ÌâÄ¿ÄÚÈÝ
24¡¢Èçͼ£¬ÒÑÖª¡÷ABCÊǵÈÑüÖ±½ÇÈý½ÇÐΣ¬¡ÏC=90¶È£®
£¨1£©²Ù×÷²¢¹Û²ì£¬Èçͼ£¬½«Èý½Ç°åµÄ45¡ã½ÇµÄ¶¥µãÓëµãCÖغϣ¬Ê¹Õâ¸ö½ÇÂäÔÚ¡ÏACBµÄÄÚ²¿£¬Á½±ß·Ö±ðÓëб±ßAB½»ÓÚE¡¢FÁ½µã£¬È»ºó½«Õâ¸ö½ÇÈÆ×ŵãCÔÚ¡ÏACBµÄÄÚ²¿Ðýת£¬¹Û²ìÔÚµãE¡¢FµÄλÖ÷¢Éú±ä»¯Ê±£¬AE¡¢EF¡¢FBÖÐ×Ï߶ÎÊÇ·ñʼÖÕÊÇEF£¿Ð´³ö¹Û²ì½á¹û£®
£¨2£©Ì½Ë÷£ºAE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ·ñ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ¿Èç¹ûÄÜ£¬ÊÔ¼ÓÒÔÖ¤Ã÷£®
£¨1£©²Ù×÷²¢¹Û²ì£¬Èçͼ£¬½«Èý½Ç°åµÄ45¡ã½ÇµÄ¶¥µãÓëµãCÖغϣ¬Ê¹Õâ¸ö½ÇÂäÔÚ¡ÏACBµÄÄÚ²¿£¬Á½±ß·Ö±ðÓëб±ßAB½»ÓÚE¡¢FÁ½µã£¬È»ºó½«Õâ¸ö½ÇÈÆ×ŵãCÔÚ¡ÏACBµÄÄÚ²¿Ðýת£¬¹Û²ìÔÚµãE¡¢FµÄλÖ÷¢Éú±ä»¯Ê±£¬AE¡¢EF¡¢FBÖÐ×Ï߶ÎÊÇ·ñʼÖÕÊÇEF£¿Ð´³ö¹Û²ì½á¹û£®
£¨2£©Ì½Ë÷£ºAE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ·ñ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ¿Èç¹ûÄÜ£¬ÊÔ¼ÓÒÔÖ¤Ã÷£®
·ÖÎö£º£¨1£©ÔÚEµã£¬FµãµÄλÖ÷¢Éú±ä»¯Ê±£¬AE£¬EF£¬FBÖÐ×Ï߶ÏʼÖÕÊÇEF£»
£¨2£©Èçͼ£¬¡÷ACEÈÆCÐýת90¶Èµ½¡÷CBMµÄλÖã¬Á¬½ÓFM£®¸ù¾Ý×÷·¨ÖªµÀ¡÷ACE¡Õ¡÷BCM£¬È»ºó¸ù¾ÝÈ«µÈÈý½ÇÐεÄÐÔÖÊ¿ÉÒԵõ½CE=CM£¬¡ÏACE=¡ÏBCM£¬¡ÏA=¡ÏCBM=45¡ã£¬AE=BM£¬ÔÙ¸ù¾ÝÒÑÖª¡ÏACB=90¡ã£¬¡ÏECF=45¡ã£¬¿ÉÒÔÖ¤Ã÷¡÷ECF¡Õ¡÷MCF£¬È»ºóÀûÓÃÈ«µÈÈý½ÇÐεÄÐÔÖʾͿÉÒÔÖ¤Ã÷¡÷BMFÊÇÖ±½ÇÈý½ÇÐΣ¬´Ó¶øÖ¤Ã÷ÌâÄ¿µÄ½áÂÛ£®
