因x^2+4y^2=1,故可设x=cosa,2y=sina.则z=3x+4y=3cosa+2sina=(√13){[3/(√13)]cosa+[2/(√13)]sina}=(√13)sin(a+t).[注:sint=3/(√13),cost=2/(√13)]====>z=3x+4y=(√13)sin(a+t).===>(3x+4y)min=-√13....