×ÔÖ÷ѧϰ£ºÔÚÍê³É×÷ҵǰ£¬£¬£¬£¬£¬£¬£¬£¬ÏÈʵÑé×Ô¼º½â¾ö¡£¡£¡£¡£¡£¡£¡£µ±Óöµ½ÄÑÌâʱ£¬£¬£¬£¬£¬£¬£¬£¬Éó²éÕÅÍñÓ¨µÄ½â´ð£¬£¬£¬£¬£¬£¬£¬£¬Ã÷È·Æä˼Ð÷ºÍÒªÁì¡£¡£¡£¡£¡£¡£¡£ÎÂϰ×ܽ᣺ÌìÌ컨һ׼ʱ¼äÎÂϰ֮ǰµÄ×÷ҵϢÕù´ð£¬£¬£¬£¬£¬£¬£¬£¬×᳣ܽ¼ûÎÊÌâÏ¢ÕùÌâÒªÁì¡£¡£¡£¡£¡£¡£¡£ÌáÎÊ»¥¶¯£ºÈôÊÇÔÚѧϰÀú³ÌÖÐÓв»Ã÷È·µÄµØ·½£¬£¬£¬£¬£¬£¬£¬£¬¿ÉÒÔͨ¹ýuuæäÕ¾µÄƽ̨ÓëÕÅÍñÓ¨¾ÙÐÐÔÚÏß»¥¶¯£¬£¬£¬£¬£¬£¬£¬£¬»ñµÃרҵµÄÖ¸µ¼¡£¡£¡£¡£¡£¡£¡£
Êî¼ÙÊÇÒ»¸ö³äÂúʱ»úºÍÌôÕ½µÄʱÆÚ£¬£¬£¬£¬£¬£¬£¬£¬ÕÅÍñÓ¨µÄuuæäÕ¾Êî¼Ù×÷ÒµÃÕµ×½«³ÉΪÄã×îºÃµÄ?ѧϰ»ï°é£¬£¬£¬£¬£¬£¬£¬£¬×ÊÖúÄãÀë±ð¡°×¥Ï¹¡±£¬£¬£¬£¬£¬£¬£¬£¬½âËøÊîÆÚ³¬ÄÜÁ¦£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÄãÔÚѧϰÉÏÁ÷ͨÎÞ×裡
ÕÅÍñÓ¨µÄÊî¼Ù×÷ÒµÃյײ»µ«½öÊǽâ¾öµ±ÏµÄÎÊÌ⣬£¬£¬£¬£¬£¬£¬£¬¸üÖ÷ÒªµÄÊÇ×ÊÖúÄãÔÚÊîÆÚÄÚ´òϼáʵµÄ»ù´¡£¬£¬£¬£¬£¬£¬£¬£¬×÷ÓýÄãµÄѧϰϰ¹ßºÍÄÜÁ¦¡£¡£¡£¡£¡£¡£¡£ËýΪÿһ¸öѧÉúÖÆ¶©ÁË¿ÆÑ§µÄѧϰÍýÏ룬£¬£¬£¬£¬£¬£¬£¬·Ö½×¶Î¡¢·Ö¿ÆÄ¿µÄ°²ÅÅÈÃÄãÔÚÿһ¸ö½×¶Î¶¼ÄÜÓÐÓÃǰ½ø¡£¡£¡£¡£¡£¡£¡£
ÔÚÊî¼Ùʱ´ú£¬£¬£¬£¬£¬£¬£¬£¬ÕÅÍñÓ¨ÌØÊâÍÆ³öÁËһϵÁеġ°ÊîÆÚ³¬ÄÜÁ¦¡±¿Î³Ì¡£¡£¡£¡£¡£¡£¡£ÕâЩ¿Î³Ìº¸ÇÁËʱ¼ä¹ÜÀí¡¢×¨×¢Á¦ÑµÁ·¡¢Ñ§Ï°Ð§ÂÊÌáÉýµÈ¶à·½ÃæÄÚÈÝ£¬£¬£¬£¬£¬£¬£¬£¬Í¨¹ýϵͳµÄѵÁ·£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÄãÔÚ¶Ìʱ¼äÄÚÕÆÎÕѧϰÊÖÒÕ£¬£¬£¬£¬£¬£¬£¬£¬ÕæÕý×öµ½¡°Ñ§ÎÞËù²»¿É¡±¡£¡£¡£¡£¡£¡£¡£
