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首项为正数的等比数列{an},满足ak-3=8且akak-2==1024.对满足at>12...
试题详情
首项为正数的等比数列{a
n},满足a
k-3=8且a
ka
k-2=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAgCAYAAAD5VeO1AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAE8SURBVEhL1VbbEcMgDPNk7OR1WIZRGMX1AwKE
hKaH81GuvbYJJxQhiQK9OOBFbPoD8IQEAPbGdIixzzxHChVQvvMCIWZdYBs8p0QGZSPHQBCiXtsG
nwwhEr0FLszdZBmZJ8LC2kXzHjwhUvOKo+YiR+dCH7coCm9i1bn+loW23aLWqwE6Pk2ebfBVNy3B
E5ZIAzMR/55FXSHfM88UQ4sxi0rIj/wj9rUswnjYIA5zDIFKZXzh227Pskj5dEEohTFfe7DEBN7H
t1TRSaIHqGXKBD5KYloDiCSZ+LUepXJt/pUVjwkCKn7tF7jHNr+P++Ljcz2Jxl5xKi6zLXJp1aRW
y+4zVxmRM2B9aPJ4xb87eWxHWuD2mU/gRSaPVmQdVBYTRYU50rzPXMG6/yv+B3TNQs2GPYMD8/tg
/S/4Bzv6xDozlNqQAAAAAElFTkSuQmCC
)
=1024.对满足a
t>128的任意正整数t,函数f(t)=
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAjCAYAAACOysqWAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAETSURBVEhL7VbRDYQgDO1k7MQ6XYZRGKVHARG1
bc5cveT0TIwftry+PsoD6OIHLl6fGkCKBADlDYTZF3JlkJFCQHJevzMoRWcMBDHZ5RemekgmxGP+
YJAiGMkd1wDgAiXwDpAoQqSKz62qerQ3zKKIAJy7xu9BVpFH/0vCFMXMFrDjdypK0a8CML1aad1N
PUlSQ2nRyBdyCkARJ0xVWjtJAbD0g9bzXnVlYMyCqoHOGrbbswnWhBW2nQTARbFmCcUhhT29Cnhi
qke8MiBfOot8j5/NajdgoE+pNcHv/eNe3aBFD3M0c148HM0A8HE0EeBKR1sOOONGcs7RlBb5OZoC
4OdoqgZejqZcBP6O9pHf/f5x/QJJx77gPLyV8QAAAABJRU5ErkJggg==
)
的最小值是________.
相关试题
-
首项为正数的等比数列{an},满足ak-3=8且akak-2=
=1024.对满足at>128的任意正整数t,函数f(t)=
的最小值是________.
-
数列{an}满足下列条件:a1=1,且对于任意的正整数n,恒有a2n=an+n,a512=( )
A.128
B.256
C.512
D.1024
-
已知数列{an}满足
,若对任意正整数n,都有an≥ak(k∈N*)成立,则ak的值为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKVJREFU
OE/dU9ENhTAIxJVZh02YgylYAqGNlVptNO/FD0mapskB1+NYzANmEYBZwH2AsiGgsfYptYJQ8PBz
Bagoo48DikihQz0ku1gPpL4Yyh8qbMTO7mKm+374jWQzjAuFbNlUYKFiky5M46AkJahIl6GMXZXx
F9EuVziSF5oNq+NTU1MLNUZyb5/tRVmNcSdahWCeTRKLtL0hSI2D2lu9NqyJKVYckNqVrS3EAwAA
AABJRU5ErkJggg==
)
B.2
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANRJREFU
OE+tU4sNxSAI5K3sOmziHE7hEvcQ/GA1xqQ1MakUjsM7f5BFp1USTovuEnJEICqtZDOSqxKEBKaA
mC2aYwCFiHoEIfEUsAICVxh6VggGYiCECkmCqf1bxZrQ+naSRra3eI65kvQZSzu55f6/TCPQjVyL
d5Lk7sKDXl71QZAPEEzB/VYz3fnhPcnJUcM8lcOs/0as2XLqMOdLnSKxjFl9WL6HefqY1sYbZahp
XkZkBmvSluQIaruJg47oq2bS9eE4J+2maNY30RYOn7zuN2r+Abfnro3dyKATAAAAAElFTkSuQmCC
)
D.
