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设函数f(x)=+log2,定义Sn=f()+f()+…+f(),其中,n∈N+,n≥2,...
试题详情
设函数f(x)=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKVJREFU
OE/dU9ENhTAIxJVZh02YgylYAqGNlVptNO/FD0mapskB1+NYzANmEYBZwH2AsiGgsfYptYJQ8PBz
Bagoo48DikihQz0ku1gPpL4Yyh8qbMTO7mKm+374jWQzjAuFbNlUYKFiky5M46AkJahIl6GMXZXx
F9EuVziSF5oNq+NTU1MLNUZyb5/tRVmNcSdahWCeTRKLtL0hSI2D2lu9NqyJKVYckNqVrS3EAwAA
AABJRU5ErkJggg==
)
+log
2![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABoAAAAjCAYAAACKPxqrAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAPRJREFU
SEvtlesNwyAMhOnKXodNmIMpWMK1QdAiteR4/ohiKUoikXw6v+7FEuZEKOhEmBOQmLUHNJqBduq8
1Y5kQ45DJHi21TuOBWoU2BGxCwqxghoLAMQcHImycQjedcExlfRtVORFERlN3xgEUqRps1IYb028
y0O6d8bfGumPteMoy8gdOEJ5NkNnWarj0BzNAPK3anlpzWy8oPZeoebuIN1nk2umlebUdXnqt4OK
qc0tzmtFo6AOB/4aWHXQWlFerD9nrCxXzIGbIHSGEAdeAhKvv3TgJSDEgadBqAMnUBzWz2JFTLTX
gc/ZBNpZs+fup+gN8rL3xgJGkFcAAAAASUVORK5CYII=
)
,定义S
n=f(
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAjCAYAAACgj+sEAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAK5JREFU
OE/tVNsNBCEI9FqmHTqhDquwCc6R9XIGNrtmX8nlSIw/zuDAwEtrpJkAYCbSzOP2GwcoopRIpcRU
IyAz9NSzF9BIs/IfMJY3aNxMlVrT0Ac7nH3zTrDGhrluyNAF7rljez+v4fiIXqABZvv2TlGhTS8B
xHWa8dgWQBFSClaHWQMuJVHhvi0sy6pbwTbYeSGIVlPN4NnWvmPWcGxdR1aJNDi2z9ShCL85cW/e
wOv/veReewAAAABJRU5ErkJggg==
)
)+f(
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAAjCAYAAACgj+sEAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAOxJREFU
OE/NVMENBCEI9Fq2HTuhDqqwCc6RVQ/Fy5pLNmfiYzcMzODAS8oJJweAkxNOgisbA+AEenojSXay
DUAmiYmvEJYEUP8eyA7IzCZjpuhW2WsAvW8VZrqcgjjxk+iGMnpsKodSFopJmvy58gLgFIW8fl5I
A0BnDO8ifNbRARDZH609Xlip/WiNG8Z6oMIq1BOv/1Z7/4eGGyxMyANtlWLkOr/lqtFg789vdx4A
gtEQrPaGc6Pjc9WACStrhfosaJXtiNYN0SmNBJu9tGbb0VFrXHRGtqaDhTwNSzYkqF3zF8EjD3fm
pmNKb26f41Jh+xBoAAAAAElFTkSuQmCC
)
)+…+f(
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAjCAYAAAB/wZEbAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAARlJREFU
SEvtlusNwyAMhOnKrMMmniNTsITLYWgegAtNUFQpSFF+xPo4zsbOi8Mysxbgs5aZBY6OXAL3xNZY
Jr+nnYcvDjkLzwx4FLuwq8PxATu7EII4UWKPZ1T9a8LTzpbYA+zCFvndnRANHmCWiB3AUbwox1v8
rDwpVvZX4AJJtrBnsmVy9EOonm9gKCtY1G2JpvwA82QHk6nAj7Dsc3e1xAu05mSbivOXSLHvgVfN
wZhoX5QT365ruY2kPgmtJ3SohQwG3+F5nk6GpVegDUvJ7tr4l5MoyrEBevza30c7ZhueWjG53OtF
/SXKoXJnww9DpKG8VDlqSfv6Fyqz7wvTwC9HVXmh8jNt8hDvK/g76rxP2beo/1X+BnWDX0XALhYc
AAAAAElFTkSuQmCC
)
),其中,n∈N
+,n≥2,则S
