ÔĶÁÏÂÁвÄÁÏ£¬È»ºó»Ø´ðÎĺóÎÊÌ⣮
Èçͼ£¬ÔÚn±ßÐÎÄÚÈÎÈ¡Ò»µãO£¬²¢°ÑOÓë¸÷¶¥µãÁ¬½ÓÆðÀ´£¬¹²¹¹³Én¸öÈý½ÇÐΣ¬Õân¸öÈý½ÇÐεÄÄڽǺÍΪn•180¡ã£¬ÔÙ¼õÈ¥ÒÔµãOΪ¶¥µãµÄÒ»¸öÖܽǣ¬¾Í¿ÉÒԵõ½n±ßÐεÄÄڽǺÍΪ£¨n-2£©•180¡ã£®
»Ø´ð£º
£¨1£©ÕâÖÖ·½·¨Êǽ«______ÎÊÌâת»¯Îª______ÎÊÌâÀ´½â¾öµÄ£¬ÕâÖÖת»¯ÊÇ______˼ÏëµÄÌåÏÖ£¬Ò²ÕýÊǽâ¾ö______ÎÊÌâµÄ»ù±¾Ë¼Ï룻
£¨2£©ÈôÔÚn±ßÐεÄÒ»±ßÉÏ»òÍⲿÈÎÈ¡Ò»µãO£¬²¢°ÑOÓë¸÷¶¥µãÁ¬½ÓÆðÀ´£¬ÄÇôÈçºÎ˵Ã÷n±ßÐεÄÄڽǺÍΪ£¨n-2£©•180¡ã£®

½â£º£¨1£©¶à±ßÐΣ¬Èý½ÇÐΣ¬»¯¹é£¬¶à±ßÐΣ»

£¨2£©ÈôOÔÚÒ»±ßÉÏ£¬Á¬½ÓOÓë¸÷¶¥µã£¬Ôò¹²¹¹³É£¨n-1£©¸öÈý½ÇÐΣ¬Õ⣨n-1£©¸öÈý½ÇÐεÄÄڽǺÍΪ£¨n-1£©•180¡ã£¬ÔÙ¼õÈ¥ÒÔµãOΪ¶¥µãµÄÒ»¸öƽ½Ç£¬¼´£¨n-1£©•180¡ã-180¡ã=£¨n-2£©•180¡ã£»
ÈôµãOÔÚÍⲿ£¬Á¬½ÓOÓë¸÷¶¥µã£¬Ôò¹²¹¹³Én¸öÈý½ÇÐΣ¬Õân¸öÈý½ÇÐεÄÄڽǺÍΪn•180¡ã£¬ÔÙ¼õÈ¥ÒÔµãOΪ¶¥µãµÄ¶à³öµÄÁ½¸öÈý½ÇÐεÄÄڽǺͣ¬¼´n•180¡ã-180¡ã¡Á2=£¨n-2£©•180¡ã£®
·ÖÎö£º£¨1£©¸ù¾Ý½â¾ö¶à±ßÐÎÎÊÌâµÄ»ù±¾Ë¼ÏëÇó½â£»
£¨2£©ÈôÔÚn±ßÐεÄÒ»±ßÉÏ»òÍⲿÈÎÈ¡Ò»µãO£¬²¢°ÑOÓë¸÷¶¥µãÁ¬½ÓÆðÀ´£¬ÄÇô¹²¹¹³É£¨n-1£©¸öÈý½ÇÐΣ¬´Ën±ßÐεÄÄڽǺÍΪÕ⣨n-1£©¸öÈý½ÇÐεÄÄڽǺͼõÈ¥180¡ã£¬´Ó¶øµÃ³ö½áÂÛ£®
µãÆÀ£º±¾ÌâÖ÷Òª¿¼²éÁËn±ßÐεÄÄڽǺͶ¨ÀíµÄÍƵ¼£¬ÌåÏÖÁËÊýѧÖеĻ¯¹é˼Ï룮
Á·Ï°²áϵÁдð°¸
Ïà¹ØÏ°Ìâ

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÔĶÁÀí½â

24¡¢ÔĶÁÏÂÁвÄÁÏ£¬È»ºó»Ø´ðÎĺóÎÊÌ⣮
Èçͼ£¬ÔÚn±ßÐÎÄÚÈÎÈ¡Ò»µãO£¬²¢°ÑOÓë¸÷¶¥µãÁ¬½ÓÆðÀ´£¬¹²¹¹³Én¸öÈý½ÇÐΣ¬Õân¸öÈý½ÇÐεÄÄڽǺÍΪn•180¡ã£¬ÔÙ¼õÈ¥ÒÔµãOΪ¶¥µãµÄÒ»¸öÖܽǣ¬¾Í¿ÉÒԵõ½n±ßÐεÄÄڽǺÍΪ£¨n-2£©•180¡ã£®
»Ø´ð£º
£¨1£©ÕâÖÖ·½·¨Êǽ«
¶à±ßÐÎ
ÎÊÌâת»¯Îª
Èý½ÇÐÎ
ÎÊÌâÀ´½â¾öµÄ£¬ÕâÖÖת»¯ÊÇ
»¯¹é
˼ÏëµÄÌåÏÖ£¬Ò²ÕýÊǽâ¾ö
¶à±ßÐÎ
ÎÊÌâµÄ»ù±¾Ë¼Ï룻
£¨2£©ÈôÔÚn±ßÐεÄÒ»±ßÉÏ»òÍⲿÈÎÈ¡Ò»µãO£¬²¢°ÑOÓë¸÷¶¥µãÁ¬½ÓÆðÀ´£¬ÄÇôÈçºÎ˵Ã÷n±ßÐεÄÄڽǺÍΪ£¨n-2£©•180¡ã£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

