棰樼洰锛氱涓夌珷鏁板垪
绛夊樊鏁板垪涓庣瓑姣旀暟鍒楃殑鎬ц川鍙婂叾搴旂敤
楂樿�冭姹傦細
(1)
鐞嗚В鏁板垪鐨勬蹇碉紝
浜嗚В鏁板垪閫氶」鍏紡鐨勬剰涔変簡瑙ｉ�掓帹鍏紡鏄粰鍑烘暟鍒?/p>
鐨勪竴绉嶆柟娉曪紝骞惰兘鏍规嵁閫掓帹鍏紡鍐欏嚭鏁板垪鐨勫墠鍑犻」銆?/p>
(2)
鐞嗚В绛夊樊鏁板垪鐨勬蹇碉紝
鎺屾彙绛夊樊鏁板垪鐨勯�氶」鍏紡涓庡墠
n
椤瑰拰鍏紡锛?/p>
骞?/p>
鑳借В鍐崇畝鍗曠殑瀹為檯闂銆?/p>
(3)
鐞嗚В绛夋瘮鏁板垪鐨勬蹇碉紝
鎺屾彙绛夋瘮鏁板垪鐨勯�氶」鍏紡涓庡墠
n
椤瑰拰鍏紡锛?/p>
浜?/p>
鑳借В鍐崇畝鍗曠殑瀹為檯闂銆?/p>
鐭ヨ瘑瑕佺偣锛?/p>
1.
涓�鑸暟鍒楃殑閫氶」
a
n
涓庡墠
n
椤瑰拰
S
n
鐨勫叧绯伙細
a
n
=
飪?/p>
飪?
飪?
飩?/p>
飥?/p>
飥?/p>
飥?/p>
)
2
(
)
1
(
1
1
n
S
S
n
S
n
n
2.
绛夊樊鏁板垪鐨勯�氶」鍏紡锛?/p>
a
n
=
a
1
+(n-1)d
a
n
=
a
k
+(n-k)d
(
鍏朵腑
a
1
涓洪
椤广�?/p>
a
k
涓哄凡鐭ョ殑绗?/p>
k
椤?/p>
)
褰?/p>
d
鈮?/p>
0
鏃讹紝
a
n
鏄叧浜?/p>
n
鐨勪竴娆″紡锛涘綋
d=0
鏃讹紝
a
n
鏄竴涓父鏁般�?/p>
3.
绛夊樊鏁板垪鐨勫墠
n
椤瑰拰鍏紡锛?/p>
S
n
=
d
n
n
na
2
)
1
(
1
飥?/p>
飥?/p>
S
n
=
2
)
(
1
n
a
a
n
飥?/p>
S
n
=
d
n
n
na
n
2
)
1
(
飥?/p>
飥?
褰?/p>
d
鈮?/p>
0
鏃讹紝
S
n
鏄叧浜?/p>
n
鐨勪簩娆″紡涓斿父鏁伴」涓?/p>
0
锛涘綋
d=0
鏃讹紙
a
1
鈮?/p>
0
锛?/p>
锛?/p>
S
n
=na
1
鏄叧浜?/p>
n
鐨勬姣斾緥寮?/p>
4.
绛夊樊鏁板垪鐨勯�氶」
a
n
涓庡墠
n
椤瑰拰
S
n
鐨勫叧绯伙細
a
n
=
1
2
1
2
飥?/p>
飥?/p>
n
S
n
5
锛庣瓑宸腑椤瑰叕寮忥細
A=
2
b
a
飥?/p>
锛堟湁鍞竴鐨勫�硷級
6
锛庣瓑姣旀暟鍒楃殑閫氶」鍏紡锛?/p>
a
n
=
a
1
q
n-1
a
n
=
a
k
q
n-k
(
鍏朵腑
a
1
涓洪椤广�?/p>
a
k
涓哄凡鐭ョ殑绗?/p>
k
椤癸紝
a
n
鈮?/p>
0)
7
锛?/p>
绛夋瘮鏁板垪鐨勫墠
n
椤瑰拰鍏紡锛?/p>
褰?/p>
q=1
鏃讹紝
S
n
=n
a
1
(
鏄叧浜?/p>
n
鐨勬姣斾緥寮?/p>
)
锛?/p>
褰?/p>
q鈮?
鏃讹紝
S
n
=
q
q
a
n
飥?/p>
飥?/p>
1
)
1
(
1
S
n
=
q
q
a
a
n
飥?/p>
飥?/p>
1
1
8
锛庣瓑姣斾腑椤瑰叕寮忥細
G=
ab
飩?/p>
锛?/p>
ab
>0
锛屾湁涓や釜鍊硷級
9
锛?/p>
绛夊樊鏁板垪
{
a
n
}
鐨勪换鎰忚繛缁?/p>
m
椤圭殑鍜屾瀯鎴愮殑鏁板垪
S
m
銆?/p>
S
2m
-S
m
銆?/p>
S
3m
-S
2m
銆?/p>
S
4m
- S
3m
銆佲�︹�︿粛涓虹瓑宸暟鍒椼�?/p>