n=( )
A.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAjCAYAAADmOUiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
B.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAASVJREFU
SEvtltENwyAMROnKrMMmzMEULOFyEEgIAWMVvhpLkVrF4dlnsPlQMLXTANhpaufiUZ1lAG9JK03W
1yuuATiDOoZnFyAG7cg8A/ACdEXGwdGT1df/syJ2AZluQgxYPKXprSYdfjiTYI9PiuiwEQAF0pas
yRqmLKrv2UQGAER7SgSVEvC2IRhEF9BGm+Vhg64ceoAm2lwHR/a+qYfEDqCJNh4YFBVFn7TyTbv7
1hy0QRwvgC0SRk3/pP74bm277uTyL0UuAyXUS9ijeIlwSktbPWaHoM2yAO8wJU6LnVeQBQtoNgfk
WpnBHYAJJ1hfeG2p6sEe4uggkAhzQtDCD/40wJV5PRd59poCYOfUFwgzXQcW8HxtmZeKBcgEab1f
AKvgF3d54IfEcOtWAAAAAElFTkSuQmCC
)
-log
2(n-1)
C.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAASVJREFU
SEvtltENwyAMROnKrMMmzMEULOFyEEgIAWMVvhpLkVrF4dlnsPlQMLXTANhpaufiUZ1lAG9JK03W
1yuuATiDOoZnFyAG7cg8A/ACdEXGwdGT1df/syJ2AZluQgxYPKXprSYdfjiTYI9PiuiwEQAF0pas
yRqmLKrv2UQGAER7SgSVEvC2IRhEF9BGm+Vhg64ceoAm2lwHR/a+qYfEDqCJNh4YFBVFn7TyTbv7
1hy0QRwvgC0SRk3/pP74bm277uTyL0UuAyXUS9ijeIlwSktbPWaHoM2yAO8wJU6LnVeQBQtoNgfk
WpnBHYAJJ1hfeG2p6sEe4uggkAhzQtDCD/40wJV5PRd59poCYOfUFwgzXQcW8HxtmZeKBcgEab1f
AKvgF3d54IfEcOtWAAAAAElFTkSuQmCC
)
D.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAASVJREFU
SEvtltENwyAMROnKrMMmzMEULOFyEEgIAWMVvhpLkVrF4dlnsPlQMLXTANhpaufiUZ1lAG9JK03W
1yuuATiDOoZnFyAG7cg8A/ACdEXGwdGT1df/syJ2AZluQgxYPKXprSYdfjiTYI9PiuiwEQAF0pas
yRqmLKrv2UQGAER7SgSVEvC2IRhEF9BGm+Vhg64ceoAm2lwHR/a+qYfEDqCJNh4YFBVFn7TyTbv7
1hy0QRwvgC0SRk3/pP74bm277uTyL0UuAyXUS9ijeIlwSktbPWaHoM2yAO8wJU6LnVeQBQtoNgfk
WpnBHYAJJ1hfeG2p6sEe4uggkAhzQtDCD/40wJV5PRd59poCYOfUFwgzXQcW8HxtmZeKBcgEab1f
AKvgF3d54IfEcOtWAAAAAElFTkSuQmCC
)
+log
2(n-1)
相关试题
-
设函数f(x)=
+log2
,定义Sn=f(
)+f(
)+…+f(
),其中,n∈N+,n≥2,则Sn=( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACgAAAAjCAYAAADmOUiuAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
B.
-log2(n-1)
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAASVJREFU
SEvtltENwyAMROnKrMMmzMEULOFyEEgIAWMVvhpLkVrF4dlnsPlQMLXTANhpaufiUZ1lAG9JK03W
1yuuATiDOoZnFyAG7cg8A/ACdEXGwdGT1df/syJ2AZluQgxYPKXprSYdfjiTYI9PiuiwEQAF0pas
yRqmLKrv2UQGAER7SgSVEvC2IRhEF9BGm+Vhg64ceoAm2lwHR/a+qYfEDqCJNh4YFBVFn7TyTbv7
1hy0QRwvgC0SRk3/pP74bm277uTyL0UuAyXUS9ijeIlwSktbPWaHoM2yAO8wJU6LnVeQBQtoNgfk
WpnBHYAJJ1hfeG2p6sEe4uggkAhzQtDCD/40wJV5PRd59poCYOfUFwgzXQcW8HxtmZeKBcgEab1f
AKvgF3d54IfEcOtWAAAAAElFTkSuQmCC
)
D.
+log2(n-1)
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