ѧÉú¿ÉÒÔʹÓá°uuæäÕ¾ÕÅÍñÓ¨Êî¼Ù×÷ÒµÃյס±ÖеÄ×ÊÔ´£¬£¬£¬£¬£¬£¬£¬£¬Í¨¹ý²Î¿¼ÓëÆÊÎö£¬£¬£¬£¬£¬£¬£¬£¬Ïàʶ²î±ðÌâÐ͵ĽâÌâ˼Ð÷ºÍÒªÁì¡£¡£¡£¡£¡£¡£¡£Ñ§Éú»¹¿ÉÒÔ½è¼øÕÅÍñÓ¨µÄѧϰսÂÔ£¬£¬£¬£¬£¬£¬£¬£¬½«ÆäÈÚÈë×Ô¼ºµÄѧϰÖУ¬£¬£¬£¬£¬£¬£¬£¬ÌáÉý×ÔÐÅÐĺÍѧϰЧ¹û¡£¡£¡£¡£¡£¡£¡£
ͨ¹ýÒÔÉÏÒªÁ죬£¬£¬£¬£¬£¬£¬£¬Ñ§Éú¿ÉÒÔ¸üºÃµØÓ¦ÓÃÕÅÍñÓ¨µÄ?×÷ÒµÃյ׺ÍѧϰսÂÔ£¬£¬£¬£¬£¬£¬£¬£¬Ìá¸ßѧϰЧÂʺÍѧϰЧ¹û£¬£¬£¬£¬£¬£¬£¬£¬ÂõÏòѧÊõÀÖ³É֮·¡£¡£¡£¡£¡£¡£¡£×£Ô¸Ã¿Ò»Î»Ñ§ÉúÔÚÊî¼ÙµÄѧϰÖж¼ÄÜÊÕ»ñÂúÂú£¬£¬£¬£¬£¬£¬£¬£¬È¡µÃÓÅÒìµÄ?Ч¹û£¡
ΪÁËÈÃÄã¸üºÃµØÏàʶÕÅÍñÓ¨µÄÖ¸µ¼Ð§¹û£¬£¬£¬£¬£¬£¬£¬£¬ÎÒÃÇÌØÊâÕûÀíÁËһЩѧÉúµÄ³É?¹¦°¸Àý¡£¡£¡£¡£¡£¡£¡£Ð¡Ã÷£¬£¬£¬£¬£¬£¬£¬£¬³õ?ÖÐÈýÄ꼶ѧÉú£¬£¬£¬£¬£¬£¬£¬£¬ÓÉÓÚѧϰѹÁ¦´ó£¬£¬£¬£¬£¬£¬£¬£¬ÔÚÊî¼Ù×÷ÒµÖо³£¡°×¥Ï¹¡±¡£¡£¡£¡£¡£¡£¡£ÔÚÕÅÍñÓ¨µÄÖ¸µ¼Ï£¬£¬£¬£¬£¬£¬£¬£¬Ð¡Ã÷²»µ«ÀÖ³ÉÍê³ÉÁËÊî¼Ù×÷Òµ£¬£¬£¬£¬£¬£¬£¬£¬»¹Ô°¢ÚÄ©¿¼ÊÔÖÐÈ¡µÃÁËÈ«°àµÚÒ»µÄ?Ч¹û¡£¡£¡£¡£¡£¡£¡£
Сºì£¬£¬£¬£¬£¬£¬£¬£¬¸ßÖжþÄ꼶ѧÉú£¬£¬£¬£¬£¬£¬£¬£¬ÊýѧЧ¹ûÒ»Ö±²»²ÇÏë¡£¡£¡£¡£¡£¡£¡£ÔÚ¼ÓÈëÁËÕÅÍñÓ¨µÄÊîÆÚ³¬ÄÜÁ¦¿Î³Ìºó£¬£¬£¬£¬£¬£¬£¬£¬ËýµÄÊýѧЧ¹û´ÓƽƽÉýÖÁÓÅÒ죬£¬£¬£¬£¬£¬£¬£¬²»µ«Ñ§Ï°Ð§ÂÊÌá¸ßÁË£¬£¬£¬£¬£¬£¬£¬£¬×ÔÐÅÐÄÒ²ËæÖ®ÔöÇ¿¡£¡£¡£¡£¡£¡£¡£
ÕâЩÀֳɰ¸Àý֤ʵÎúÕÅÍñÓ¨µÄÖ¸µ¼ÒªÁìºÍÊî¼Ù×÷ÒµÃÕµ×µÄʵЧÐÔ£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÎÒÃÇÔ½·¢ÓÐÐÅÐĵØÃæÁÙÊî¼ÙѧϰʹÃü¡£¡£¡£¡£¡£¡£¡£
