- 1 -
鍦嗛敟鏇茬嚎
涓�銆佺煡璇嗙粨鏋?/p>
1.
鏂圭▼鐨勬洸绾?/p>
鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝濡傛灉鏌愭洸绾?/p>
C(
鐪嬩綔閫傚悎鏌愮鏉′欢鐨勭偣鐨勯泦鍚堟垨杞ㄨ抗
)
涓婄殑鐐逛笌涓�
涓簩鍏冩柟绋?/p>
f(x,y)=0
鐨勫疄鏁拌В寤虹珛浜嗗涓嬬殑鍏崇郴锛?/p>
(1)
鏇茬嚎涓婄殑鐐圭殑鍧愭爣閮芥槸杩欎釜鏂圭▼鐨勮В锛?/p>
(2)
浠ヨ繖涓柟绋嬬殑瑙ｄ负鍧愭爣鐨勭偣閮芥槸鏇茬嚎涓婄殑鐐?/p>
.
閭ｄ箞杩欎釜鏂圭▼鍙仛鏇茬嚎鐨勬柟绋嬶紱杩欐潯鏇?/p>
绾垮彨鍋氭柟绋嬬殑鏇茬嚎
.
鐐逛笌鏇茬嚎鐨勫叧绯?/p>
鑻ユ洸绾?/p>
C
鐨勬柟绋嬫槸
f(x,y)=0
锛?/p>
鍒欑偣
P
0
(x
0
,y
0
)
鍦ㄦ洸绾?/p>
C
涓?/p>
飪?/p>
f(x
0
,y
0
)=0
锛?/p>
鐐?/p>
P
0
(x
0
,y
0
)
涓嶅湪鏇茬嚎
C
涓?/p>
飪?/p>
f(x
0
,y
0
)鈮?
涓ゆ潯鏇茬嚎鐨勪氦鐐?/p>
鑻ユ洸绾?/p>
C
1
锛?/p>
C
2
鐨勬柟绋嬪垎鍒负
f
1
(x,y)=0,f
2
(x,y)=0,
鍒?/p>
f
1
(x
0
,y
0
)=0
鐐?/p>
P
0
(x
0
,y
0
)
鏄?/p>
C
1
锛?/p>
C
2
鐨勪氦鐐?/p>
飪?/p>
f
2
(x
0
,y
0
) =0
鏂圭▼缁勬湁
n
涓笉鍚岀殑瀹炴暟瑙ｏ紝涓ゆ潯鏇茬嚎灏辨湁
n
涓笉鍚岀殑浜ょ偣锛涙柟绋嬬粍娌℃湁瀹炴暟瑙ｏ紝鏇茬嚎
灏辨病鏈?/p>
浜ょ偣
.