£¨2008•Á¬ÔƸۣ©Èçͼ£¬ÏÖÓÐÁ½¿éÈ«µÈµÄÖ±½ÇÈý½ÇÐÎÖ½°å¢ñ£¬¢ò£¬ËüÃÇÁ½Ö±½Ç±ßµÄ³¤·Ö±ðΪ1ºÍ2£®½«ËüÃÇ·Ö±ð·ÅÖÃÓÚƽÃæÖ±½Ç×ø±êϵÖеġ÷AOB£¬¡÷COD´¦£¬Ö±½Ç±ßOB£¬ODÔÚxÖáÉÏ£®Ò»Ö±³ß´ÓÉÏ·½½ô¿¿Á½Ö½°å·ÅÖã¬ÈÃÖ½°å¢ñÑØÖ±³ß±ßԵƽÐÐÒƶ¯£®µ±Ö½°å¢ñÒƶ¯ÖÁ¡÷PEF´¦Ê±£¬ÉèPE£¬PFÓëOC·Ö±ð½»ÓÚµãM£¬N£¬ÓëxÖá·Ö±ð½»ÓÚµãG£¬H£®
£¨1£©ÇóÖ±ÏßACËù¶ÔÓ¦µÄº¯Êý¹Øϵʽ£»
£¨2£©µ±µãPÊÇÏ߶ÎAC£¨¶Ëµã³ýÍ⣩ÉϵĶ¯µãʱ£¬ÊÔ̽¾¿£º
¢ÙµãMµ½xÖáµÄ¾àÀëhÓëÏ߶ÎBHµÄ³¤ÊÇ·ñ×ÜÏàµÈ£¿Çë˵Ã÷ÀíÓÉ£»
¢ÚÁ½¿éÖ½°åÖصþ²¿·Ö£¨Í¼ÖеÄÒõÓ°²¿·Ö£©µÄÃæ»ýSÊÇ·ñ´æÔÚ×î´óÖµ£¿Èô´æÔÚ£¬Çó³öÕâ¸ö×î´óÖµ¼°SÈ¡×î´óֵʱµãPµÄ×ø±ê£»Èô²»´æÔÚ£¬Çë˵Ã÷ÀíÓÉ£®

¡¾´ð°¸¡¿·ÖÎö£º£¨1£©¸ù¾ÝÖ±½ÇÈý½Ç°åµÄÖ±½Ç±ß³¤·Ö±ðΪ1ºÍ2¿ÉÖª£ºAB=OD=2£¬OB=CD=1£®¼´AµãµÄ×ø±êÊÇ£¨1£¬2£©£»CµãµÄ×ø±êÊÇ£¨2£¬1£©£®¿É¸ù¾ÝA¡¢CµÄ×ø±êÓôý¶¨ÏµÊý·¨Çó³öÖ±ÏßACµÄº¯Êý½âÎöʽ£®
£¨2£©¢ÙMµ½xÖáµÄ¾àÀë¾ÍÊÇMµÄ×Ý×ø±ê£¬¶øBHµÄ³¤¾ÍÊÇPµÄºá×ø±ê¼õÈ¥OBµÄ³¤£¬¿ÉÏȸù¾ÝÖ±ÏßACµÄ½âÎöʽÉè³öPµãµÄ×ø±ê£¬ÄÇô¿ÉµÃ³öBHµÄ³¤£®¸ù¾Ý¡ÏGPHµÄÕýÇÐÖµ£¬¿É±íʾ³öGHµÄ³¤£¬Ò²¾ÍÇó³öÁËGµãµÄ×ø±ê£®È»ºóÇóµãMµÄ×Ý×ø±ê£®¿ÉÏȸù¾ÝOCËùÔÚÖ±ÏߵĽâÎöʽÉè³öMµãµÄ×ø±ê£¬È»ºó½«MµãµÄ×ø±ê´úÈëÖ±ÏßPGµÄ½âÎöʽÖУ¨¿É¸ù¾ÝP£¬GÁ½µãµÄ×ø±êÇóµÃ£©¿ÉµÃ³öM×Ý×ø±êµÄ±í´ïʽ£¬È»ºóͬBHµÄ±í´ïʽ½øÐбȽϼ´¿ÉµÃ³öMµ½xÖáµÄ¾àÀëÊÇ·ñÓëBHÏàµÈ£®
¢Ú¸ù¾Ý¢ÙÎÒÃǿɵóöM¡¢N¡¢GÈýµãµÄ×ø±ê£¬È»ºó¸ù¾ÝÒõÓ°²¿·ÖµÄÃæ»ý=¡÷ONHµÄÃæ»ý-¡÷OMGµÄÃæ»ý£®¼´¿ÉµÃ³ö¹ØÓÚSµÄº¯Êý½âÎöʽ£®È»ºó¸ù¾Ýº¯ÊýµÄÐÔÖʼ´¿ÉÇó³öSµÄ×î´óÖµÒÔ¼°¶ÔÓ¦µÄPµÄ×ø±ê£®
½â´ð£º½â£º£¨1£©ÓÉÖ±½ÇÈý½ÇÐÎÖ½°åµÄÁ½Ö±½Ç±ßµÄ³¤Îª1ºÍ2£¬
ÖªA£¬CÁ½µãµÄ×ø±ê·Ö±ðΪ£¨1£¬2£©£¬£¨2£¬1£©£®
ÉèÖ±ÏßACËù¶ÔÓ¦µÄº¯Êý¹ØϵʽΪy=kx+b£®
ÓÐ
½âµÃ
¡àÖ±ÏßACËù¶ÔÓ¦µÄº¯Êý¹ØϵʽΪy=-x+3£®

