搂
3.1.2
鐢ㄤ簩鍒嗘硶姹傛柟绋嬬殑杩戜技瑙ｆ暀妗?/p>
銆愭暀瀛︾洰鏍囥�?/p>
1.
鏍规嵁鍏蜂綋鍑芥暟鍥捐薄锛岃兘澶熷�熷姪璁＄畻鍣ㄧ敤浜屽垎娉曟眰鐩稿簲鏂圭▼鐨勮繎浼艰В锛?/p>
2.
閫氳繃鐢ㄤ簩鍒嗘硶姹傛柟绋嬬殑杩戜技瑙ｏ紝浣垮鐢熶綋浼氬嚱鏁伴浂鐐逛笌鏂圭▼鏍逛箣闂寸殑鑱旂郴锛屽垵姝ュ舰鎴?/p>
鐢ㄥ嚱鏁拌鐐瑰鐞嗛棶棰樼殑鎰忚瘑
.
銆愭暀瀛﹂噸闅剧偣銆?/p>
鏁欏閲嶇偣锛氶�氳繃鐢ㄤ簩鍒嗘硶姹傛柟绋嬬殑杩戜技瑙ｏ紝浣撲細鍑芥暟鐨勯浂鐐逛笌鏂圭▼鏍逛箣闂寸殑鑱旂郴锛屽垵姝?/p>
褰㈡垚鐢ㄥ嚱鏁拌鐐瑰鐞嗛棶棰樼殑鎰忚瘑锛?/p>
鏁欏闅剧偣锛氱簿纭害姒傚康鐨勭悊瑙ｏ紝姹傛柟绋嬭繎浼艰В涓�鑸楠ょ殑姒傛嫭鍜岀悊瑙?/p>
銆愭暀瀛﹁繃绋嬨�?/p>
(
涓�
)
棰勪範妫�鏌ャ�佹�荤粨鐤戞儜
妫�鏌ヨ惤瀹炰簡瀛︾敓鐨勯涔犳儏鍐靛苟浜嗚В浜嗗鐢熺殑鐤戞儜锛屼娇鏁欏鍏锋湁浜嗛拡瀵规�с�?/p>
锛堜簩锛夋儏鏅鍏ャ�佸睍绀虹洰鏍囥�?/p>
鎺㈢┒浠诲姟
锛?/p>
浜屽垎娉曠殑鎬濇兂鍙婃楠?/p>
闂
锛氭湁
12
涓皬鐞冿紝璐ㄩ噺鍧囧寑锛屽彧鏈変竴涓槸姣斿埆鐨勭悆閲嶇殑锛屼綘鐢ㄥぉ骞崇О鍑犳鍙互鎵惧嚭杩?/p>
涓悆鐨勶紝瑕佹眰娆℃暟瓒婂皯瓒婂ソ
,
瑙ｆ硶锛?/p>
绗竴娆★紝涓ょ鍚勬斁
涓悆锛屼綆鐨勯偅涓�绔竴瀹氭湁閲嶇悆锛?/p>
绗簩娆★紝涓ょ鍚勬斁
涓悆锛屼綆鐨勯偅涓�绔竴瀹氭湁閲嶇悆锛?/p>
绗笁娆★紝涓ょ鍚勬斁
涓悆锛屽鏋滃钩琛★紝鍓╀笅鐨勫氨鏄噸鐞冿紝鍚﹀垯锛屼綆鐨勫氨鏄噸鐞?/p>
.
鎬濊�?/p>
锛?/p>
浠ヤ笂鐨勬柟娉曞叾瀹炶繖灏辨槸涓�绉嶄簩鍒嗘硶鐨勬�濇兂锛?/p>
閲囩敤绫讳技鐨勬柟娉曪紝
濡備綍姹?/p>
ln
2
6
y
x
x
飥?/p>
飥?/p>
飥?/p>
鐨勯浂鐐规墍鍦ㄥ尯闂达紵濡備綍鎵惧嚭杩欎釜闆剁偣锛?/p>
鏂扮煡
锛氬浜庡湪鍖洪棿
[
,
]
a
b
涓婅繛缁笉鏂笖
(
)
(
)
f
a
f
b
<0
鐨勫嚱鏁?/p>
(
)
y
f
x
飥?/p>
锛岄�氳繃涓嶆柇鐨勬妸鍑芥暟鐨勯浂
鐐规墍鍦ㄧ殑鍖洪棿涓�鍒嗕负浜岋紝浣垮尯闂寸殑涓や釜绔偣閫愭閫艰繎闆剁偣锛岃繘鑰屽緱鍒伴浂鐐硅繎浼煎�肩殑鏂规硶鍙?/p>
浜?/p>
鍒嗘硶
(bisection).
