1 . 已知函数
,曲线
在点
处的切线与
轴交点的横坐标为
.
(1)求
;
(2)证明:当
时,曲线
与直线
只有一个交点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85417b79b6eae94c7eefd460272c42bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094cba781181aeb90752170e9ba6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df2817c52144d06555e98131b5e657c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d8041c797b98b834c70dbf7d1d4346.png)
您最近一年使用:0次
2016-12-03更新
|
9279次组卷
|
10卷引用:贵州省三穗县民族高级中学2021-2022学年高二上学期期末考试数学(文)试题
贵州省三穗县民族高级中学2021-2022学年高二上学期期末考试数学(文)试题2014年全国普通高等学校招生统一考试文科数学(全国Ⅱ卷)四川省雅安市2016-2017学年高二下学期期末考试数学(理)试题黑龙江省哈尔滨市第六中学2018届高三10月阶段考试数学(文)试题黑龙江省牡丹江市爱民区第三高级中学2018-2019学年高二下学期期末数学(文)试题(已下线)专题09 导数的综合应用-十年(2011-2020)高考真题数学分项(已下线)专题04 函数导数及其应用-十年(2012-2021)高考数学真题分项汇编(全国通用)天津市红桥区2018-2019学年高三上学期期末文科数学试题(已下线)专题04 导数解答题-2(已下线)专题22 导数解答题(文科)-2
2013·贵州黔东南·二模
2 . 设数列
满足:
,点
均在直线
上.
(1)证明数列
为等比数列,并求出数列
的通项公式;
(2)若
,求数列
的前
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/429f9b763a8b7cdaef80eafe7625910c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6342e0a5a8942cfb1cf535ceb2c50d.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2de706dc5f0439b989273a5367f63a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa51c8baa664d7444153182b7ff5ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764b64feeb9c9c6744527b92420ed182.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2016-12-02更新
|
2248次组卷
|
3卷引用:2013届贵州黔东南州高三第二次模拟(5月)考试理科数学试卷
2012·贵州黔东南·一模
3 . 已知函数
的图象经过![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8110af10ad85bc6b8d5b38298d9d368.png)
其中![](https://img.xkw.com/dksih/QBM/2012/4/18/1570836999151616/1570837004812288/STEM/b38e40fe9f8f4759b7fd241d13cad912.png?resizew=12)
为自然对数的底数,
).
(Ⅰ)求实数
;
(Ⅱ)求
的单调区间;
(Ⅲ)证明:对于任意的
,都有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5ffa9c47c9fb3e392ce5a729b5a9ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8110af10ad85bc6b8d5b38298d9d368.png)
![](https://img.xkw.com/dksih/QBM/2012/4/18/1570836999151616/1570837004812288/STEM/4d3b538def084e34a26f19993d6b5320.png?resizew=11)
![](https://img.xkw.com/dksih/QBM/2012/4/18/1570836999151616/1570837004812288/STEM/b38e40fe9f8f4759b7fd241d13cad912.png?resizew=12)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d84b8240c6eeccaed068ceeb0d5616ec.png)
(Ⅰ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅲ)证明:对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a13eaa9e948e72495ff081843cbabf2.png)
您最近一年使用:0次
4 . 选修4-1:几何证明选讲
已知直线
与圆
相切于点
,经过点
的割线
交圆
于点
和点
,
的平分线分别交
、
于点
和
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/12dc98a3-1b6d-4fd1-b736-4aca1d54f188.png?resizew=219)
(1)证明:
;
(2)若
,求
的值.
已知直线
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/e10c82174fb0401382039070c04ab89d.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/5d872bbf383e4bf68351861936f2f338.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/5189ce1a15714676b43de17013cbfd6e.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/5d872bbf383e4bf68351861936f2f338.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/f9ef9add05804a0e86d14cb25f100f35.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/5d872bbf383e4bf68351861936f2f338.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/851059773c4f4a9bbc55349ef36428b9.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/9b077f553741425a87098b787382d23b.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/8c0ac6c270b946bdbe3a7bce67cdfb91.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/ad15bd207c09463fbd172c46cbf2e210.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/dc80291f243845ac8b868c98985569c0.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/c3714d814a78430a834b70947e442494.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/54953e17d9fc43ab81cc6193d0f0445a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/2/12dc98a3-1b6d-4fd1-b736-4aca1d54f188.png?resizew=219)
(1)证明:
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/41393a6b191e41b5bcf43bb05b6e9d58.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/d4075433450a49a2b9d1cdf69164bea7.png)
![](https://img.xkw.com/dksih/QBM/2016/3/1/1572507975041024/1572507981373440/STEM/c4789e907c584e12a0d374f83533932c.png)
您最近一年使用:0次
2016-12-04更新
|
178次组卷
|
2卷引用:2015届贵州省凯里一中高三模拟考试文科数学试卷
5 . 如图,已知四棱锥
,底面
是等腰梯形,且
,
是
中点,
平面
,
,
是
中点.
![](https://img.xkw.com/dksih/QBM/2019/5/7/2198430889222144/2198533857992704/STEM/bfb1469c9c4f48d58e5efaa98b824ac5.png?resizew=140)
(1)证明:平面
平面
;
(2)求点A到平面
的距离.