ÕÅÍñÓ¨µÄÊî¼Ù×÷ÒµÃÕµ×ÒѾ×ÊÖúÁËÎÞÊýѧÉú£¬£¬£¬£¬£¬£¬£¬£¬È¡µÃÁËÁîÈËÖõÄ¿µÄЧ¹û¡£¡£¡£¡£¡£¡£¡£ÕâЩÀֳɹÊʲ»µ«Ö¤ÊµÎúÕÅÍñÓ¨µÄÖ¸µ¼Ð§¹û£¬£¬£¬£¬£¬£¬£¬£¬Ò²¼¤Àø×Ÿü¶àµÄѧÉú¼ÓÈëѧϰÐÐÁС£¡£¡£¡£¡£¡£¡£
ÀýÈ磬£¬£¬£¬£¬£¬£¬£¬Ð¡»ª£¬£¬£¬£¬£¬£¬£¬£¬³õÖÐÈýÄ꼶ѧÉú£¬£¬£¬£¬£¬£¬£¬£¬Í¨¹ýÕÅÍñÓ¨µÄÊî¼Ù×÷ÒµÃյ׺ÍÖ¸µ¼£¬£¬£¬£¬£¬£¬£¬£¬´ÓÒ»¸öͨË×µÄѧÉúÄð³É?Á˰༶µÄÓÅÒìѧ×Ó£¬£¬£¬£¬£¬£¬£¬£¬Ð§¹û´ÓÖеÈÌáÉýµ½ÁËÈ«°àǰÏß¡£¡£¡£¡£¡£¡£¡£
ÕâЩÀֳɰ¸ÀýչʾÁËÕÅÍñÓ¨µÄÖ¸µ¼ÒªÁìµÄʵЧÐÔ£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÎÒÃÇÔ½·¢ÓÐÐÅÐĵØÃæÁÙÊî¼ÙѧϰʹÃü¡£¡£¡£¡£¡£¡£¡£
ÔÚÕâ¸ö³äÂúÌôÕ½µÄÊî¼Ù£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÎÒÃÇÒ»ÆðÀë±ð¡°×¥Ï¹¡±£¬£¬£¬£¬£¬£¬£¬£¬½âËøÊîÆÚ³¬?ÄÜÁ¦£¡ÕÅÍñÓ¨µÄuuæäÕ¾Êî¼Ù×÷ÒµÃÕµ×£¬£¬£¬£¬£¬£¬£¬£¬½«³ÉΪÄãѧϰµÄ×î¼Ñ»ï°é£¬£¬£¬£¬£¬£¬£¬£¬×ÊÖúÄãÔÚѧϰÉÏÈ¡µÃÍ»ÆÆ£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÊî¼Ù³ÉΪÄãÉú³¤µÄ×î¼ÑʱÆÚ£¡
ÕÅÍñӨΪÿһ¸öѧÉúÖÆ¶©ÁËÏêϸµÄÊîÆÚѧϰÍýÏë¡£¡£¡£¡£¡£¡£¡£Õâ¸öÍýÏë²»µ«°üÀ¨ÌìÌìµÄѧϰʹÃü£¬£¬£¬£¬£¬£¬£¬£¬»¹º¸ÇÁËÐÝÏ¢ºÍµ÷½âµÄʱ¼ä¡£¡£¡£¡£¡£¡£¡£Í¨¹ý¿ÆÑ§µÄÍýÏ룬£¬£¬£¬£¬£¬£¬£¬Äã¿ÉÒÔÔÚÊî¼ÙÄÚ¸ßЧµØÍê³É´ó×ÚѧϰʹÃü£¬£¬£¬£¬£¬£¬£¬£¬Í¬Ê±±Ü?ÃâÆ£ÀÍ¡£¡£¡£¡£¡£¡£¡£
