ÌâÄ¿ÄÚÈÝ
£¨2007•ÎÞÎý£©Í¼1ÊÇÓÉÈô¸É¸öСԲȦ¶Ñ³ÉµÄÒ»¸öÐÎÈçÕýÈý½ÇÐεÄͼ°¸£¬×îÉÏÃæ-²ãÓÐÒ»¸öԲȦ£¬ÒÔϸ÷²ã¾ù±ÈÉÏ-²ã¶àÒ»¸öԲȦ£¬Ò»¹²¶ÑÁËn²ã£®½«Í¼1µ¹ÖúóÓëÔͼ1Æ´³Éͼ2µÄÐÎ×´£¬ÕâÑùÎÒÃÇ¿ÉÒÔËã³öͼ1ÖÐËùÓÐԲȦµÄ¸öÊýΪ1+2+3+¡+n=£®Èç¹ûͼ1ÖеÄԲȦ¹²ÓÐ12²ã£¬
£¨1£©ÎÒÃÇ×ÔÉÏÍùÏ£¬ÔÚÿ¸öԲȦÖж¼°´Í¼3µÄ·½Ê½ÌîÉÏÒ»´®Á¬ÐøµÄÕýÕûÊý1£¬2£¬3£¬4£¬¡£¬Ôò×îµ×²ã×î×ó±ßÕâ¸öԲȦÖеÄÊýÊÇ£»
£¨2£©ÎÒÃÇ×ÔÉÏÍùÏ£¬ÔÚÿ¸öԲȦÖж¼°´Í¼4µÄ·½Ê½ÌîÉÏÒ»´®Á¬ÐøµÄÕûÊý-23£¬-22£¬-21£¬¡£¬Çóͼ4ÖÐËùÓÐԲȦÖи÷ÊýµÄ¾ø¶ÔÖµÖ®ºÍ£®
¡¾´ð°¸¡¿·ÖÎö£º£¨1£©12²ãʱ×îµ×²ã×î×ó±ßÕâ¸öԲȦÖеÄÊýÊÇ11²ãµÄÊý×ÖÖ®ºÍÔÙ¼Ó1£»
£¨2£©Ê×ÏȼÆËãԲȦµÄ¸öÊý£¬´Ó¶ø·ÖÎö³ö23¸ö¸ºÊýºó£¬ÓÖÓжàÉÙ¸öÕýÊý£®
½â´ð£º½â£º£¨1£©1+2+3+¡+11+1=6×11+1=67£»
£¨2£©Í¼4ÖÐËùÓÐԲȦÖй²ÓÐ1+2+3+¡+12==78¸öÊý£¬ÆäÖÐ23¸ö¸ºÊý£¬1¸ö0£¬54¸öÕýÊý£¬
ËùÒÔͼ4ÖÐËùÓÐԲȦÖи÷ÊýµÄ¾ø¶ÔÖµÖ®ºÍ=|-23|+|-22|+¡+|-1|+0+1+2+¡+54=£¨1+2+3+¡+23£©+£¨1+2+3+¡+54£©=276+1485=1761£®
Áí½â£ºµÚÒ»²ãÓÐÒ»¸öÊý£¬µÚ¶þ²ãÓÐÁ½¸öÊý£¬Í¬ÀíµÚn²ãÓÐn¸öÊý£¬¹ÊÔÌâÖÐ1+2+£®+11Ϊ11²ãÊýµÄ¸öÊý¼´ÎªµÚ11²ã×îºóµÄԲȦÖеÄÊý×Ö£¬¼ÓÉÏ1¼´Îª12²ãµÄµÚÒ»¸öÊý×Ö£®
µãÆÀ£º±¾ÌâÊÇÒ»µÀÕÒ¹æÂɵÄÌâÄ¿£¬ÒªÇóѧÉúͨ¹ý¹Û²ì£¬·ÖÎö¡¢¹éÄÉ·¢ÏÖÆäÖеĹæÂÉ£¬²¢Ó¦Ó÷¢ÏֵĹæÂɽâ¾öÎÊÌ⣮עÒâÁ¬ÐøÕûÊýÏà¼ÓµÄʱºòµÄÕâÖÖ¼ò±ã¼ÆËã·½·¨£º1+2+3+¡+n=£®
£¨2£©Ê×ÏȼÆËãԲȦµÄ¸öÊý£¬´Ó¶ø·ÖÎö³ö23¸ö¸ºÊýºó£¬ÓÖÓжàÉÙ¸öÕýÊý£®
½â´ð£º½â£º£¨1£©1+2+3+¡+11+1=6×11+1=67£»
£¨2£©Í¼4ÖÐËùÓÐԲȦÖй²ÓÐ1+2+3+¡+12==78¸öÊý£¬ÆäÖÐ23¸ö¸ºÊý£¬1¸ö0£¬54¸öÕýÊý£¬
ËùÒÔͼ4ÖÐËùÓÐԲȦÖи÷ÊýµÄ¾ø¶ÔÖµÖ®ºÍ=|-23|+|-22|+¡+|-1|+0+1+2+¡+54=£¨1+2+3+¡+23£©+£¨1+2+3+¡+54£©=276+1485=1761£®
Áí½â£ºµÚÒ»²ãÓÐÒ»¸öÊý£¬µÚ¶þ²ãÓÐÁ½¸öÊý£¬Í¬ÀíµÚn²ãÓÐn¸öÊý£¬¹ÊÔÌâÖÐ1+2+£®+11Ϊ11²ãÊýµÄ¸öÊý¼´ÎªµÚ11²ã×îºóµÄԲȦÖеÄÊý×Ö£¬¼ÓÉÏ1¼´Îª12²ãµÄµÚÒ»¸öÊý×Ö£®
µãÆÀ£º±¾ÌâÊÇÒ»µÀÕÒ¹æÂɵÄÌâÄ¿£¬ÒªÇóѧÉúͨ¹ý¹Û²ì£¬·ÖÎö¡¢¹éÄÉ·¢ÏÖÆäÖеĹæÂÉ£¬²¢Ó¦Ó÷¢ÏֵĹæÂɽâ¾öÎÊÌ⣮עÒâÁ¬ÐøÕûÊýÏà¼ÓµÄʱºòµÄÕâÖÖ¼ò±ã¼ÆËã·½·¨£º1+2+3+¡+n=£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