若α,β满足-π2<α<β<π2,则α-2β的取值范围是______.-数学

题目简介

若α,β满足-π2<α<β<π2,则α-2β的取值范围是______.-数学

题目详情

若α,β满足-
π
2
<α<β<
π
2
,则α-2β的取值范围是______.
题型:填空题难度:中档来源:不详

答案

因为α,β满足-class="stub"π
2
<α<β<class="stub"π
2
,-π<-2β<π,所以-class="stub"3π
2
α-2β<class="stub"3π
2

所以α-2β的取值范围是(-class="stub"3π
2
,class="stub"3π
2
)

故答案为:(-class="stub"3π
2
,class="stub"3π
2
)

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