(1)計(jì)算
2log52+log53
log510+
1
2
log50.36+
1
3
log58
的值
(2)已知函數(shù)f(x)=x+
1
x
.判斷函數(shù)的奇偶性,并加以證明.
(1)
2log52+log53
log510+
1
2
log50.36+
1
3
log58

=
log54+log53
log510+log50.6+log52

=
log512
log512

=1
(2)函數(shù)是奇函數(shù),
因?yàn)閒(-x)=-x-
1
x
=-(x+
1
x
)=-f(x)
所以函數(shù)是奇函數(shù).
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科目:高中數(shù)學(xué) 來源:同步題 題型:計(jì)算題

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