所有的冪函數(shù)在上都有意義.且都過點(diǎn)(1,1) 查看更多

 

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以下結(jié)論正確的有    (寫出所有正確結(jié)論的序號)
①函數(shù)在(-∞,0)∪(0,+∞)上是減函數(shù);
②對于函數(shù)f(x)=-x2+1,當(dāng)x1≠x2時(shí),都有;
③已知冪函數(shù)的圖象過點(diǎn),則當(dāng)x>1時(shí),該函數(shù)的圖象始終在直線y=x的下方;
④奇函數(shù)的圖象必過坐標(biāo)原點(diǎn);
⑤函數(shù)f(x)對任意實(shí)數(shù)x,y,都有f(x+y)=f(x)+f(y)-1,且當(dāng)x<0時(shí),f(x)<1,則f(x)在R上為增函數(shù).

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以下結(jié)論正確的有
②③⑤
②③⑤
(寫出所有正確結(jié)論的序號)
①函數(shù)y=
1
x
在(-∞,0)∪(0,+∞)上是減函數(shù);
②對于函數(shù)f(x)=-x2+1,當(dāng)x1≠x2時(shí),都有
f(x1)+f(x2)
2
<f(
x1+x2
2
)

③已知冪函數(shù)的圖象過點(diǎn)(2,2
3
5
)
,則當(dāng)x>1時(shí),該函數(shù)的圖象始終在直線y=x的下方;
④奇函數(shù)的圖象必過坐標(biāo)原點(diǎn);
⑤函數(shù)f(x)對任意實(shí)數(shù)x,y,都有f(x+y)=f(x)+f(y)-1,且當(dāng)x<0時(shí),f(x)<1,則f(x)在R上為增函數(shù).

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以下結(jié)論正確的有______(寫出所有正確結(jié)論的序號)
①函數(shù)y=
1
x
在(-∞,0)∪(0,+∞)上是減函數(shù);
②對于函數(shù)f(x)=-x2+1,當(dāng)x1≠x2時(shí),都有
f(x1)+f(x2)
2
<f(
x1+x2
2
)

③已知冪函數(shù)的圖象過點(diǎn)(2,2
3
5
)
,則當(dāng)x>1時(shí),該函數(shù)的圖象始終在直線y=x的下方;
④奇函數(shù)的圖象必過坐標(biāo)原點(diǎn);
⑤函數(shù)f(x)對任意實(shí)數(shù)x,y,都有f(x+y)=f(x)+f(y)-1,且當(dāng)x<0時(shí),f(x)<1,則f(x)在R上為增函數(shù).

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