£¨2£©¢ÙµãMµ½xÖá¾àÀëhÓëÏ߶ÎBHµÄ³¤×ÜÏàµÈ£®
¡ßµãCµÄ×ø±êΪ£¨2£¬1£©£¬
¡àÖ±ÏßOCËù¶ÔÓ¦µÄº¯Êý¹ØϵʽΪy=x£®
ÓÖ¡ßµãPÔÚÖ±ÏßACÉÏ£¬
¡à¿ÉÉèµãPµÄ×ø±êΪ£¨a£¬3-a£©£®
¹ýµãM×÷xÖáµÄ´¹Ïߣ¬Éè´¹×ãΪµãK£¬ÔòÓÐMK=h£®
¡ßµãMÔÚÖ±ÏßOCÉÏ£¬
¡àÓÐM£¨2h£¬h£©£®
¡ßÖ½°åΪƽÐÐÒƶ¯£¬
¹ÊÓÐEF¡ÎOB£¬¼´EF¡ÎGH£®
ÓÖEF¡ÍPF£¬¡àPH¡ÍGH£®
¹ÊRt¡÷PHG¡×Rt¡÷PFE£¬¿ÉµÃ£®
¹ÊGH=PH=£¨3-a£©£®
¡àOG=OH-GH=a-£¨3-a£©=£¨a-1£©£®
¹ÊGµã×ø±êΪ£¨£¨a-1£©£¬0£©£®
ÉèÖ±ÏßPGËù¶ÔÓ¦µÄº¯Êý¹ØϵʽΪy=cx+d£¬
ÔòÓÐ
½âµÃ
¡àÖ±ÏßPGËù¶ÔµÄº¯Êý¹ØϵʽΪy=2x+£¨3-3a£©
½«µãMµÄ×ø±ê´úÈ룬¿ÉµÃh=4h+£¨3-3a£©£®
½âµÃh=a-1£®
¶øBH=OH-OB=a-1£¬´Ó¶ø×ÜÓÐh=BH£®
¢ÚÓÉ¢ÙÖª£¬µãMµÄ×ø±êΪ£¨2a-2£¬a-1£©£¬µãNµÄ×ø±êΪ£¨a£¬a£©£®
S=S¡÷ONH-S¡÷OMG=NH×OH-OG×h=a×a-×£¨a-1£©
=-a2+a-£®
µ±a=ʱ£¬SÓÐ×î´óÖµ£¬×î´óֵΪ£®
SÈ¡×î´óֵʱµãPµÄ×ø±êΪ£®
µãÆÀ£º±¾Ìâ×ÅÖØ¿¼²éÁË´ý¶¨ÏµÊý·¨Çóº¯Êý½âÎöʽ¡¢Í¼ÐÎƽÒƱ任¡¢Èý½ÇÐÎÏàËƵÈÖØҪ֪ʶµã£¬×ÛºÏÐÔÇ¿£¬¿¼²é·ÖÀàÌÖÂÛ£¬ÊýÐνáºÏµÄÊýѧ˼Ïë·½·¨£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º2011Äê3Ô½­ËÕÊ¡Á¬ÔƸÛÊиڲºÖÐѧÔ¿¼ÊýѧÊÔ¾í£¨½âÎö°æ£© ÌâÐÍ£ºÑ¡ÔñÌâ

£¨2008•Á¬ÔƸۣ©ÒÑ֪ij·´±ÈÀýº¯ÊýµÄͼÏó¾­¹ýµã£¨m£¬n£©£¬ÔòËüÒ»¶¨Ò²¾­¹ýµã£¨ £©
A£®£¨m£¬-n£©
B£®£¨n£¬m£©
C£®£¨-m£¬n£©
D£®£¨|m|£¬|n|£©

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º2009ÄêÕã½­Ê¡Äþ²¨ÊÐÕòº£Ó¦ÐоÃÍâÓïʵÑéѧУÖп¼Ä£ÄâÊÔ¾í£¨ÓàÂúÁú£©£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ

