視頻BV1Fy4y1S7uj題12.解析
f(x)關于直線x=π/2對稱
且在[-π/2,π/2]單增
故(π-a-π/2)2<(π/2+a-π/2)2
且π-a∈[-π/2,3π/2]
且π/2+a∈[-π/2,3π/2]
即a∈(π/4,π]
ps.
本題考察函數(shù)單調性與對稱性
f(x)關于直線x=π/2對稱
且在[-π/2,π/2]單增
故(π-a-π/2)2<(π/2+a-π/2)2
且π-a∈[-π/2,3π/2]
且π/2+a∈[-π/2,3π/2]
即a∈(π/4,π]
ps.
本題考察函數(shù)單調性與對稱性
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