e\u043f\u044b\u0442\u0430\u0435\u043c\u0441\u044f \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u044d\u0442\u043e\u0439 \u043c\u0430\u0442\u0440\u0438\u0446\u044b \u0440\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u043f\u0435\u0440\u0441\u043f\u0435\u043a\u0442\u0438\u0432\u043d\u044b\u0435 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0441 \u043f\u0443\u0447\u043a\u043e\u043c \u043f\u0440\u044f\u043c\u044b\u0445, \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u044b\u0445 \u043e\u0434\u043d\u043e\u0439 \u0438\u0437 \u043e\u0441\u0435\u0439. \u041f\u0443\u0441\u0442\u044c \u044d\u0442\u0438 \u043f\u0440\u044f\u043c\u044b\u0435 || \u043e\u0441\u0438 OZ. \u041a\u0430\u0436\u0434\u0430\u044f \u0438\u0437 \u043d\u0438\u0445 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u044f\u0435\u0442\u0441\u044f \u0442\u043e\u0447\u043a\u043e\u0439 (\u0442\u0438\u043f\u0430 \u041c(x, y, 0) \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0441 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e XOY \u0438 \u043e\u043f\u0438\u0441\u044b\u0432\u0430\u0435\u0442\u0441\u044f:<\/p>\n<p>X = x, Y = y, Z = t (t &#8212; \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440 \u0441\u0434\u0432\u0438\u0433\u0430).<\/p>\n<p>\u0427\u0442\u043e\u0431\u044b \u0438\u0437\u0431\u0430\u0432\u0438\u0442\u044c\u0441\u044f \u043e\u0442 \u043d\u0435\u043e\u0434\u043d\u043e\u0440\u043e\u0434\u043d\u043e\u0441\u0442\u0438 \u043f\u043e\u0432\u0435\u0434\u0435\u043c \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f:<\/p>\n<p>(x ,y ,t ,1)*[Q] = (x, y, t,1,-1\/c) | \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u043d\u0430 1- t\/c. \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u043c:<\/p>\n<p><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0528.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image052\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"23\" alt=\"clip_image052\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image052-thumb7.gif\" width=\"12\" border=\"0\" \/><\/a><a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0546.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image054\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"45\" alt=\"clip_image054\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image054-thumb6.gif\" width=\"169\" border=\"0\" \/><\/a><\/p>\n<p>\u041f\u043e\u043f\u044b\u0442\u0430\u0435\u043c\u0441\u044f \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043c\u0435\u0441\u0442\u043e\u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0435 \u0446\u0435\u043d\u0442\u0440\u0430 \u043f\u0443\u0447\u043a\u0430 &#8212; (\u0435\u0433\u043e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b). \u0414\u043b\u044f \u0447\u0435\u0433\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043c \u043f\u0440\u0435\u0434\u0435\u043b \u043a\u0430\u0436\u0434\u043e\u0433\u043e \u0438\u0437 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u043f\u0440\u0438 t \u00ae<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0567.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image056\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"13\" alt=\"clip_image056\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image056-thumb7.gif\" width=\"16\" border=\"0\" \/><\/a> . \u0414\u043b\u044f \u0443\u043f\u0440\u043e\u0449\u0435\u043d\u0438\u044f \u0440\u0435\u0448\u0435\u043d\u0438\u044f \u0437\u0430\u0434\u0430\u0447\u0438 \u0440\u0430\u0437\u0434\u0435\u043b\u0438\u043c \u043a\u0430\u0436\u0434\u0443\u044e \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 \u043d\u0430 t. \u041f\u043e\u043b\u0443\u0447\u0438\u043c: (<a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0587.