ÔÚÕÅÍñÓ¨µÄÖ¸µ¼Ï£¬£¬£¬£¬£¬£¬£¬£¬Ä㽫ѧ»áÔõÑùºÏÀí°²ÅÅʱ¼ä£¬£¬£¬£¬£¬£¬£¬£¬Ìá¸ßѧϰЧÂÊ¡£¡£¡£¡£¡£¡£¡£ËýÌØÊâÇ¿µ÷£¬£¬£¬£¬£¬£¬£¬£¬Ñ§Ï°²»µ«ÊÇÍê³ÉʹÃü£¬£¬£¬£¬£¬£¬£¬£¬¸üÊÇ×÷Óýϰ¹ßºÍÄÜÁ¦¡£¡£¡£¡£¡£¡£¡£Í¨¹ýËýµÄ?Ö¸µ¼£¬£¬£¬£¬£¬£¬£¬£¬Ä㽫ѧ»áÔõÑùÔÚÓÐÏÞµÄʱ¼äÄÚ×î´ó»¯Ñ§Ï°Ð§¹û£¬£¬£¬£¬£¬£¬£¬£¬ÕæÕý×öµ½¸ßЧѧϰ¡£¡£¡£¡£¡£¡£¡£
ÔÚÕâ¸ö³äÂúÌôÕ½Óëʱ»úµÄÊî¼Ù£¬£¬£¬£¬£¬£¬£¬£¬×÷Òµ³ÉΪÁËѧÉúÃÇÒ»Ñùƽ³£Ñ§Ï°ÉúÑÄÖеÄÒ»´ó?ÄÑÌâ¡£¡£¡£¡£¡£¡£¡£ÌØÊâÊǹØÓÚÄÇЩÔÚѧϰÉÏÓöµ½Æ¿¾±µÄͬÑâÀ´Ëµ£¬£¬£¬£¬£¬£¬£¬£¬×÷Òµ²»?½ö½öÊÇʹÃü£¬£¬£¬£¬£¬£¬£¬£¬¸üÊÇÒ»´ÎÉú³¤ºÍǰ½øµÄ»ú»á¡£¡£¡£¡£¡£¡£¡£¶øÔÚÕâ¸öÀú³ÌÖУ¬£¬£¬£¬£¬£¬£¬£¬ÓÐÒ»¸öÃû×ÖÓú·¢ÒýÆðÁËѧÉúÃǵĹØ×¢¡ª¡ªÕÅÍñÓ¨¡£¡£¡£¡£¡£¡£¡£ËýµÄÊî¼Ù×÷ÒµÃÕµ×£¬£¬£¬£¬£¬£¬£¬£¬³ÉΪÁËÐí¶àѧÉúÐÄÖеÄÒ»ÕµÃ÷µÆ?£¬£¬£¬£¬£¬£¬£¬£¬Ö¸ÒýËûÃÇ×ßÏòѧÊõ³É?¹¦Ö®Â·¡£¡£¡£¡£¡£¡£¡£
ÊÂʵʲôÊÇ¡°uuæäÕ¾ÕÅÍñÓ¨Êî¼Ù×÷ÒµÃյס±ÄÜΪÎÒÃÇ´øÀ´µÄ?×ÊÖúÄØ£¿£¿£¿£¿£¿£¿£¿ÈÃÎÒÃÇÒ»Æð½Ò¿ªÕâ¸öÉñÃØÃæÉ´¡£¡£¡£¡£¡£¡£¡£
ÕÅÍñÓ¨ÏÈÉúÇ¿µ÷£¬£¬£¬£¬£¬£¬£¬£¬Ê±¼ä¹ÜÀíÊǸßЧ×÷ÒµµÄÒªº¦¡£¡£¡£¡£¡£¡£¡£ÌìÌìÔçÉÏÆð´²ºó£¬£¬£¬£¬£¬£¬£¬£¬Öƶ©Ò»¸öÏêϸµÄ×÷ÒµÍýÏ룬£¬£¬£¬£¬£¬£¬£¬Ã÷ȷÿ¸öʱ¼ä¶ÎÐèÒªÍê³ÉµÄʹÃü¡£¡£¡£¡£¡£¡£¡£ÕâÑù¿ÉÒÔ×èÖ¹ÎÒÃÇÔÚÍíÉÏһͷÎíË®µØ·ÜÕ½£¬£¬£¬£¬£¬£¬£¬£¬´Ó¶ø´ó´óÌá¸ßЧÂÊ¡£¡£¡£¡£¡£¡£¡£ÔÚÍýÏëÖÐÁô³öһЩÐÝϢʱ¼ä£¬£¬£¬£¬£¬£¬£¬£¬²»µ«¿ÉÒÔÈôóÄÔ»ñµÃËÉ¿ª£¬£¬£¬£¬£¬£¬£¬£¬»¹ÄÜÔÚÐèҪʱÌá¸ßѧϰµÄרע¶È¡£¡£¡£¡£¡£¡£¡£
$$12x-3y+2x+3y=15+6\14x=21\x=\frac{21}{14}=\frac{3}{2}$$
