名校
解题方法
1 . 已知数列
是公比为
的正项等比数列,且
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e15be6eb86b5f1746b0036a87c9ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb6ae18e9f28cbefd073bd6ac0c9e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d787262919c1d297882486899b8f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58117e8491e2af9216622235f2671b5f.png)
A.4050 | B.2025 | C.4052 | D.2026 |
您最近一年使用:0次
名校
2 . 已知等比数列
的首项为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6979c97deaf6c32f9dccccc842deb90d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.3 | B.6 | C.18 | D.36 |
您最近一年使用:0次
名校
3 . 已知在等比数列
中,
,
,若函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c4000a2d5ec362b83e853f5396a295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b336b25f72b109c9be93f9a27fd4a503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c26e52cd962748ed9b5678c7a0c0af.png)
A.2 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 已知
为正项等比数列,若
是函数
的两个零点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdcc824efc4d2f2f641796761847164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a8119f8d516905b2da2aa5f478d003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadc8c43370721b1841f0a0e56ef2fb0.png)
A.10 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知数列
为等比数列,
,
为函数
的两个零点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067dabdfe1a8a9950c3e3d4d9eae6199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd156a6a1ea00c357b79cfb903799eeb.png)
A.10 | B.12 | C.32 | D.33 |
您最近一年使用:0次
名校
6 . 已知数列
是等比数列,且
则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f601702059ce03d1a3b990eec782ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80746d5b004518f5732e672a3195d2da.png)
A.![]() | B.2 | C.3 | D.4 |
您最近一年使用:0次
7 . 已知数列
是公比不为1的正项等比数列,则
是
成立的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9a03ac8c7424aeaeaf4677ccd43be4.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
8 . 记
为等比数列
的前
项积.设命题
,命题
,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b7a78ec57def78993902d88572befb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fd3a2924aaee53d05dd603e90ec2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
名校
9 . 已知
为递减等比数列,且
,则
的概率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f64d5b1d831630334e494c39d0343872.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c57ed849af56c17a5e41d55646fba30.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 在等比数列
中,
是函数
的两个极值点,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da98bac77d031103679401d8989120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448166e46c3b1035980bfad927a10c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fc3dfaf2d0689397d71431ce3aaec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.3 | B.![]() | C.![]() | D.9 |
您最近一年使用:0次