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image058\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"21\" alt=\"clip_image058\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image058-thumb7.gif\" width=\"89\" border=\"0\" \/><\/a>). \u041e\u0442\u043a\u0443\u0434\u0430 \u0441\u043b\u0435\u0434\u0443\u0435\u0442, \u0447\u0442\u043e \u043f\u0440\u0435\u0434\u0435\u043b \u0431\u0443\u0434\u0435\u0442 (0,0,-\u0441,1). \u0422.\u043e. \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0443\u0434\u0430\u043b\u0435\u043d\u043d\u044b\u0439 (\u043d\u0435\u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0439) \u0446\u0435\u043d\u0442\u0440 (0,0,1,0) \u043f\u0443\u0447\u043a\u0430 \u043f\u0440\u044f\u043c\u044b\u0445 (|| \u043e\u0441\u0438 oZ) \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0442\u043e\u0447\u043a\u0443 (0,0,-\u0441,1), \u043b\u0435\u0436\u0430\u0449\u0443\u044e \u043d\u0430 \u043e\u0441\u0438 OZ. \u0412 \u043e\u0431\u0449\u0435\u0439 \u0444\u043e\u0440\u043c\u0435 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u043d\u0435\u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u0443\u0447\u043a\u0430 \u043f\u0440\u044f\u043c\u044b\u0445 (|| \u0437\u0430\u0434\u0430\u043d\u043d\u043e\u043c\u0443 \u043d\u0430\u043f\u0440\u0430\u0432\u043b\u0435\u043d\u0438\u044e) \u0438 \u043d\u0435 || \u043a\u0430\u0440\u0442\u0438\u043d\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0446\u0435\u043d\u0442\u0440\u0430 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0432 \u0432\u0438\u0434\u0435:<\/p>\n<p>(17) X = x + lt, Y = y + mt, Z = nt, \u0433\u0434\u0435 n ? 0. <\/p>\n<p>\u0414\u043b\u044f \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0433\u043e \u043f\u0443\u0447\u043a\u0430 \u0442\u0440\u0435\u0431\u0443\u0435\u0442\u0441\u044f \u0443\u043c\u043d\u043e\u0436\u0438\u0442\u044c (17) \u043d\u0430 \u043c\u0430\u0442\u0440\u0438\u0446\u0443 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f (16):<\/p>\n<p>(X,Y,Z ,1)*[Q] = (x + lt ,y + mt , nt \u20131,t\/c ). \u041f\u0440\u0438 \u0443\u043c\u043d\u043e\u0436\u0435\u043d\u0438\u0438 \u043d\u0430 \u2013c\/t \u043f\u043e\u043b\u0443\u0447\u0438\u043c:<\/p>\n<p>(18) \u0426\u0435\u043d\u0442\u0440 \u043f\u0443\u0447\u043a\u0430 &#8212; \u0442 \u043e \u0447 \u043a \u043e \u0439 \u0441 \u0445 \u043e \u0434 \u0430.<\/p>\n<p>\u0414\u043b\u044f \u043f\u0440\u044f\u043c\u044b\u0445 || \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u043d\u044b\u043c \u043e\u0441\u044f\u043c \u0432\u044b\u0434\u0435\u043b\u044f\u044e\u0442 3 \u0433\u043b\u0430\u0432\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438 \u0441\u0445\u043e\u0434\u0430. \u041c\u0430\u0442\u0440\u0438\u0446\u0430 \u043f\u0440\u0435\u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u0442\u0430\u043a:<\/p>\n<p>(19) <a href=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image0604.gif\"><img loading=\"lazy\" decoding=\"async\" title=\"clip_image060\" style=\"border-right: 0px; border-top: 0px; display: inline; border-left: 0px; border-bottom: 0px\" height=\"96\" alt=\"clip_image060\" src=\"http:\/\/studentpmr.ru\/wp-content\/uploads\/2009\/04\/clip-image060-thumb4.gif\" width=\"113\" border=\"0\" \/><\/a><\/p>\n<p>\u041f\u0443\u0447\u043e\u043a \u043f\u0440\u044f\u043c\u044b\u0445 || \u043e\u0441\u0438 oX \u0431\u0443\u0434\u0435\u0442: (1,0,0,0); || \u043e\u0441\u0438 oY \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u0432 \u0432\u0438\u0434\u0435: (0,1,0,0); \u0438 || \u043e\u0441\u0438 oZ :(0,0,0,1) c\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e.