ÌâÄ¿ÄÚÈÝ

£¨1£©ÇóÖ¤£ºAB¡ÍPQ£»
£¨2£©ÔÚµ×±ßACÉÏÓÐÒ»µãM£¬Âú×ãAM£»MC=3£º4£¬ÇóÖ¤£ºBM¡ÎƽÃæAPQ£®
£¨3£©ÇóÖ±ÏßBCÓëƽÃæAPQËù³É½ÇµÄÕýÏÒÖµ£®
¡¾´ð°¸¡¿·ÖÎö£º£¨1£©ÓÉAB¡ÍBC£®AB¡ÍBB1£¬µÃAB¡ÍƽÃæBC1£¬Ò×µÃAB¡ÍPQ£»
£¨2£©¹ýM×÷MN¡ÎCQ½»AQÓÚN£¬Á¬½ÓPN£¬ÓÉPB¡ÎCQµÃMN¡ÎPB£¬´Ó¶øËıßÐÎPBMNΪƽÐÐËıßÐΣ¬¶Ô±ßƽÐÐBM¡ÎPN£¬ÓÉÏßÃæƽÐеÄÅж¨¶¨ÀíµÃBM¡ÎƽÃæAPQ£»
£¨3£©ÏÈÇóµÃ¸÷µãµÄ×ø±ê£¬´Ó¶øµÃ³öÏàÓ¦ÏòÁ¿µÄ×ø±ê£¬ÔÙÇó³öƽÃæAPQµÄ·¨ÏòÁ¿£¬ÓÉÏßÃæ½Ç¹«Ê½Çó½â£®
½â´ð£º
½â£ºÖ¤Ã÷£º£¨1£©Ö¤Ã÷£ºÒòΪAB=3£¬BC=4£¬
ËùÒÔAC=5£¬´Ó¶øAC2=AB2+BC2£¬
¼´AB¡ÍBC£®£¨2·Ö£©
ÓÖÒòΪAB¡ÍBB1£¬¶øBC¡ÉBB1=B£¬
ËùÒÔAB¡ÍƽÃæBC1£¬ÓÖPQ?ƽÃæBC1
ËùÒÔAB¡ÍPQ£»£¨4·Ö£©
£¨2£©½â£º¹ýM×÷MN¡ÎCQ½»AQÓÚN£¬Á¬½ÓPN£¬
ÒòΪAM£ºMC=3£º4¡àAM£ºAC=MN£ºCQ=3£º7£¨6·Ö£©
¡àMN=PB=3£¬¡ßPB¡ÎCQ¡àMN¡ÎPB£¬¡àËıßÐÎPBMNΪƽÐÐËıßÐΡàBM¡ÎPN£¬ËùÒÔBM¡ÎƽÃæAPQ£¨8·Ö£©
£¨3£©½â£ºÓÉͼ1Öª£¬PB=AB=3£¬QC=7£¬·Ö±ðÒÔBA£¬BC£¬BB1Ϊx£¬y£¬zÖᣬ
ÔòA£¨3£¬0£¬0£©£¬C£¨0£¬4£¬0£©£¬P£¨0£¬0£¬3£©£¬Q£¨0£¬4£¬7£©
£¨10·Ö£©
ÉèƽÃæAPQµÄ·¨ÏòÁ¿Îª
£¬
ËùÒÔ
µÃ
£¬
Áîa=1£¬Ôòc=1£¬b=-1£¬
ËùÒÔÖ±ÏßBCÓëƽÃæAPQËù³É½ÇµÄÕýÏÒֵΪ
£¨12·Ö£©
£¨×¢£©ÓÃÆäËû½â·¨¿ÉÏàÓ¦¸ø·Ö£®
µãÆÀ£º±¾ÌâÖ÷Òª¿¼²éÏßÓëÏߣ¬ÏßÓëÃ棬ÃæÓëÃæµÄλÖùØϵºÍÏßÃæƽÐкÍÏßÃæ´¹Ö±µÄÅж¨¶¨Àí¼°¿Õ¼äÏòÁ¿µÄÓ¦Óã¬ÅàÑøѧÉúת»¯µÄÄÜÁ¦£®
£¨2£©¹ýM×÷MN¡ÎCQ½»AQÓÚN£¬Á¬½ÓPN£¬ÓÉPB¡ÎCQµÃMN¡ÎPB£¬´Ó¶øËıßÐÎPBMNΪƽÐÐËıßÐΣ¬¶Ô±ßƽÐÐBM¡ÎPN£¬ÓÉÏßÃæƽÐеÄÅж¨¶¨ÀíµÃBM¡ÎƽÃæAPQ£»
£¨3£©ÏÈÇóµÃ¸÷µãµÄ×ø±ê£¬´Ó¶øµÃ³öÏàÓ¦ÏòÁ¿µÄ×ø±ê£¬ÔÙÇó³öƽÃæAPQµÄ·¨ÏòÁ¿£¬ÓÉÏßÃæ½Ç¹«Ê½Çó½â£®
½â´ð£º

ËùÒÔAC=5£¬´Ó¶øAC2=AB2+BC2£¬
¼´AB¡ÍBC£®£¨2·Ö£©
ÓÖÒòΪAB¡ÍBB1£¬¶øBC¡ÉBB1=B£¬
ËùÒÔAB¡ÍƽÃæBC1£¬ÓÖPQ?ƽÃæBC1
ËùÒÔAB¡ÍPQ£»£¨4·Ö£©
£¨2£©½â£º¹ýM×÷MN¡ÎCQ½»AQÓÚN£¬Á¬½ÓPN£¬
ÒòΪAM£ºMC=3£º4¡àAM£ºAC=MN£ºCQ=3£º7£¨6·Ö£©
¡àMN=PB=3£¬¡ßPB¡ÎCQ¡àMN¡ÎPB£¬¡àËıßÐÎPBMNΪƽÐÐËıßÐΡàBM¡ÎPN£¬ËùÒÔBM¡ÎƽÃæAPQ£¨8·Ö£©
£¨3£©½â£ºÓÉͼ1Öª£¬PB=AB=3£¬QC=7£¬·Ö±ðÒÔBA£¬BC£¬BB1Ϊx£¬y£¬zÖᣬ
ÔòA£¨3£¬0£¬0£©£¬C£¨0£¬4£¬0£©£¬P£¨0£¬0£¬3£©£¬Q£¨0£¬4£¬7£©

ÉèƽÃæAPQµÄ·¨ÏòÁ¿Îª

ËùÒÔ


Áîa=1£¬Ôòc=1£¬b=-1£¬

ËùÒÔÖ±ÏßBCÓëƽÃæAPQËù³É½ÇµÄÕýÏÒֵΪ

£¨×¢£©ÓÃÆäËû½â·¨¿ÉÏàÓ¦¸ø·Ö£®
µãÆÀ£º±¾ÌâÖ÷Òª¿¼²éÏßÓëÏߣ¬ÏßÓëÃ棬ÃæÓëÃæµÄλÖùØϵºÍÏßÃæƽÐкÍÏßÃæ´¹Ö±µÄÅж¨¶¨Àí¼°¿Õ¼äÏòÁ¿µÄÓ¦Óã¬ÅàÑøѧÉúת»¯µÄÄÜÁ¦£®

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