(浙江专用)2020版高考数学大一轮复习课时42.2函数的单调性与最值教师备用题库.docx

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12.2 函数的单调性与最值教师专用真题精编(2018 课标全国,10,5 分)若 f(x)=cosx-sinx在-a,a是减函数,则 a的最大值是( )A. B.4 2C. D.34答案 A 本题主要考查三角函数的图象和性质.f(x)=cosx-sinx= cos ,2 (x+4)由题意得 a0,故-a+ 0, 4所以 a的最大值是 ,故选 A.4

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