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已知函数f(x)=|x-a|+(x>0),若f(x)≥恒成立,则是________.
试题详情
已知函数f(x)=|x-a|+
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAjCAYAAABCU/B9AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALpJREFU
OE/tVMENwzAIdFdmHTZhDqbwEhRIcOuGtERJ1U+RrMjSBc7cwU00WjUMXI1WBTqDDbiTQAOhvk0z
gxmNv54K2JOx4B882lrthgtifV4O8izMSbnfmOWLmeMxn765RX/D+dxYXcc55g5Ilhk1I6k3xv1R
alWwC4ENqQFR4XkMuTuBOm0fOIti9kxKP9cYmVkz7y2X+MHBRsGMzrgaXh/9anynYQaC2FXRmQyZ
7rrrRDlgjkNjdQeJaHB/o3N7rgAAAABJRU5ErkJggg==
)
(x>0),若f(x)≥
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKVJREFU
OE/dU9ENhTAIxJVZh02YgylYAqGNlVptNO/FD0mapskB1+NYzANmEYBZwH2AsiGgsfYptYJQ8PBz
Bagoo48DikihQz0ku1gPpL4Yyh8qbMTO7mKm+374jWQzjAuFbNlUYKFiky5M46AkJahIl6GMXZXx
F9EuVziSF5oNq+NTU1MLNUZyb5/tRVmNcSdahWCeTRKLtL0hSI2D2lu9NqyJKVYckNqVrS3EAwAA
AABJRU5ErkJggg==
)
恒成立,则是________.
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已知函数f(x)=|x-a|+
,
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(2)欲使
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-
已知函数
,若存在a∈(0,π),使得f(x+a)=f(x-a)恒成立,则a的值是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAMZJREFU
OE/FlOENxCAIhbmVWYdNmIMpWIJTQOMpF/+1JE2MfYUHfOnHWsAtuugWcBN4pcdFYgTQOzweZHU3
IEQm7aBM5nfKhsgWryOmcSEMkZBBLVJjjIwuIj9tmXoJGGWxEvUszXSWUG6iPAtzevIsYKMTN56d
jqrPT/y+4o5buZJx/w4qufnhbdtbemo8za0HW7sOTPWHHaFKtI6pwGSDLudVe1pS7UTs+A7pytPB
+Mz3F9+pCErPEfQvlyUXvl/4F9zJ/ALF9k9a19NXMAAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/FU9sNxDAI41ZmHTZhDqZgCQokae/aPPqVQ6oUpZZtwPmYF6wqQKuCFSCVtoPECCA6fHzImm5A
iEz8oEyWd8qGyFZ+lzqNC2EBCRn0QWqMhTFBlKcbU0hAk8UeKFjcdJVQdlA9C3P1lCxgrZM0Xjtt
qvsnvl5xxK27knb/n6h8Gy/Tv63uN765Em9kDPJ1EMuMyWUogjaROwM3BHnILg8DJqH5I+hM/MUI
/Kms5/QS1I/N5vgewqNM6H48HpEAAAAASUVORK5CYII=
)
D.
-
已知函数
,若存在a∈(0,π),使得f(x+a)=f(x-a)恒成立,则a的值是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAMZJREFU
OE/FlOENxCAIhbmVWYdNmIMpWIJTQOMpF/+1JE2MfYUHfOnHWsAtuugWcBN4pcdFYgTQOzweZHU3
IEQm7aBM5nfKhsgWryOmcSEMkZBBLVJjjIwuIj9tmXoJGGWxEvUszXSWUG6iPAtzevIsYKMTN56d
jqrPT/y+4o5buZJx/w4qufnhbdtbemo8za0HW7sOTPWHHaFKtI6pwGSDLudVe1pS7UTs+A7pytPB
+Mz3F9+pCErPEfQvlyUXvl/4F9zJ/ALF9k9a19NXMAAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/FU9sNxDAI41ZmHTZhDqZgCQokae/aPPqVQ6oUpZZtwPmYF6wqQKuCFSCVtoPECCA6fHzImm5A
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qvsnvl5xxK27knb/n6h8Gy/Tv63uN765Em9kDPJ1EMuMyWUogjaROwM3BHnILg8DJqH5I+hM/MUI
/Kms5/QS1I/N5vgewqNM6H48HpEAAAAASUVORK5CYII=
)
D.
