ÔĶÁÏÂÁз¶Àý£¬°´ÒªÇó½â´ðÎÊÌ⣮
Àý£ºÒÑ֪ʵÊýa¡¢b¡¢cÂú×ãa+b+2c=1£¬a
2+b
2+6c+
=0£¬Çóa¡¢b¡¢cµÄÖµ£®
½â·¨1£ºÓÉÒÑÖªµÃa+b=1-2c£¬¢Ù£¨a+b£©
2-2ab+6c+
=0£®¢Ú
½«¢Ù´úÈë¢Ú£¬ÕûÀíµÃ4c
2+2c-2ab+
=0£®¡àab=2c
2+c+
¢Û
ÓÉ¢Ù¡¢¢Û¿ÉÖª£¬a¡¢bÊǹØÓÚtµÄ·½³Ìt
2-£¨1-2c£©t+2c
2+c+
=0¢ÜµÄÁ½¸öʵÊý¸ù£®
¡à¡÷=£¨1-2c£©
2-4£¨2c
2+c+
¡Ý0£¬¼´£¨c+1£©
2¡Ü0£®¶ø£¨c+1£©
2¡Ý0£¬¡àc+l=0£¬c=-1£¬
½«c=-1´úÈë¢Ü£¬µÃt
2-3t+
=0£®¡àt
1=t
2=
£¬¼´a=b=
£®¡àa=b£¬c=-1£®
½â·¨2¡ßa+b+2c=1£¬¡àa+b=1-2c¡¢Éèa=
+t£¬b=
-t£®¢Ù
¡ßa
2+b
2+6c+
=0£¬¡à£¨a+b£©
2-2ab+6c+
=0£®¢Ú
½«¢Ù´úÈë¢Ú£¬µÃ£¨1-2c£©
2-2
(+t)(-t)+6c+
=0£®
ÕûÀí£¬µÃt
2+£¨c
2+2c+1£©=0£¬¼´t
2+£¨c+1£©
2=0£®¡àt=0£¬c=-1£®
½«t¡¢cµÄֵͬʱ´úÈë¢Ù£¬µÃa=
£¬b=
£®a=b=
£¬c=-1£®
ÒÔÉϽⷨ1Êǹ¹ÔìÒ»Ôª¶þ´Î·½³Ì½â¾öÎÊÌ⣮ÈôÁ½ÊµÊýx¡¢yÂú×ãx+y=m£¬xy=n£¬Ôòx¡¢yÊǹØÓÚtµÄÒ»Ôª¶þ´Î·½³Ìt
2-mt+n=0µÄÁ½¸öʵÊý¸ù£¬È»ºóÀûÓÃÅбðʽÇó½â£®
ÒÔÉϽⷨ2ÊDzÉÓþùÖµ»»Ôª½â¾öÎÊÌ⣮ÈôʵÊýx¡¢yÂú×ãx+y=m£¬Ôò¿ÉÉèx=
+t£¬y=
-t£®Ò»Ð©ÎÊÌâ¸ù¾ÝÌõ¼þ£¬ÈôºÏÀíÔËÓÃÕâÖÖ»»Ôª¼¼ÇÉ£¬ÔòÄÜʹÎÊÌâ˳Àû½â¾ö£®
ÏÂÃæ¸ø³öÁ½¸öÎÊÌ⣬½â´ðÆäÖÐÈÎÒâÒ»Ì⣺
£¨1£©ÓÃÁíÒ»ÖÖ·½·¨½â´ð·¶ÀýÖеÄÎÊÌ⣮
£¨2£©Ñ¡Ó÷¶ÀýÖеÄÒ»ÖÖ·½·¨½â´ðÏÂÁÐÎÊÌ⣺
ÒÑ֪ʵÊýa¡¢b¡¢cÂú×ãa+b+c=6£¬a
2+b
2+c
2=12£¬ÇóÖ¤£ºa=b=c£®