鍙嶆�?/p>
锛?/p>
缁欏畾绮惧害蔚锛岀敤浜屽垎娉曟眰鍑芥暟
(
)
f
x
鐨勯浂鐐硅繎浼煎�肩殑姝ラ濡備綍鍛紵
鈶犵‘瀹氬尯闂?/p>
[
,
]
a
b
锛岄獙璇?/p>
(
)
(
)
0
f
a
f
b
飥?/p>
锛岀粰瀹氱簿搴ξ碉紱
鈶℃眰鍖洪棿
(
,
)
a
b
鐨勪腑鐐?/p>
1
x
锛?/p>
鈶㈣绠?/p>
1
(
)
f
x
锛?/p>
鑻?/p>
1
(
)
0
f
x
飥?/p>
锛屽垯
1
x
灏辨槸鍑芥暟鐨勯浂鐐癸紱
鑻?/p>
1
(
)
(
)
0
f
a
f
x
飥?/p>
锛屽垯浠?/p>
1
b
x
飥?/p>
锛堟
鏃堕浂鐐?/p>
0
1
(
,
)
x
a
x
飪?/p>
锛?/p>
锛?/p>
鑻?/p>
1
(
)
(
)
0
f
x
f
b
飥?/p>
锛屽垯浠?/p>
1
a
x
飥?/p>
锛堟鏃堕浂鐐?/p>
0
1
(
,
)
x
x
b
飪?/p>
锛?/p>
锛?/p>
鈶ｅ垽鏂槸鍚﹁揪鍒扮簿搴ξ碉紱鍗宠嫢
|
|
a
b
飦?/p>
飥?/p>
飥?/p>
锛屽垯寰楀埌闆剁偣闆剁偣鍊?/p>
a
锛堟垨
b
锛?/p>
锛涘惁鍒欓噸澶嶆楠も憽
~
鈶ｏ紟
锛堜笁锛夊吀鍨嬩緥棰?/p>
渚?/p>
1
鍊熷姪璁＄畻鍣ㄦ垨璁＄畻鏈猴紝鍒╃敤浜屽垎娉曟眰鏂圭▼
2
3
7
x
x
飥?/p>
飥?/p>
鐨勮繎浼艰В
.
瑙ｆ瀽锛氬浣曡繘涓�姝ユ湁鏁堢殑缂╁皬鏍规墍鍦ㄧ殑鍖洪棿銆?/p>
瑙ｏ細
鍘熸柟绋嬪嵆涓?/p>
0
7
3
2
飥?/p>
飥?/p>
飥?/p>
x
x
锛?/p>
浠?/p>
7
3
2
)
(
飥?/p>
飥?/p>
飥?/p>
x
x
f
x
锛?/p>
鐢ㄨ绠楀櫒鎴栬绠楁満浣滃嚭瀵瑰簲鐨?/p>
琛ㄦ牸涓庡浘璞★紙瑙佽鏈?/p>
90
椤碉級
鍒?/p>
0
)
1
(
)
2
(
飥?/p>
f
f
锛岃鏄庡湪鍖洪棿
)
2
,
1
(
鍐呮湁闆剁偣
0
x
锛?/p>
鍙栧尯闂?/p>
)
2
,
1
(
鐨勪腑鐐?/p>
5
.
1
锛岀敤璁℃暟鍣ㄨ绠楀緱
33
.
0
)
5
.
1
(
飩?/p>
f
锛屽洜涓?/p>
0
)
5
.
1
(
)
1
(
飥?/p>
f
f
锛屾墍浠?
)
5
.
1
,
1
(
0
飪?/p>
x
.
鍐嶅彇鍖洪棿
)
5
.
1
,
1
(
鐨勪腑鐐?/p>
25
.
1
锛岀敤璁℃暟鍣ㄨ绠楀緱
87
.
0
)
25
.
1
(
飥?/p>
飩?/p>
f
锛屽洜涓?/p>
0
)
5
.
1
(
)
1
(
飥?/p>
f
f
锛?/p>
鎵�浠?/p>
)
5
.
1
,
25
.
1
(
0
飪?/p>
x
.
鍚岀悊鍙緱
)
5
.
1
,
375
.
1
(
0
飪?/p>
x
)
4375
.
1
,
375
.
1
(
0
飪?/p>
x