(1)mb=(-m,2m),nc=(4n,n)
mb+nc=(4n-m,n+2m)
于是3=4n-m,2=n+2m
解得n=8/9,m=5/9
(2)a+kc=(4k+3,k+2),2b-a=(-5,2)
(a+kc)平行(2b-a),于是2(4k+3)=-5(k+2)
解得k=-16/13
(3)设d=(x,y)
d-c=(x-4,y-1),a+b=(2,4),|d-c|=√[(x-4)²+(y-1)²]=√5
(d-c)平行(a+b),即4(x-4)=2(y-1)
解得x=3,y=-1或x=5,y=3
于是d=(3,-1)或(5,3)