若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/14 19:06:25
若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.若P(x,y)满足x

若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.
若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.

若P(x,y)满足x2/4+y2=1,(y大于等于0),求y-3/x-4的最大值和最小值.
设x=2cost,y=sint
m=(y-3)/(x-4)=(sint-3)/(2cost-4)
2mcost-4m=sint-3
2mcost-sint= 4m-3
√(4m^2+1)*[2m/√(4m^2+1) *cost-1/√(4m^2+1)*sint]=4m-3
令2m/√(4m^2+1)=sinu,1/√(4m^2+1)=cosu
所以√(4m^2+1)*(sinucost-cosusint)=4m-3
√(4m^2+1)*sin(u-t)=4m-3
sin(u-t)(4m-3)/√(4m^2+1)
|sin(u-t)|