-
已知数列{an}满足
,若对任意正整数n,都有an≥ak(k∈N*)成立,则ak的值为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKVJREFU
OE/dU9ENhTAIxJVZh02YgylYAqGNlVptNO/FD0mapskB1+NYzANmEYBZwH2AsiGgsfYptYJQ8PBz
Bagoo48DikihQz0ku1gPpL4Yyh8qbMTO7mKm+374jWQzjAuFbNlUYKFiky5M46AkJahIl6GMXZXx
F9EuVziSF5oNq+NTU1MLNUZyb5/tRVmNcSdahWCeTRKLtL0hSI2D2lu9NqyJKVYckNqVrS3EAwAA
AABJRU5ErkJggg==
)
B.2
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAANRJREFU
OE+tU4sNxSAI5K3sOmziHE7hEvcQ/GA1xqQ1MakUjsM7f5BFp1USTovuEnJEICqtZDOSqxKEBKaA
mC2aYwCFiHoEIfEUsAICVxh6VggGYiCECkmCqf1bxZrQ+naSRra3eI65kvQZSzu55f6/TCPQjVyL
d5Lk7sKDXl71QZAPEEzB/VYz3fnhPcnJUcM8lcOs/0as2XLqMOdLnSKxjFl9WL6HefqY1sYbZahp
XkZkBmvSluQIaruJg47oq2bS9eE4J+2maNY30RYOn7zuN2r+Abfnro3dyKATAAAAAElFTkSuQmCC
)
D.
-
数列{an}满足下列条件:a1=1,且对于任意的正整数n,恒有a2n=an+n,则a1024=( )
A.1023
B.1024
C.512
D.2048
-
数列{an}满足下列条件:a1=1,且对于任意的正整数n,恒有a2n=an+n,则a1024=( )
A.1023
B.1024
C.512
D.2048
-
函数
,数列{an}满足:
.
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)若
,对任意正整数n,不等式
恒成立,求正数k的取值范围.
-
已知数列{an}是由正数组成的等比数列,Sn是其前n项和.
(1)当首项a1=2,公比q=
时,对任意的正整数k都有
(0<c<2)成立,求c的取值范围;
(2)判断SnSn+2-
的符号,并加以证明;
(3)是否存在正常数m及自然数n,使得lg(Sn-m)+lg(Sn+2-m)=2lg(Sn+1-m)成立?若存在,请求出相应的m,n;若不存在,说明理由.
-
定义:F(x,y)=yx(x>0,y>0),已知数列{an}满足:an=
(n∈N*),若对任意正整数n,都有an≤ak(k∈N*)成立,则ak的值为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACfSURBVDhP3VNBDsAgCOvL+BPf4TM8hacwmZnD
uc2L2WEmxphgi22BTxYWFpg4gVysx6wUyg6g7KeCWuX884JdpNChbtZTrJVePNg6pzgauzsDdI6w
KFEtMEUoEs+hgoeKTboITSlKUsJUuxcm1KGMvwi6jHD9hfKbWV0/9WmiMBfiku27udhHY5yJhhCd
55DEIB13RFOjUSfVZ2a9eL4BYBXpBOX9qe0AAAAASUVORK5CYII=
)
B.2
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAADLSURBVDhPvVPbDcQgDPNk7JR1WIZROooLCY9Q
UPnpXSWkNkpsB7vg4cFHDVdkAAg9wuRgM0WiIDBeVr1iIEJk/SSYZCrYACgVBs+JjMEYwFAhkTGV
v02sDY23izSxneJ5D6tI37HQMW/RnrJNhm7iWrmLhLsLD/qVFy+WninMwf0pwGeEXyRqhKdqmP3f
mDVHThPmcqlbJMlr1hyW9xGevqbR+KAMNy3LjCIUbdqKHEWlmzRoivzULLr+OC5Juy1a9M20RcO7
G39w8wb8cLZuyvQEVQAAAABJRU5ErkJggg==
)
D.
-
定义:F(x,y)=yx(x>0,y>0),已知数列{an}满足:An=
(n∈N+),若对任意正整数n,都有an≥ak(k∈N+)成立,则ak的值为( )
A.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAKVJREFU
OE/dU9ENhTAIxJVZh02YgylYAqGNlVptNO/FD0mapskB1+NYzANmEYBZwH2AsiGgsfYptYJQ8PBz
Bagoo48DikihQz0ku1gPpL4Yyh8qbMTO7mKm+374jWQzjAuFbNlUYKFiky5M46AkJahIl6GMXZXx
F9EuVziSF5oNq+NTU1MLNUZyb5/tRVmNcSdahWCeTRKLtL0hSI2D2lu9NqyJKVYckNqVrS3EAwAA
AABJRU5ErkJggg==
)
B.2
C.![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAjCAYAAACpZEt+AAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAM9JREFU
OE+tk4sNAyEIhunKrMMmznFTuAQFRMVHvaY9EpOL/ry/e7EYnEwFJ4PvBDkxAmgqOcgpdzeJkDkh
MPptTsiASW6LieBiil4XSRSS2yYQCUlo99Jvqq8lglpJozXER0/hAiImE22L7JeWbqjBWoxeY9He
RW9TKl674POgHtnFIcj9NssG9ydM8nOO+xQ/ENVZ2AKzEqWzD4gVwjoXMHvMjEJdVCdphNjatCjT
sKrDMocN9mESzsWGahEZSYGs9l80mkaaa9yndvEPUW8f+q6NxF1iGwAAAABJRU5ErkJggg==
)
D.