名校
1 . 设数列
的前
项和为
.若对任意正整数
,总存在正整数
,使得
,则称是“
数列”.
(1)若数列
的前n项和
,证明:
是“
数列”;
(2)设
是等差数列,其首项
,公差
.若
是“
数列”,求
的值;
![](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/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3693c7c942afef5517a3c18997c878df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf2c8701f26bb9be8904e59cadbd244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8bbb4a09e0ac86bbae46222a90841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
您最近一年使用:0次
2022-01-02更新
|
605次组卷
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5卷引用:贵州省六盘水市外国语学校2021-2022学年高二上学期期中考试数学试题
贵州省六盘水市外国语学校2021-2022学年高二上学期期中考试数学试题安徽省滁州中学2020-2021学年高三上学期10月综合能力测试文科数学试题【全国百强校】北京东城区北京二中2016-2017学年高一下学期期中考试数学试题上海市格致中学2016-2017学年高二上学期期中数学试题(已下线)解密08 等差、等比数列(讲义)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(新高考专用)
解题方法
2 . (1)
在区间
恒成立,求实数
的取值范围
(2)已知
为正实数,且满足
;证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76306d1362d1bd0d2a5d04a19c593381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748994c7a960205bceb116675069ff08.png)
您最近一年使用:0次
解题方法
3 . 若函数
是指数函数
(1)求
,
的值;
(2)求解不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c98609627aa12f359090605d9c32b6.png)
(3)证明![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20e56d9e08b8e59f5053e353933dc5d.png)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fbb7738455e88a9fe807a56d65b106.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c98609627aa12f359090605d9c32b6.png)
(3)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20e56d9e08b8e59f5053e353933dc5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a6f97682685e4d6135ce4431324524.png)
您最近一年使用:0次
名校
4 . 如图,在四棱锥
中,底面
是边长为
的菱形,
,侧面
为等边三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/39769caa-db2f-4cb1-ad3a-b28a3115e6af.png?resizew=186)
(1)求证:
;
(2)若
的大小为
,求
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/39769caa-db2f-4cb1-ad3a-b28a3115e6af.png?resizew=186)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c911b404bbb8f8d5f1470585fa31ad97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
2021-08-28更新
|
874次组卷
|
4卷引用:贵州省六盘水红桥学校2022届高三适应性月考数学(理)试题
名校
解题方法
5 . 如图,在四棱锥
中,底面
是边长为
的菱形,
,侧面
为等边三角形.
![](https://img.xkw.com/dksih/QBM/2021/8/27/2795037002809344/2795237395087360/STEM/66101abcd3b543a8bbf1c162bb976e0d.png?resizew=227)
(1)求证:
;
(2)若平面
平面
,点
为
的中点,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6906f59d09ce31956d6f5ea2b23fc77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://img.xkw.com/dksih/QBM/2021/8/27/2795037002809344/2795237395087360/STEM/66101abcd3b543a8bbf1c162bb976e0d.png?resizew=227)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfa54114f04a75b8c96165b3718ed7f.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212b200cb65843fe03aab377d53991d7.png)
您最近一年使用:0次
2021-08-27更新
|
493次组卷
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4卷引用:贵州省六盘水市红桥学校2022届高三上学期适应性月考数学(文)试题
贵州省六盘水市红桥学校2022届高三上学期适应性月考数学(文)试题云南省师范大学附属中学2022届高三高考适应性月考卷(二)数学(文)(已下线)专题19 立体几何(解答题)-备战2022年高考数学(文)母题题源解密(全国甲卷)四川省达州市2023届高三第一次诊断测试模拟考试文科数学试题
6 . 数列
满足
,
,(p,q为常数).
(1)当
,
,数列
,求数列
前n项和.
(2)当
,
时,
,证明
为等比数列,并求
的前n项和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f078744c54ed52bfd04939b66861f15.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194b8ab194c7d299d5c3e0f09ec18384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d9b6c86435e0ceff94d8ad1cd03737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d005409790b3192705a181b2c8e7dfed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acff98078cdd32804d8f1c4efbe2ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa9bf65189dfb57a61644a1cb27f361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad84406d1a0521d8b3e3c967b251396d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在四棱锥P-ABCD中,底面ABCD为正方形,PA⊥平面ABCD,PA=AD=1,E,F分别是PB,AC的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/c1ebc8d8-22c0-499d-81b2-1468f911a3d2.png?resizew=170)
(1)证明:
平面
;
(2)求三棱锥
的体积.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/c1ebc8d8-22c0-499d-81b2-1468f911a3d2.png?resizew=170)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90deda6e128fade762bdb3b74bedf511.png)
您最近一年使用:0次
2021-12-15更新
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1555次组卷
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12卷引用:贵州省六盘水红桥学校2021-2022学年高二上学期期中考试数学试题
贵州省六盘水红桥学校2021-2022学年高二上学期期中考试数学试题广西玉林市育才中学2020-2021学年高二3月月考数学(文)试题四川省眉山市仁寿第一中学南校区2021-2022学年高二上学期入学考试数学试题四川省遂宁市射洪中学2021-2022学年高二上学期第一次月考数学理试题(已下线)专题13.3 空间图形的表面积和体积(基础练)-2020-2021学年高一数学十分钟同步课堂专练(苏教版2019必修第二册)新疆乌鲁木齐市第八中学2021-2022学年高二上学期第二次月考数学(问卷)试题山东省2021年冬季普通高中学业水平合格性考试仿真模拟数学试题吉林省长春外国语学校2020-2021学年高三上学期期初考试数学试题甘肃省天水市第一中学2021-2022学年高二下学期学业水平模拟考试(二)数学试题(已下线)第8.5讲 空间直线、平面的平行河北省石家庄市元氏县第四中学2022-2023学年高二上学期开学考试数学试题四川省遂宁市射洪中学校2022-2023学年高二上学期第一次学月考试数学(理科)试题
名校
解题方法
8 . 已知椭圆
过点
,且离心率为
.
(1)求椭圆
的方程;
(2)设直线
(不经过点
)交椭圆
于点
,
,若直线
与直线
的斜率之和为
,求证
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d8cc13666ef5e288a3c98e2fc56aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de85df85401e7e8da683ea4a784963c.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2021-08-28更新
|
1005次组卷
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4卷引用:贵州省六盘水红桥学校2022届高三适应性月考数学(理)试题
贵州省六盘水红桥学校2022届高三适应性月考数学(理)试题云南省师范大学附属中学2022届高三高考适应性月考卷(二)数学(理)试题云南省师范大学附属中学2022届高三上学期高考适应性月考卷(二)数学(理)试题(已下线)一轮复习大题专练58—椭圆(定点问题)—2022届高三数学一轮复习
9 . 已知函数
;且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462d648a207f1a064ae00eb8d8969a03.png)
(1)求
的解析式,并判断
是否具有奇偶性,请说明理由.
(2)用定义法证明
在
单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7355cbf9bdb3d727e968c0bb642bd1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462d648a207f1a064ae00eb8d8969a03.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)用定义法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3baa3392be365858498c37ff4d76e67c.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
(1)判断
的单调性并用定义证明.
(2)在(1)的条件下,若实数
满足
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda679cfa78cb2bd36c6053aab24dce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6330540758a21f46fc7a6d1e6328d8.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)在(1)的条件下,若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4822413258fc3d417dd943c912f56920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-10-26更新
|
1061次组卷
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3卷引用:贵州省六盘水红桥学校2021-2022学年高一上学期期中考试数学试题