Question

³£ÓõķֽâÒòʽµÄ·½·¨ÓÐÌáÈ¡¹«Òòʽ·¨¡¢¹«Ê½·¨¼°µ½Á˸ßÖл¹ÒªÑ§Ï°µÄÊ®×ÖÏà³Ë·¨£¬µ«Óиü¶àµÄ¶àÏîʽֻÓÃÉÏÊö·½·¨¾ÍÎÞ·¨·Ö½â£¬x²-4y²-2x+4y£¬ÎÒÃÇϸÐĹ۲ìÕâ¸öʽ×ӾͻᷢÏÖ£¬Ç°Á½Ïî·ûºÏƽ·½²î¹«Ê½£¬ºóÁ½Ïî¿ÉÌáÈ¡¹«Òòʽ£¬Ç°ºóÁ½²¿·Ö·Ö±ð·Ö½âÒòʽºó»á²úÉú¹«Òòʽ£¬È»ºóÌáÈ¡¹«Òòʽ¾Í¿ÉÒÔÍê³ÉÕû¸öʽ×ӵķֽâÒòʽÁË£®¹ý³ÌΪ£ºx²-4y²-2x+4y=£¨x+2y£©£¨x-2y£©-2£¨x-2y£©=£¨x-2y£©£¨x+2y-2£©ÕâÖÖ·Ö½âÒòʽµÄ·½·¨½Ð·Ö×é·Ö½â·¨£®ÀûÓÃÕâÖÖ·½·¨½â¾öÏÂÁÐÎÊÌ⣺
£¨1£©·Ö½âÒòʽ£ºa²-4a-b²+4£»
£¨2£©¡÷ABCÈý±ßa£¬b£¬cÂú×ãa²-ab-ac+bc=0£¬Åжϡ÷ABCµÄÐÎ×´£®

Answer 1

¿¼µã£ºÒòʽ·Ö½âµÄÓ¦ÓÃ,Òòʽ·Ö½â-·Ö×é·Ö½â·¨

רÌ⣺ÔĶÁÐÍ

·ÖÎö£º£¨1£©Ê×ÏȽ«a²-4a+4ÈýÏî×éºÏ£¬ÀûÓÃÍêȫƽ·½¹«Ê½·Ö½âÒòʽ£¬½ø¶øÀûÓÃƽ·½²î¹«Ê½·Ö½âÒòʽµÃ³ö¼´¿É£»
£¨2£©Ê×ÏȽ«Ç°Á½ÏîÒÔ¼°ºóÁ½Ïî×éºÏ£¬½ø¶øÌáÈ¡¹«Òòʽ·¨·Ö½âÒòʽ£¬¼´¿ÉµÃ³öa£¬b£¬cµÄ¹Øϵ£¬ÅжÏÈý½ÇÐÎÐÎ×´¼´¿É£®

½â´ð£º½â£º£¨1£©a²-4a-b²+4
=a²-4a+4-b²
=£¨a-2£©²-b²
=£¨a+b-2£©£¨a-b-2£©£»
£¨2£©a²-ab-ac+bc=0£¬
¡àa²-ab-£¨ac-bc£©=0£¬
¡àa£¨a-b£©-c£¨a-b£©=0£¬
¡à£¨a-b£©£¨a-c£©=0£¬
¡àa-b=0£¬»òÕßa-c=0£¬
¼´£ºa=b£¬»òÕßa=c
¡à¡÷ABCÊǵÈÑüÈý½ÇÐΣ®

µãÆÀ£º´ËÌâÖ÷Òª¿¼²éÁË·Ö×é·Ö½â·¨·Ö½âÒòʽÒÔ¼°µÈÑüÈý½ÇÐεÄÅж¨£¬ÕýÈ··Ö×é·Ö½âµÃ³öÊǽâÌâ¹Ø¼ü£®