已知点P为椭圆
|
解;设x=
cosθ,y=sinθ,(0<θ<3
)π 2
则x+y=
cosθ+sinθ3
=2(sin
cosθ+cosπ 3
sinθ)π 3
=2sin(θ+
)≤2π 3
(当且仅当θ=
时取等号)π 6
故答案为 2
已知点P为椭圆
|
解;设x=
cosθ,y=sinθ,(0<θ<3
)π 2
则x+y=
cosθ+sinθ3
=2(sin
cosθ+cosπ 3
sinθ)π 3
=2sin(θ+
)≤2π 3
(当且仅当θ=
时取等号)π 6
故答案为 2