£¨2008•Á¬ÔƸۣ©Èçͼ£¬ÏÖÓÐÁ½¿éÈ«µÈµÄÖ±½ÇÈý½ÇÐÎÖ½°å¢ñ£¬¢ò£¬ËüÃÇÁ½Ö±½Ç±ßµÄ³¤·Ö±ðΪ1ºÍ2£®½«ËüÃÇ·Ö±ð·ÅÖÃÓÚƽÃæÖ±½Ç×ø±êϵÖеġ÷AOB£¬¡÷COD´¦£¬Ö±½Ç±ßOB£¬ODÔÚxÖáÉÏ£®Ò»Ö±³ß´ÓÉÏ·½½ô¿¿Á½Ö½°å·ÅÖã¬ÈÃÖ½°å¢ñÑØÖ±³ß±ßԵƽÐÐÒƶ¯£®µ±Ö½°å¢ñÒƶ¯ÖÁ¡÷PEF´¦Ê±£¬ÉèPE£¬PFÓëOC·Ö±ð½»ÓÚµãM£¬N£¬ÓëxÖá·Ö±ð½»ÓÚµãG£¬H£®
£¨1£©ÇóÖ±ÏßACËù¶ÔÓ¦µÄº¯Êý¹Øϵʽ£»
£¨2£©µ±µãPÊÇÏ߶ÎAC£¨¶Ëµã³ýÍ⣩ÉϵĶ¯µãʱ£¬ÊÔ̽¾¿£º
¢ÙµãMµ½xÖáµÄ¾àÀëhÓëÏ߶ÎBHµÄ³¤ÊÇ·ñ×ÜÏàµÈ£¿Çë˵Ã÷ÀíÓÉ£»
¢ÚÁ½¿éÖ½°åÖصþ²¿·Ö£¨Í¼ÖеÄÒõÓ°²¿·Ö£©µÄÃæ»ýSÊÇ·ñ´æÔÚ×î´óÖµ£¿Èô´æÔÚ£¬Çó³öÕâ¸ö×î´óÖµ¼°SÈ¡×î´óֵʱµãPµÄ×ø±ê£»Èô²»´æÔÚ£¬Çë˵Ã÷ÀíÓÉ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º2008Äê½­ËÕÊ¡Á¬ÔƸÛÊÐÖп¼ÊýѧÊÔ¾í£¨½âÎö°æ£© ÌâÐÍ£º½â´ðÌâ

£¨2008•Á¬ÔƸۣ©Èçͼ£¬ÏÖÓÐÁ½¿éÈ«µÈµÄÖ±½ÇÈý½ÇÐÎÖ½°å¢ñ£¬¢ò£¬ËüÃÇÁ½Ö±½Ç±ßµÄ³¤·Ö±ðΪ1ºÍ2£®½«ËüÃÇ·Ö±ð·ÅÖÃÓÚƽÃæÖ±½Ç×ø±êϵÖеġ÷AOB£¬¡÷COD´¦£¬Ö±½Ç±ßOB£¬ODÔÚxÖáÉÏ£®Ò»Ö±³ß´ÓÉÏ·½½ô¿¿Á½Ö½°å·ÅÖã¬ÈÃÖ½°å¢ñÑØÖ±³ß±ßԵƽÐÐÒƶ¯£®µ±Ö½°å¢ñÒƶ¯ÖÁ¡÷PEF´¦Ê±£¬ÉèPE£¬PFÓëOC·Ö±ð½»ÓÚµãM£¬N£¬ÓëxÖá·Ö±ð½»ÓÚµãG£¬H£®
£¨1£©ÇóÖ±ÏßACËù¶ÔÓ¦µÄº¯Êý¹Øϵʽ£»
£¨2£©µ±µãPÊÇÏ߶ÎAC£¨¶Ëµã³ýÍ⣩ÉϵĶ¯µãʱ£¬ÊÔ̽¾¿£º
¢ÙµãMµ½xÖáµÄ¾àÀëhÓëÏ߶ÎBHµÄ³¤ÊÇ·ñ×ÜÏàµÈ£¿Çë˵Ã÷ÀíÓÉ£»
¢ÚÁ½¿éÖ½°åÖصþ²¿·Ö£¨Í¼ÖеÄÒõÓ°²¿·Ö£©µÄÃæ»ýSÊÇ·ñ´æÔÚ×î´óÖµ£¿Èô´æÔÚ£¬Çó³öÕâ¸ö×î´óÖµ¼°SÈ¡×î´óֵʱµãPµÄ×ø±ê£»Èô²»´æÔÚ£¬Çë˵Ã÷ÀíÓÉ£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º2008Äê½­ËÕÊ¡Á¬ÔƸÛÊÐÖп¼ÊýѧÊÔ¾í£¨½âÎö°æ£© ÌâÐÍ£ºÑ¡ÔñÌâ

£¨2008•Á¬ÔƸۣ©ÒÑ֪ij·´±ÈÀýº¯ÊýµÄͼÏó¾­¹ýµã£¨m£¬n£©£¬ÔòËüÒ»¶¨Ò²¾­¹ýµã£¨ £©
A£®£¨m£¬-n£©
B£®£¨n£¬m£©
C£®£¨-m£¬n£©
D£®£¨|m|£¬|n|£©

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