ÔĶÁÏÂÁвÄÁÏ£¬È»ºó»Ø´ðÎÊÌ⣮
ÔÚ½øÐжþ´Î¸ùʽÔËËãʱ£¬ÐÎÈç
2
3
-1
Ò»ÑùµÄʽ×Ó£¬ÎÒÃÇ¿ÉÒÔ½«Æä½øÒ»²½»¯¼ò£º
2
3
-1
=
2¡Á(
3
+1)
(
3
-1)(
3
+1)
=
2(
3
+1)
3-1
=
3
+1

ÒÔÉÏÕâÖÖ»¯¼òµÄ²½Öè½Ð×ö·ÖĸÓÐÀí»¯£®
£¨1£©ÇëÓÃÉÏÊöµÄ·½·¨»¯¼ò
2
5
-
3
£»
£¨2£©»¯¼ò£º
4
2
+2
+
4
2+
6
+
4
6
+
8
+
¡­+
4
2n
+
2n+2
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£ºÔĶÁÀí½â

ÔĶÁÏÂÁвÄÁÏ£¬È»ºó»Ø´ðÎÊÌ⣮
ÔÚ½øÐжþ´Î¸ùʽ¼ÆËãʱ£¬ÎÒÃÇÓÐʱ»áÅöµ½Èç
5
3
£¬
2
3
£¬
2
3
+1
Ò»ÑùµÄʽ×Ó£¬ÆäʵÎÒÃÇ»¹¿ÉÒÔ½«Æä½øÒ»²½¼ò»¯£º
5
3
=
5¡Á
3
3
¡Á
3
=
5
3
3
          ¢Ù
2
3
=
2¡Á3
3¡Á3
=
6
3
             ¢Ú
2
3
+1
=
2(
3
-1)
(
3
+1)(
3
-1)
=
2(
3
-1)
(
3
)
2
-
1
2
 
=
2(
3
-1)
2
=
3
-1
      ¢Û
ÒÔÉÏÕâÖÖ»¯¼òµÄ²½Öè½Ð×ö·ÖĸÓÐÀí»¯£¬
2
3
+1
»¹¿ÉÒÔÓÃÒÔÏ·½·¨»¯¼ò£º
2
3
+1
=
3-1
3
+1
=
(
3
)
2
-12
3
+1
=
3
-1
     ¢Ü
£¨1£©ÇëÓò»Í¬µÄ·½·¨»¯¼ò£º
2
7
+
5

²ÎÕÕ¢Ûʽ·½·¨»¯¼ò¹ý³ÌΪ£º
²ÎÕÕ¢Üʽ·½·¨»¯¼ò¹ý³ÌΪ£º
£¨2£©»¯¼ò£º
2
3
+1
+
2
5
+
3
+
2
7
+
5
+¡­+
2
2n+1
+
2n-1
£®

²é¿´´ð°¸ºÍ½âÎö>>

¿ÆÄ¿£º³õÖÐÊýѧ À´Ô´£º ÌâÐÍ£º

£¨2012•ÏãÖÞÇøһģ£©ÔĶÁÏÂÁвÄÁÏ£¬È»ºó»Ø´ðÎÊÌ⣺
ÔÚ½øÐÐÀàËÆÓÚ¶þ´Î¸ùʽ
2
3
+1
µÄÔËËãʱ£¬Í¨³£ÓÐÈçÏÂÁ½ÖÖ·½·¨½«Æä½øÒ»²½»¯¼ò£º
·½·¨Ò»£º
2
3
+1
=
2(
3
-1)
(
3
+1)(
3
-1) 
=
2(
3
-1)
(
3
)
2
- 1
=
3
-1

·½·¨¶þ£º
2
3
-1
=
3-1
3
+1
=
(
3
)
2
-1
3
+1
=
(
3
+1)(
3
-1) 
3
+1
=
3
-1

£¨1£©ÇëÓÃÁ½ÖÖ²»Í¬µÄ·½·¨»¯¼ò£º
2
5
+
3
 
£»
£¨2£©»¯¼ò£º
1
4
+
2
+
1
6
+
4
1
8
+
6
+¡­+
1
2012
+
2010
£®

²é¿´´ð°¸ºÍ½âÎö>>

ͬ²½Á·Ï°²á´ð°¸