观察下列等式：(sin(π)/(3))-2+(sin(2π)/(3))-2=(4)/(3)×1×2；(sin(π)/(5))-2+(sin(2π)/(5))-2+(sin(3π)/(5))-2+(sin(4π)/(5))-2=(4)/(3)×2×3；(sin(π)/(7))-2+(sin(2π)/(7))-2+(sin(3π)/(7))-2+⋯+(sin(6π)/(7))-2=(4)/(3)×3×4；(sin(π)/(9))-2+(sin(2π)/(9))-2+(sin(3π)/(9))-2+⋯+(sin(8π)/(9))-2=(4)/(3)×4×5.照此规律，(sin(π)/(2n+1))-2+(sin(2π)/(2n+1))-2+(sin(3π)/(2n+1))-2+⋯+(sin(2nπ)/(2n+1))-2=____________.

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观察下列等式：(sin(π)/(3))^-2+(sin(2π)/(3))^-2=(4)/(3)×1×2；(sin(π)/(5))^-2+(sin(2π)/(5))^-2+(sin(3π)/(5))^-2+(sin(4π)/(5))^-2=(4)/(3)×2×3；(sin(π)/(7))^-2+(sin(2π)/(7))^-2+(sin(3π)/(7))^-2+⋯+(sin(6π)/(7))^-2=(4)/(3)×3×4；(sin(π)/(9))^-2+(sin(2π)/(9))^-2+(sin(3π)/(9))^-2+⋯+(sin(8π)/(9))^-2=(4)/(3)×4×5.照此规律，(sin(π)/(2n+1))^-2+(sin(2π)/(2n+1))^-2+(sin(3π)/(2n+1))^-2+⋯+(sin(2nπ)/(2n+1))^-2=____________.

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[填空题] 已知向量a=(1,-1)，b=(6,-4).若a⊥(t a+ b)，则实数t的值为____________.

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[填空题] 执行如图的程序框图，若输入n的值为3，则输出的S的值为____________.

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高考真题 2016 山东卷数学文科三角函数与解三角形

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