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y=cos(2x-1/2)-cos(x-1/4)的值域是?
人气:328 ℃ 时间:2020-06-04 04:04:38
解答
y=cos(2x-1/2)-cos(x-1/4)=cos2(x-1/4)-cos(x-1/4)=2[cos(x-1/4)]^2-cos(x-1/4)-1令cos(x-1/4)=n则原式为2n^2-n-1=2(n-1/4)^2-9/8 -1≤n≤1 -5/4≤n-1/4≤3/4 0≤ (n-1/4)^2≤25/16 0 ≤2(n-1/4)^2≤25/8 -9/8≤2(n-...
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