a-maths~~~~~

2008-06-07 7:52 pm

回答 (1)

2008-06-07 8:05 pm
✔ 最佳答案
let SCR = θ,

so that SR= 2sinθ , CR= 2cosθ

the Area of PQRS=(SR)(QR)=(2sinθ)(4cosθ)=4sin2θ

dA/dθ=8cos2θ

let dA/dθ=0

8cos2θ=0

cos2θ=0

1-2sin^2θ=0

sin^2θ=1/2

θ=45 .

so the max value if the Area = 4sin(2)(45)=4//


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