帮帮忙求解
1个回答
2016-10-21
展开全部
f(x) = -x(x-a) 在 x∈[-1,1]的最大值。
f(x) = -(x-a/2)²+a²/4 对称轴是:x = a/2
当0<= a <= 2 时 f(x)max = f(a/2) = a²/4
当a>=2时 f(x)max = f(1) = -(1-a)=a-1
当-2<=a<=0 时 f(x)max = f(a/2) = a²/4
当a<=-2时 f(x)max = f(-1)=-1-a
f(x) = -(x-a/2)²+a²/4 对称轴是:x = a/2
当0<= a <= 2 时 f(x)max = f(a/2) = a²/4
当a>=2时 f(x)max = f(1) = -(1-a)=a-1
当-2<=a<=0 时 f(x)max = f(a/2) = a²/4
当a<=-2时 f(x)max = f(-1)=-1-a
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