½â£¨1£©

£»0¡Üx¡Ü1£®
£¨2£©¢Ù¡ß

£®
¡ß2x-£¨x+1£©=x-1£®
µ±x¡Ý1ʱ£¬Ôòmin{2£¬x+1£¬2x}=2£¬Ôòx+1=2£¬¡àx=1£®
µ±x£¼1ʱ£¬Ôòmin{2£¬x+1£¬2x}=2x£¬Ôòx+1=2x£¬¡àx=1£¨ÉáÈ¥£©
×ÛÉÏËùÊö£ºx=1£®
¢Úa=b=c£®ÀíÓÉÈçÏ£º
¡ß

£¬
Èç¹ûmin{a£¬b£¬c}=c£¬Ôòa¡Ýc£¬b¡Ýc£®
ÔòÓÐ

£¬¼´a+b-2c=0£®
¡à£¨a-c£©+£¨b-c£©=0£®
ÓÖa-c¡Ý0£¬b-c¡Ý0£¬¡àa-c=0£¬ÇÒb-c=0£®
¡àa=b=c£®
ÆäËûÇé¿öͬÀí¿ÉÖ¤£¬¹Êa=b=c£®
¢Û¸ù¾ÝÌâÒâµÃ£º

£¬
½âµÃ£º

Ôòx+y=-3-1=-4£®
£¨3£©×÷³öͼÏó£¨ÈçͼËùʾ£©£¬ÓÉͼÏóÖªmin{4x+1£¬x+2£¬-2x+4}µÄ×î´óֵΪ

£®

·ÖÎö£º£¨1£©

¾ÍÊÇÀ¨ºÅÄÚµÄÈý¸öÊýÖеÄ×îСµÄÒ»¸ö£¬¾Ý´Ë¼´¿ÉÈ·¶¨£»
min{2£¬2x+2£¬4-2x}=2£¬Ôò2x+2¡Ý2£¬ÇÒ4-2x¡Ý2£¬Á½¸öʽ×Óͬʱ³ÉÁ¢£¬¾Ý´Ë¼´¿ÉÇóµÃxµÄ·¶Î§£»
£¨2£©¢ÙM{2£¬x+1£¬2x}=

=x+1£¬ÈôM{2£¬x+1£¬2x}=min{2£¬x+1£¬2x}£¬Ôòx+1ÊÇ2¡¢x+1¡¢2xÖÐ×îСµÄÒ»¸ö£¬¼´£ºx+1¡Ü2ÇÒx+1¡Ü2x£¬¾Ý´Ë¼´¿ÉÇóµÃxµÄÖµ£»
¢Ú¸ù¾Ý¢Ù¿ÉÒԵõ½½áÂÛ£ºµ±Èý¸öÊýµÄƽ¾ùÊýµÈÓÚÈý¸öÊýÖеÄ×îСµÄÊý£¬ÔòÕ⼸¸öÊýÏàµÈ£¬¾Ý´Ë¼´¿Éд³ö£»
¢Û¸ù¾Ý½áÂÛ£¬Èý¸öÊýÏàµÈ£¬¼´¿ÉÇóµÃx£¬yµÄÖµ£¬´Ó¶øÇóµÃx+yµÄÖµ£»
£¨3£©Ê×ÏÈ×÷³öÈý¸öº¯ÊýµÄͼÏó£¬min{4x+1£¬x+2£¬-2x+4}µÄ×î´óֵΪÈý¸öº¯ÊýµÄͼÏóµÄ½»µãÖУ¬ºá×ø±ê×î´óµÄµãµÄ×Ý×ø±ê¾ÍÊÇËùÇóµÄÖµ£®
µãÆÀ£º±¾ÌâÊÇÒ»´Îº¯ÊýÓëƽ¾ùÊý£¬×îСֵº¯ÊýÏà½áºÏµÄÌâÄ¿£¬ÕýÈ·Àí½â£¨1£©Öеõ½µÄ½áÂÛÊǹؼü£®