Question

9£®´óѧÉú¿µ¿µ×ÔÖ÷´´Òµ£¬ÔÚ·ç¾°ÐãÀöµÄÒÅ°®ºþ±ß¿ªÁ˼äÒÅ°®¿§·È¹Ý£®ÐÂÍø¹ºµÄÿһÕÅÕý·½ÐεÄ×À×Ó¿É×ø4ÈË£¬°´ÕÕͼµÄ·½Ê½½«×À×ÓÆ´ÔÚÒ»Æð£¬ÊԻشðÏÂÁÐÎÊÌ⣮
£¨1£©Á½ÕÅ×À×ÓÆ´ÔÚÒ»Æð¿ÉÒÔ×ø¼¸ÈË£¿ÈýÕÅ×À×ÓÆ´ÔÚÒ»Æð¿ÉÒÔ×ø¼¸ÈË£¿nÕÅ×À×ÓÆ´ÔÚÒ»Æð¿ÉÒÔ×ø¼¸ÈË£¿
£¨2£©¿§·È¹ÝÀïÓÐ60ÕÅÕâÑùµÄÕý·½ÐÎ×À×Ó£¬°´ÉÏͼ·½Ê½Ã¿4ÕÅÆ´³ÉÒ»¸ö´ó×À×Ó£¬Ôò60ÕÅ×À×Ó¿ÉÒÔÆ´³É15ÕÅ´ó×À×Ó£¬¹²¿É×ø¶àÉÙÈË£¿
£¨3£©ÔÚ£¨2£©ÖÐÈôÿ4ÕÅ×À×ÓÆ´³ÉÒ»¸ö´óµÄÕý·½ÐΣ¬¹²¿É×ø¶àÉÙÈË£¿
£¨4£©¶ÔÓÚ¿§·È¹Ý£¬ÄÄÖÖÆ´×À×ӵķ½Ê½¿ÉÒÔ×øµÄÈ˸ü¶à£¿

Answer 1

·ÖÎö £¨1£©¹Û²ì°Ú·ÅµÄ×À×Ó£¬²»ÄÑ·¢ÏÖ£ºÔÚ1ÕÅ×À×Ó×ø4È˵Ļù´¡ÉÏ£¬¶à1ÕÅ×À×Ó£¬¶à2ÈË£®ÔònÕÅ×À×Óʱ£¬ÓÐ4+2£¨n-1£©=2n+2£»
£¨2£©¼ÆËã³öÿ4ÕÅÆ´³ÉÒ»¸ö´ó×À×Ó×øµÄÈËÊý£¬½øÒ»²½ÇóµÃ15ÕÅ´ó×À×Ó£¬¹²¿É×ø¶àÉÙÈË£»
£¨3£©ÓÉÿһÌõ±ß×ø2¸öÈ˵óö´ð°¸¼´¿É£»
£¨4£©±È½Ï£¨2£©£¨3£©µÃ³ö´ð°¸¼´¿É£®

½â´ð ½â£º£¨1£©Á½ÕÅ×À×ÓÆ´ÔÚÒ»Æð¿É×ø2+2+2=6£¨ÈË£©£»
ÈýÕÅ×À×ÓÆ´ÔÚÒ»Æð¿É×ø2+2+2+2=8£¨ÈË£©£»
nÕÅ×À×ÓÆ´ÔÚÒ»Æð¿É×ø2£¨n+1£©=2n+2£¨ÈË£©£®
£¨2£©°´ÉÏͼ·½Ê½Ã¿4ÕÅ×À×ÓÆ´³ÉÒ»¸ö´ó×À×Ó£¬ÄÇôһÕÅ´ó×À×Ó¿É×ø2¡Á4+2=10£¨ÈË£©£®
ËùÒÔ15ÕÅ´ó×À×Ó¿É×ø10¡Á15=150£¨ÈË£©£®
£¨3£©ÔÚ£¨2£©ÖУ¬Èôÿ4ÕÅ×À×ÓÆ´³ÉÒ»¸ö´óµÄÕý·½ÐÎ×À×Ó£¬ÔòÒ»ÕÅ´óÕý·½ÐÎ×À×Ó¿É×ø8ÈË£¬15ÕÅ´óÕý·½ÐÎ×À×Ó¿É×ø8¡Á15=120£¨ÈË£©£®
£¨4£©ÓÉ£¨2£©£¨3£©±È½Ï¿ÉÖª£¬¸Ã¿§·È¹Ý²ÉÓõÚÒ»ÖÖÆ´°Ú·½Ê½¿ÉÒÔ×øµÄÈ˸ü¶à£®

µãÆÀ ´ËÌ⿼²éͼÐεı仯¹æÂÉ£¬Òª½áºÏͼÐÎÀ´ÕÒµ½¹æÂÉ£ºÈç¹ûÈçͼ°Ú·Å£¬ÔòÔÚ4µÄ»ù´¡ÉÏ£¬¶à1ÕÅ×À×Ó£¬¶à2ÈËÊǽâ¾öÎÊÌâµÄ¹Ø¼ü£®