4x^2+9y^2=36 即x^2/9+y^2/4=1 令x=3cos k, y=2sin k △面積為(1/2)A，其中A為 │2...4...3cos k....2│ │-4..0...2sin k....-4│ =│4sin k - 12cos k +16│ =√160 sin(k-θ)+16 =4√10 sin(k-θ)+16 所以△面積=(1/2)A=2√10 sin(k-θ)+8
所以最大值為 8+2√10 最小值為 8-2√10
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