![](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/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc3c35ffa4d121697f59b044b43d064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/2019/5/7/2198430889222144/2198533857992704/STEM/bfb1469c9c4f48d58e5efaa98b824ac5.png?resizew=140)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897c7b6907b4fd08cfacb36b7b993f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1220cf7442bc7658dbd74a845a62dfce.png)
(2)求点A到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
2016-12-02更新
|
1753次组卷
|
3卷引用:【全国百强校】贵州省凯里市第一中学2018届高三下学期第四套模拟考试数学(文)试题
【全国百强校】贵州省凯里市第一中学2018届高三下学期第四套模拟考试数学(文)试题(已下线)2014届吉林省长春市高中毕业班第二次调研测试文科数学试卷【校级联考】江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高二下学期期中考试数学(理)试题
6 . 数列
中,
(Ⅰ)证明:数列
是等比数列,并求
;
(Ⅱ)求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920f5fd060a1d7fff93edf3ae3e4d4c0.png)
(Ⅰ)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
(Ⅱ)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2767882820f4ba0defde0e412adb747f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
您最近一年使用:0次
2012·贵州黔东南·一模
名校
7 . 如图,在四棱锥
中,
平面
,
,
,
.
(Ⅰ)证明:
;
(Ⅱ)求
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81981fd7b343f4fe2db8f36eb66c1ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c8da3f0d427ddb6e85bb9f6c8c74e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(Ⅱ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/943f90e1-c113-49eb-b279-60cfcfa03332.png?resizew=129)
您最近一年使用:0次
真题
名校
8 . 设数列
的前
项和为
已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b49e96784918dbe41ab69d2e9b64e1.png)
(I)设
,证明数列
是等比数列.
(II)求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d7a9511c3d1b6d41d17df1559919880.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14f5fdf0e4f9de36f08402dd96d237e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0b49e96784918dbe41ab69d2e9b64e1.png)
(I)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac8e1d60f036093acd1e8fb476226b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
(II)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
您最近一年使用:0次
2016-11-30更新
|
4082次组卷
|
31卷引用:2015-2016学年贵州省凯里一中高二上滾动训练3数学试卷
2015-2016学年贵州省凯里一中高二上滾动训练3数学试卷2009年普通高等学校招生全国统一考试理科数学(全国卷Ⅱ)(已下线)2010年贵州省遵义市高三考前最后一次模拟测试数学(文)试题(已下线)2012届安徽省无为县大江、开城中学高三上学期联考理科数学(已下线)2011-2012学年四川绵阳南山中学高一5月月考数学试卷(已下线)2011-2012学年云南省玉溪一中高二下学期期末理科数学试卷黑龙江省肇东市第一中学2016-2017学年高一下学期期中考试数学试题广东省深圳市耀华实验学校2018届高三上学期(实验班)期中考试数学(文)试题(已下线)《高频考点解密》—解密11 等差数列、等比数列(已下线)解密10 等差数列、等比数列-备战2018年高考文科数学之高频考点解密【全国百强校】西藏山南市第二高级中学2019届高三下学期第一次模拟考试数学(理)试题【全国百强校】黑龙江省双鸭山市第一中学2018-2019学年高一下学期期中考试数学(文)试题人教A版 成长计划 必修5 第二章数列 高考链接安徽省安庆市潜山第二中学2019-2020学年高二上学期第一次月考数学试题陕西省宝鸡市烽火中学2018-2019学年高二上学期期中数学(文理)试题沪教版(上海) 高三年级 新高考辅导与训练 第四章 数列与数学归纳法 一、等差数列与等比数列(已下线)考点32 等比数列的概念、通项公式与求和公式应用(考点专练)-备战2021年新高考数学一轮复习考点微专题云南省保山市第九中学2021届高三第三次月考数学(理)试题云南省保山市第九中学2021届高三第三次月考数学(文)试题(已下线)4.3.1 等比数列的概念(第2课时)(练习)-2020-2021学年上学期高二数学同步精品课堂(新教材人教版选择性必修第二册)(已下线)解密10 等差数列、等比数列(讲义)-【高频考点解密】2021年高考数学(文)二轮复习讲义+分层训练(已下线)解密10 等差数列、等比数列(讲义)-【高频考点解密】2021年高考数学(理)二轮复习讲义+分层训练西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(理)试题西藏自治区拉萨中学2020-2021学年高二下学期第六次月考数学(文)试题(已下线)考点41 等比数列-备战2022年高考数学一轮复习考点帮(新高考地区专用)【学科网名师堂】(已下线)专题五 等比数列-2020-2021学年高中数学专题题型精讲精练(2019人教B版选择性必修第三册)(已下线)第41讲 等比数列沪教版(2020) 一轮复习 堂堂清 第四单元 4.3 等比数列沪教版(2020) 选修第一册 高效课堂 第四章 4.3 数列甘肃省张掖市某重点校2023-2024学年高二上学期10月月考数学试题广东省龙城高级中学2018 2019学年度第二学期期中考试高二数学试卷(理科)(无答案)
9 . 已知函数
.
(1)求
的极值;
(2)已知
,且
,用函数
性质证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafb94c1205634b96a4042a7cb7facc5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84624ddb3f05c1d41e6fc24db2a4ad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895a921249ca11c61d751228920ea2ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6bf3b4facf23aa0582a20822a4fbafd.png)
您最近一年使用:0次
10 . 已知函数
.
(1)试讨论函数
的单调性;
(2)对
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8160543902f16704412b6cc37705b87.png)
(1)试讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce77771964981e26991baedd2a8c200.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9b7ef7b53169c74c58b723da57abda.png)
您最近一年使用:0次