1.
璁＄畻鏇茬嚎绉垎
锛屽叾涓?/p>
鏄笂鍗婂渾鍛?
涓婄敱
鍒?
鐨勪竴娈靛姬銆?/p>
绛旀
:
杩欎釜鍙互琛ヤ笂
y=0
澶勭殑绾挎
L1
锛?/p>
0<=x<=4
锛岀劧鍚庡湪闂尯鍩熶笂鐢ㄦ牸鏋楀叕寮忥紝
璁惧崐鍦嗗懆涓?/p>
L
锛?/p>
P=y+2xy
锛?/p>
Q=x^2+2x+y^2
鎵�浠?/p>
Q'x-P'y=(2x+2)-(1+2x)=1
鍘熺Н鍒?/p>
=鈭獿 (Pdx+Qdy)
=鈭獿+L1
(Pdx+Qdy)
-
鈭獿1 (Pdx+Qdy)
=鈭埆(Q'
-P'y)dxdy -0
=鈭埆dxdy
=2蟺
2.
璁?/p>
绠?/p>
鏇?/p>
绾?/p>
绉?/p>
鍒?
锛?/p>
鍏?/p>
涓?
鏄?/p>
浠?/p>
鐐?
娌?
鍒扮偣
鐨勪竴娈靛姬銆?/p>
3.
璁炬洸绾跨Н鍒?/p>
涓庤矾寰勬棤鍏筹紝鍏朵腑
鍏锋湁杩炵画
鐨勫鏁帮紝涓?/p>
锛岃绠?
銆?/p>
4.
璁＄畻鏇查潰绉垎
锛屽叾涓?/p>
涓洪敟闈?
锛?
鐨勪笅渚с�?/p>
5.
璁?/p>
绠?/p>
鏇?/p>
闈?/p>
绉?/p>
鍒?
锛?/p>
鍏?/p>
涓?
涓?/p>
鍗?/p>
鐞?/p>
闈?
鐨勪笂渚с�?/p>
6.
璁?/p>
绠?/p>
鏇?/p>
绾?/p>
绉?/p>
鍒?
锛?/p>
鍏?/p>
涓?/p>
涓?/p>
鍖?/p>
鍩?