£¨2£©Èçͼ£¬¡÷ACEÈÆCÐýת90¶Èµ½¡÷CBMµÄλÖã¬Á¬½ÓFM£®¸ù¾Ý×÷·¨ÖªµÀ¡÷ACE¡Õ¡÷BCM£¬È»ºó¸ù¾ÝÈ«µÈÈý½ÇÐεÄÐÔÖÊ¿ÉÒԵõ½CE=CM£¬¡ÏACE=¡ÏBCM£¬¡ÏA=¡ÏCBM=45¡ã£¬AE=BM£¬ÔÙ¸ù¾ÝÒÑÖª¡ÏACB=90¡ã£¬¡ÏECF=45¡ã£¬¿ÉÒÔÖ¤Ã÷¡÷ECF¡Õ¡÷MCF£¬È»ºóÀûÓÃÈ«µÈÈý½ÇÐεÄÐÔÖʾͿÉÒÔÖ¤Ã÷¡÷BMFÊÇÖ±½ÇÈý½ÇÐΣ¬´Ó¶øÖ¤Ã÷ÌâÄ¿µÄ½áÂÛ£®
½â´ð£º½â£º£¨1£©¹Û²ì½á¹ûÊÇ£ºµ±45¡ã½ÇµÄ¶¥µãÓëµãCÖغϣ¬²¢½«Õâ¸ö½ÇÈÆ×ŵãCÔÚÖغϣ¬²¢½«Õâ¸ö½ÇÈÆ×ŵãCÔÚ¡ÏACBÄÚ²¿Ðýתʱ£¬AE¡¢EF¡¢FBÖÐ×Ï߶ÎʼÖÕÊÇEF£®£¨3·Ö£©
£¨2£©AE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ®£¨4·Ö£©
Ö¤Ã÷ÈçÏ£º
ÔÚ¡ÏECFµÄÄÚ²¿×÷¡ÏECG=¡ÏACE£¬Ê¹CG=CA£¬Á¬½ÓEG¡¢FG£¨5·Ö£©
ÓÖ¡ßCE=CE
Ôò¡÷ACE¡Õ¡÷GCE£¨SAS£©£¬
¡à¡Ï1=¡ÏA£¨8·Ö£©
ͬÀí£º¡÷CGF¡Õ¡÷CBF£¬¡à¡Ï2=¡ÏB£¨9·Ö£©
¡ß¡ÏACB=90¡ã
¡à¡ÏA+¡ÏB=90¡ã
¡à¡Ï1+¡Ï2=90¡ã£¨10·Ö£©
¡à¡ÏEGF=90¡ã£¨11·Ö£©
¡àAE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ®£¨12·Ö£©
£¨2£©AE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ®£¨4·Ö£©
Ö¤Ã÷ÈçÏ£º
ÔÚ¡ÏECFµÄÄÚ²¿×÷¡ÏECG=¡ÏACE£¬Ê¹CG=CA£¬Á¬½ÓEG¡¢FG£¨5·Ö£©
ÓÖ¡ßCE=CE
Ôò¡÷ACE¡Õ¡÷GCE£¨SAS£©£¬
¡à¡Ï1=¡ÏA£¨8·Ö£©
ͬÀí£º¡÷CGF¡Õ¡÷CBF£¬¡à¡Ï2=¡ÏB£¨9·Ö£©
¡ß¡ÏACB=90¡ã
¡à¡ÏA+¡ÏB=90¡ã
¡à¡Ï1+¡Ï2=90¡ã£¨10·Ö£©
¡à¡ÏEGF=90¡ã£¨11·Ö£©
¡àAE¡¢EF¡¢FBÕâÈýÌõÏ߶ÎÄÜ×é³ÉÒÔEFΪб±ßµÄÖ±½ÇÈý½ÇÐΣ®£¨12·Ö£©
µãÆÀ£º´ËÌâÊÇ¿ª·ÅÐÔÊÔÌ⣬ÀûÓõÈÑüÖ±½ÇÈý½ÇÐεÄÐÔÖÊÀ´Ì½¾¿Í¼Ðα任µÄ¹æÂÉ£¬×îºóÀûÓÃÐýת·¨Ö¤Ã÷̽¾¿µÄ¹æÂÉ£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