-
已知函数
,若存在a∈(0,π),使得f(x+a)=f(x-a)恒成立,则a的值是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAMZJREFU
OE/FlOENxCAIhbmVWYdNmIMpWIJTQOMpF/+1JE2MfYUHfOnHWsAtuugWcBN4pcdFYgTQOzweZHU3
IEQm7aBM5nfKhsgWryOmcSEMkZBBLVJjjIwuIj9tmXoJGGWxEvUszXSWUG6iPAtzevIsYKMTN56d
jqrPT/y+4o5buZJx/w4qufnhbdtbemo8za0HW7sOTPWHHaFKtI6pwGSDLudVe1pS7UTs+A7pytPB
+Mz3F9+pCErPEfQvlyUXvl/4F9zJ/ALF9k9a19NXMAAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/FU9sNxDAI41ZmHTZhDqZgCQokae/aPPqVQ6oUpZZtwPmYF6wqQKuCFSCVtoPECCA6fHzImm5A
iEz8oEyWd8qGyFZ+lzqNC2EBCRn0QWqMhTFBlKcbU0hAk8UeKFjcdJVQdlA9C3P1lCxgrZM0Xjtt
qvsnvl5xxK27knb/n6h8Gy/Tv63uN765Em9kDPJ1EMuMyWUogjaROwM3BHnILg8DJqH5I+hM/MUI
/Kms5/QS1I/N5vgewqNM6H48HpEAAAAASUVORK5CYII=
)
D.
-
已知函数
,若存在a∈(0,π),使得f(x+a)=f(x-a)恒成立,则a的值是( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANJJREFU
OE/FU9sNxDAI41bOOmzCHEyRJSivRGnKXf56SJWi1MImNh/RglMZ6FRwAjjT6yAWBLAJH1+j7mqA
EYX10AnF7zpJayTxO2oKZ2wBYhSoQV2oRUcHoZ+2TkYBg7ZVIOuiopOik4LyzESpybuAjElceE46
WN9/8bPFFrfSknH/n6gswudDptl7CtwOuP+8R8WcT4OrB1FbwmDU8I2xt6Ro6LILcmSoooU1GkEV
mV+7FaCgn9HxjD9Ep8YlwVP4zPX3RVh3LxeiWqlfgXk5vhcoRz5Wn9bxVgAAAABJRU5ErkJggg==
)
B.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAMZJREFU
OE/FlOENxCAIhbmVWYdNmIMpWIJTQOMpF/+1JE2MfYUHfOnHWsAtuugWcBN4pcdFYgTQOzweZHU3
IEQm7aBM5nfKhsgWryOmcSEMkZBBLVJjjIwuIj9tmXoJGGWxEvUszXSWUG6iPAtzevIsYKMTN56d
jqrPT/y+4o5buZJx/w4qufnhbdtbemo8za0HW7sOTPWHHaFKtI6pwGSDLudVe1pS7UTs+A7pytPB
+Mz3F9+pCErPEfQvlyUXvl/4F9zJ/ALF9k9a19NXMAAAAABJRU5ErkJggg==
)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAjCAYAAABGpiBAAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAALtJREFU
OE/FU9sNxDAI41ZmHTZhDqZgCQokae/aPPqVQ6oUpZZtwPmYF6wqQKuCFSCVtoPECCA6fHzImm5A
iEz8oEyWd8qGyFZ+lzqNC2EBCRn0QWqMhTFBlKcbU0hAk8UeKFjcdJVQdlA9C3P1lCxgrZM0Xjtt
qvsnvl5xxK27knb/n6h8Gy/Tv63uN765Em9kDPJ1EMuMyWUogjaROwM3BHnILg8DJqH5I+hM/MUI
/Kms5/QS1I/N5vgewqNM6H48HpEAAAAASUVORK5CYII=
)
D.