⑩天掌 Teaching Plan on Advanced Mathematics o 对坐标的曲线积分的概念与性质 实例:变力沿曲线所作的功 B L:A→>B, M L F(,y)=P(x, y)i+e(x, y)j M M 常力所作的功W=F.AB 分割A=Mn,M(x,y)…,M、(x1,yn),Mn=B M1M1=(Ax1)i+(4y;)j 7iauie Palytecaeie Maiden uiy M taTianjin Polytechnic University Teaching Plan on Advanced Mathematics o x y A B L Mn−1 Mi Mi−1 M2 M1 xi i y 实例: 变力沿曲线所作的功 L: A → B, F x y P x y i Q x y j   ( , ) = ( , ) + ( , ) 常力所作的功 分割 , ( , ), , ( , ), . A = M0 M1 x1 y1  M n−1 x n−1 yn−1 M n = B ( ) ( ) . 1 M M x i y j i i i i   − =  +  W = F  AB. 一、对坐标的曲线积分的概念与性质