ÌâÄ¿ÄÚÈÝ
ÒÑÖªfÊÇÖ±½Ç×ø±êƽÃæxOyµ½×ÔÉíµÄÒ»¸öÓ³É䣬µãPÔÚÓ³ÉäfϵÄÏóΪµãQ£¬¼Ç×÷Q=f(P)£¬ÉèP1£¨x1£¬y1£©£¬P2=f(P1)£¬P3=f(P2)£¬¡£¬Pn=f(Pn-1)£¬¡¡£Èç¹û´æÔÚÒ»¸öÔ²£¬Ê¹ËùÓеĵãPn(xn£¬yn)(n¡ÊN*)¶¼ÔÚÕâ¸öÔ²ÄÚ»òÔ²ÉÏ£¬ÄÇô³ÆÕâ¸öԲΪµãPn(xn£¬yn)µÄÒ»¸öÊÕÁ²Ô²¡£ÌرðµØ£¬µ±P1=f(P1)ʱ£¬Ôò³ÆµãP1ΪӳÉäfϵIJ»¶¯µã£¬
(¢ñ)ÈôµãP(x£¬y)ÔÚÓ³ÉäfϵÄÏóΪµãQ(2x£¬1-y)£¬
¢ÙÇóÓ³Éäfϲ»¶¯µãµÄ×ø±ê£»
¢ÚÈôP1µÄ×ø±êΪ(1£¬2)£¬ÅжϵãPn(xn£¬yn)(n¡ÊN*)ÊÇ·ñ´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²£¬²¢ËµÃ÷ÀíÓÉ£»
(¢ò)ÈôµãP(x£¬y)ÔÚÓ³ÉäfϵÄÏóΪµã£¬P1(2£¬3)£¬ÇóÖ¤£ºµãPn(xn£¬yn)(n¡ÊN*)´æÔÚÒ»¸ö°ë¾¶ÎªµÄÊÕÁ²Ô²¡£
(¢ñ)ÈôµãP(x£¬y)ÔÚÓ³ÉäfϵÄÏóΪµãQ(2x£¬1-y)£¬
¢ÙÇóÓ³Éäfϲ»¶¯µãµÄ×ø±ê£»
¢ÚÈôP1µÄ×ø±êΪ(1£¬2)£¬ÅжϵãPn(xn£¬yn)(n¡ÊN*)ÊÇ·ñ´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²£¬²¢ËµÃ÷ÀíÓÉ£»
(¢ò)ÈôµãP(x£¬y)ÔÚÓ³ÉäfϵÄÏóΪµã£¬P1(2£¬3)£¬ÇóÖ¤£ºµãPn(xn£¬yn)(n¡ÊN*)´æÔÚÒ»¸ö°ë¾¶ÎªµÄÊÕÁ²Ô²¡£
£¨¢ñ£©¢Ù½â£ºÉè²»¶¯µãµÄ×ø±êΪ£¬
ÓÉÌâÒ⣬µÃ£¬½âµÃ£¬
ËùÒÔÓ³Éäfϲ»¶¯µãΪ£»
¢Ú½áÂÛ£ºµãPn(xn£¬yn)²»´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²¡£
Ö¤Ã÷£ºÓÉ£¬µÃ£¬
ËùÒÔ£¬
ÔòµãP1£¬P4²»¿ÉÄÜÔÚͬһ¸ö°ë¾¶Îª3µÄÔ²ÄÚ£¬
ËùÒÔµãPn(xn£¬yn)(n¡ÊN*)²»´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²¡£
£¨¢ò£©Ö¤Ã÷£ºÓÉ£¬µÃ£¬
ÓÉ£¬µÃ£¬
ËùÒÔ£»
ÓÉ£¬µÃ£¬
ËùÒÔ£¬
¼´£¬
ÓÉ£¬µÃ£¬Í¬Àí£¬
ËùÒÔ£¬
ËùÒÔÊýÁж¼Êǹ«±ÈΪµÄµÈ±ÈÊýÁУ¬Ê×Ïî·Ö±ðΪ£¬
ËùÒÔ£¬
ͬÀí¿ÉµÃ£¬
ËùÒÔ¶ÔÈÎÒân¡ÊN*£¬£¬
ÉèA£¨3£¬1£©£¬Ôò£¬
ËùÒÔ£¬
¹ÊËùÓеĵ㶼ÔÚÒÔA£¨3£¬1£©ÎªÔ²ÐÄ£¬Îª°ë¾¶µÄÔ²ÄÚ»òÔ²ÉÏ£¬
¼´µã´æÔÚÒ»¸ö°ë¾¶ÎªµÄÊÕÁ²Ô²¡£
ÓÉÌâÒ⣬µÃ£¬½âµÃ£¬
ËùÒÔÓ³Éäfϲ»¶¯µãΪ£»
¢Ú½áÂÛ£ºµãPn(xn£¬yn)²»´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²¡£
Ö¤Ã÷£ºÓÉ£¬µÃ£¬
ËùÒÔ£¬
ÔòµãP1£¬P4²»¿ÉÄÜÔÚͬһ¸ö°ë¾¶Îª3µÄÔ²ÄÚ£¬
ËùÒÔµãPn(xn£¬yn)(n¡ÊN*)²»´æÔÚÒ»¸ö°ë¾¶Îª3µÄÊÕÁ²Ô²¡£
£¨¢ò£©Ö¤Ã÷£ºÓÉ£¬µÃ£¬
ÓÉ£¬µÃ£¬
ËùÒÔ£»
ÓÉ£¬µÃ£¬
ËùÒÔ£¬
¼´£¬
ÓÉ£¬µÃ£¬Í¬Àí£¬
ËùÒÔ£¬
ËùÒÔÊýÁж¼Êǹ«±ÈΪµÄµÈ±ÈÊýÁУ¬Ê×Ïî·Ö±ðΪ£¬
ËùÒÔ£¬
ͬÀí¿ÉµÃ£¬
ËùÒÔ¶ÔÈÎÒân¡ÊN*£¬£¬
ÉèA£¨3£¬1£©£¬Ôò£¬
ËùÒÔ£¬
¹ÊËùÓеĵ㶼ÔÚÒÔA£¨3£¬1£©ÎªÔ²ÐÄ£¬Îª°ë¾¶µÄÔ²ÄÚ»òÔ²ÉÏ£¬
¼´µã´æÔÚÒ»¸ö°ë¾¶ÎªµÄÊÕÁ²Ô²¡£
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