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1 . 在各项为正的等比数列
中,
与
的等比中项为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f241f8c4db8d7c1bf032cedb69202ed.png)
A.1 | B.2 | C.3 | D.4 |
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名校
2 . 已知等比数列
的各项均为正数,公比
,且满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c656ffb75363e18d211963695739c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
A.2 | B.4 | C.8 | D.16 |
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解题方法
3 . 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 |
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4 . 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 |
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5 . 关于等差数列和等比数列,下列说法不正确的是( )
A.若数列![]() ![]() ![]() ![]() |
B.若数列![]() ![]() ![]() |
C.若数列![]() ![]() ![]() ![]() ![]() ![]() |
D.若数列![]() ![]() ![]() |
您最近一年使用:0次
2024-06-11更新
|
272次组卷
|
2卷引用:黑龙江省哈尔滨市实验中学2023-2024学年高二下学期期中考试数学试卷
名校
6 . 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
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7 . 已知正项数列
是递增的等差数列,
是公比为
的等比数列,且满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe0f4e8a80a2840c0f6929a8a6351b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0426eb784f9c387f6a0d2e7e21a11118.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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8 . 已知数列
、
满足
,
,其中
是等差数列,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92cb5df2f912f155cf12dae0b30c1e9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010baf415f792018ad9abd752e37b983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61a41b7c5f96eeb0de11b6273b523a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b92cb5df2f912f155cf12dae0b30c1e9.png)
您最近一年使用:0次
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9 . 已知等比数列
中,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb334e165679c6cb500c994cffa47147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d648520b133ad41c505d5713cb656cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dbd9ff686703cad03aa383e5fec21.png)
您最近一年使用:0次
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10 . 已知正项等比数列
的公比为
,前
项积为
,且满足
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c22c96b4d06bc3172cbeb08f4e8c4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fda19ed906674db17afeeee6e12f4e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次