<\/p>\n<p>\u0437\u0434\u0435\u0441\u044c a, b, c &#8212; \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u044b \u0433\u043b\u0430\u0432\u043d\u044b\u0445 \u0442\u043e\u0447\u0435\u043a \u0441\u0445\u043e\u0434\u0430. \u0418\u0437 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044f (19) \u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0441\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u044b\u0435 \u043f\u0443\u0447\u043a\u0438 \u043f\u0440\u044f\u043c\u044b\u0445 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u044b \u0432 \u043c\u0430\u0442\u0440\u0438\u0447\u043d\u043e\u043c \u0432\u0438\u0434\u0435 \u0442\u0430\u043a:<\/p>\n<p>(1,0,0,-1\/\u0430);(0,1,0,-1\/b) \u0438 (0,0,1,-1\/\u0441).<\/p>\n<p>\u0418\u043b\u0438:<\/p>\n<p>(20)(-\u0430,0,0,1);(0,-b,0,1);(0, 0,-c,1).<\/p>\n<p><u>\u0412 \u044b \u0432 \u043e \u0434:<\/u> \u0437\u043d\u0430\u044f \u0441\u043f\u043e\u0441\u043e\u0431\u044b \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u0439 \u0438 \u043e\u0441\u043e\u0431\u0435\u043d\u043d\u043e\u0441\u0442\u0438 \u043f\u0440\u0438\u043c\u0435\u043d\u0435\u043d\u0438\u044f \u0442\u0435\u0445 \u0438\u043b\u0438 \u0438\u043d\u044b\u0445 \u0432\u0438\u0434\u043e\u0432 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u043e\u0432\u0435\u0441\u0442\u0438 \u0430\u043d\u0430\u043b\u0438\u0437 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0439 \u043c\u043e\u0434\u0435\u043b\u0438 (\u043e\u043f\u0438\u0441\u0430\u0442\u044c \u0435\u0435 \u0432\u0435\u0440\u0448\u0438\u043d\u044b, \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0440\u0430\u043a\u0443\u0440\u0441 \u043e\u0431\u0437\u043e\u0440\u0430 \u0438 \u043f\u0440.).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041b\u044e\u0431\u043e\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u0438 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u043f\u0443\u0442\u0435\u043c \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043f\u0443\u0447\u043a\u0430 \u043f\u0440\u044f\u043c\u044b\u0445. \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u043e \u0441\u043f\u043e\u0441\u043e\u0431\u043e\u0432 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f. \u041d\u0430\u0438\u0431\u043e\u043b\u0435\u0435 \u0443\u043f\u043e\u0442\u0440\u0435\u0431\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043d\u0430 \u043f\u0440\u0430\u043a\u0442\u0438\u043a\u0435: \u043f\u0430\u0440\u0430\u043b\u043b\u0435\u043b\u044c\u043d\u043e\u0435 \u0438 \u0446\u0435\u043d\u0442\u0440\u0430\u043b\u044c\u043d\u043e\u0435. \u041f\u0440\u0438\u043d\u0446\u0438\u043f \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u0438\u044f \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0437\u0430\u043a\u043b\u044e\u0447\u0430\u0435\u0442\u0441\u044f \u0432 \u043d\u0430\u0445\u043e\u0436\u0434\u0435\u043d\u0438\u0438 \u0442\u043e\u0447\u0435\u043a \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u043f\u0440\u043e\u0445\u043e\u0434\u044f\u0449\u0438\u0445 \u0447\u0435\u0440\u0435\u0437 \u043e\u0431\u044a\u0435\u043a\u0442 \u043b\u0443\u0447\u0435\u0439 ( \u0438\u0445 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442) \u0441 \u043f\u0440\u043e\u0435\u043a\u0442\u0438\u0432\u043d\u043e\u0439 \u043f\u043b\u043e\u0441\u043a\u043e\u0441\u0442\u044c\u044e.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"_links":{"self":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts\/8066"}],"collection":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8066"}],"version-history":[{"count":0,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=\/wp\/v2\/posts\/8066\/revisions"}],"wp:attachment":[{"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/studentpmr.ru\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}