2024高三下·全国·专题练习
1 . 已知前
项和为
的正项等比数列
中,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abac455d09d8836bc637142bc9e2ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9990d2b1f1099520a70eb90bc2446510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26a7307fe643ac2bbef8bdab15ce4187.png)
A.![]() | B.![]() |
C.![]() | D.数列![]() ![]() |
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2 . 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.![]() |
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3 . 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 |
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4 . 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)
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5 . 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 |
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2024·全国·模拟预测
解题方法
6 . 已知等比数列
满足
,则
有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3cce517159ca57487980bd12f616ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540dd7b7bc59898ad06370948e250748.png)
A.最小值![]() | B.最大值18 | C.最小值27 | D.最大值![]() |
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解题方法
7 . 已知正项数列
是公比不等于1的等比数列,且
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff127c5894dccde5d13225154c65063.png)
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46252ac070020798942480959f648153.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34992c6184a8e5a1831221ef4aa9f1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aff127c5894dccde5d13225154c65063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2809995903ff16ec696de6d4c761c7e.png)
A.2020 | B.4046 | C.2023 | D.4038 |
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2024·全国·模拟预测
解题方法
8 . 设
为等比数列
的前
项和,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/6b838daca55daff715fde86c33b88fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de4c7d16d02e988c53ead167f57b0a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acb96235b69d8906be2026e0efcce7c.png)
A.20 | B.10 | C.5 | D.2 |
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9 . 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![]() ![]() ![]() |
C.若数列![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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10 . 已知等比数列
的前
项和为
,且
,
,则
( )
![](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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e5dadfc7d9b12bea102cc0ce5bfcc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e1ea98332ed9c0d2ad7c07e149699d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36243198e5e20c56399e4ad5ac3c519.png)
A.9 | B.16 | C.21 | D.25 |
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2024-04-24更新
|
1547次组卷
|
3卷引用:北京市朝阳区2024届高三下学期质量检测一数学试题