´úÈë$x=\frac{3}{2}$µ½µÚ¶þ¸ö·½³ÌÖУº
$$4\cdot\frac{3}{2}-y=5\6-y=5\y=1$$
Òò´Ë£¬£¬£¬£¬£¬£¬£¬£¬·½³Ì×éµÄ½âΪ$(x,y)=(\frac{3}{2},1)$¡£¡£¡£¡£¡£¡£¡£
ѧϰС×飺×齨»ò¼ÓÈëѧϰС×飬£¬£¬£¬£¬£¬£¬£¬ÓëËûÈËÒ»ÆðѧϰºÍÌÖÂÛ¡£¡£¡£¡£¡£¡£¡£»£»£»£»£Ï໥¼¤Àø£ºÍ¨¹ýÏ໥×ÊÖúºÍÃãÀø£¬£¬£¬£¬£¬£¬£¬£¬ÌáÉýѧϰµÄÆð¾¢ÐÔ¡£¡£¡£¡£¡£¡£¡£
ͨ¹ýºÏÀíµÄʱ¼ä¹ÜÀí¡¢¶àÑù»¯µÄѧϰ×ÊÔ´¡¢Êµ¼ùÓëÓ¦Óá¢Æð¾¢µÄÐÄ̬µ÷½âºÍÓëËûÈ˵Ļ¥¶¯£¬£¬£¬£¬£¬£¬£¬£¬ÎÒÃÇ¿ÉÒÔÀë±ð¡°×¥Ï¹¡±£¬£¬£¬£¬£¬£¬£¬£¬½âËø×Ô¼ºµÄ?ÊîÆÚ³¬ÄÜÁ¦¡£¡£¡£¡£¡£¡£¡£Ï£ÍûÕÅÍñÓ¨µÄѧϰÂÄÀúºÍÒªÁìÄÜΪÄúÔÚÊî¼Ùʱ´úÌṩÓÐÒæµÄÖ¸µ¼£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÊîÆÚ³ÉΪÄúѧϰµÄÈ«ÐÂÆðµã£¡
ѧϰ²»±Ø×ÜÊÇËÀ°å·¦Î¶£¬£¬£¬£¬£¬£¬£¬£¬ÕÅÍñÓ¨µÄÊî?Êî¼Ù×÷ÒµÃյײ»µ«½öÊÇÒ»·Ý¹¤¾ß£¬£¬£¬£¬£¬£¬£¬£¬¸üÊÇÒ»¸öÒâ¼ûÒâÒåѧϰµÄÆðµã¡£¡£¡£¡£¡£¡£¡£ÕÅÍñÓ¨½«Ñ§Ï°±ä?µÃÓÐȤ£¬£¬£¬£¬£¬£¬£¬£¬ÈÃÄãÔÚÇáËÉÓä¿ìµÄÆø·ÕÖÐѧϰ֪ʶ¡£¡£¡£¡£¡£¡£¡£Ëýͨ¹ýÖÖÖÖÓÐȤµÄÔ˶¯ºÍ»¥¶¯£¬£¬£¬£¬£¬£¬£¬£¬Òý·¢Ñ§ÉúµÄѧϰÐËȤ£¬£¬£¬£¬£¬£¬£¬£¬ÈÃѧϰ³ÉΪһÖÖÏíÊÜ¡£¡£¡£¡£¡£¡£¡£
ÀýÈ磬£¬£¬£¬£¬£¬£¬£¬ÔÚѧϰÊýѧʱ£¬£¬£¬£¬£¬£¬£¬£¬ÕÅÍñÓ¨»áͨ¹ýÓÎÏ·ºÍÏÖʵÉúÑÄÖеÄÓ¦Ó㬣¬£¬£¬£¬£¬£¬£¬ÈÃѧÉú¸ÐÊܵ½ÊýѧµÄÒâ¼ûÒâÒåºÍÊÊÓÃÐÔ¡£¡£¡£¡£¡£¡£¡£ÔÚÓ¢ÓïѧϰÖУ¬£¬£¬£¬£¬£¬£¬£¬Ëý»áÒýÈëÓÐȤµÄ¹ÊʺÍÇé¾°£¬£¬£¬£¬£¬£¬£¬£¬ÈÃѧÉúÔÚÓä¿ìµÄÆø·ÕÖÐѧϰÐÂ֪ʶ¡£¡£¡£¡£¡£¡£¡£