若函數(shù)y=(log1/2a)x在R上是減函數(shù),則實數(shù) a取值集合是_.
若函數(shù)
y=(loga)x在R上是減函數(shù),則實數(shù) a取值集合是______.
數(shù)學人氣:782 ℃時間:2019-08-18 23:46:24
優(yōu)質(zhì)解答
∵函數(shù)
y=(loga)x在R上是減函數(shù),
∴
0<loga<1,
∴
log1<loga<log,
∴
<a<1,
∴實數(shù)a取值集合是
(,1).
故答案為:
(,1).
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