名校
1 . 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.![]() |
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解题方法
2 . 已知斜率为
的直线
与双曲线
的右支交于
,
两点,且
,若A关于y轴的对称点为B,设直线
的斜率为
,且
,则双曲线的离心率( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227983887ebfafdaaca0459afd93663c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb57bb18755127be041d346444a4743e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df555422666b23173db2581cdc0c377a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b541eb200fc9b410e249cde631d1d5.png)
A.2 | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 已知抛物线
,O为坐标原点,F为抛物线C的焦点,
为抛物线C上一点,且
,若
为锐角三角形,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ae65349c438b66a8ff99e7130393f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a2dbc7c98ef326967d3f27c4e69df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10238cf379086b892b90be7834c3e32e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
A.![]() | B.1 | C.8 | D.16 |
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4 . 已知定义域为
的可导函数
,导函数为
,且
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00e6529e9a0f9344d9c2d179e6ce846.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00e6529e9a0f9344d9c2d179e6ce846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc310df5a6b8fd8e1c8761ccc3bee514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6075fd107cb58c1b51b21a73977c8e68.png)
A.1012 | B.2024 | C.3036 | D.4048 |
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5 . 已知函数
在点
处的切线
在
轴上的截距等于
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e60d05d4b03bc430ad6070ca48c758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3c61b45914a4f656b56457fb69ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.0 | C.1 | D.2 |
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6 . 某品牌的有芯卷筒卫生纸是将卫生纸绕在圆柱形的空心纸筒上,未使用时整卷卫生纸的直径为
,其中中间空心纸筒的直径为
;若该品牌卫生纸每张的厚度是
,且某人每次使用
长的卫生纸,则一整筒卫生纸他大约可以使用的次数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb40a73c20381d4dd5c891ccfbd1daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e551c9a6d3365005d38c00bc0436868.png)
A.66 | B.132 | C.264 | D.314 |
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7 . 已知等比数列
不是单调数列,
是数列
的前
项和,且
,
,则该等比数列的公比为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f86a8746a583f411fb73c6334eb27b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77938c3d50a8ce4b9210c554cb2213dd.png)
A.![]() | B.![]() | C.1 | D.![]() |
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8 . 已知随机变量X的分布列如下:
则随机变量X的期望
( )
![]() | 0 | 1 | 2 |
![]() | ![]() | ![]() | ![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac87b4bd71432d757c7b78bbd6b2dcfd.png)
A.![]() | B.![]() | C.![]() | D.2 |
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2024-05-23更新
|
286次组卷
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4卷引用:江西省三新协同教研共同体2023-2024学年高二下学期5月联考数学试题
江西省三新协同教研共同体2023-2024学年高二下学期5月联考数学试题贵州省黔西南州金成实验学校2023-2024学年高二下学期第三次质量检测数学试题(已下线)专题06 离散型随机变量与正态分布--高二期末考点大串讲(苏教版2019选择性必修第二册)(已下线)必考考点6 离散型随机变量与分布列 专题讲解 (期末考试必考的10大核心考点)
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解题方法
9 . 已知函数
,且
在区间
上单调递增,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d9579e38a3e7e2ca8d64db48ac91c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
A.0 | B.![]() | C.![]() | D.-1 |
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2024-05-19更新
|
500次组卷
|
4卷引用:江西省宜春市宜丰中学2023-2024学年高二下学期6月月考数学试题(创新部)
江西省宜春市宜丰中学2023-2024学年高二下学期6月月考数学试题(创新部)(已下线)5.3.2函数的极值与最大(小)值(2)云南省2024届高三“3+3+3”高考备考诊断性联考卷(三)数学试卷(已下线)专题15 用导数研究函数的极值(最值)(一题多变)
10 . 已知数列
满足
,
,
,若数列
的前
项和为
,则所有满足
的
的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14835bf3f00139ccec0694d0924db795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4123422b5a6621da6a3214aa8c3e2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a97aa79f9746d819f37958c3f240965.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/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a4a9144e09f88e420731038354d5202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.875 | B.918 | C.994 | D.1015 |
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2024-05-19更新
|
206次组卷
|
3卷引用:江西省抚州市金溪县第一中学等校2023-2024学年高二下学期期中考试数学试卷
江西省抚州市金溪县第一中学等校2023-2024学年高二下学期期中考试数学试卷 江西省南昌市安义中学2023-2024学年高二下学期4月期中调研测试数学试题(已下线)4.3.2等比数列的前n项和公式(2)